Towards a mathematical theory of cortical micro-circuits
Open accessAbstract
The theoretical setting of hierarchical Bayesian inference is gaining acceptance as a framework for understanding cortical computation. In this paper, we describe how Bayesian belief propagation in a spatio-temporal hierarchical model, called Hierarchical Temporal Memory (HTM), can lead to a mathematical model for cortical circuits. An HTM node is abstracted using a coincidence detector and a mixture of Markov chains. Bayesian belief propagation equations for such an HTM node define a set of functional constraints for a neuronal implementation. Anatomical data provide a contrasting set of organizational constraints. The combination of these two constraints suggests a theoretically derived interpretation for many anatomical and physiological features and predicts several others. We describe the pattern recognition capabilities of HTM networks and demonstrate the application of the derived circuits for modeling the subjective contour effect. We also discuss how the theory and the circuit can be extended to explain cortical features that are not explained by the current model and describe testable predictions that can be derived from the model.
AI snapshot
Written from the paper’s full text.
TL;DR
The paper formulates Hierarchical Temporal Memory (HTM) as a Bayesian belief-propagation model of cortical microcircuits and maps its abstract neuronal implementation onto laminar and columnar cortical anatomy. It also reports HTM vision experiments, including object recognition benchmarks and a feedback-based model of the subjective contour effect.
Key findings
- The authors derive belief-propagation equations for an HTM node using coincidence patterns and Markov chains, then propose a cortical mapping: layer 4 stellate cells for coincidence likelihood, layer 2/3 pyramidal cells for sequence states and feed-forward/feedback computations, layer 5 cells for belief and timing, and layer 6 cells for feedback messages to child regions.
- On the Pictures line-drawing dataset, an HTM with Markov-chain temporal pooling only at level 1 achieved 49% recognition accuracy; adding temporal pooling at higher levels increased accuracy to 72%, compared with 35% for a nearest-neighbor classifier using the same top-level training paradigm.
- On Caltech-101, initial HTM experiments achieved 50% recognition with 15 training images and 62% with 30 training images; on a 4-category grayscale set with over 10,000 training images, the network gave 92% accuracy on a holdout set. Temporal inference improved frame-by-frame recognition by up to 30% over sliding-window averaging (window length = 4).
- In a Kanizsa square test, the network classified the pattern as a rectangle despite not being trained on Kanizsa squares; a node with no feed-forward contour input showed nonzero feedback, modeling the subjective contour effect, and a corrupted Kanizsa figure produced a weaker response.
Methods
- Theoretical/modeling study: starts from the HTM generative model, derives Bayesian belief-propagation equations for an HTM node, builds an abstract neuron-like circuit, and maps it onto cortical layers and columns by matching computational specifications with anatomical data.
- Experiments used Numenta’s NuPIC HTM networks for visual object recognition on the Pictures dataset (48 categories of 32×32 line drawings), Caltech-101, a 4-category grayscale dataset, temporal inference on Pictures, top-down segmentation, and subjective contour/Kanizsa tests.
- Analysis consisted of benchmark recognition-accuracy comparisons and qualitative inspection of node feed-forward and feedback states; no biological experiments are reported.
Limitations
- The paper states the model is a starting point, the biological mapping is not unique, and it does not address learning, attention, motor action, asynchronous messages, detailed dendritic properties, inhibitory cells, cortical maps, or sparse distributed representations within a node; it also assumes singly connected non-loopy networks for simplicity.
- The paper states the timing/duration mechanism is conjectural, the non-specific thalamic timing loop lacks direct evidence, no recordings from non-specific thalamic cells were found, and the subjective contour results are preliminary.
- Evident from the text: the biological predictions are largely untested, the benchmark experiments are from Numenta/NuPIC and not independent, and no statistical tests or error bars are reported for the recognition results.
Model-written summary. Check it against the paper before relying on it.
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Claims the paper makes
0 of 99 cited sources checked · 0 supported · 0 flagged
- Findingcitation
A simple way to learn the mixture of Markov chains for real world cases is to learn a large transition matrix that is then partitioned using a graph partitioning algorithm.
“We have found that a simple way to learn the mixture of Markov chains for real world cases is to learn a large transition matrix that is then partitioned using a graph partitioning algorithm [27].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [27] D George, 2007, The HTM Learning Algorithms
Not checked in the free run.
- Findingown data
Storing a fixed number of a random selection of coincidence patterns is sufficient as long as multiple coincidence patterns are allowed to be active at the same time.
“we have found that storing a fixed number of a random selection of the coincidence patterns is sufficient as long as we allow multiple coincidence patterns to be active at the same time.”
Quote in the paperSubstantial claim - Findingown data
Reasonable results can be achieved with a wide range of the number of coincidences stored.
“We have found that reasonable results can be achieved with a wide range of the number of coincidences stored.”
Quote in the paperNot a substantial claim - Findingown data
Our literature search and private conversations with several thalamic anatomists have yielded no evidence of anyone ever recording from non-specific thalamic cells.
“Our literature search and private conversations with several thalamic anatomists have yielded no evidence of anyone ever recording from non-specific thalamic cells.”
Quote in the paperNot a substantial claim - Findingreasoning
When looking for anatomical data satisfying the constraints, the cortical projections to and from non-specific thalamic cells were the best fit.
“When we looked for anatomical data that satisfied these constraints, the cortical projections to and from non-specific thalamic cells were the best fit.”
Quote in the paperSubstantial claim
- Findingreasoning
Beyond connectivity there is nothing else to support the conjecture that non-specific thalamic cells generate a variable timing signal.
“Beyond this connectivity there is nothing else to support this conjecture.”
Quote in the paperNot a substantial claim - Findingcitation
Preliminary positive results were obtained modeling the subjective contour effect in visual inference using these circuits.
“In this section, we report some preliminary positive results that we obtained modeling the subjective contour effect in visual inference [63] using these circuits.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [63] G Kanizsa, 1976, Subjective contours., Sci Am source
Not checked in the free run.
- Findingown data
Adding more levels did not help in improving the recognition accuracy on the test set.
“Adding more levels did not help in improving the recognition accuracy on our test set.”
Quote in the paperNot a substantial claim - Findingown data
A corrupted Kanizsa square produced a subjective contour response similar to, but substantially weaker than, the one produced by an intact Kanizsa figure.
“the corrupted rectangle produces a subjective contour response similar to, but substantially weaker than, the one produced by an intact Kanizsa figure.”
Quote in the paperSubstantial claim - Findingown data
After training only on intact rectangle images, the HTM network recognized novel rectangles of different aspect ratios.
“Only intact rectangle images were shown during training. The network then recognized novel rectangles of different aspect ratios.”
Quote in the paperNot a substantial claim - Findingreasoning
Even with the combination of computational constraints and available anatomical data, several degrees of freedom remain in the mapping to biology.
“Even with the combination of computational constraints and available anatomical data, several degrees of freedom remain in the mapping to biology.”
Quote in the paperSubstantial claim - Findingown data
In feedback propagation experiments, in most cases, one of the objects in the test image was the top result in the inference.
“In most cases, one of the objects in the test image was the top result in the inference.”
Quote in the paperSubstantial claim - Findingnone given
The circuits derived in the paper attempt to explain only the information processing in a learned model.
“The circuits derived here attempt to explain only the information processing in a learned model.”
Quote in the paperSubstantial claim - Findingown data
The resultant image obtained at the lowest level of the network isolates the contours of the recognized image from the background clutter and from other objects in the scene.
“The resultant image obtained at the lowest level of the network isolates the contours of the recognized image from the background clutter and from other objects in the scene.”
Quote in the paperSubstantial claim - Findingreasoning
Some intra-columnar vertical connections required to support the belief propagation equations can be pre-wired because they do not depend on external stimuli.
“some of the intra-columnar vertical connections required to support the belief propagation equations can be pre-wired because these connections do not depend on external stimuli.”
Quote in the paperNot a substantial claim - Findingown data
The authors' limited experience with implementing overlapping input fields has shown no tendency for loop-induced failures.
“our limited experience with implementing overlapping input fields have similarly shown no tendency for loop-induced failures.”
Quote in the paperNot a substantial claim - Findingown data
HTM network hierarchies with four levels work best for the Pictures task.
“We found that HTM network hierarchies with four levels work best for the Pictures task.”
Quote in the paperNot a substantial claim - Findingreasoning
Most other connections, the ones representing sequence memories and coincidence patterns, are learned.
“Most other connections, the ones representing sequence memories and coincidence patterns, are learned.”
Quote in the paperNot a substantial claim - Findingown data
Incorporating Markov chains based temporal pooling at higher levels increased the recognition accuracy on test sets to 72%.
“We found that incorporating Markov chains based temporal pooling at higher levels increased the recognition accuracy on test sets to 72%.”
Quote in the paperSubstantial claim - Findingown data
In temporal inference experiments on the Pictures data set, the recognition accuracy of the network that used temporal inference was up to 30% higher compared to the recognition accuracy obtained by a sliding window averaging (window length = 4) of frame-by-frame instantaneous recognition.
“The recognition accuracy of the network that used temporal inference was up to 30% higher compared to the recognition accuracy obtained by a sliding window averaging (window length = 4) of frame-by-frame instantaneous recognition.”
Quote in the paperSubstantial claim - Findingown data
A nearest neighbor classifier using exactly the training paradigm used to train the top level of the HTM gives only 35% accuracy.
“In comparison, a nearest neighbor classifier using exactly the training paradigm used to train the top level of the HTM gives only 35% accuracy.”
Quote in the paperNot a substantial claim - Findingnone given
The subjective contour effect in the model was generated exclusively by feedback circuits.
“The subjective contour effect in our model was generated exclusively by feedback circuits.”
Quote in the paperSubstantial claim - Findingown data
With modifications including Gabor filters and restricted receptive fields, several gray scale image recognition networks could be successfully trained.
“With these modifications, we could successfully train several gray scale image recognition networks.”
Quote in the paperSubstantial claim - Findingown data
In the HTM network, a node whose receptive field contained no actual contours had zero feed-forward input and nonzero feedback input because the network expected the edges of a rectangle, which is the subjective contour effect.
“There are no actual contours in the receptive field of this node. Therefore, the feed-forward input of this node is zero. However, the feedback input is nonzero because the network expects the edges of a rectangle. This is the subjective contour effect.”
Quote in the paperSubstantial claim - Findingown data
The HTM network classified a Kanizsa square test pattern as a rectangle even though this type of pattern was not seen during training.
“The network classifies this pattern as a rectangle, even though this type of pattern was not seen during training.”
Quote in the paperSubstantial claim - Findingown data
In this paper, the authors mapped a model of how the neocortex performs inference onto neocortical anatomy.
“In this paper we have mapped a model of how the neocortex performs inference onto neocortical anatomy.”
Quote in the paperSubstantial claim - Findingown data
The authors showed results of an experiment where an HTM-based vision system exhibited the effects of illusory contours.
“We also showed results of an experiment where an HTM-based vision system exhibited the effects of illusory contours.”
Quote in the paperNot a substantial claim - Premisereasoning
This arrangement corresponds to a temporal hierarchy analogous to the kind reported by Hasson and colleagues.
“In addition, due to the temporal nature of HTM, this arrangement corresponds to a temporal hierarchy analogous to the kind reported by Hasson and colleagues [37].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [37] U Hasson, 2008, A hierarchy of temporal receptive windows in human cortex., J Neurosci source
Not checked in the free run.
- Interpretationreasoning
The feed-forward and feedback connections to a set of cortical columns carry the belief propagation messages.
“The feed-forward and feedback connections to a set of cortical columns carry the belief propagation messages.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
The only difference between the belief calculation and the forward dynamic programming equations is the multiplication by a top-down factor.
“The only difference between these two is the multiplication by a top-down factor in the belief calculation equations.”
Quote in the paperSubstantial claim - Premisecitation
Prior neuron-level mechanisms for Bayesian belief propagation did not attempt to map these implementations to detailed cortical anatomy.
“However, they did not attempt to map these implementations to detailed cortical anatomy.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [4] S Deneve, 2005, Bayesian inference in spiking neurons, MIT Press.
Not checked in the free run.
- cites [13] RPN Rao, 2005, Hierarchical Bayesian Inference in Networks of Spiking Neurons, MIT Press.
Not checked in the free run.
- Interpretationreasoning
The operation of the rectangle neurons corresponds to pooling over the activations of all the circle neurons of the same Markov chain.
“Note that the operation of the rectangle neurons corresponds to pooling over the activations of all the circle neurons of the same Markov chain.”
Quote in the paperSubstantial claim - Interpretationreasoning
In the current model, feedback propagation plays an important role in understanding the evidence presented to a network.
“Even though feedback propagation in the current model does not affect feed-forward propagation, it plays an important role in understanding the evidence presented to a network.”
Quote in the paperNot a substantial claim - Premisecitation
Belief propagation computations in poly-tree structures have the property that the message from a child to a parent is influenced by the messages from all other parents to the child.
“Belief propagation computations in poly tree structures have the property that the message from a child to a parent is influenced by the messages from all other parents to the child.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [29] J Pearl, 1988, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference
Not checked in the free run.
- Interpretationreasoning
Higher-level cortical regions can possibly be modeled using a fewer number of HTM nodes.
“Therefore, higher-level cortical regions can possibly be modeled using a fewer number of HTM nodes.”
Quote in the paperSubstantial claim- Rests on an assumption: The number of non-exclusive patterns that needs to be maintained decreases as you ascend in the hierarchy.
- Interpretationnone given
The circuits in Figure 9 provide an exemplar instantiation of the Bayesian computations in laminar and columnar biological cortical circuits.
“The circuits in Figure 9 provide an exemplar instantiation of the Bayesian computations in laminar and columnar biological cortical circuits.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
The operation of the rectangle neurons is the operation involved in the calculation of the message this node sends to its parent according to Equation 3.
“It is easy to verify that this is the operation involved in the calculation of the message this node sends to its parent according to Equation 3.”
Quote in the paperSubstantial claim - Premisecitation
HTM nodes with multiple parents can be treated like the causal poly-tree structures described by Pearl.
“HTM nodes with multiple parents can be treated like the causal poly-tree structures described by Pearl [29].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [29] J Pearl, 1988, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference
Not checked in the free run.
- Premisecitation
Prior detailed models for cortical circuits do not incorporate the concepts of Bayesian inference in a hierarchical temporal model.
“However, these models do not incorporate the concepts of Bayesian inference in a hierarchical temporal model.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [10]–[12]
Not checked in the free run.
- Interpretationreasoning
The neuronal implementation of the dynamic programming part of the belief calculation equation is very similar to that of the forward dynamic programming variable.
“Therefore, the neuronal implementation of the dynamic programming part of the belief calculation equation is very similar to that of the forward dynamic programming variable .”
Quote in the paperNot a substantial claim - Interpretationnone given
The neurons in each column represent some aspect of the coincidence pattern that the column represents.
“The neurons in each column represent some aspect of the coincidence pattern that the column represents.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
To calculate efficiently, all past evidence needs to be collapsed into a state variable that can be updated recursively every time instant.
“To calculate efficiently, all the past evidence needs to be collapsed into a state variable that can be updated recursively every time instant.”
Quote in the paperSubstantial claim - Premisecitation
Belief propagation is found to work well in practice on many problems involving loops.
“Even though theoretical guarantees do not exist for belief propagation in loopy graphs, it is found to work well in practice on many problems involving loops [32],[33].”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [32] BJ Frey, 1998, A revolution: Belief propagation in graphs with cycles.
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- cites [33] K Murphy, 2000, Loopy-belief propagation for approximate inference: An empirical study.
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- Premisecitation
This arrangement corresponds to one of the basic organizing principles of the visual system where neurons in higher-level visual areas receive inputs from many neurons with smaller receptive fields in lower-level visual areas.
“This arrangement corresponds to one of the basic organizing principles of the visual system where neurons in higher-level visual areas receive inputs from many neurons with smaller receptive fields in lower-level visual areas [36].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [36] D Hubel, 1988, Eye, brain, and vision
Not checked in the free run.
- Interpretationown data
Equation 4 can have a very efficient neuronal implementation.
“Equation 4 can have a very efficient neuronal implementation as shown in Figure 4.”
Quote in the paperNot a substantial claim - Premisereasoning
This work is the first attempt to map the theory of Bayesian belief propagation and hierarchical and temporal inference onto cortical circuitry.
“To our knowledge, the work in this paper is the first attempt to map the theory of Bayesian belief propagation and hierarchical and temporal inference onto cortical circuitry.”
Quote in the paperSubstantial claim - Interpretationreasoning
A region of cortex that has several patterns simultaneously active will be implemented using several HTM nodes.
“A region of cortex that has several patterns simultaneously active will be implemented using several HTM nodes.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
Bayesian belief propagation in a spatio-temporal hierarchical model called Hierarchical Temporal Memory (HTM) can lead to a mathematical model for cortical circuits.
“In this paper, we describe how Bayesian belief propagation in a spatio-temporal hierarchical model, called Hierarchical Temporal Memory (HTM), can lead to a mathematical model for cortical circuits.”
Quote in the paperSubstantial claim - Interpretationnone given
If the receptive field is small enough, the different orientations can be considered mutually exclusive.
“If the receptive field is small enough, the different orientations can be considered mutually exclusive - the activity of one reduces the activity of the other.”
Quote in the paperNot a substantial claim - Premisecitation
Multiple top-down causes can be combined efficiently using the noisy OR-gate structures described in Pearl's book.
“Multiple top-down causes can be combined efficiently using the noisy OR-gate structures described in Pearl's book [29].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [29] J Pearl, 1988, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference
Not checked in the free run.
- Interpretationreasoning
A brute-force computation of the likelihood of Markov chains is not feasible because it requires enumeration of the likelihoods of an exponentially growing number of sample paths.
“A brute-force computation of this quantity is not feasible because this requires the enumeration of the likelihoods of an exponentially growing number of sample paths.”
Quote in the paperSubstantial claim - Premisecitation
There remains a gap between understanding of learning and inference in hierarchical Bayesian models and understanding of how it is implemented in cortical circuits.
“However, there still remains a gap between our understanding of learning and inference in hierarchical Bayesian models and our understanding of how it is implemented in cortical circuits.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [2] J Hegde, 2007, Reappraising the functional implications of the primate visual anatomical hierarchy., Neuroscientist source
Not checked in the free run.
- Interpretationnone given
Bayesian belief propagation equations for an HTM node define a set of functional constraints for a neuronal implementation.
“Bayesian belief propagation equations for such an HTM node define a set of functional constraints for a neuronal implementation.”
Quote in the paperSubstantial claim - Interpretationreasoning
Since an HTM node abstracts space as well as time, new equations must be derived for belief propagation in HTM nodes.
“Since an HTM node abstracts space as well as time, new equations must be derived for belief propagation in HTM nodes.”
Quote in the paperSubstantial claim - Interpretationnone given
In the current model, feedback propagation does not affect feed-forward propagation.
“Even though feedback propagation in the current model does not affect feed-forward propagation, it plays an important role in understanding the evidence presented to a network.”
Quote in the paperNot a substantial claim - Premisecitation
Self-loops lead to an exponential duration probability density that is inappropriate for most physical signals.
“However, self-loops lead to an exponential duration probability density that is inappropriate for most physical signals [35].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [35] LR Rabiner, 1989, A tutorial on hidden Markov models and selected applications in speech recognition., Proceedings of the IEEE source
Not checked in the free run.
- Interpretationreasoning
The connections of layer 4 neurons correspond to the 'diamond' neurons in the belief propagation implementation shown in Figures 3, 4 and 5.
“It is easy to verify that the connections of these neurons correspond to the ‘diamond’ neurons in our belief propagation implementation shown in Figures 3 , 4 and 5.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Premisecitation
The major excitatory projection of layer 4 neurons is to layer 2/3 neurons.
“The major excitatory projection of layer 4 neurons is to layer 2/3 neurons [45].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [45] AM Thomson, 2007, Functional maps of neocortical local circuitry., Front Neurosci source
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- Premisecitation
Feedback connections from higher levels of the cortex rise to layer 1.
“Feedback connections from higher levels of the cortex rise to layer 1.”
Quote in the paperSubstantial claim - Interpretationreasoning
A coincidence that is represented by a single neuron in our cortical column can be represented by a cluster of laterally interconnected neurons.
“A coincidence that is represented by a single neuron in our cortical column can be represented by a cluster of laterally interconnected neurons.”
Quote in the paperSubstantial claim - Interpretationnone given
Layer 2/3 pyramidal neurons project Markov chain information to higher level cortical areas.
“We propose three different roles for the layer 2/3 pyramidal neurons in cortical circuits: (1) Calculation of feed-forward Markov chain (sequence) states, (2) Projection of Markov chain information to higher level cortical areas, and (3) Computation of sequence states that incorporate feedback information.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
The synapses of the layer 4 neurons represent co-occurrence patterns on its inputs.
“This means that layer 4 neurons are coincidence detectors and that the synapses of the layer 4 neurons represent co-occurrence patterns on its inputs.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
A third set of pyramidal neurons in layer 2/3 is proposed for computing sequences based on feedback.
“We propose a third set of pyramidal neurons in layer 2/3 for this purpose.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
The connections within this column that can be established a-priori act as a backbone for carrying out belief propagation computations.
“These connections act as a backbone for carrying out belief propagation computations.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationcitation
Neurons in layer 2/3 are capable of approximating a computation similar to a weighted sum of lateral connections multiplied by a bottom-up input.
“We found several data points suggesting that neurons in layer 2/3 are capable of approximating a similar computation.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [49] Y Yoshimura, 2000, Properties of horizontal and vertical inputs to pyramidal cells in the superficial layers of the cat visual cortex., Journal of Neuroscience source
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- cites [50] D Feldmeyer, 2002, Synaptic connections between layer 4 spiny neurone-layer 2/3 pyramidal cell pairs in juvenile rat barrel cortex: physiology and anatomy of interlaminar signalling within a cortical column., The Journal of Physiology source
Not checked in the free run.
- Interpretationcitation
The idealized cortical column in Figure 10(A) can correspond to what is known as the mini-columns or ontogenetic columns of the cortex.
“The idealized cortical column in Figure 10(A) can correspond to what is known as the mini-columns or ontogenetic columns of the cortex [40].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [40] P Rakic, 1988, Specification of cerebral cortical areas., Science source
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- Premisecitation
L4 spiny neurons in the barrel cortex of the mouse are characterized by mainly vertically-oriented, predominantly intra-columnar, axons that target layer 2/3 pyramidal cells.
“For example, L4 spiny neurons in the barrel cortex of the mouse are characterized by mainly vertically-oriented, predominantly intra-columnar, axons that target layer 2/3 pyramidal cells [46].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [46] J Lubke, 2007, Excitatory signal flow and connectivity in a cortical column: focus on barrel cortex., Brain Struct Funct source
Not checked in the free run.
- Interpretationreasoning
Layer 2/3 cells become most active only in the context of the correct sequence.
“They become most active only in the context of the correct sequence.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
The axons carrying feedback information will be available at layer 1 and accessed by the apical dendrites of neurons that require this information.
“The axons carrying feedback information will be available at layer 1 and accessed by the apical dendrites of neurons that require this information.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Premisecitation
Axons of the layer 2/3 pyramidal neurons travel several millimeters parallel to the layer 2/3 - layer 4 boundary and re-enter layer 2/3 to make excitatory connections to pyramidal cells there.
“In biology, it is found that axons of the layer 2/3 pyramidal neurons travel several millimeters parallel to the layer 2/3 – layer 4 boundary and re-enter layer 2/3 to make excitatory connections to pyramidal cells there [43],[48].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [43] PA Bannister, 2005, Inter- and intra-laminar connections of pyramidal cells in the neocortex., Neurosci Res source
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- cites [48] JS Lund, 2003, Anatomical substrates for functional columns in macaque monkey primary visual cortex., Cerebral cortex (New York, NY : 1991)
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- Premisecitation
When both vertical and horizontal inputs were driven simultaneously, the evoked EPSP was larger than the mathematical summation of the individual EPSPs.
“They also found that when both the vertical and horizontal inputs were driven simultaneously, the evoked EPSP was larger than the mathematical summation of the individual EPSPs.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [49] Y Yoshimura, 2000, Properties of horizontal and vertical inputs to pyramidal cells in the superficial layers of the cat visual cortex., Journal of Neuroscience source
Not checked in the free run.
- Premisecitation
Cells in layer 2/3 of the visual and barrel cortices strongly prefer richer stimuli, such as motion in the preferred direction, unlike cells in layer 4 that respond to more impoverished stimuli.
“Unlike cells in layer 4 that respond to more impoverished stimuli, cells in layer 2/3 of the visual and barrel cortices strongly prefer richer stimuli, such as motion in the preferred direction [47].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [47] JA Hirsch, 2006, Laminar processing in the visual cortical column., Curr Opin Neurobiol source
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- Interpretationnone given
Layer 2/3 pyramidal neurons compute sequence states that incorporate feedback information.
“We propose three different roles for the layer 2/3 pyramidal neurons in cortical circuits: (1) Calculation of feed-forward Markov chain (sequence) states, (2) Projection of Markov chain information to higher level cortical areas, and (3) Computation of sequence states that incorporate feedback information.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Premisecitation
In neuroscience, it is accepted that the feedback inputs to a cortical region generally avoid layer 4.
“In neuroscience, it is accepted that the feedback inputs to a cortical region generally avoid layer 4 [2].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [2] J Hegde, 2007, Reappraising the functional implications of the primate visual anatomical hierarchy., Neuroscientist source
Not checked in the free run.
- Premisecitation
The layer 2/3 neurons receive excitatory inputs from other layer 2/3 neurons via extensive lateral connections.
“In addition, the layer 2/3 neurons receive excitatory inputs from other layer 2/3 neurons via extensive lateral connections [43].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [43] PA Bannister, 2005, Inter- and intra-laminar connections of pyramidal cells in the neocortex., Neurosci Res source
Not checked in the free run.
- Interpretationnone given
Many of the connections within a vertical column of cells can be established without any learning.
“One prediction of our model is that many of the connections within a vertical column of cells can be established without any learning.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
There is no redundancy in this idealized cortical representation.
“This means that there is no redundancy in this idealized cortical representation.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Two classes of neurons in layer 2/3 can be differentiated by the connections they make in layer 1.
“A prediction arising from this mechanism is that two classes of neurons in layer 2/3 can be differentiated by the connections they make in layer 1.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Premisecitation
The excitatory neurons in layer 4 of the cortex consist primarily of star-shaped neurons called stellate neurons and pyramidal neurons.
“The excitatory neurons in layer 4 of the cortex consist primarily of star-shaped neurons called stellate neurons and pyramidal neurons [42].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [42] AM Thomson, 2003, Interlaminar connections in the neocortex., Cerebral cortex (New York, NY : 1991)
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- Premisecitation
Many layer 2/3 neurons project to higher levels of cortex and to layer 5.
“Many layer 2/3 neurons project to higher levels of cortex and to layer 5 [44].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [44] AM Thomson, 1998, Postsynaptic pyramidal target selection by descending layer iii pyramidal axons: dual intracellular recordings and biocytin filling in slices of rat neocortex., Neuroscience source
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- Premisecitation
By the 26th gestational week, the human neocortex is composed of a large number of mini-columns in parallel vertical arrays.
“By the 26th gestational week, the human neocortex is composed of a large number of mini-columns in parallel vertical arrays [41].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [41] VB Mountcastle, 2003, Introduction to the special issue on computation in cortical columns., Cerebral Cortex
Not checked in the free run.
- Interpretationreasoning
One class of layer 2/3 neuron will form layer 1 synapses with feedback axons from higher levels of cortex.
“One class of layer 2/3 neuron will form layer 1 synapses with feedback axons from higher levels of cortex.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
These yellow layer 2/3 neurons also integrate feedback information from layer 1 using their apical dendrites in layer 1.
“However, these yellow layer 2/3 neurons also integrate feedback information from layer 1 using their apical dendrites in layer 1 as shown in Figure 9.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Premisecitation
Under depolarized conditions, the EPSP evoked by activation of an individual input pathway (either horizontal or vertical, but not both) was smaller than that evoked without depolarization.
“They found that, under depolarized conditions, the EPSP evoked by the activation of an individual input pathway (either horizontal or vertical, but not both) was smaller than that evoked without the depolarization.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [49] Y Yoshimura, 2000, Properties of horizontal and vertical inputs to pyramidal cells in the superficial layers of the cat visual cortex., Journal of Neuroscience source
Not checked in the free run.
- Interpretationcitation
The computation that sequence state cells in layer 2/3 need to perform for inference involves a weighted sum of their lateral connections multiplied by a bottom-up input.
“The computation that the sequence state cells in layer 2/3 need to perform for inference involves a weighted sum of their lateral connections multiplied by a bottom-up input.”
Quote in the paperSubstantial claim - Interpretationnone given
The axons from these pyramidal cells cross column boundaries and connect to other pyramidal neurons that belong to the same sequence.
“The axons from these pyramidal cells cross column boundaries and connect to other pyramidal neurons that belong to the same sequence.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationcitation
The green and yellow neurons in Figure 9 receive inputs from layer 4 neurons that are in the same column.
“Note that the green and yellow neurons in Figure 9 receive inputs from layer 4 neurons that are in the same column.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
Most layer 2/3 cells represent different coincidence patterns in the context of different Markov chain sequences.
“This is consistent with our proposal that most layer 2/3 cells represent different coincidence patterns in the context of different Markov chain sequences.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Premisecitation
Layer 1 is comprised mostly of axons carrying feedback from higher levels of cortex, axons from non-specific thalamic cells, apical dendrites, and a minor concentration of cell bodies.
“Layer 1 is comprised mostly of axons carrying feedback from higher levels of cortex, axons from non-specific thalamic cells, apical dendrites, and a minor concentration of cell bodies [42].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [42] AM Thomson, 2003, Interlaminar connections in the neocortex., Cerebral cortex (New York, NY : 1991)
Not checked in the free run.
- Interpretationcitation
The layer 1 in our mapping will be the 'broadcast' layer for feedback and timing information.
“To remain consistent with this biological data, the layer 1 in our mapping will be the ‘broadcast’ layer for feedback and timing information.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- The authors state this as an assumption: A timing signal is available at layer 1.
- Premisecitation
Long distance horizontal connections to pyramidal cells in layer 2/3 exhibit different properties than those from vertical connections.
“Yoshimura et al [49] report that long distance horizontal connections to pyramidal cells in layer 2/3 exhibit different properties than those from vertical connections.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [49] Y Yoshimura, 2000, Properties of horizontal and vertical inputs to pyramidal cells in the superficial layers of the cat visual cortex., Journal of Neuroscience source
Not checked in the free run.
- Interpretationnone given
Layer 2/3 pyramidal neurons calculate feed-forward Markov chain (sequence) states.
“We propose three different roles for the layer 2/3 pyramidal neurons in cortical circuits: (1) Calculation of feed-forward Markov chain (sequence) states, (2) Projection of Markov chain information to higher level cortical areas, and (3) Computation of sequence states that incorporate feedback information.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
Making layer 4 correspond to the feed-forward computation of the probability over coincidence patterns imposes constraints on the computational roles for other layers.
“Making layer 4 correspond to the feed-forward computation of the probability over coincidence patterns imposes some constraints on the computational roles for other layers.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Interpretationreasoning
Layer 4 neurons are coincidence detectors.
“This means that layer 4 neurons are coincidence detectors and that the synapses of the layer 4 neurons represent co-occurrence patterns on its inputs.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
- Premisecitation
The major projection (output) of layer 4 stellate neurons is to layer 3 cells.
“The major projection (output) of layer 4 stellate neurons is to layer 3 cells [15].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [15] RJ Douglas, 2004, Neuronal circuits of the neocortex., Annual Review of Neuroscience source
Not checked in the free run.
- Premisenone given
The primary inter-laminar excitatory input to layer 2/3 is from the stellate cells of layer 4.
“The primary inter-laminar excitatory input to layer 2/3 is from the stellate cells of layer 4.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Layer 6 neurons receive inputs from the layer 5 neurons involved in the calculation of beliefs.
“This means that the layer 6 neurons will receive inputs from the layer 5 neurons involved in the calculation of beliefs.”
Quote in the paperSubstantial claim - Premisecitation
RS cells are mostly pre-synaptic to IB cells.
“It is also known that the RS cells are mostly pre-synaptic to the IB cells [43].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [43] PA Bannister, 2005, Inter- and intra-laminar connections of pyramidal cells in the neocortex., Neurosci Res source
Not checked in the free run.
- Interpretationcitation
These mappings are consistent with anatomical data.
“These mappings are consistent with anatomical data [42],[45].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [42] AM Thomson, 2003, Interlaminar connections in the neocortex., Cerebral cortex (New York, NY : 1991)
Not checked in the free run.
- cites [45] AM Thomson, 2007, Functional maps of neocortical local circuitry., Front Neurosci source
Not checked in the free run.
- Interpretationreasoning
The confinement of layer 3 to layer 5 projections to the same column is consistent with the proposal for belief calculation cells in layer 5.
“In the next section we will see that this is consistent with our proposal for the belief calculation cells in layer 5.”
Quote in the paperSubstantial claim - Interpretationreasoning
Encoding duration between elements in a sequence requires a signal that marks when a new element has started.
“And finally, encoding duration between elements in a sequence requires a signal that marks when a new element has started.”
Quote in the paperNot a substantial claim - Premisecitation
Layer 2/3 pyramidal cell axons have two distinct projection fields: one horizontal (long range axon collaterals) and one vertical.
“It is known that layer 2/3 pyramidal cell axons have two distinct projection fields: one horizontal (the long range axon collaterals), and one vertical [46].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [46] J Lubke, 2007, Excitatory signal flow and connectivity in a cortical column: focus on barrel cortex., Brain Struct Funct source
Not checked in the free run.
- Interpretationreasoning
The input connections to a layer 6 cell come from the columns corresponding to the coincidence patterns that have the child nodes Markov chain as a component.
“The input connections to a layer 6 cell come from the columns corresponding to the coincidence patterns that have the child nodes Markov chain as a component.”
Quote in the paperSubstantial claim - Interpretationnone given
A class of layer 5 pyramidal neurons in cortical circuits calculate the belief over coincidence patterns according to Equation 6.
“We propose that a class of layer 5 pyramidal neurons in cortical circuits calculate the belief over coincidence patterns according to Equation 6.”
Quote in the paperNot a substantial claim - Premisecitation
Layer 6 is a primary source of cortical feedback connections.
“Layer 6 is known to be a primary source of cortical feedback connections [15].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [15] RJ Douglas, 2004, Neuronal circuits of the neocortex., Annual Review of Neuroscience source
Not checked in the free run.
- Interpretationnone given
Belief responses generated at every level can be used for gating feed-forward evidence in accordance with a top-level hypothesis.
“We described how the belief responses generated at every level can be used for gating feed-forward evidence in accordance with a top-level hypothesis.”
Quote in the paperSubstantial claim - Premisecitation
The output of the RS cell goes to the IB cell.
“The output of the RS cell goes to the IB cell.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [43] PA Bannister, 2005, Inter- and intra-laminar connections of pyramidal cells in the neocortex., Neurosci Res source
Not checked in the free run.
- Interpretationnone given
Layer 6 pyramidal neurons compute the feedback messages that are to be sent to regions that are hierarchically below.
“We assign to layer 6 pyramidal neurons the role of computing the feedback messages that are to be sent to regions that are hierarchically below.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The input connections to these neurons represent the participation of the child node's Markov chain in the higher-level node's coincidence patterns.
“In either case, the input connections to these neurons represent the participation of the child node's Markov chain in the higher-level node's coincidence patterns.”
Quote in the paperSubstantial claim - Interpretationnone given
Some layer 6 neurons project to the left child while the rest project to the right child.
“In Figure 9, some of the layer 6 neurons project to the left child while the rest project to the right child.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The operation of layer 5 belief neurons corresponds to pooling evidence for a particular coincidence from the different sequences that this coincidence participates in.
“Logically, the operation of these layer 5 belief neurons corresponds to the pooling of evidence for a particular coincidence from the different sequences that this coincidence participates in.”
Quote in the paperSubstantial claim - Interpretationreasoning
The existence of RS cells can be justified if there is utility in representing a belief in a coincidence pattern that does not incorporate precise timing information.
“The existence of RS cells can be justified if there is utility in representing a belief in a coincidence pattern that does not incorporate precise timing information.”
Quote in the paperNot a substantial claim - Interpretationnone given
Variable durations can be encoded in the same sequence circuit by maintaining lateral inputs to the post-synaptic neurons for a temporal window.
“In the Model section, we outlined how variable durations can be encoded in the same sequence circuit by maintaining lateral inputs to the post-synaptic neurons for a temporal window.”
Quote in the paperSubstantial claim - Premisecitation
Projections from layer 3 to layer 5 are confined to the same column.
“The projections from layer 3 to layer 5 are confined to the same column [46].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [46] J Lubke, 2007, Excitatory signal flow and connectivity in a cortical column: focus on barrel cortex., Brain Struct Funct source
Not checked in the free run.
- Interpretationnone given
A given set of columns will send feedback messages to all its child regions.
“A given set of columns will send feedback messages to all its 'child regions'.”
Quote in the paperNot a substantial claim - Premisecitation
The axons of layer 6 neurons with short dendritic tufts extending primarily to layer 5 project cortico-cortically in a feedback direction.
“The axons of these neurons project cortico-cortically [42] in a feedback direction.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [42] AM Thomson, 2003, Interlaminar connections in the neocortex., Cerebral cortex (New York, NY : 1991)
Not checked in the free run.
- Premisecitation
LaBerge's research has identified the recurrent connection from layer-5 to the matrix thalamus to the apical dendrites of layer 2/3 and layer 5 neurons as the circuit responsible for sustaining activity for extended durations to support cue-target delay tasks.
“LaBerge's [55] research has identified the recurrent connection from layer-5 to the matrix thalamus to the apical dendrites of layer 2/3 and layer 5 neurons as the circuit responsible for sustaining activity for extended durations to support cue-target delay tasks.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [55] D LaBerge, 2005, Sustained attention and apical dendrite activity in recurrent circuits., Brain Research Reviews source
Not checked in the free run.
- Interpretationreasoning
Summing the outputs of all yellow neurons in the same column corresponds to pooling the evidence for a coincidence pattern from all the different Markov chains in which the coincidence participates.
“This corresponds to pooling the evidence for that coincidence pattern from all the different Markov chains (sequences) in which the coincidence participates.”
Quote in the paperSubstantial claim - Interpretationreasoning
To calculate the belief in a coincidence pattern, the outputs of all the yellow neurons in the same column have to be summed up.
“To calculate the belief in a coincidence pattern, the outputs of all the yellow neurons in the same column have to be summed up.”
Quote in the paperSubstantial claim - Interpretationown data
The axonal inputs to layer 6 neurons from layer 5 neurons cross several columns.
“Note that in Figure 9, the axonal inputs to layer 6 neurons from layer 5 neurons cross several columns.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The fact that layer 5 RS neurons and IB neurons project to sub-cortical areas that influence motor actions is consistent with the proposal that they compute the belief.
“Therefore, the fact that layer 5 RS neurons and IB neurons project to sub-cortical areas that influence motor actions is consistent with the proposal that they compute the belief.”
Quote in the paperSubstantial claim - Interpretationreasoning
Layer 5 is ideally suited for summing the outputs of all yellow neurons in the same column.
“Layer 5 is ideally suited for doing this.”
Quote in the paperSubstantial claim - Interpretationnone given
Feedback messages are derived from the results of the belief calculations from a set of columns.
“Feedback messages are derived from the results of the belief calculations from a set of columns.”
Quote in the paperSubstantial claim - Interpretationnone given
Different layer 6 neurons project to different child nodes.
“In Figure 9, different layer 6 neurons project to different child nodes.”
Quote in the paperNot a substantial claim - Interpretationreasoning
If a cortical area is to influence actions, it makes sense that the signals for that should be based on the belief of that cortical area, because the belief represents the best possible information about the coincidence patterns represented in that cortical area.
“If a cortical area is to influence actions, it makes sense that the signals for that should be based on the belief of that cortical area, because the belief represents the best possible information about the coincidence patterns represented in that cortical area.”
Quote in the paperNot a substantial claim - Premisecitation
The same layer 6 cells also send collateral axons to layer 4 where LGN afferents contact the cortex.
“The same layer 6 cells also send collateral axons to layer 4 where LGN afferents contact the cortex.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites [56] R Guillery, 1998, Paying attention to the thalamic reticular nucleus., Trends in Neurosciences source
Not checked in the free run.
- cites [57] SM Sherman, 2002, The role of the thalamus in the flow of information to the cortex., Philos Trans R Soc Lond B Biol Sci source
Not checked in the free run.
- cites [58] AM Sillito, 2006, Always returning: feedback and sensory processing in visual cortex and thalamus., Trends Neurosci source
Not checked in the free run.
- Interpretationreasoning
The need for a signal marking when a new element has started suggests the need for cells with a brief burst of activity.
“This suggests the need for cells with a brief burst of activity.”
Quote in the paperSubstantial claim - Interpretationnone given
The difference in temporal scales can be orders of magnitude depending on the depth of the hierarchy.
“The difference in temporal scales can be orders of magnitude depending on the depth of the hierarchy.”
Quote in the paperNot a substantial claim- Rests on an assumption: The model requires that sequences at higher levels of the hierarchy represent longer durations of time.
- Premisecitation
Most of the excitatory connections from layer 2/3 pyramidal cells to layer 5 go to the IB cells.
“Most of the excitatory connections from the layer 2/3 pyramidal cells (the yellow neurons in Figure 9) to layer 5 go to the IB cells [42].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [42] AM Thomson, 2003, Interlaminar connections in the neocortex., Cerebral cortex (New York, NY : 1991)
Not checked in the free run.
- Premisecitation
Trans-laminar projections of layer 2/3 neurons are to a class of cells known as layer 5-B.
“It is known that the trans-laminar projections of layer 2/3 neurons are to a class of cells known as layer 5-B [44].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [44] AM Thomson, 1998, Postsynaptic pyramidal target selection by descending layer iii pyramidal axons: dual intracellular recordings and biocytin filling in slices of rat neocortex., Neuroscience source
Not checked in the free run.
- Premisecitation
Neurons in area V1 responded to illusory contours even though their feed-forward receptive fields do not have any evidence supporting the presence of a line.
“Lee and Nguyen [64] found that neurons in area V1 responded to such illusory contours even though their feed-forward receptive fields do not have any evidence supporting the presence of a line.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [64] TS Lee, 2001, Dynamics of subjective contour formation in the early visual cortex., Proc Natl Acad Sci U S A source
Not checked in the free run.
- Interpretationreasoning
Using only local information completes contours that might not be in agreement with the higher-level perception.
“However, using only local information completes contours that might not be in agreement with the higher-level perception.”
Quote in the paperSubstantial claim - Premisecitation
Successful systems have been built based on belief propagation in loopy graphs.
“successful systems have been built based on belief propagation in loopy graphs [32],[33]”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [32] BJ Frey, 1998, A revolution: Belief propagation in graphs with cycles.
Not checked in the free run.
- cites [33] K Murphy, 2000, Loopy-belief propagation for approximate inference: An empirical study.
Not checked in the free run.
- Interpretationcitation
These findings suggest that top-down feedback is used in the generation of illusory contours.
“These findings suggest that top-down feedback is used in the generation of illusory contours.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [64] TS Lee, 2001, Dynamics of subjective contour formation in the early visual cortex., Proc Natl Acad Sci U S A source
Not checked in the free run.
- Interpretationcitation
The reduced subjective contour response to the corrupted Kanizsa figure is consistent with the results that Nguyen and Lee saw in monkeys.
“This is consistent with the results that Nguyen and Lee saw in monkeys.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [64] TS Lee, 2001, Dynamics of subjective contour formation in the early visual cortex., Proc Natl Acad Sci U S A source
Not checked in the free run.
- Interpretationnone given
With overlapped input fields, the resultant network, viewed as a Bayesian network, has cycles.
“With overlapped input fields, the resultant network, viewed as a Bayesian network, has cycles in it.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The basic model can remain intact even though variations in timing mechanisms, attention mechanisms, motor mechanisms, etc. are expressed in variations in cortical architecture.
“The basic model can remain intact even though variations in timing mechanisms, attention mechanisms, motor mechanisms, etc. are expressed in variations in cortical architecture.”
Quote in the paperSubstantial claim - Interpretationreasoning
Given the behavioral flexibility and resilience of the cortex, we should expect some flexibility in the mapping between a theoretical model and its anatomical instantiation.
“Given the behavioral flexibility and resilience of the cortex, we should expect some flexibility in the mapping between a theoretical model and its anatomical instantiation.”
Quote in the paperNot a substantial claim - Interpretationnone given
Any spatial arrangement of the columns of the circuit that preserves the connections between columns would still do the same information processing.
“Any spatial arrangement of the columns of the circuit that preserves the connections between columns would still do the same information processing.”
Quote in the paperNot a substantial claim - Premisecitation
Lee and Nguyen showed that the illusory contour response occurs first in the superficial layers and then in the deep layers.
“Lee and Nguyen also showed that the illusory contour response occurs first in the superficial layers and then in the deep layers.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [64] TS Lee, 2001, Dynamics of subjective contour formation in the early visual cortex., Proc Natl Acad Sci U S A source
Not checked in the free run.
- Interpretationreasoning
The delayed onset of the illusory contour response reported by Lee and Nguyen occurs because of delays caused by propagating messages up and down the hierarchy.
“It is proposed that the delayed onset of the illusory contour response reported by Lee and Nguyen [64] occurs because of the delays caused by propagating messages up and down in the hierarchy.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [64] TS Lee, 2001, Dynamics of subjective contour formation in the early visual cortex., Proc Natl Acad Sci U S A source
Not checked in the free run.
- Interpretationreasoning
The circuits derived in the paper provide no explanation for observed cortical maps.
“Hence, the circuits here provide no explanation for observed cortical maps [70],[71].”
Quote in the paperNot a substantial claim0 of 2 sources checked - Interpretationreasoning
The mapping to biology does not produce a unique circuit.
“Because of this, the mapping to biology does not produce a unique circuit.”
Quote in the paperSubstantial claim - Interpretationnone given
The hierarchy of the HTM model corresponds to the hierarchy of cortical regions.
“The hierarchy of the model corresponds to the hierarchy of cortical regions.”
Quote in the paperNot a substantial claim - Interpretationnone given
The nodes in the HTM model correspond to small regions of cortex.
“The nodes in the model correspond to small regions of cortex.”
Quote in the paperSubstantial claim
- Classified as probably not a substantial claim. 106
- May combine two claims. 55
- The quote only partly states this claim. 1
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Findingown dataHTMs have been used successfully in invariant pattern recognition on gray-scale images, in speaker identification in the auditory domain, and in learning a model for motion capture data in an unsupervised manner.
“In our research, HTMs have been used successfully in invariant pattern recognition on gray-scale images, in the identification of speakers in the auditory domain and in learning a model for motion capture data in an unsupervised manner.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Findingnone givenResearchers outside Numenta have had success training recognition systems using HTMs.
“We are also happy to note that researchers outside Numenta have had success training recognition systems using HTMs.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingnone givenThe model presented in the paper does not address most of the knowledge about properties and biophysics of dendrites, dendritic action potentials, and biochemical pathways related to synapses.
“The model presented here does not address most of this knowledge.”
Quote in the paperNot a substantial claimMay combine two claims.
FindingcitationHTM networks reported in previous work used Markov chains based temporal pooling only at level 1 of the hierarchy and gave 49% recognition accuracy on the test set.
“The HTM networks reported in our previous work [9] used Markov chains based temporal pooling only at level 1 of the hierarchy and gave 49% recognition accuracy on this test set.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [9] D George, 2005, A hierarchical Bayesian model of invariant pattern recognition in the visual cortex.
Not checked in the free run.
May combine two claims.
Findingown dataOn the standard Caltech-101 benchmark, initial experiments with the network achieved 50% recognition accuracy with 15 training images and 62% recognition accuracy with 30 training images.
“On the standard Caltech-101 benchmark [60], our initial experiments with the network achieved 50% recognition accuracy with 15 training images and 62% recognition accuracy with 30 training images.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [60] L Fei-Fei, 2006, One-shot learning of object categories., IEEE Transactions on Pattern Analysis and Machine Intelligence source
Not checked in the free run.
The quote only partly states this claim.
Findingown dataA network trained with 4 categories of images with large intra-category variation and over 10000 training images gave 92% accuracy on a hold out set.
“On a hold out set, this network gave 92% accuracy.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingnone givenThe circuits derived in the paper do not incorporate a detailed mechanism for attention control.
“the circuits derived in this paper do not incorporate a detailed mechanism for attention control.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone givenThe HTM model in the paper uses sparse-distributed representations when considering representations within an entire hierarchical level, but does not use sparse-distributed representations within a node.
“The HTM model in this paper uses sparse-distributed representations [68],[69] when considering the representations within an entire hierarchical level. However, it does not use sparse-distributed representations within a node.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [68] P Sallee, 2004, Learning sparse multiscale image representations.
Not checked in the free run.
- cites [69] H Wersing, 2003, Learning optimized features for hierarchical models of invariant object recognition., Neural computation source
Not checked in the free run.
May combine two claims.
Findingown dataThe corrupted Kanizsa figure was recognized as a rectangle at the top of the network with a lower level of certainty, and this lower certainty was reflected in lower activation of the subjective contour.
“In our experiment the corrupted figure was recognized as a rectangle at the top of the network, albeit with a lower level of certainty. This lower level of certainty is reflected in the lower activation level of the subjective contour.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S4 (based).
Findingnone givenThe circuits discussed in the paper have been mapped to the belief propagation equations in a learned HTM node.
“The circuits discussed in this paper have been mapped to the belief propagation equations in a learned HTM node.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim. May combine two claims.
Findingnone givenThe authors performed the mapping to biology in two stages: starting with a mathematical expression of how each node performs inference, they created an abstract neuronal implementation; next they mapped this abstract implementation onto observed anatomical data of cell types, cell layers, and micro-circuits in the cortex.
“We performed the mapping to biology in two stages. Starting with a mathematical expression of how each node performs inference, we created an abstract neuronal implementation. Next we mapped this abstract implementation onto observed anatomical data of cell types, cell layers, and micro-circuits in the cortex.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.
Findingnone givenThere are many unknowns and variations in cortical anatomy, and many functions of the neocortex are not accounted for by the HTM model.
“There are many unknowns and variations in cortical anatomy, and similarly there are many functions of the neocortex that are not accounted for by the HTM model.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningThe combination of the functional constraints from HTM belief propagation and the organizational constraints from anatomical data suggests a theoretically derived interpretation for many anatomical and physiological features and predicts several others.
“The combination of these two constraints suggests a theoretically derived interpretation for many anatomical and physiological features and predicts several others.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Interpretationnone givenThe cortical circuit shown in Figure 9 is organized as 5 columns corresponding to the 5 coincidence patterns in the reference HTM node.
“The cortical circuit shown in Figure 9 is organized as 5 columns corresponding to the 5 coincidence patterns in the reference HTM node that we started with.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing).
Interpretationnone givenBoth of the above cases correspond to gating the bottom-up evidence using top-down activation.
“Both of the above cases correspond to gating the bottom-up evidence using top-down activation.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenA cortical column can be thought of as encoding a particular value of the random variable that represents the coincidence patterns in the HTM node.
“A cortical column can be thought of as encoding a particular value of the random variable that represents the coincidence patterns in the HTM node.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenMaintaining this gating during further computations requires external control mechanisms that are not part of the standard belief propagation machinery.
“However, maintaining this gating during further computations requires external control mechanisms that are not part of the standard belief propagation machinery.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim. May combine two claims.
PremisecitationThe Memory-Prediction Framework could be formulated in Bayesian terms and given a proper mathematical foundation.
“George, recognized that the Memory-Prediction framework could be formulated in Bayesian terms and given a proper mathematical foundation [8],[9].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [8] D George, 2008, How the Brain Might Work: A Hierarchical and Temporal Model for Learning and Recognition.
Not checked in the free run.
- cites [9] D George, 2005, A hierarchical Bayesian model of invariant pattern recognition in the visual cortex.
Not checked in the free run.
Probably not a substantial claim: may not pass S4 (based).
Interpretationnone givenAn area of cortex can be thought of as encoding a set of patterns and sequences in relation to the patterns and sequences in regions hierarchically above and below it.
“An area of cortex can be thought of as encoding a set of patterns and sequences in relation to the patterns and sequences in regions hierarchically above and below it.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
May combine two claims.
InterpretationreasoningThe circle-neuron circuits shown in Figure 4 implement Equation 4, and the weights on the lateral time-delayed connections correspond to the transition matrix entries in each Markov chain.
“Therefore, the circle-neuron circuits shown in Figure 4 implement Equation 4 and the weights on the lateral time-delayed connections correspond to the transition matrix entries in each Markov chain.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The equation for the output of a circle neuron assumes a simple step-wise notion of time.
May combine two claims.
InterpretationreasoningObserved information anywhere in the cortex is propagated to other regions through these messages and can alter the probability values associated with the hypotheses maintained by other cortical columns.
“Observed information anywhere in the cortex is propagated to other regions through these messages and can alter the probability values associated with the hypotheses maintained by other cortical columns.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningThe operation of the pentagon neuron is different from that of the rectangle neuron in Figure 4.
“Note that the operation of the pentagon neuron is different from that of the rectangle neuron in Figure 4.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenThe gating signal at each node, corresponding to an activated top-level hypothesis, can be derived from the computed beliefs at that node.
“The gating signal at each node, corresponding to an activated top-level hypothesis, can be derived from the computed beliefs at that node.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenThe elements of the derived circuits are consistent with each other in that they operate under the same set of assumptions and work together in a hierarchy.
“The elements of the circuits are also consistent with each other in that they operate under the same set of assumptions and work together in a hierarchy.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenIt is straightforward to extend belief propagation in HTMs to include multiple parents for each node.
“It is straightforward to extend belief propagation in HTMs to include multiple parents for each node.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based). May combine two claims.
Interpretationnone givenThe patterns correspond to the coincidence patterns in an HTM node and the sequences correspond to the Markov chains.
“The patterns correspond to the coincidence patterns in an HTM node and the sequences correspond to the Markov chains.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S4 (based). May combine two claims.
Interpretationnone givenThe neurons in layer 2/3 represent the coincidence pattern in the context of different sequences, whereas the neurons in layer 6 represent the participation of the coincidence pattern in the calculation of feedback messages.
“For example, the neurons in layer 2/3 represent the coincidence pattern in the context of different sequences, whereas the neurons in layer 6 represent the participation of the coincidence pattern in the calculation of feedback messages.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S4 (based).
Premisenone givenAnatomical data provide a contrasting set of organizational constraints.
“Anatomical data provide a contrasting set of organizational constraints.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
PremisecitationHierarchical Bayesian inference is gaining acceptance as a framework for understanding cortical computation.
“The theoretical setting of hierarchical Bayesian inference is gaining acceptance as the framework for understanding cortical computation [1]–[5].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [1]–[5]
Not checked in the free run.
Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).
InterpretationcitationThe theory presented in this paper can be useful in the modeling of physiological phenomena.
“In addition to providing a template for understanding cortical circuits [15], the theory presented here can be useful in the modeling of physiological phenomena.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [15] RJ Douglas, 2004, Neuronal circuits of the neocortex., Annual Review of Neuroscience source
Not checked in the free run.
Classified as probably not a substantial claim.
InterpretationreasoningThe belief calculation in Equation 6 has almost the same form as the forward dynamic programming Equations 4.
“The belief calculation, described in Equation 6, has almost the same form as the forward dynamic programming Equations 4.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThis kind of columnar organization is typical in biology.
“This kind of columnar organization is typical in biology [38],[39].”
Quote in the paperNot a substantial claim0 of 2 sources checkedProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Premisenone givenInformation can also be propagated down in the hierarchy for attention, segmentation, and filling in missing inputs.
“Information can also be propagated down in the hierarchy for attention, segmentation, and filling in missing inputs.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningThe 5 columnar structures shown represent a set of 5 mutually exclusive hypotheses about the same input space.
“The 5 columnar structures shown represent a set of 5 mutually exclusive hypotheses about the same input space.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningThe external timing circuit achieves the effect of a specific duration model whose tempo can be changed.
“The external timing circuit achieves the effect of a specific duration model whose tempo can be changed.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: Durations are signaled to a node by an external timing unit that determines the rate of change of the signals using some system-level measurements.
Probably not a substantial claim: may not pass S2 (checkable).
Interpretationnone givenThe circuits derived in this paper can provide a hypothesis-driven framework for examining neural connectivity.
“The circuits derived in this chapter can provide a hypothesis-driven framework for examining the neural connectivity.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisenone givenHTM networks infer on time-varying inputs, and inference on a static input is a special case of this computation.
“In general, HTM networks infer on time-varying inputs. Inference on a static input is a special case of this computation.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenThe resultant biological circuit supports all the Bayesian computations required for temporal, feed-forward, and feedback inference.
“The resultant biological circuit supports all the Bayesian computations required for temporal, feed-forward, and feedback inference.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationLayer 4 is generally accepted as the primary feed-forward input layer to cortical regions.
“Layer 4 is generally accepted as the primary feed-forward input layer to cortical regions [2].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [2] J Hegde, 2007, Reappraising the functional implications of the primate visual anatomical hierarchy., Neuroscientist source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenLayer 3 cells can also act as coincidence detectors of inputs from thalamus that make proximal connections, and layer 3 cells can take the full burden of coincidence detection.
“Layer 3 cells can also act as coincidence detectors of inputs from thalamus that make proximal connections, and layer 3 cells can take the full burden of coincidence detection.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing).
Interpretationnone givenThe second proposal does not require a second set of neurons but instead relies on long lasting metabotropic responses of neurons.
“The second proposal does not require a second set of neurons but instead relies on long lasting metabotropic responses of neurons.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Premisenone givenStrong evidence suggesting which of these two, or other, mechanisms is used is lacking.
“Strong evidence suggesting which of these two, or other, mechanisms is used is lacking.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningThese neurons correspond to the 'circle neurons' described in the Model section and implement the dynamic programming Equation 4 in Table 1.
“These neurons correspond to the ‘circle neurons’ that we described in the Model section and implement the dynamic programming Equation 4 in Table 1.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S4 (based).
Interpretationnone givenYellow neurons need to have apical dendrites in layer 1 to receive feedback from higher cortical areas.
“The yellow neurons need to have apical dendrites in layer 1 to receive feedback from higher cortical areas.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenThe cells in layer 3 which represent the individual elements in Markov chains will become active in turn as sequences are learned and recalled.
“The cells in layer 3 which represent the individual elements in Markov chains will become active in turn as sequences are learned and recalled.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Classified as probably not a substantial claim.
InterpretationreasoningA second set of dynamic programming states were required for the calculation of the belief of coincidence patterns and as an intermediate step in deriving the feedback messages to be sent to the children.
“In the Model section, we saw that a second set of dynamic programming states were required for the calculation of the belief of coincidence patterns and as an intermediate step in deriving the feedback messages to be sent to the children.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
May combine two claims.
PremisecitationMini-columns are developmental units that contain about 80 to 100 neurons.
“Mini-columns are developmental units that contain about 80 to 100 neurons.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [40] P Rakic, 1988, Specification of cerebral cortical areas., Science source
Not checked in the free run.
May combine two claims.
InterpretationreasoningThe pyramidal neurons shown in green in Figure 9 implement the Markov chain sequences and the dynamic programming computations for feed-forward sequential inference.
“The pyramidal neurons shown in green in Figure 9 implement the Markov chain sequences and the dynamic programming computations for feed-forward sequential inference.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Classified as probably not a substantial claim.
Interpretationnone givenIn the idealized cortical column model, each different aspect that needs to be represented for a coincidence pattern is represented using a single neuron.
“In the idealized cortical column model, each different aspect that needs to be represented for a coincidence pattern is represented using a single neuron.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S4 (based). May combine two claims.
Interpretationnone givenThese pyramidal neurons receive 'vertical' excitatory inputs from the outputs of layer 4 stellate neurons and 'lateral' inputs from other pyramidal cells within layer 2/3.
“These pyramidal neurons receive ‘vertical’ excitatory inputs from the outputs of layer 4 stellate neurons and ‘lateral’ inputs from other pyramidal cells within layer 2/3.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningThese neurons correspond to the filled-circle neurons in Figure 5.
“These neurons correspond to the filled-circle neurons in Figure 5.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
May combine two claims.
InterpretationreasoningAny computation that requires major inputs from layer 4 will need to be done at layer 3 and should match the general characteristics of layer 3.
“This means that any computation that requires major inputs from layer 4 will need to be done at layer 3 and should match the general characteristics of layer 3.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenIf the layer 3 cells that represent the sequence elements project to metabotropic receptors in higher cortical regions, those destination neurons could stay active for the duration of sequences.
“If the layer 3 cells that represent the sequence elements project to metabotropic receptors in higher cortical regions, those destination neurons could stay active for the duration of sequences.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenThe lateral connections of these neurons are similar to the lateral connections of the layer 2/3 green pyramids.
“The lateral connections of these neurons are similar to the lateral connections of the layer 2/3 green pyramids that we just described.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenGreen feed-forward neurons should not make connections with the feedback signal.
“But the green feed-forward neurons should not make connections with the feedback signal.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenNothing about the computation or the representation changes if we replicate each neuron in this circuit a few times, while maintaining their connectivity.
“Nothing about the computation or the representation changes if we replicate each neuron in this circuit a few times, while maintaining their connectivity.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based). May combine two claims.
Interpretationnone givenA second set of pyramidal cells in layer 2/3 corresponds to the Markov chain identities and gets excitatory inputs from the layer 2/3 pyramidal cells that belong to the same Markov chain.
“These pyramidal cells correspond to the Markov chain identities and get excitatory inputs from the layer 2/3 pyramidal cells that belong to the same Markov chain.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningThese neurons are represented using yellow colored pyramidal neurons in layer 2/3.
“In Figure 9, these neurons are represented using yellow colored pyramidal neurons in layer 2/3.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
May combine two claims.
InterpretationreasoningThese neurons do the sequence computations while integrating feedback information from the higher layers.
“These neurons do the sequence computations while integrating feedback information from the higher layers.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Classified as probably not a substantial claim.
InterpretationreasoningThe major bottom-up input required for the above calculations is the feed-forward probability over coincidence patterns that was assigned to layer 4 neurons.
“The major bottom-up input required for the above calculations is the feed-forward probability over coincidence patterns that was assigned to layer 4 neurons in a previous section.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S4 (based).
Interpretationnone givenThe layer 4 stellate cells implement the probability calculation described in Equation 2 and shown in Figure 3.
“We propose that the layer 4 stellate cells implement the probability calculation described in Equation 2 and shown in Figure 3.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
May combine two claims.
Interpretationnone givenThe other class of layer 2/3 neuron will not form synapses with feedback axons, but will form synapses with axons from non-specific thalamic cells needed for timing.
“The other class of layer 2/3 neuron will not form synapses with feedback axons, but will form synapses with axons from non-specific thalamic cells needed for timing (discussed more in a later section).”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S4 (based). May combine two claims.
InterpretationreasoningGreen and yellow layer 2/3 neurons are needed to learn two sets of sequences: one set for feed-forward calculations and one set for feedback calculations.
“We show green and yellow layer 2/3 neurons in Figure 9 because we need to learn two sets of sequences. One set of sequences is used in feed-forward calculations and the other set of sequences is used in feedback calculations.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenThis second set of pyramidal neurons in layer 2/3 corresponds to the rectangle neurons in Figure 4.
“This second set of pyramidal neurons in layer 2/3 corresponds to the rectangle neurons in Figure 4.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenThe horizontal connections between layer 4 cells can implement spatial pooling or temporal pooling without timing.
“The horizontal connections between layer 4 cells can implement spatial pooling or temporal pooling without timing.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S4 (based).
Interpretationnone givenA mechanism must exist in each region of cortex for forming constant representations for sequences of activity.
“It is a strong theoretical prediction that a mechanism must exist in each region of cortex for forming constant representations for sequences of activity.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S4 (based).
Interpretationnone givenThese neurons send their outputs to higher-level cortical regions.
“These neurons send their outputs to higher-level cortical regions.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
May combine two claims.
InterpretationreasoningThis is consistent with the implementation of sequence memories and dynamic programming computations.
“This is akin to the blue and magenta axons that we show in Figure 9 and is consistent with the implementation of sequence memories and dynamic programming computations.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenGreen neurons may also have apical dendrites in layer 1 to receive timing information.
“The green neurons may also have apical dendrites in layer 1 to receive timing information.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningThese connections correspond to learned sequence memories and will be very precise about which columns and which specific neurons within these columns they target.
“Since these connections correspond to learned sequence memories, they will be very precise about which columns and which specific neurons within these columns they target.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The cortical circuits implement the HTM belief propagation equations described in Table 1.
Probably not a substantial claim: may not pass S4 (based). May combine two claims.
Premisenone givenCells in layer 2/3 are known to be 'complex' cells that respond to sequence of motion or cells that respond invariantly to different translations of the same feature.
“Cells in layer 2/3 are known to be ‘complex’ cells that respond to sequence of motion or cells that respond invariantly to different translations of the same feature.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenIn the proposed circuit, layer 5 pyramidal cells remember the precise time at which a belief is going to be active as measured as a duration from the previous element in the sequence.
“In the proposed circuit, layer 5 pyramidal cells remember the precise time at which a belief is going to be active as measured as a duration from the previous element in the sequence.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningThe layer 2/3 input, plus the apical dendrite extending to layer 1, and the bursting behavior, suggest the IB cells are ideally situated for both the pooling of evidence and encoding the beginning (and hence timing) of a sequence element.
“This layer 2/3 input, plus the apical dendrite extending to layer 1, and the bursting behavior, suggest the IB cells are ideally situated for both the pooling of evidence and encoding the beginning (and hence timing) of a sequence element.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationLaBerge's research provides a summary of arguments for the hypothesis that a recurrent cortico-thalamo-cortical circuit as proposed here can provide stable levels of modulatory activity at the soma of cortical pyramidal neurons that can persist over extended periods of time.
“LaBerge's research [55] provides a summary of arguments for the hypothesis that a recurrent cortico-thalamo-cortical circuit as proposed here can provide stable levels of modulatory activity at the soma of cortical pyramidal neurons that can persist over extended periods of time.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [55] D LaBerge, 2005, Sustained attention and apical dendrite activity in recurrent circuits., Brain Research Reviews source
Not checked in the free run.
Classified as probably not a substantial claim.
PremisereasoningNon-specific thalamic cells were recommended for the timing role because they have the required connectivity, receiving input from layer 5 cells and projecting broadly back to layer 1.
“Non-specific thalamic cells were recommended for this role because they have the required connectivity, receiving input from layer 5 cells and projecting broadly back to layer 1.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenThe feedback message sent to one child is not the same as the feedback message sent to the other child.
“The feedback message sent to one child is not the same as the feedback message sent to the other child.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningRS cells in layer 5 can be thought of as belief cells that anticipate the occurrence of the belief, whereas IB cells represent the same belief at a precise time point.
“The RS cells in layer 5 can be thought of as belief cells that 'anticipate' the occurrence of the belief, whereas the IB cells represent the same belief at a precise time point.”
Quote in the paperSubstantial claim- Rests on an assumption: There is a need for a neuron representing a belief in a coincidence pattern that does not incorporate precise timing information.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningAn alternative implementation is for these neurons to be located in layer 2 of the respective child nodes.
“An alternative implementation is for these neurons to be located in layer 2 of the respective child nodes.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationcitationSome layer 6 cortical circuits already identified by other neuroscientists as possible candidates for the gating of feedforward activation (control of attention) are compatible with our model.
“However, it is worth mentioning that some of the layer 6 cortical circuits already identified by other neuroscientists as possible candidates for the gating of feedforward activation (control of attention) [56]–[59] are compatible with our model.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites [56] R Guillery, 1998, Paying attention to the thalamic reticular nucleus., Trends in Neurosciences source
Not checked in the free run.
- cites [57] SM Sherman, 2002, The role of the thalamus in the flow of information to the cortex., Philos Trans R Soc Lond B Biol Sci source
Not checked in the free run.
- cites [58] AM Sillito, 2006, Always returning: feedback and sensory processing in visual cortex and thalamus., Trends Neurosci source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationThese feedback connections target the distal dendrites of relay cells and also contact inhibitory interneurons.
“These feedback connections target the distal dendrites of relay cells and also contact inhibitory interneurons.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites [56] R Guillery, 1998, Paying attention to the thalamic reticular nucleus., Trends in Neurosciences source
Not checked in the free run.
- cites [57] SM Sherman, 2002, The role of the thalamus in the flow of information to the cortex., Philos Trans R Soc Lond B Biol Sci source
Not checked in the free run.
- cites [58] AM Sillito, 2006, Always returning: feedback and sensory processing in visual cortex and thalamus., Trends Neurosci source
Not checked in the free run.
Probably not a substantial claim: may not pass S1 (asserted), S4 (based).
InterpretationreasoningFor the conjecture that non-specific thalamic cells generate a variable timing signal to be true, we would expect to see something like a cascade of non-specific cells become active in sequence in response to a burst on a layer 5 IB cell, lasting for several hundred milliseconds.
“For this conjecture to be true we would expect to see something like a cascade of non-specific cells become active in sequence in response to a burst on a layer 5 IB cell. The cascade would last for several hundred milliseconds.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.
InterpretationreasoningThese signals need to be passed through control mechanisms that will maintain the gating while further bottom-up and top-down propagation for the attended to stimuli alter the belief neuron responses.
“These signals need to be passed through control mechanisms that will maintain the gating while further bottom-up and top-down propagation for the attended to stimuli alter the belief neuron responses.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningThese layer 6 neurons are appropriately situated for calculating the feedback messages and their connectivity is consistent with the proposals for other layers.
“Hence they are appropriately situated for calculating the feedback messages and their connectivity is consistent with our proposals for other layers.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
InterpretationreasoningThe dark cyan timing neurons have their apical dendrites in layer 1 to access the timing signal.
“The dark cyan timing neurons have their apical dendrites in layer 1 to access this timing signal.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The timing signal is broadly available in layer 1.
Probably not a substantial claim: may not pass S3 (load-bearing).
Interpretationnone givenThese layer 5 belief neurons receive inputs from the yellow neurons in layer 2/3.
“These neurons receive inputs from the yellow neurons in layer 2/3.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
InterpretationreasoningThe connections that a set of layer 6 neurons makes to layer 4 and the thalamus are ideally suited for the attention control mechanism outlined for the HTM belief propagation.
“The connections that a set of layer 6 neurons makes to layer 4 and the thalamus are ideally suited for the attention control mechanism that we outlined for the HTM belief propagation.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisecitationRS cells are known to project to sub-cortical areas like the striatum and the superior colliculus where the anticipation signal could be used to anticipate actions.
“The RS cells are known to project to sub-cortical areas like the striatum and the superior colliculus [42] where the anticipation signal could be used to anticipate actions.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [42] AM Thomson, 2003, Interlaminar connections in the neocortex., Cerebral cortex (New York, NY : 1991)
Not checked in the free run.
Probably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenThe layer 2/3 circuit described can be thought of as a minimal set of circuits needed for temporal inference on multiple scales.
“The layer 2/3 circuit that we described can be thought of as a minimal set of circuits that are needed for temporal inference on multiple scales.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
InterpretationcitationThe timing loop requires the projection of the IB neurons to an external timing circuit.
“The timing loop requires the projection of the IB neurons to an external timing circuit.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationnone givenHumans have the ability to speed up and slow down memorized sequences during recall, which suggests a partially centralized mechanism that can influence the rate of recall over multiple elements in a sequence.
“Humans also have the ability to speed up and slow down memorized sequences during recall, which suggests a partially centralized mechanism that can influence the rate of recall over multiple elements in a sequence.”
Quote in the paperNot a substantial claim- Rests on an assumption: Humans have the ability to speed up and slow down memorized sequences during recall.
May combine two claims.
Interpretationnone givenThe result of this paper, the mapping of a hierarchical belief propagation model onto cortical anatomy, does not depend on how duration is encoded, but it does require it is encoded by some means that can handle time scales varying in orders of magnitude.
“Again the result of this paper, the mapping of a hierarchical belief propagation model onto cortical anatomy, does not depend on how duration is encoded, but it does require it is encoded by some means that can handle time scales varying in orders of magnitude.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S1 (asserted).
PremisecitationThe observed nonlinear summation is attributable to intrinsic membrane properties of the pyramidal cells or synaptic properties of the inputs, rather than properties of the global neuronal circuitry.
“They concluded that this indicated multiplicative supralinear summation of EPSPs caused by simultaneous activation of long range horizontal and vertical inputs under depolarized conditions, and suggested that the observed nonlinear summation is attributable to the intrinsic membrane properties of the pyramidal cells or the synaptic properties of the inputs, rather than the properties of the global”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [49] Y Yoshimura, 2000, Properties of horizontal and vertical inputs to pyramidal cells in the superficial layers of the cat visual cortex., Journal of Neuroscience source
Not checked in the free run.
Classified as probably not a substantial claim.
InterpretationreasoningA layer 6 neuron that receives input from layer 5 belief cells is ideally situated for the attention control purpose.
“A layer 6 neuron that receives input from layer 5 belief cells is ideally situated for this purpose.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenThese connections will need to be learned through the simultaneous activation of the bottom-up outputs from children with top-down outputs from the parent.
“These connections will need to be learned through the simultaneous activation of the bottom-up outputs from children with top-down outputs from the parent.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based).
InterpretationreasoningThe layer 1 synapses of layer 5 IB cells appear to be in a more efficient and logical location for storing duration in that these synapses are directly connected to the beliefs being calculated in layer 5.
“However, the layer 1 synapses of layer 5 IB cells appear to be in a more efficient and logical location for storing duration in that these synapses are directly connected to the beliefs being calculated in layer 5.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S1 (asserted).
PremisecitationProjections of layer 4 spiny neurons to layer 2/3 pyramidal neurons act as a gate for the lateral spread of excitation in layer 2/3.
“Another study [50] suggested that the projections of layer 4 spiny neurons to layer 2/3 pyramidal neurons act as a gate for the lateral spread of excitation in layer 2/3.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [50] D Feldmeyer, 2002, Synaptic connections between layer 4 spiny neurone-layer 2/3 pyramidal cell pairs in juvenile rat barrel cortex: physiology and anatomy of interlaminar signalling within a cortical column., The Journal of Physiology source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe connections through the matrix thalamus have also been proposed as a mechanism for thalamo-cortical synchrony.
“The connections through the matrix thalamus have also been proposed as a mechanism for thalamo-cortical synchrony [54].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [54] E Jones, 2001, The thalamic matrix and thalamocortical synchrony., Trends in Neurosciences source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationCells in layer 6 of V1 provide extensive feedback connections to the LGN of the thalamus.
“According to these studies, cells in layer 6 of V1 provide extensive feedback connections to the LGN of the thalamus.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites [56] R Guillery, 1998, Paying attention to the thalamic reticular nucleus., Trends in Neurosciences source
Not checked in the free run.
- cites [57] SM Sherman, 2002, The role of the thalamus in the flow of information to the cortex., Philos Trans R Soc Lond B Biol Sci source
Not checked in the free run.
- cites [58] AM Sillito, 2006, Always returning: feedback and sensory processing in visual cortex and thalamus., Trends Neurosci source
Not checked in the free run.
May combine two claims.
InterpretationreasoningBoth green and yellow neurons in Figure 9 take part in the sequence memory circuits, with yellow neurons receiving feedback information as well.
“Both the green neurons and the yellow neurons in Figure 9 take part in these circuits, with the yellow neurons receiving feedback information as well.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisecitationHorizontal, trans-columnar connections target other layer 2/3 pyramidal cells and correspond to the sequence memory circuits described above.
“The horizontal, trans-columnar connections target other layer 2/3 pyramidal cells [52],[53] and correspond to the sequence memory circuits that were described above.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [52] D Feldmeyer, 2006, Efficacy and connectivity of intracolumnar pairs of layer 2/3 pyramidal cells in the barrel cortex of juvenile rats., J Physiol source
Not checked in the free run.
- cites [53] C Holmgren, 2003, Pyramidal cell communication within local networks in layer 2/3 of rat neocortex., J Physiol source
Not checked in the free run.
Classified as probably not a substantial claim.
Interpretationnone givenIf intrinsic properties of neurons are not adequate to represent the longer time scales required by the model, it can be achieved via additional network mechanisms.
“If intrinsic properties of neurons are not adequate to represent the longer time scales required by our model, it can be achieved via additional network mechanisms.”
Quote in the paperSubstantial claim- Rests on an assumption: The model requires that sequences at higher levels of the hierarchy represent longer durations of time.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningIn the alternative implementation, the higher-level node can send the same feedback signal to all the child nodes.
“This implementation has the advantage that the higher-level node can send the same feedback signal to all the child nodes.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim. May combine two claims.
Interpretationnone givenIn the mapping in Figure 9, RS cells are the light-cyan colored neurons in layer 5 and IB cells are the dark-cyan colored neurons in layer 5 with their apical dendrites in layer 1.
“In our mapping in Figure 9, the RS cells are the light-cyan colored neurons in layer 5. The IB cells are the dark-cyan colored neurons in layer 5 with their apical dendrites in layer 1.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningThe duration a human can store, up to about a second, is too long for typical process delay times in neurons, suggesting the existence of a separate duration encoding mechanism.
“This is too long for typical process delay times in neurons, suggesting the existence of a separate duration encoding mechanism.”
Quote in the paperSubstantial claim- Rests on an assumption: A human can store specific durations, such as duration of notes in music, that last up to about a second.
Probably not a substantial claim: may not pass S1 (asserted), S3 (load-bearing).
PremisecitationHawkins has proposed the projections of IB cells to the non-specific thalamus as the mechanism for generating a variable timing signal.
“Hawkins [7] has proposed the projections of IB cells to the non-specific thalamus as the mechanism for generating a variable timing signal.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [7] J Hawkins, 2004, On Intelligence
Not checked in the free run.
Classified as probably not a substantial claim.
PremisecitationThe activation of the global hypothesis, at areas V2 and above, in turn constrains the activity of lower level neurons through the feedback messages.
“The activation of this global hypothesis, at areas V2 and above, in turn constrains the activity of lower level neurons through the feedback messages.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [1] TS Lee, 2003, Hierarchical Bayesian inference in the visual cortex., Journal of the Optical Society of America
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningThe attention control mechanism can be thought of as analogous to the operator proposed by Pearl to model the effect of actions in causal Bayesian networks.
“the attention control mechanism can also be thought of as analogous to the operator proposed by Pearl [74] to model the effect of actions in causal Bayesian networks.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [74] J Pearl, 2000, Causality : Models, Reasoning, and Inference
Not checked in the free run.
Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).
InterpretationreasoningIn domains where a node is exposed to data with rich characteristics, the model would require modifications to include sparse-distributed representations within an HTM node.
“In domains where a node is exposed to data that has rich characteristics, the model would require modifications to include sparse-distributed representations within an HTM node.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenIn belief propagation, the messages required for attention control are different from standard feedback messages; attention control messages instantiate variables at intermediate levels and affect feed-forward propagation, whereas standard feedback messages do not interact with feed-forward messages.
“In belief propagation, the messages required for attention control are different from those of standard feedback messages. The attention control messages instantiate variables at intermediate levels and therefore affect the results of feed-forward propagation, whereas the standard feedback messages in belief propagation do not interact with feed-forward messages.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningThe mapping of the model to cortical anatomy is sufficiently constrained to suggest its validity and provide testable predictions, but not so constrained to forbid useful variations in its biological implementation.
“However, we suggest that the mapping of our model to cortical anatomy is sufficiently constrained to suggest its validity and provide testable predictions, but not so constrained to forbid useful variations in its biological implementation.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisecitationExcitatory cells connect long distance in both vertical and lateral dimensions and their activity is molded by local inhibitory neurons.
“It is the excitatory cells that connect long distance in both vertical and lateral dimensions and their activity is then molded by local inhibitory neurons [15].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [15] RJ Douglas, 2004, Neuronal circuits of the neocortex., Annual Review of Neuroscience source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationGuillery and Sherman found that layer 5 pyramidal cells that project to the pulvinar of the thalamus also project to motor structures.
“Guillery and Sherman [75] found that the layer 5 pyramidal cells that project to the pulvinar of the thalamus also project to motor structures.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [75] RW Guillery, 2002, The thalamus as a monitor of motor outputs., Philos Trans R Soc Lond B Biol Sci source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationHypothesis-driven attention is an important aspect of perception and plays an important role in belief propagation.
“Hypothesis-driven attention is an important aspect of perception and plays an important role in belief propagation as well [29].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [29] J Pearl, 1988, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference
Not checked in the free run.
Probably not a substantial claim: may not pass S1 (asserted).
PremisecitationThe presented stimulus, according to the statistics of the visual world, is adequate to create a high-level hypothesis of the rectangle even though the edges are missing.
“Their argument was that the presented stimulus, according to the statistics of the visual world, is adequate to create a high-level hypothesis of the rectangle even though the edges are missing.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [1] TS Lee, 2003, Hierarchical Bayesian inference in the visual cortex., Journal of the Optical Society of America
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenInhibitory cells are needed to implement learning.
“Inhibitory cells are needed to implement learning.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningVariations and omissions in cortical architecture are not necessarily at odds with the model presented in the paper.
“These variations and omissions are not necessarily at odds with the model presented in this paper.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
InterpretationreasoningLearning these connections requires mechanisms that support competition, inhibition and online learning.
“Learning these connections requires mechanisms that support competition, inhibition and online learning.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenThe six-layered cortical architecture described is most typical of sensory regions of cortex.
“The six-layered cortical architecture we have described so far is most typical of sensory regions of cortex.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisecitationThe responses to illusory contours in area V2 occurred earlier, at 70 milliseconds in the superficial layers and at 95 milliseconds in the deep layers.
“The responses to illusory contours in area V2 occurred earlier, at 70 milliseconds in the superficial layers and at 95 milliseconds in the deep layers.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [64] TS Lee, 2001, Dynamics of subjective contour formation in the early visual cortex., Proc Natl Acad Sci U S A source
Not checked in the free run.
Classified as probably not a substantial claim. May combine two claims.
PremisecitationThe population averaged response to illusory contours emerged 100 milliseconds after stimulus onset in the superficial layers of V1 and at approximately 120 to 190 millisecond in the deep layers.
“The summary of their findings is that the population averaged response to illusory contours emerged 100 milliseconds after stimulus onset in the superficial layers of V1 and at approximately 120 to 190 millisecond in the deep layers.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [64] TS Lee, 2001, Dynamics of subjective contour formation in the early visual cortex., Proc Natl Acad Sci U S A source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationLee and Mumford suggested that the subjective contour effect could be the result of Bayesian computations.
“In [1], Lee and Mumford suggested this could be the result of Bayesian computations.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [1] TS Lee, 2003, Hierarchical Bayesian inference in the visual cortex., Journal of the Optical Society of America
Not checked in the free run.
May combine two claims.
Interpretationown dataThese experiments show how top-down propagation in the current model can be used for segmentation, for the assignment of border-ownership, and for the binding of features corresponding to a top-level hypothesis.
“These experiments show how top-down propagation in the current model can be used for segmentation, for the assignment of border-ownership, and for the 'binding' of features corresponding to a top-level hypothesis [62].”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [62] A Bartels, 2009, Visual Perception: Converging Mechanisms of Attention, Binding, and Segmentation?, Current Biology source
Not checked in the free run.
Classified as probably not a substantial claim.
Interpretationown dataThe cortical circuit described in the paper can be used for studying and modeling physiological phenomena.
“The cortical circuit described in this paper can be used for studying and modeling physiological phenomena.”
Quote in the paperSubstantial claimMay combine two claims.
PremisecitationMost inter-laminar and long-distance connections within a cortical area are provided by spiny excitatory neurons, whereas smooth inhibitory interneurons more prevalently connect locally within their layer of origin.
“most of the inter-laminar and long distance connections within a cortical area are provided by the spiny excitatory neurons, whereas the smooth inhibitory interneurons more prevalently connect locally within their layer of origin.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [15] RJ Douglas, 2004, Neuronal circuits of the neocortex., Annual Review of Neuroscience source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenNot all functions of the belief propagation equations have to be implemented exclusively in one layer.
“Not all functions of the belief propagation equations have to be implemented exclusively in one layer.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningSome forms of attention can be considered as an internal motor action because the attention control mechanism activates parts of the network and blocks other parts.
“Some forms of attention can also be considered as an internal motor action because the attention control mechanism activates parts of the network and blocks the other parts.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenInhibitory mechanisms are required for competition during learning.
“Inhibitory mechanisms are required for competition during learning.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Interpretationnone givenThe HTM nodes described in the paper are shown as discrete entities with abrupt boundaries, which does not correspond to biology where overlapping receptive fields and imprecise boundaries are commonly found.
“The HTM nodes described in this paper are shown as discrete entities with abrupt boundaries, which does not correspond to biology where overlapping receptive fields and imprecise boundaries are commonly found.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenA layer 4 neuron that projects to layer 3 can do the same computation even if moved to layer 3 and receives direct bottom-up input from the thalamus.
“a layer 4 neuron that projects to layer 3 can do the same computation even if that neuron is moved to layer 3 and if it receives direct bottom-up input from the thalamus.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningThe finding that illusory contour response occurs first in superficial then deep layers is consistent with the cortical circuit model because feedback information first reaches the Markov chain neurons in layer 2/3 and then is integrated into the layer 5 neurons.
“This is also consistent with the cortical circuit model in Figure 9 because the feedback information first reaches the Markov chain neurons in layer 2/3 (the yellow neurons in Figure 9) and then is integrated into the layer 5 neurons.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningIf the model required a precise and unwavering mapping onto many unique cell types and their connections, it is unlikely such a system could evolve.
“If our model required a precise and unwavering mapping onto many unique cell types and their connections it is unlikely such a system could evolve.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationLee and Mumford suggested that the formation of illusory contours is primarily a top-down mechanism, in combination with lateral mechanisms.
“Lee and Mumford [1] suggested that the formation of illusory contours is primarily a top-down mechanism, as also suggested in our experiments, in combination with lateral mechanisms proposed in [66].”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [1] TS Lee, 2003, Hierarchical Bayesian inference in the visual cortex., Journal of the Optical Society of America
Not checked in the free run.
- cites [66] L Williams, 1997, Stochastic completion fields: A neural model of illusory contour shape and salience., Neural Computation source
Not checked in the free run.
May combine two claims.
Interpretationnone givenHTM theory provides a mechanism for training a visual cortical hierarchy and the HTM circuit model gives a detailed anatomical circuit that can be used to test the hypothesis that top-down feedback generates illusory contours.
“The HTM theory provides a mechanism for training a visual cortical hierarchy and the HTM circuit model gives a detailed anatomical circuit that can be used to test this hypothesis.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe thalamus plays an important role in cortico-cortical communication, acting as a dynamic control of information passed from one cortical area to another.
“It is known that thalamus plays an important role in cortico-cortical communication, acting as a dynamic control of information passed from one cortical area to another [57],[73].”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [57] SM Sherman, 2002, The role of the thalamus in the flow of information to the cortex., Philos Trans R Soc Lond B Biol Sci source
Not checked in the free run.
- cites [73] BA Olshausen, 1993, A neurobiological model of visual attention and pattern recognition based on dynamic routing of information., Journal of Neuroscience source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Interpretationown dataPreliminary investigations indicate that relaxing the synchronous child-node assumption may require additional communication between hierarchical levels, which may explain the role of some layer 6 cells.
“Our preliminary investigations indicate that relaxing this assumption may require additional communication between hierarchical levels which may explain the role of some of the layer 6 cells.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: Child-node states change synchronously.
May combine two claims.
InterpretationreasoningA similar degree of freedom exists between different levels of the hierarchy; for example, a neuron in layer 6 that sends feedback information to layer 2 of a child region can be moved to layer 2 of the child region.
“A similar degree of freedom exists between different levels of the hierarchy. For example, a neuron in layer 6 that sends feedback information to layer 2 of a child region can actually be moved to layer 2 of the child region.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Interpretationnone givenThese variations do not violate the computational principles described in the paper.
“These variations do not violate the computational principles we described”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningThe work done, including that in the paper, suggests HTM is a good starting point for a biologically grounded neocortical model.
“The work we have done, including that in this paper, suggests HTM is a good starting point for such a biologically grounded neocortical model.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).
InterpretationreasoningThe circuit derived in the paper provides a template to explore such variations.
“The circuit derived in this paper provides a template to explore such variations.”
Quote in the paperNot a substantial claim
The authors state this as an assumption.
The equation for the output of a circle neuron assumes a simple step-wise notion of time.
“(Again, the above equation assumes a simple step-wise notion of time which is insufficient for encoding duration and for non-discrete time problems.”
The authors state this as an assumption.
The cortical circuits implement the HTM belief propagation equations described in Table 1.
“Our working hypothesis can be stated simply: The cortical circuits implement the HTM belief propagation equations described in Table 1.”
“Under the assumption that the cortical circuits are implementing these equations, what remains to be explained is how the abstract neuronal implementation of the previous section is physically organized in the layers and columns of actual cortical anatomy.”
The authors state this as an assumption.
A timing signal is available at layer 1.
“In addition, the availability of a timing signal at layer 1 is assumed.”
The authors state this as an assumption.
Durations are signaled to a node by an external timing unit that determines the rate of change of the signals using some system-level measurements.
“Instead, we assume that durations are signaled to a node by an external timing unit that determines the rate of change of the signals using some system-level measurements.”
The authors state this as an assumption.
In real brains the basic computational column will consist of many redundant cells bound together using common input and short-range intra-laminar connections.
“Therefore, we assume that in real brains the basic computational column will consist of many redundant cells bound together using common input and short-range intra-laminar connections resulting in a column as shown in Figure 10(B) [41].”
The authors state this as an assumption.
The green neurons and the yellow neurons in Figure 9 encode states within sequences.
“The green neurons and the yellow neurons in Figure 9 correspond to this description and are assumed to encode states within sequences.”
The paper relies on this without support.
The number of non-exclusive patterns that needs to be maintained decreases as you ascend in the hierarchy.
“Typically, the number of non-exclusive patterns that needs to be maintained decreases as you ascend in the hierarchy.”
The paper relies on this without support.
The model requires that sequences at higher levels of the hierarchy represent longer durations of time.
“Our model requires that sequences at higher levels of the hierarchy represent longer durations of time.”
The authors state this as an assumption.
Cortical circuits store duration of individual elements within sequences and the mechanism used to store duration must be present in many if not all cortical areas.
“Our model makes the assumption that cortical circuits store duration of individual elements within sequences and that the mechanism used to store duration must be present in many if not all cortical areas.”
The paper relies on this without support.
A human can store specific durations, such as duration of notes in music, that last up to about a second.
“Further, a human can store specific durations, such as duration of notes in music, that last up to about a second.”
The paper relies on this without support.
Humans have the ability to speed up and slow down memorized sequences during recall.
“Humans also have the ability to speed up and slow down memorized sequences during recall, which suggests a partially centralized mechanism that can influence the rate of recall over multiple elements in a sequence.”
The paper relies on this without support.
Duration information must be available over broad areas of cortex so that duration information can be associated between any subsequent elements in a Markov chain.
“Duration information must also be available over broad areas of cortex so that duration information can be associated between any subsequent elements in a Markov chain.”
The authors state this as an assumption.
The timing signal is broadly available in layer 1.
“The timing signal, assumed to be broadly available in layer 1, is shown as blue colored axons.”
The authors state this as an assumption.
Belief-timing neurons project to non-specific thalamic regions (the thalamic matrix) which implement a variable delay mechanism that projects back to layer 1 to complete a timing loop.
“It is assumed that the belief-timing neurons project to non-specific thalamic regions (the thalamic matrix) [54] which implement a variable delay mechanism that projects back to layer 1 to complete a timing loop, as shown in Figure 7.”
The paper relies on this without support.
There is a need for a neuron representing a belief in a coincidence pattern that does not incorporate precise timing information.
“Introspection leads us to believe that there is indeed the need for such a neuron.”
The paper relies on this without support.
Layer 3 pyramidal cells that connect to layer 5 cells have their apical dendrites in layer 1.
“It is also known that layer 3 pyramidal cells that connect to layer 5 cells have their apical dendrites in layer 1.”
The paper relies on this without support.
There are primarily two kinds of pyramidal neurons in layer 5 of the cortex: regular-spiking (RS) neurons and intrinsically bursting (IB) neurons.
“There are primarily two kinds of pyramidal neurons in layer 5 of the cortex. The first type are called 'regular-spiking' (RS) neurons and the second type are called 'intrinsically bursting' (IB) neurons.”
The paper relies on this without support.
IB cells are larger, extend apical dendrites into layer 1, and exhibit a burst of action potentials when they become active.
“The IB cells are larger, they extend apical dendrites into layer 1, and as their name suggests they exhibit a burst of action potentials when they become active.”
The paper relies on this without support.
RS cells are smaller, their apical dendrites are mostly in superficial layer 4, and they exhibit a stream of action potentials when active.
“The RS cells are smaller, their apical dendrites are mostly in superficial layer 4, and they exhibit a stream of action potentials when active.”
The paper relies on this without support.
IB neurons of layer 5 also project to sub-cortical areas and to motor areas.
“The IB neurons of layer 5 also project to sub-cortical areas and to motor areas.”
The paper relies on this without support.
The cerebellum is known to encode specific timing and its connectivity to the thalamus suggests it could play a role in encoding duration.
“For example, the cerebellum is known to encode specific timing and its connectivity to the thalamus suggests it could play this role.”
The paper relies on this without support.
Caltech-101 images have low intra-category variation, and most images are centered and approximately of the same size.
“Caltech-101 images have low intra-category variation. Most of the images are centered and approximately of the same size.”
The authors state this as an assumption.
Excitatory neurons provide the prominent information-processing pathway and inhibitory neurons largely play a supporting role in implementing the learning algorithms.
“we have adopted the common assumption that excitatory neurons provide the prominent information-processing pathway and that inhibitory neurons largely play a supporting role in implementing the learning algorithms.”
The authors state this as an assumption.
Child-node states change synchronously.
“The belief propagation messages in this paper were derived under the simplifying assumption that child-node states change synchronously.”
The authors state this as an assumption.
A node represents a set of mutually exclusive hypotheses.
“relaxing the assumption that a node represents a set of mutually exclusive hypotheses.”
The authors state this as an assumption.
The HTM model assumes a hierarchy of nodes where each node learns spatial coincidences and then learns a mixture of Markov models over the set of coincidences.
“The model, called Hierarchical Temporal Memory (HTM), is a type of Bayesian network which assumes a hierarchy of nodes where each node learns spatial coincidences and then learns a mixture of Markov models over the set of coincidences.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
This coding scheme is Bayesian in implementing the kind of model selection involved in hierarchical hidden Markov models, or hierarchical Kalman filtering.
“This coding scheme is Bayesian in implementing the kind of model selection involved in hierarchical hidden Markov models (George and Hawkins, 2009), or hierarchical Kalman filtering.”
From An Integrated World Modeling Theory (IWMT) of Consciousness (2020) · cites this paper as George and Hawkins, 2009
Biologically plausible theories are available for how cortex could learn using prediction errors by exploiting temporal differences or top-down feedback.
“and biologically plausible theories are available for how cortex could learn using prediction errors by exploiting temporal differences (O'Reilly et al., 2014b) or top-down feedback (George and Hawkins, 2009).”
From Toward an integration of deep learning and neuroscience (2016) · cites this paper as George and Hawkins, 2009
We also know that objects tend to undergo predictable sequences of transformations, and it is possible to build this assumption into unsupervised neural learning systems.
“We also know that objects tend to undergo predictable sequences of transformations, and it is possible to build this assumption into unsupervised neural learning systems (George and Hawkins, 2009).”
From Toward an integration of deep learning and neuroscience (2016) · cites this paper as George and Hawkins, 2009
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Hardware-implementation citation points to an object-categorization paper
MinorThe text cites reference 19 for hardware implementations and parallel architectures, but reference 19 is titled as an object-categorization paper. The reconfigurable-logic implementation is listed as reference 17.
“Another set of researchers has explored hardware implementations and parallel architectures for HTM algorithms [19].”
“19. Csapo A Baranyi P Tikk D 2007 Object categorization using vfa-generated nodemaps and hierarchical temporal memories.”
Object-categorization citation points to a hardware paper
MinorThe text cites reference 17 for object categorization, but reference 17 is titled as a reconfigurable-logic implementation. The object-categorization paper is listed as reference 19.
“Other researchers have reported success in using HTMs in content-based image retrieval [16], object categorization [17], and power system security analysis [18].”
“17. Vutsinas C Taha T Rice K 2008 A neocortex model implementation on reconfigurable logic with streaming memory.”
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- Authors
- George, D., & Hawkins, J.
- ORCID
- Hawkins, Jeff
- Venue
- PLoS Computational Biology
- Publisher
- Public Library of Science (PLoS)
- Published
- 2009-10-09
- Volume
- 5
- Issue
- 10
- Pages
- e1000532
- ISSN
- 1553-734X (ISSN-L)
- 1553-7358
- PMC
- PMC2749218
- OpenAlex
- W2010124835
- Semantic Scholar
- 2f53caf8443a28ea47f7dafe422c06d132b253de
- Cited by
- 404
- References
- 81
- Citations by year
- 2026: 7 · 2025: 17 · 2024: 13 · 2023: 15 · 2022: 13 · 2021: 24 · 2020: 29 · 2019: 25 · 2018: 28 · 2017: 28 · 2016: 31 · 2015: 24 · 2014: 35 · 2013: 22 · 2012: 34
- FWCI
- 14.68
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- PLoS Computational Biology (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Figshare (submittedVersion, cc-by)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Life Sciences › Neuroscience › Cognitive Neuroscience › Memory and Neural Mechanisms
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
- Keywords
- hierarchical temporal memory, hierarchical Bayesian inference, coincidence detectors, cortical anatomy, pattern recognition, cortical computation
- MeSH terms
- Artificial Intelligence, Bayes Theorem, Cerebral Cortex, Feedback, Markov Chains, Memory, Models, Neurological, Pattern Recognition, Automated, Pyramidal Cells
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-09.
Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-09.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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