The DOI matches its Crossref record; 14 of the 15 references it cites were found in a registry or an index.
Learning Invariance from Transformation Sequences
Abstract
The visual system can reliably identify objects even when the retinal image is transformed considerably by commonly occurring changes in the environment. A local learning rule is proposed, which allows a network to learn to generalize across such transformations. During the learning phase, the network is exposed to temporal sequences of patterns undergoing the transformation. An application of the algorithm is presented in which the network learns invariance to shift in retinal position. Such a principle may be involved in the development of the characteristic shift invariance property of complex cells in the primary visual cortex, and also in the development of more complicated invariance properties of neurons in higher visual areas.
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“This idea of continuity is used in a great number of artificial neural networks and related models (Wiskott and Sejnowski, 2002; Földiák, 2008; Mobahi et al., 2009).”
From Toward an integration of deep learning and neuroscience (2016) · cites this paper as Földiák, 2008
Citations
Cites
Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex
Hubel, D. H., & Wiesel, T. N. (1962) · The Journal of Physiology · doi:10.1113/jphysiol.1962.sp006837 · Cited by 13,680
Backpropagation Applied to Handwritten Zip Code Recognition
LeCun, Y., Boser, B., Denker, J. S., Henderson, D., Howard, R. E., Hubbard, W., & Jackel, L. D. (1989) · Neural Computation · doi:10.1162/neco.1989.1.4.541 · Cited by 11,891
Fukushima, K. (1980) · Biological Cybernetics · doi:10.1007/bf00344251 · Cited by 5,759
Toward a modern theory of adaptive networks: Expectation and prediction.
Sutton, R. S., & Barto, A. G. (1981) · Psychological Review · doi:10.1037/0033-295x.88.2.135 · Cited by 1,450
Feature Discovery by Competitive Learning*
Rumelhart, D. E., & Zipser, D. (1985) · Cognitive Science · doi:10.1207/s15516709cog0901_5 · Cited by 1,398
Visual neurones responsive to faces in the monkey temporal cortex
Perrett, D. I., Rolls, E. T., & Caan, W. (1982) · Experimental Brain Research · doi:10.1007/bf00239352 · Cited by 1,385
Forming sparse representations by local anti-Hebbian learning
Földiák, P. (1990) · Biological Cybernetics · doi:10.1007/bf02331346 · Cited by 541
Adaptation and decorrelation in the cortex
Barlow, H. B., & Földiák, P. (1989) · Addison-Wesley Longman Publishing Co., Inc. eBooks · Cited by 263
Learning translation invariant recognition in a massively parallel networks
Hinton, G. E. (1987) · Lecture notes in computer science · doi:10.1007/3-540-17943-7_117 · Cited by 179
A complex-cell receptive-field model
Spitzer, H., & Hochstein, S. (1985) · Journal of Neurophysiology · doi:10.1152/jn.1985.53.5.1266 · Cited by 144
Research works printed but not linked: 2
- Barlow H. B., 1989, Chap., 4, 54
- Sutton R. S., 1981, Psychol. RKV., 88, 135
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Hopfield, J. J. (2000) · Nature Neuroscience · doi:10.1038/81484 · Cited by 3
Sufficient encoding of dynamical systems
Creutzig, F. (2008) · edoc Publication server (Humboldt University of Berlin) · doi:10.18452/15817 · Cited by 3
Hurri, J., & Hyvärinen, A. (2003) · Neurocomputing · doi:10.1016/s0925-2312(02)00783-x · Cited by 3
Modelling the Development of the Retinogeniculate Pathway
Eglen, S. J., Barreau, P. G., Cox, C., JONES, P. M., Noble, J., & Parsowith, S. (1997) · OpenGrey (Institut de l'Information Scientifique et Technique) · Cited by 3
Collett, T. S. (1993) · Nature · doi:10.1038/365693a0 · Cited by 3
Biologically Inspired Object Categorization in Cluttered Scenes
Peerasathein, T., Woo, M., & Gaborski, R. S. (2007) · Proceedings · doi:10.1109/aipr.2007.13 · Cited by 3
“The FENN is trained using the trace Hebbian learning rule [4, 5 ,6].”
MethodA survey of recent developments in theoretical neuroscience and machine vision
Colombe, J. B. (2004) · Proceedings · doi:10.1109/aipr.2003.1284273 · Cited by 3
“, the Cartesian coordinate space of pixel intensities) from one moment to the next [4-6].”
BackgroundMethodSubjective physicsPreprint
Brette, R. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1311.3129 · Cited by 6
A biologically plausible neural network for Slow Feature AnalysisPreprint
Lipshutz, D., Windolf, C., Golkar, S., & Chklovskii, D. (2020) · Neural Information Processing Systems · doi:10.48550/arxiv.2010.12644 · Cited by 19
“However, there is no theoretical analysis of the algorithm in [8].”
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Bun, L. M., & Horwitz, G. D. (2023) · Color Research & Application · doi:10.1002/col.22903 · Cited by 2
Generic fitting models learn edge representations from prenatal retinal waves
Pandey, L., Wood, S. M. W., Cappell, B., & Wood, J. N. (2026) · Cognition · doi:10.1016/j.cognition.2025.106415 · Cited by 2
Zhang, C., Du, J., & Feng, J. (2026) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1013959 · Cited by 2
The geometry of neural representation: From neural tuning to manifold geometry
Zhu, J., Zhu, M., Wu, P., He, Q. L., Wang, J., Niu, X., & Wang, Z. (2026) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2026.118193 · Cited by 3
Exploring a Mixed Representation for Encoding Temporal Coherence
Parkinson, J., Sandouk, U., & Chen, K. (2016) · Lecture notes in computer science · doi:10.1007/978-3-319-46227-1_22 · Cited by 2
“By guiding representation learning from video towards the discovery of temporally coherent structure present in the raw image data, the capture of variance associated with the identity of individual objects is improved [2][3][4].”
BackgroundThe effect of structure on image classification using signatures
Roccaforte, R., & Raudies, F. (2018) · Biological Cybernetics · doi:10.1007/s00422-018-0761-2 · Cited by 2
Malmir, M., & Ghidary, S. S. (2010) · Lecture notes in computer science · doi:10.1007/978-3-642-11876-0_18 · Cited by 2
“Földiák proposed the Trace learning rule to describe the mechanism in which invariant selectivity of neurons are developed from continuous spatial and temporal transformations of the objects [26].”
BackgroundThe invariance hypothesis and the ventral stream
Leibo, J. Z. (2014) · Cited by 2
Learning Image Transformations without Training Examples
Pankov, S. V. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-24031-7_17 · Cited by 2
“[5, 19, 21] transformation-invariant learning was achieved by incorporating delayed response to stimuli into Hebbian-like learning rules.”
BackgroundMethodSato, N., & Yamaguchi, Y. (2009) · Lecture notes in computer science · doi:10.1007/978-3-642-02490-0_23 · Cited by 2
“The Modified Hebb rule for slow input components has been theoretically discussed in the visual [ 17 ] and reward-related systems [18].”
BackgroundNeurons That Confuse Mirror-Symmetric Object Views
Mutch, J., Leibo, J. Z., Smale, S., Rosasco, L., & Poggio, T. (2010) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 2
Combining Spatial Proximity and Temporal Continuity for Learning Invariant Representations
Kurşun, O., & Aytekin, T. (2012) · IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM) · doi:10.1109/asonam.2012.157 · Cited by 2
Selective Attention in the Learning of Invariant Representation of Objects
Li, M., & Clark, J. J. (2006) · 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops · doi:10.1109/cvpr.2005.522 · Cited by 2
“Finally we compare the performance of the proposed learning rule as in Equation 7 with the Hebbian trace rule ( [3]) and the temporal stability constraint rule (Equation 5).”
BackgroundMethodResultInfluentialTwo sites of synaptic integration: relevant for learning?
Kording, K. P., & Peter König, B. (2000) · International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.2000.860817 · Cited by 2
Action Recognition Using Hierarchical Independent Subspace Analysis with Trajectory
Luong, V. D., Wang, L., & Xiao, G. (2014) · Proceedings in adaptation, learning and optimization · doi:10.1007/978-3-319-13359-1_42 · Cited by 2
“3 to implement temporal slowness [32], [33], [34].”
BackgroundTowards a mesoscopic-level canonical circuit definition for visual cortical processing
Layher, G., Brosch, T., & Heiko Neumann, B. (2016) · International Conference on Bio-Inspired Models of Network, Information and Computing Systems (BIONETICS) · doi:10.4108/eai.3-12-2015.2262448 · Cited by 2
Navarro, D. D. M., Mender, B. M. W., Smithson, H. E., & Stringer, S. M. (2018) · PLoS ONE · doi:10.1371/journal.pone.0207961 · Cited by 2
Receptive Fields Similar to Simple Cells Maximize Temporal Coherence in Natural Video
Hurri, J., & Hyvärinen, A. (2002) · Lecture notes in computer science · doi:10.1007/3-540-46084-5_6 · Cited by 2
“The results also link the theory of achieving invariance by temporal coherence (F ¨ oldiák, 1991) to real-world visual data and measured properties of the visual system.”
BackgroundInfluentialSelf-Organized Learning of 3 Dimensions
Szepesvári, C., & Lörincz, A. (1994) · Springer eBooks · doi:10.1007/978-1-4471-2097-1_70 · Cited by 2
Matsugu, M. (2007) · doi:10.5772/4843 · Cited by 2
Learning of Position-Invariant Object Representation Across Attention Shifts
Li, M., & Clark, J. J. (2005) · Lecture notes in computer science · doi:10.1007/978-3-540-30572-9_5 · Cited by 2
“Position invariance can be learned by imposing temporal continuity on the response of a network to temporal sequences of patterns undergoing transformation ([2], [4], [5], and [10]).”
BackgroundUnsupervised Learning of Temporal Constancies by Pyramidal-Type Neurons.
Eisele, M. (1997) · Operations research, computer science. Interface series · doi:10.1007/978-1-4615-6099-9_27 · Cited by 2
Combining DEKF algorithm and trace rule for fast on-line invariance extraction and recognition
Chang, S., Wong, K., & Leung, C.-S. (2000) · Pattern Recognition Letters · doi:10.1016/s0167-8655(00)00013-1 · Cited by 2
“With these goals, a signal mapping model was adopted by Foldiak (1991) and Wallis (1996, 1997) to learn the self-organizing invariant representation of input patterns by using the trace rule.”
BackgroundMethodInfluentialLearning Viewpoint Invariant Face Representations from Visual Experience by Temporal Association
Bartlett, M. S., & B, T. J. S. A. (1998) · Springer eBooks · doi:10.1007/978-3-642-72201-1_19 · Cited by 2
“This mechanism can learn transformation invariant representations when different views of an object are presented in temporal continuity (Foldiak, 1991; Weinshall, Edelman & Bulthoff, 1991; Rhodes, 1992; O'Reilly & Johnson, 1994).”
Hosoya, H. (2018) · arXiv (Cornell University) · Cited by 2
Jia, X., Hong, H., & DiCarlo, J. J. (2020) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2020.01.13.900837 · Cited by 2
Learning receptive field properties of complex cells in V1Preprint
Lian, Y., Almasi, A., Grayden, D. B., Kameneva, T., Burkitt, A. N., & Hamish Meffin, A. (2020) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2020.05.18.101873 · Cited by 2
The Role of Prototype Learning in Hierarchical Models of Vision
Thomure, M. D. (2000) · doi:10.15760/etd.1664 · Cited by 2
“The general problem of invariance learning has been considered in a handful of studies [47, 48, 49, 50, 51], and was applied to an HMAX-like system by Masquelier et al.”
MethodLearning Deep Visual Representations
Goh, H. (2013) · HAL · Cited by 2
Object Identification and Cortical Organization
Barlow, H. B. (1993) · Elsevier eBooks · doi:10.1016/b978-0-08-042004-2.50010-1 · Cited by 2
Extraction of visual features from natural video data using Slow Feature Analysis
Nickisch, H. (2006) · MPG.PuRe (Max Planck Society) · Cited by 2
Human Emotion Detection Using Deep Learning Neural Network
Rao, N., Tanveer, S., Khalid, S. S., & Alam, N. (2022) · Lecture notes in networks and systems · doi:10.1007/978-981-19-2535-1_42 · Cited by 1
Topographic Variational Autoencoders
Song, Y., Keller, T. A., Sebe, N., & Welling, M. (2025) · Synthesis lectures on computer vision · doi:10.1007/978-3-031-88111-4_3 · Cited by 1
On a model of visual cortex: learning invariance and selectivity
Caponnetto, A., Poggio, T., & Smale, S. (2008) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 1
Sensing with Artificial Tactile Sensors: An Investigation of Spatio-temporal Inference
Motiwala, A., Fox, C., Lepora, N. F., & Prescott, T. J. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-23232-9_23 · Cited by 1
“Based on this property of temporal slowness, it has been suggested that the cortex learns to represent invariant and complex representations not just by matching spatial similarity of its inputs but by generalizing over successive spatial patterns in time [8,3].”
BackgroundEvans, B. D., & Stringer, S. M. (2014) · Biological Cybernetics · doi:10.1007/s00422-014-0637-z · Cited by 1
“Trace (Földiák 1991) and CT learning (Stringer et al. 2006) help to associate different images with temporal (Wallis and Rolls 1997; Li and DiCarlo 2008) and spatial overlap (Stringer et al. 2006), respectively, which are likely to represent the same objects.”
BackgroundOnline learning of feature detectors from natural images with the probabilistic WKL rule
Léveillé, J., Hayashi, I., & Fukushima, K. (2012) · Joint International Conference on Soft Computing and Intelligent Systems and International Symposium on Advanced Intelligent Systems (SCIS&ISIS) · doi:10.1109/scis-isis.2012.6505397 · Cited by 1
“One variation of Hebbian learning – the trace rule – uses low-pass filtered post-synaptic output with the hope of achieving spatial invariance through learning from continuously varying input [5, 14, 15].”
BackgroundLearning and disrupting invariance in visual recognition
Işık, L., Leibo, J. Z., & Poggio, T. (2011) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 1
Sequential Memory Retention by Stabilization of Cell Assemblies
Leleu, T. G., & Aihara, K. (2013) · Springer eBooks · doi:10.1007/978-94-007-4792-0_86 · Cited by 1
Multimap formation in visual cortex
Jain, R., Millin, R., & Mel, B. W. (2015) · Journal of Vision · doi:10.1167/15.16.3 · Cited by 1
Self-organization of V1 Complex Cells Based On Slow Feature Analysis And Retinal Waves
Wiskott, L. (2010) · Frontiers in Computational Neuroscience · doi:10.3389/conf.fncom.2010.51.00090 · Cited by 1
Galeazzi, J. M., Navajas, J., Mender, B. M. W., Quiroga, R. Q., Minini, L., & Stringer, S. M. (2016) · Network Computation in Neural Systems · doi:10.1080/0954898x.2016.1187311 · Cited by 1
“Trace learning is a biologically plausible learning mechanism that encourages cells to learn to respond to input images that tend to occur in close temporal proximity (Földiák 1991).”
BackgroundRandom Variable Transformations
Ogunnaike, B. A. (2009) · CRC Press eBooks · doi:10.1201/b17197-10 · Cited by 1
The Spiral Discovery Network as an Evolutionary Model for Gradient-Free Non-Convex Optimization
Csapó, Á. (2018) · IEEE International Conference on Cognitive Infocommunications · doi:10.1109/coginfocom.2018.8639877 · Cited by 1
“[10], [21], [25]).”
Object discrimination performance and dynamics evaluated by inferotemporal cell population activity
Wang, R. H., Dai, L., Okamura, J., Fuchida, T., & Wang, G. (2021) · IBRO Neuroscience Reports · doi:10.1016/j.ibneur.2021.02.008 · Cited by 1
Neuroscientific insights about computer vision models: a concise review
Susan, S. (2024) · Biological Cybernetics · doi:10.1007/s00422-024-00998-9 · Cited by 2
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Trace regulation techniques for feature extraction
Sha, L., Peng, H., & Sun, X. (2002) · International Conference on Signal Processing · doi:10.1109/icosp.1998.770838 · Cited by 1
Reverse engineering object recognition
Cox, D. (2007) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 1
How a Part of the Brain Might or Might Not Work: A New Hierarchical Model of Object Recognition
Riesenhuber, M. (2000) · Cited by 1
Neural mechanisms for face and orientation aftereffects
Zhao, C. X. (2011) · OpenGrey (Institut de l'Information Scientifique et Technique) · Cited by 1
Ferrier, M. R. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1411.4702 · Cited by 3
“In recent years several new approaches have made headway toward solving this problem, using the principle of temporal slowness (Berkes, 2005; Földiák, 1991; Mitchison, 1991).”
High-level visual object representations in inferior temporal cortex
Mur, M. (2011) · Research Publications (Maastricht University) · doi:10.26481/dis.20111202mm · Cited by 1
Fukushima, T., Kasahara, H., Kamigaki, T., & Miyashita, Y. (2008) · Elsevier eBooks · doi:10.1016/b978-012370880-9.00289-9 · Cited by 1
Cortical Networks of Visual Recognition
Thériault, C., Thome, N., & Cord, M. (2015) · Wiley eBooks · doi:10.1002/9783527680863.ch13 · Cited by 1
A Model For Development of Cortical Lateral Connectivities Using Motion Information
Shams, L. B., & Fiser, J. (1998) · Springer eBooks · doi:10.1007/978-1-4615-4831-7_85 · Cited by 1
Learning of view-invariant pattern recognizer with temporal context
Inoue, K., & Urahama, K. (2000) · Pattern Recognition · doi:10.1016/s0031-3203(99)00146-6 · Cited by 1
“View-invariant pattern recognizers can be devised by unsupervised learning utilizing this temporal information [5].”
BackgroundNeural Clustering Of Correspondences For Visual Pose Estimation
Maul, T., & Baba, S. (2009) · European Conference on Modelling and Simulation (ECMS) · doi:10.7148/2009-0820-0826 · Cited by 1
“A modified Hebbian rule for example (Földiák 1991) might state that changes in synaptic strength are proportional to presynaptic activity and a temporal average of post-synaptic activity.”
BackgroundUsing sparse trace neural network to extract temporal-spatial invariance
Peng, H., Gan, Q., Sha, L., & Yu, W. (2002) · International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.1998.685961 · Cited by 1
Blumensath, T. (2006) · ePrints Soton (University of Southampton) · Cited by 1
Matsugu, M., Mori, K., & Mitarai, Y. (2004) · Studies in fuzziness and soft computing · doi:10.1007/978-3-540-39935-3_3 · Cited by 1
Miyata, R., & Kurata, K. (2011) · Journal of Advanced Computational Intelligence and Intelligent Informatics · doi:10.20965/jaciii.2011.p1123 · Cited by 1
Rolls, E. T. (2001) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198524885.003.0007 · Cited by 1
Rolls, E. T. (2001) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198524885.003.0006 · Cited by 1
Complex Cells and the Representation of Local Image-Structure
Hansard, M. E., & Horaud, R. (2010) · Cited by 1
Masquelier, T. (2008) · Thèses en ligne de l'Université Toulouse III (Université Toulouse III) · Cited by 1
Gates for Handling Occlusion in Bayesian Models of Images: An Initial Study
Oberhoff, D., Endres, D., Giese, M. A., & Kolesnik, M. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-24455-1_21 · Cited by 1
“Both computer vision systems and models of (mammalian) biological vision have been researched extensively in the past few decades [4,5,9].”
BackgroundLearned Factorization Models to Explain Variability in Natural Image Sequences
Culpepper, B. J. (2011) · eScholarship (California Digital Library)
Szepesvári, C., & Lörincz, A. (1993) · Springer eBooks · doi:10.1007/978-1-4471-2063-6_77
Neural Network Modelling of Hierarchical Motor Function in the Brain
Galeazzi, J. M., & Stringer, S. M. (2013) · Springer eBooks · doi:10.1007/978-3-642-39875-9_13
“In this case, how might a visual signal ei guide the development of the hand-centred response properties of these PPC cells during training in the light? Recently, Galeazzi et al. (2013) have proposed a biologically plausible model of how neurons in the PPC might develop their hand-centred responses to visual targets…”
BackgroundLearning Quadratic Forms by Density Estimation and its Applications to Image Coding
Bartsch, H., Hochreiter, S., & Obermayer, K. (2003)
An Anticipatory Self-Organized Map for Robust Recognition.
Swarup, S., Lakkaraju, K., Klementiev, A., Ray, S. R., & Sassen, E. (2005)
Yamaguchi, R., Honda, K., Okamura, J., Saruwatari, S., Oshima, J., & Wang, G. (2013) · Lecture notes in computer science · doi:10.1007/978-3-642-42051-1_25
“It has been proposed that different views of an object become associated when they are experienced in succession during rotation [1-2].”
BackgroundWhat happens next and when "next" happens: Mechanisms of spatial and temporal predictionPreprint
Wyatte, D. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1407.5328
“Information is relayed from the thalamus back up to layer 4 in a focal one-to-one manner that maintains microcolumnar separation (Sherman & Guillery, 2006; Thomson, 2010), which could allow temporal associations to be formed by local Hebbian learning mechanisms that track high probability co-occurences across past and…”
BackgroundInfluentialA simple biologically inspired principal component analyzer-ModH neuron model
Jankovic, M. V. (2004) · Seminar on Neural Network Applications in Electrical Engineering (NEUREL) · doi:10.1109/neurel.2002.1057960
Handwritten digit recognition using trace neural network with EKF training algorithm
Wang, K., Sheng-Jiang, C., & Leung, C.-S. (2003) · IEEE International Conference on Electronics, Circuits and Systems (ICECS) · doi:10.1109/icecs.1999.812281
Properties and processing of natural scenes
Kayser, C. (2004) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-a-004725724
An Adaptive Hierarchical Model of the Ventral Visual Pathway Implemented on a Mobile Robot
Bray, A. J. (2002) · Lecture notes in computer science · doi:10.1007/3-540-36181-2_55
“F¨ oldi´ ak initially used a trace rule [ 2 ] combined with local competition (as does [5]).”
BackgroundMethodSelective Attention in the Learning of Viewpoint and Position Invariance
Li, M., & Clark, J. J. (2007) · Lecture notes in computer science · doi:10.1007/978-3-540-77343-6_17
“Feature maps are calculated by a set of “centresurround” operations, which are implemented as the difference between fine (at scale c ∈ [2, 3, 4]) and coarse scales (at scale s = c + δ ,w ithδ ∈ [3, 4 ]).”
MethodInfluentialSelf-organization of complex-like cells
Fukushima, K., & Yoshimoto, K. (2003) · International Conference on Neural Information Processing · doi:10.1109/iconip.1999.843997
A learning rule for extracting temporal invariances
Stone, J. V., & Bray, A. J. (1995) · Lecture notes in computer science · doi:10.1007/3-540-59497-3_174
Learning mid-level motion features for the recognition of body movements
Sigala, R., Serre, T., Poggio, T., & Giese, M. A. (2010) · Journal of Vision · doi:10.1167/5.8.26
“The algorithm is based in a previous work of [3] who exploits a simple memory trace rule for the learning of shift invariance.”
MethodUnsupervised learning of spatial transformations in the absence of temporal continuity
Banerjee, B., & Dizaji, K. G. (2014) · IEEE Symposium on Computational Intelligence for Multimedia, Signal and Vision Processing (CIMSIVP) · doi:10.1109/cimsivp.2014.7013276
“The pooling regions are often learned by exploiting temporal continuity (see for example, [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19]) which requires time-varying data.”
Neural network approach to the ECM problem
Gonoi, K., & Kurokawa, T. (2000) · Systems and Computers in Japan · doi:10.1002/1520-684x(200101)32:1
McCollum, G. (1997) · Behavioral and Brain Sciences · doi:10.1017/s0140525x97321608
Unsupervised learning algorithm for signal separation
Jacob, T., & Snyder, W. E. (2014) · IEEE Symposium on Computational Intelligence for Multimedia, Signal and Vision Processing (CIMSIVP) · doi:10.1109/cimsivp.2014.7013286
“Oja’s rule models the relationship between different incoming weights to a single neuron, while SOM models the relationship between neurons themselves.”
BackgroundDevelopment of invariant feature maps via a computational model of simple and complex cells
Huang, W., Ji, Z., Brumby, S. P., Kenyon, G. T., & Bettencourt, L. M. A. (2012) · International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.2012.6252521
“(16) and (17), provide a trace-like rule for Hebbian learning, as is suggested in [5][14].”
BackgroundMethodLearning invariant feature toward recognition modeling biology vision
Zou, Q., & Luo, S. (2005) · International Conference on Signal Processing · doi:10.1109/icosp.2004.1441634
“In neurobiology notion, nonlinearity between simple cells and cells in higher levels plays important role in transferring feature information([4]).”
BackgroundCognitive Science and Psychology
Chow, S. L. (1994) · Journal of Intelligent Systems · doi:10.1515/jisys.1994.4.3-4.309
Biology vision inspired singularity model in invariant recognition
Zou, Q., & Luo, S. (2005) · International Conference on Machine Learning and Cybernetics · doi:10.1109/icmlc.2004.1380444
Development of shape primitives from images of composite objects represented by complex cells
Shams, L. B., & von der Malsburg, C. (1997) · Lecture notes in computer science · doi:10.1007/bfb0020266
Metadata
- Authors
- Földiák, P.
- Affiliations
- Physiological Laboratory, University of Cambridge, Downing Street, Cambridge CB2 3EG, U.K.
- Venue
- Neural Computation
- Publisher
- MIT Press - Journals
- Published
- 1991-06
- Volume
- 3
- Issue
- 2
- Pages
- 194-200
- ISSN
- 0899-7667 (ISSN-L)
- 1530-888X
- OpenAlex
- W2096388912
- Cited by
- 661
- References
- 15
- Citations by year
- 2026: 9 · 2025: 6 · 2024: 10 · 2023: 12 · 2022: 11 · 2021: 20 · 2020: 16 · 2019: 18 · 2018: 21 · 2017: 16 · 2016: 37 · 2015: 20 · 2014: 31 · 2013: 24 · 2012: 28
- FWCI
- 5.77
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Neural Computation (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Visual perception and processing mechanisms
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Image and Video Retrieval Techniques
- Keywords
- invariance learning, transformation sequences, translation invariance, local learning rules, visual object recognition, complex cells, primary visual cortex, visual system development
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.
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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