Cited by 685Neural dynamics and brain functionMemory and Neural MechanismsNeuroscience and Neuropharmacology Research

Decision Making in Recurrent Neuronal Circuits

Open access
Wang, Xiao-Jing·2008·Neuron

Abstract

Decision making has recently emerged as a central theme in neurophysiological studies of cognition, and experimental and computational work has led to the proposal of a cortical circuit mechanism of elemental decision computations. This mechanism depends on slow recurrent synaptic excitation balanced by fast feedback inhibition, which not only instantiates attractor states for forming categorical choices but also long transients for gradually accumulating evidence in favor of or against alternative options. Such a circuit endowed with reward-dependent synaptic plasticity is able to produce adaptive choice behavior. While decision threshold is a core concept for reaction time tasks, it can be dissociated from a general decision rule. Moreover, perceptual decisions and value-based economic choices are described within a unified framework in which probabilistic choices result from irregular neuronal activity as well as iterative interactions of a decision maker with an uncertain environment or other unpredictable decision makers in a social group.

AI snapshot

Written from the paper’s full text.

TL;DR

This review proposes that decision making arises from recurrent cortical circuits with slow recurrent excitation balanced by fast feedback inhibition, producing attractor states and long transients for evidence accumulation and categorical choice. It integrates monkey physiology, human imaging, and biophysical modeling to argue that reward-dependent synaptic plasticity and intrinsic stochastic dynamics explain adaptive and probabilistic choice.

Key findings

  • A recurrent neural circuit model with strong recurrent excitation and feedback inhibition can instantiate attractor states for categorical choices while using slow transients to accumulate evidence; NMDA-receptor-mediated synapses are proposed as a key substrate, with an example network time constant of τnetwork = τsyn/(|1 − wrec|), where τsyn = 100 ms and wrec = 0.9 gives τnetwork = 1 s.
  • In the random-dot motion task, monkey response time increased by ~400 ms from easiest (c′ = 100%) to hardest (c′ = 3.2%), and LIP neurons showed ramping activity whose threshold was independent of c′ and response time; the model reproduces longer RTs in error trials and performance plateaus at long viewing times.
  • Decision threshold is a core concept for reaction-time tasks but can be dissociated from a general decision rule; threshold may be implemented downstream in superior colliculus movement neurons and gated by basal ganglia, with cortico-striatal synaptic strength as a candidate locus for adaptive tuning.
  • Reward-dependent synaptic plasticity in the decision circuit can produce adaptive choice behavior, including matching law behavior and undermatching in foraging tasks, and can generate quasirandom behavior in competitive games through stochastic synaptic dynamics rather than an explicit random number generator.

Methods

  • Design: narrative review and theoretical synthesis, not a primary experimental study.
  • Data or sample: synthesizes electrophysiological findings from behaving monkeys (e.g., LIP, VIP, MT, prefrontal, premotor), human EEG/fMRI studies, and prior computational models; no new experimental sample is reported.
  • Main analysis: conceptual integration of experimental results with biophysically based spiking recurrent network models, attractor/decision-space analysis, and phase-plane analyses.

Limitations

  • The paper states that most ramping-activity recordings are from one cell at a time and usually reported as trial-averaged activity, leaving open whether single-trial spike trains show quasilinear ramps or sudden jumps with variable timing.
  • The paper states that it remains unclear whether decision-related parietal activity is generated locally or reflects inputs from elsewhere, and that prefrontal recordings in the reaction-time version of the RDM task are lacking.
  • The paper states that cellular and synaptic mechanisms of ramping activity remain to be elucidated experimentally, whether LIP acts as an attractor network has been questioned, and the site of valuation-related synaptic plasticity and learning with long-delayed outcomes are largely unknown; as a review, it also does not provide new primary data or systematic review methodology (evident from the text).

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.1016/j.neuron.2008.09.034

Cites

206 of 206 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Claims the paper makes

0 of 169 cited sources checked · 0 supported · 0 flagged

  • Findingcitation

    In VIP but not MT, neuronal activity was significantly larger than baseline in false-alarm trials.

    “In VIP but not MT, neuronal activity was significantly larger than baseline in false-alarm trials, suggesting that the subjective judgment was computed downstream of MT.”
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    • cites Cook and Maunsell, 2002 source

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  • Findingcitation

    In rodents, olfactory discrimination is fast (~300 ms) in rats.

    “In rodents, a study reported that olfactory discrimination is fast (~300 ms) in rats.”
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    • cites Uchida and Mainen, 2003

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  • Findingcitation

    In a visual motion detection task, ventral intraparietal (VIP) neurons exhibited ramping activity correlated with subjective judgment and response time.

    “Another physiological study reported that, while monkeys performed a task of detecting the presence of a visual motion stimulus, neurons in ventral intraparietal (VIP) area of the posterior parietal cortex exhibited ramping activity that was correlated with the subjective judgment (a higher activity in hit and false-alarm trials than in miss and correct rejection trials) and response time (ranging”
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    • cites Cook and Maunsell, 2002 source

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  • Findingcitation

    In a reaction time version of the random-dot motion task, the subject's response time increased by ~400 ms from the easiest (c′ = 100%) to the hardest (c′ = 3.2%).

    “Moreover, in a reaction time version of the task (Roitman and Shadlen, 2002; Huk and Shadlen, 2005), the subject’s response time increased by ~400 ms from the easiest (with c′ = 100%) to the hardest (with c′ = 3.2%) (Figures 1A and 1B).”
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    • cites Roitman and Shadlen, 2002 source

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    • cites Huk and Shadlen, 2005 source

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  • Findingown data

    LIP cells exhibited characteristic firing time courses that reflected the monkey's response time and perceptual choice.

    “LIP cells exhibited characteristic firing time courses that reflected the monkey’s response time and perceptual choice (Figures 1C and 1D).”
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    • cites Roitman and Shadlen, 2002 source

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    • cites Huk and Shadlen, 2005 source

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    Findingcitation

    In rats, olfactory discrimination performance varied from chance level to near 100% correct as task difficulty varied, but reaction times changed only slightly (by ~30 ms).

    “Performance varied from chance level to near 100% correct, as the task difficulty was varied by adjusting the relative proportions of two odorants in a binary mixture, but the RTs were changed only slightly (by ~30 ms) (Uchida and Mainen, 2003).”
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    Findingcitation

    In mice, olfactory discrimination performance was high (~95% correct) regardless of discrimination difficulty, while reaction times increased by ~80 ms from the easiest to the hardest.

    “In contrast, another study found that, in mice, olfactory discrimination performance was high (~95% correct), regardless of discrimination difficulty, while RTs increased by ~80 ms from the easiest to the hardest (Abraham et al., 2004), suggesting that in these tasks rodents exhibit speed-accuracy tradeoff on a timescale of less than 100 ms.”
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    • cites Abraham et al., 2004

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    Findingown data

    During comparison decision in the somatosensory task, neural activity became binary: a plus neuron showed high firing when the monkey's choice was f1 > f2 and low firing when the monkey's choice was f1 < f2; a minus neuron showed the opposite trend.

    “During comparison decision, neural activity became binary: a “plus neuron” showed high firing in trials when the monkey’s choice was f1 > f2, low firing in trials when the monkey’s choice was f1 < f2; a “minus neuron” showed the opposite trend.”
    Quote in the paperSubstantial claim
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    Findingcitation

    The time-to-peak of the P300 component recorded in the parietal cortical area increased with the difficulty of stimulus discriminability and reaction time but was indifferent to stimulus-response compatibility.

    “Interestingly, it was found that the time-to-peak of the P300 component recorded in the parietal cortical area increased with the difficulty of stimulus discriminability and RT but was indifferent to the stimulus-response compatibility (Kutas et al., 1977; McCarthy and Donchin, 1981).”
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    • cites McCarthy and Donchin, 1981 source

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    Findingcitation

    A free motor decision could be decoded from BOLD signals in the frontal and parietal cortex long (seconds) before it entered awareness.

    “Moreover, a recent study showed that a free motor decision could be decoded from BOLD signals in the frontal and parietal cortex long (seconds) before it entered awareness (Soon et al., 2008).”
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    • cites Soon et al., 2008 source

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    Findingcitation

    In a speech sound identification task, BOLD fMRI of the auditory cortex reflected the signal-to-noise ratio (the quality of sensory information), whereas that of the inferior frontal cortex increased linearly with the reaction time.

    “In one study (Binder et al., 2004), a subject was asked to identify a speech sound in a noisy auditory stimulus, blood-oxygen-level-dependent (BOLD) functional magnetic resonance imaging (fMRI) of the auditory cortex was found to reflect the signal-to-noise ratio (the quality of sensory information), whereas that of the inferior frontal cortex increased linearly with the reaction time (an index of”
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    • cites Binder et al., 2004 source

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    Findingcitation

    Neurons in lateral prefrontal cortex and LIP showed a similar activity pattern: their activity reflected the monkey's choice, was a graded function of motion strength c′ during motion viewing, and persistent activity during the delay became insensitive to c′.

    “Neurons in the lateral prefrontal cortex (Kim and Shadlen, 1999) and LIP (Shadlen and Newsome, 1996, 2001; Roitman and Shadlen, 2002) showed a similar activity pattern: their activity reflected the monkey’s choice, but, while it was a graded function of the motion strength c′ during motion viewing, persistent activity during the delay became insensitive to c′.”
    Quote in the paperSubstantial claim0 of 3 sources checked
    • cites Kim and Shadlen, 1999 source

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    • cites Shadlen and Newsome, 1996, 2001

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    • cites Roitman and Shadlen, 2002 source

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    Findingown data

    The rate of ramping activity fluctuates from trial to trial due to stochastic firing dynamics in the cortex and is inversely related to decision time on a trial-by-trial basis.

    “The rate of ramping activity fluctuates from trial to trial, as a result of stochastic firing dynamics in the cortex, and is inversely related to the decision time (as defined by the time when a burst is triggered in the SC) on a trial-by-trial basis (Figure 4C).”
    Quote in the paperSubstantial claim
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    Findingcitation

    Trial-to-trial variability of saccade response time was inversely correlated with the slope of the buildup activity of movement-related neurons, whereas the threshold level remained constant independent of the response time.

    “Trial-to-trial variability of saccade response time was shown to be inversely correlated with the slope of the buildup activity of movement-related neurons, whereas the threshold level remained constant independent of the response time (Hanes and Schall, 1996).”
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    • cites Hanes and Schall, 1996 source

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    Premisecitation

    In human studies, mean reaction times typically range from tens of milliseconds to about a second in simple perceptual tasks.

    “In human studies, mean RTs typically range from tens of milliseconds to about a second in simple perceptual tasks (Luce, 1986; Usher and McClelland, 2001).”
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    • cites Luce, 1986

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    • cites Usher and McClelland, 2001 source

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  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).

    Premisenone given

    Decision threshold is a core concept for reaction time tasks.

    “While decision threshold is a core concept for reaction time tasks, it can be dissociated from a general decision rule.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisenone given

    Electrophysiological studies with behaving monkeys have revealed that reaction times can be related to neural activity at the single-cell level.

    “Recently, electrophysiological studies with behaving monkeys have revealed that reaction times can be related to neural activity at the single-cell level.”
    Quote in the paperNot a substantial claim
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    Premisecitation

    We typically take a longer time to ponder a more difficult decision, when information provided by the external world is conflicting or when there are numerous options to consider.

    “Moreover, we typically take a longer time to ponder a more difficult decision, when information provided by the external world is conflicting or when there are numerous options to consider (Hick, 1952; Vickers, 1970).”
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    • cites Hick, 1952 source

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    • cites Vickers, 1970

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    Premisecitation

    The diffusion model is popular because of its simplicity yet proven success with fitting behavioral data in numerous human studies.

    “The diffusion model is popular because of its simplicity yet proven success with fitting behavioral data in numerous human studies (Ratcliff, 1978; Busemeyer and Townsend, 1993; Smith and Ratcliff, 2004).”
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    • cites Ratcliff, 1978 source

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    • cites Busemeyer and Townsend, 1993

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    • cites Smith and Ratcliff, 2004 source

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  • Probably not a substantial claim: may not pass S4 (based).

    Interpretationnone given

    Decision threshold can be dissociated from a general decision rule.

    “While decision threshold is a core concept for reaction time tasks, it can be dissociated from a general decision rule.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Premisecitation

    In the random-dot motion direction discrimination task, direction-sensitive neurons in area MT encode the motion stimulus, while the decision process itself occurs downstream of MT, potentially in posterior parietal cortex and/or prefrontal cortex.

    “Extensive physiological and microstimulation studies have shown that while direction-sensititve neurons in the area MT encode the motion stimulus (Newsome et al., 1989; Britten et al., 1992, 1993, 1996), the decision process itself occurs downstream of MT, potentially in the posterior parietal cortex and/or prefrontal cortex.”
    Quote in the paperSubstantial claim0 of 2 sources checked
    • cites Newsome et al., 1989 source

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    • cites Britten et al., 1992, 1993, 1996

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Classified as probably not a substantial claim. May combine two claims.

    Premisecitation

    Prefrontal neurons often display ramping activity during a mnemonic delay period, but this could reflect anticipation and timing of an upcoming response rather than decision computation.

    “Prefrontal neurons often display ramping activity during a mnemonic delay period, but this could reflect anticipation and timing of an upcoming response rather than decision computation (Fuster, 2008; Chafee and Goldman-Rakic, 1998; Quintana and Fuster, 1999; Brody et al., 2003; Miller et al., 2003; Watanabe and Funahashi, 2007).”
    Quote in the paperSubstantial claim0 of 3 sources checked
    • cites Fuster, 2008

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    • cites Chafee and Goldman-Rakic, 1998

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    • cites Quintana and Fuster, 1999

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  • May combine two claims.

    Interpretationreasoning

    The crossing of a boundary between attraction basins is slow, which explains why reaction times are longer in error trials than in correct trials.

    “The crossing of a boundary between attraction basins is slow, which explains why the reaction times are longer in error trials than in correct trials, as was observed in the monkey experiment (Roitman and Shadlen, 2002).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Roitman and Shadlen, 2002 source

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  • May combine two claims.

    Interpretationown data

    The neural decision process proceeds in two steps: sensory data are first integrated over time in a graded fashion, followed by winner-take-all competition leading to a binary choice.

    “Second, the neural decision process proceeds in two steps: sensory data are first integrated over time in a graded fashion, followed by winner-take-all competition leading to a binary choice.”
    Quote in the paperSubstantial claim
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    Interpretationreasoning

    The subject made the decision during stimulus viewing and maintained actively the binary choice across the delay to guide a later behavioral response.

    “The implication was that the subject made the decision during stimulus viewing and maintained actively the binary choice across the delay to guide a later behavioral response.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationown data

    In the somatosensory task, working memory precedes decision making, but the same circuit is engaged in both processes.

    “In this task, working memory precedes decision making, but again the same circuit is engaged in both processes.”
    Quote in the paperSubstantial claim
  • Classified as probably not a substantial claim.

    Interpretationcitation

    The common occurrence of decision-related activity and mnemonic persistent activity suggests a common circuit mechanism underlying decision making and working memory.

    “Motivated by this observation, it has been proposed that this is not a mere coincidence, but suggests a common circuit mechanism underlying decision making and working memory (Wang, 2002).”
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    • cites Wang, 2002 source

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    Interpretationcitation

    These areas may provide top-down signals to sensory neurons, whose spiking activity commonly displays weak trial-to-trial correlated variability with monkeys' choices.

    “These areas may provide top-down signals to sensory neurons, whose spiking activity commonly displays weak trial-to-trial correlated variability with monkeys’ choices (Britten et al., 1996; Shadlen and Newsome, 1996; Parker and Krug, 2003; Law and Gold, 2008).”
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    • cites Britten et al., 1996 source

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    • cites Shadlen and Newsome, 1996

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    • cites Parker and Krug, 2003

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    Interpretationreasoning

    The slow-reverberation mechanism relies on the slow kinetics of NMDA receptor-mediated channels and emphasizes the importance of NMDA receptors for online cognition.

    “Note that this mechanism relies on the slow kinetics of NMDA receptor-mediated channel and emphasizes the importance of NMDA receptors for online cognition (rather than its well-known role in long-term synaptic plasticity).”
    Quote in the paperSubstantial claim
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    Premisecitation

    In an RT task, decision time can be deduced from measured reaction time minus motor response latency, which has been shown to be correlated with threshold crossing of LIP neuronal activity.

    “In an RT task, a decision time can be deduced from measured reaction time (minus motor response latency), which has been shown to be correlated with threshold crossing of LIP neuronal activity (Roitman and Shadlen, 2002).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Roitman and Shadlen, 2002 source

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    Interpretationcitation

    The feedback mechanism of lateral synaptic inhibition, not feed-forward subtraction, is supported by the observation that micro-stimulation of one neural pool in LIP sped up decisions in its preferred direction and slowed down decisions in the antipreferred direction.

    “This feedback mechanism, not the feed-forward subtraction, is supported by the observation that micro-stimulation of one neural pool in LIP not only sped up the decisions in its preferred direction but also slowed down the decisions in the antipreferred direction (Hanks et al., 2006).”
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    • cites Hanks et al., 2006 source

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    Interpretationcitation

    The attractor network model can subtract negative signals as well as add positive evidence about choice alternatives.

    “Third, the attractor network model has been shown to be able to subtract negative signals as well as add positive evidence about choice alternatives, but the influence of newly arriving inputs diminishes over time, as the network converges toward one of the attractor states representing the alternative choices (Wang, 2002).”
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    • cites Wang, 2002 source

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    Interpretationreasoning

    The model predicts positive trial-by-trial correlation between neural pairs of the same tuning type, and negative correlation between neural pairs of opposite tuning.

    “The model predicts positive trial-by-trial correlation between neural pairs of the same (positively or negatively monotonic) tuning type, and negative correlation between neural pairs of opposite tuning.”
    Quote in the paperSubstantial claim
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    Premisecitation

    Human studies commonly report skewed RT distributions with a long right tail, which is well captured by the diffusion model but not the existing neural circuit model.

    “On the other hand, human studies commonly report skewed RT distributions with a long right tail, which is well captured by the diffusion model (Ratcliff, 1978; Luce, 1986; Ratcliff and Rouder, 1998; Usher and McClelland, 2001; Sigman and Dehaene, 2005) but not the existing neural circuit model.”
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    • cites Ratcliff, 1978 source

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    • cites Luce, 1986

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    • cites Ratcliff and Rouder, 1998 source

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    Premisenone given

    A distinguishing feature of the nonlinear attractor model is strong recurrent excitation, which is absent in linear accumulator models.

    “A distinguishing feature of the nonlinear attractor model is strong recurrent excitation, which is absent in linear accumulator models.”
    Quote in the paperNot a substantial claim
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    Interpretationreasoning

    The network displays transient dynamics of ramping activity on a timescale of up to 1 s, and this ability critically depends on NMDA receptors.

    “Thus, the network displays transient dynamics of ramping activity on a timescale of up to 1 s, and this ability critically depends on the NMDA receptors (Wang, 2002; Wong and Wang, 2006).”
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    • cites Wang, 2002 source

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    • cites Wong and Wang, 2006 source

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    Premisecitation

    The recurrent neural circuit model produces decision-time distributions that do not show pronounced right tails and are similar to those observed in the monkey experiment.

    “This is not the case in the recurrent neural circuit model, which produces decision-time distributions that do not show pronounced right tails and are similar to those observed in the monkey experiment (X.-J. Wang, 2006, Soc. Neurosci., abstract).”
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    • cites X.-J. Wang, 2006, Soc. Neurosci., abstract

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    Interpretationreasoning

    The positive-feedback mechanism ultimately leads to an acceleration of the ramping neural activity toward a decision bound, preventing excessively long decision times.

    “The positive-feedback mechanism ultimately leads to an acceleration of the ramping neural activity toward a decision bound, preventing excessively long decision times.”
    Quote in the paperSubstantial claim
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    Interpretationreasoning

    Matching implies that the two returns are equalized, thus encoding reward values in terms of returns is especially suited for matching computation.

    “Note that matching implies that the two returns are equalized, thus encoding reward values in terms of returns is especially suited for matching computation.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S4 (based). May combine two claims.

    Interpretationnone given

    The response time is interpreted in terms of the time at which neural signals from a decision circuit are read out by the motor system, which can be flexibly adjusted and differently controlled in a reaction-time task or a fixed-duration task.

    “The response time is interpreted in terms of the time at which neural signals from a decision circuit are read out by the motor system, which can be flexibly adjusted and differently controlled in a reaction-time task or a fixed-duration task.”
    Quote in the paperNot a substantial claim
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    Interpretationcitation

    Without neural variability, decision behavior tends to get stuck with the more rewarding alternative; stochastic spiking activity renders the network more exploratory and produces undermatching as a consequence.

    “Without neural variability, decision behavior tends to get stuck with the more rewarding alternative; stochastic spiking activity renders the network more exploratory and produces undermatching as a consequence.”
    Quote in the paperSubstantial claim
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    Interpretationreasoning

    The decision behavior is influenced by past rewards harvested locally in time, in agreement with the observed monkey's behavior.

    “Hence, the decision behavior is influenced by past rewards harvested locally in time, in agreement with the observed monkey’s behavior (Sugrue et al., 2004; Lau and Glimcher, 2005).”
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    • cites Sugrue et al., 2004 source

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    • cites Lau and Glimcher, 2005 source

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    Premisenone given

    The network behavior is described by a softmax decision criterion: the probability of choosing A versus B is a sigmoid function of the difference in the inputs to the two competing neural pools.

    “Recall that the network behavior is described by a softmax decision criterion, that is, the probability of choosing A versus B is a sigmoid function of the difference in the inputs (ΔI) to the two competing neural pools (Figure 4D, upper panel).”
    Quote in the paperSubstantial claim
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    Interpretationreasoning

    Reward expectation and prediction error depend on each other and must be computed iteratively, possibly in different brain regions connected in a reciprocal loop.

    “Thus, the reward expectation and the prediction error depend on each other and must be computed iteratively, possibly in different brain regions connected in a reciprocal loop.”
    Quote in the paperSubstantial claim
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    Interpretationreasoning

    In a competitive game, the interplay with the opponent induces reward-dependent synaptic plasticity that forces ΔI to be close to zero, resulting in random behavior.

    “In a competitive game, the interplay with the opponent induces reward-dependent synaptic plasticity that forces ΔI to be close to zero, resulting in random behavior.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: Synaptic learning depends on reward signals.
    • The authors state this as an assumption: Synapses for inputs to decision neurons are potentiated only if the choice is rewarded, and depressed otherwise.
  • Classified as probably not a substantial claim.

    Premisecitation

    In reinforcement models for reward-dependent choice, the DV is defined by values of response options which are deterministically updated according to past rewards, whereas the choice is generated by a probabilistic decision rule (e.g., a softmax criterion) based on the DV.

    “On the other hand, in reinforcement models for reward-dependent choice (Barraclough et al., 2004; Sugrue et al., 2004, 2005; Lau and Glimcher, 2005), the DV is defined by values of response options which are deterministically updated according to past rewards, whereas the choice is generated by a probabilistic decision rule (e.g., a softmax criterion) based on the DV.”
    Quote in the paperSubstantial claim0 of 3 sources checked
    • cites Barraclough et al., 2004 source

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    • cites Sugrue et al., 2004, 2005

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    • cites Lau and Glimcher, 2005 source

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  • Classified as probably not a substantial claim. May combine two claims.

    Interpretationreasoning

    Although activity of decision neurons depends on values of response options, valuation may occur elsewhere, perhaps at the synaptic level.

    “Therefore, although activity of decision neurons depends on values of response options, valuation may occur elsewhere, perhaps at the synaptic level.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Intrinsic indeterminacy may be essential for unpredictable behavior.

    “Glimcher (2005) argued that intrinsic indeterminacy may be essential for unpredictable behavior.”
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    • cites Glimcher, 2005 source

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  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).

    Premisenone given

    The computational benefit of time integration is understood in terms of the signal-to-noise ratio, which increases over time (~√t in the diffusion model).

    “The computational benefit of time integration is understood in terms of the signal-to-noise ratio, which increases over time (~√t in the diffusion model).”
    Quote in the paperNot a substantial claim
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    Interpretationreasoning

    This softmax is simply a description of behavioral statistics, not the decision criterion used to produce individual choices in single trials.

    “This softmax is simply a description of behavioral statistics, not the decision criterion used to produce individual choices in single trials.”
    Quote in the paperSubstantial claim
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    Interpretationcitation

    If initially cA is larger than cB, and the system chooses target A more frequently, it would be exploited by the opponent, and the unrewarded outcomes from choosing A induce depression of the synapses to the neural pool A, so that the difference cA − cB decreases over time, and the system gradually chooses B more frequently.

    “For instance, if initially cA is larger than cB, and the system chooses target A more frequently, it would be exploited by the opponent, and the unrewarded outcomes from choosing A induce depression of the synapses to the neural pool A, so that the difference cA − cB decreases over time, and the system gradually chooses B more frequently (Soltani et al., 2006; Lee and Wang, 2008).”
    Quote in the paperSubstantial claim0 of 2 sources checked
    • cites Soltani et al., 2006

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    • cites Lee and Wang, 2008

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    • The authors state this as an assumption: Synaptic learning depends on reward signals.
    • The authors state this as an assumption: Synapses for inputs to decision neurons are potentiated only if the choice is rewarded, and depressed otherwise.
  • May combine two claims.

    Interpretationreasoning

    The neural dynamics give rise to stochastic decisions, with the aggregate behavior characterized by a softmax function of the difference ΔI in the inputs to the competing decision neurons.

    “The neural dynamics give rise to stochastic decisions, with the aggregate behavior characterized by a softmax function of the difference ΔI in the inputs to the competing decision neurons.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Premisecitation

    In accumulator models of perceptual decision, randomness originates from noise in the external input, so the DV is stochastic but the decision rule (the bound) is fixed.

    “Thus, in accumulator models of perceptual decision, randomness originates from noise in the external input, so the DV is stochastic but the decision rule (the bound) is fixed.”
    Quote in the paperNot a substantial claim
48 of 48
  • The authors state this as an assumption.

    Recurrent synaptic excitation is sufficiently strong to generate multiple self-sustained stable states of neural populations (attractor states).

    “Recurrent synaptic excitation is assumed to be sufficiently strong to generate multiple self-sustained stable states of neural populations, which are mathematically referred to as “attractor states.””
  • The paper relies on this without support.

    In the mammalian brain, a decision is not made by single cells, but by the collective dynamics of a neural circuit.

    “Yet, in the mammalian brain, a decision is not made by single cells, but by the collective dynamics of a neural circuit.”
  • The paper relies on this without support.

    Decision computations depend on cortical circuits endowed with an abundance of positive and negative feedback loops, the behavior of which is not readily predictable by intuition alone.

    “Moreover, decision computations depend on cortical circuits endowed with an abundance of positive and negative feedback loops, the behavior of which is not readily predictable by intuition alone.”
  • The authors state this as an assumption.

    Synaptic learning depends on reward signals.

    “In addition, it is assumed that synaptic learning depends on reward signals, based on the observation that dopamine signal is known to gate”
    “In addition, it is assumed that synaptic learning depends on reward signals, based on the observation that dopamine signal is known to gate synaptic plasticity in the striatum (Wickens et al., 2003; Shen et al., 2008) and prefrontal cortex (Otani et al., 2003; Matsuda et al., 2006).”
  • The authors state this as an assumption.

    The strengths of the two synaptic connections cA and cB are plastic.

    “Suppose that the strengths of the two synaptic connections cA and cB are plastic, then synaptic modifications will alter the network decision behavior over time.”
  • The authors state this as an assumption.

    Synapses for inputs to decision neurons are potentiated only if the choice is rewarded, and depressed otherwise.

    “For instance, synapses for inputs to decision neurons are potentiated only if the choice is rewarded, and depressed otherwise.”
6 of 6

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?

Cites

Flagged first, then by citations

7 of the 213 references couldn’t be matched to a known paper.

Research works printed but not linked: 1

  1. Ewert, 1997, Neural correlates of key stimulus and releasing mechanism: a case study and two concepts, Trends Neurosci., 20, 332

Cited by

Sorted by citations

Authors
Wang, X.-J.
Affiliations
Yale University (US)
Corresponding author
Wang, Xiao-Jing
Venue
Neuron
Publisher
Elsevier BV
Published
2008-10
Volume
60
Issue
2
Pages
215-234
ISSN
0896-6273 (ISSN-L)
OpenAlex
W2169519447
Cited by
679
References
213
Citations by year
2026: 32 · 2025: 40 · 2024: 42 · 2023: 48 · 2022: 43 · 2021: 38 · 2020: 49 · 2019: 37 · 2018: 33 · 2017: 32 · 2016: 39 · 2015: 35 · 2014: 41 · 2013: 51 · 2012: 48
FWCI
1.77
Type
journal article
Language
en
Open access
Locations
  • Neuron (publishedVersion)
  • PubMed (publishedVersion)
  • PubMed Central (acceptedVersion)
Funders
  • Kavli Foundation
  • National Institutes of Health (2-R01-MH062349)
Topics
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Memory and Neural Mechanisms
  • Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neuropharmacology Research
Keywords
decision-making, attractor states, evidence accumulation, product inhibition, synaptic excitation, decision threshold, reaction time, perceptual decision making, probabilistic choice, social decision-making, choice behavior
MeSH terms
Animals, Brain, Decision Making, Humans, Nerve Net, Neural Inhibition, Neural Pathways, Synaptic Transmission, Neuronal Plasticity, Neurons, Models, Statistical

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 2026-10-10.

Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-10.

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.

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