Inhibitory Interneurons Decorrelate Excitatory Cells to Drive Sparse Code Formation in a Spiking Model of V1

Sparse coding models of natural scenes can account for several physiological properties of primary visual cortex (V1), including the shapes of simple cell receptive fields (RFs) and the highly kurtotic firing rates of V1 neurons. Current spiking network models of pattern learning and sparse coding require direct inhibitory connections between the excitatory simple cells, in conflict with the physiological distinction between excitatory (glutamatergic) and inhibitory (GABAergic) neurons (Dale's Law). At the same time, the computational role of inhibitory neurons in cortical microcircuit function has yet to be fully explained. Here we show that adding a separate population of inhibitory neurons to a spiking model of V1 provides conformance to Dale's Law, proposes a computational role for at least one class of interneurons, and accounts for certain observed physiological properties in V1. When trained on natural images, this excitatory–inhibitory spiking circuit learns a sparse code with Gabor-like RFs as found in V1 using only local synaptic plasticity rules. The inhibitory neurons enable sparse code formation by suppressing predictable spikes, which actively decorrelates the excitatory population. The model predicts that only a small number of inhibitory cells is required relative to excitatory cells and that excitatory and inhibitory input should be correlated, in agreement with experimental findings in visual cortex. We also introduce a novel local learning rule that measures stimulus-dependent correlations between neurons to support “explaining away” mechanisms in neural coding.

[1]  David J. Field,et al.  Sparse coding with an overcomplete basis set: A strategy employed by V1? , 1997, Vision Research.

[2]  W. Gerstner,et al.  Connectivity reflects coding: a model of voltage-based STDP with homeostasis , 2010, Nature Neuroscience.

[3]  Michael Robert DeWeese,et al.  A Sparse Coding Model with Synaptically Local Plasticity and Spiking Neurons Can Account for the Diverse Shapes of V1 Simple Cell Receptive Fields , 2011, PLoS Comput. Biol..

[4]  Joseph J. Atick,et al.  What Does the Retina Know about Natural Scenes? , 1992, Neural Computation.

[5]  D. Ferster Orientation selectivity of synaptic potentials in neurons of cat primary visual cortex , 1986, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[6]  K. Harris,et al.  Laminar Structure of Spontaneous and Sensory-Evoked Population Activity in Auditory Cortex , 2009, Neuron.

[7]  S. Nelson,et al.  Potentiation of cortical inhibition by visual deprivation , 2006, Nature.

[8]  Simon M. Stringer,et al.  Transformation-invariant visual representations in self-organizing spiking neural networks , 2012, Front. Comput. Neurosci..

[9]  D. Feldman Synaptic mechanisms for plasticity in neocortex. , 2009, Annual review of neuroscience.

[10]  Nicole L. Carlson,et al.  Sparse Codes for Speech Predict Spectrotemporal Receptive Fields in the Inferior Colliculus , 2012, PLoS Comput. Biol..

[11]  Y. Dan,et al.  Spike Timing-Dependent Plasticity of Neural Circuits , 2004, Neuron.

[12]  M. Stryker,et al.  Development and Plasticity of the Primary Visual Cortex , 2012, Neuron.

[13]  T. Hromádka,et al.  Sparse Representation of Sounds in the Unanesthetized Auditory Cortex , 2008, PLoS biology.

[14]  P. Somogyi,et al.  Synaptic connections of morphologically identified and physiologically characterized large basket cells in the striate cortex of cat , 1983, Neuroscience.

[15]  Jochen Triesch,et al.  Independent Component Analysis in Spiking Neurons , 2010, PLoS Comput. Biol..

[16]  E. Oja Simplified neuron model as a principal component analyzer , 1982, Journal of mathematical biology.

[17]  J L Gallant,et al.  Sparse coding and decorrelation in primary visual cortex during natural vision. , 2000, Science.

[18]  F. Attneave Some informational aspects of visual perception. , 1954, Psychological review.

[19]  M. Scanziani,et al.  How Inhibition Shapes Cortical Activity , 2011, Neuron.

[20]  Konrad P. Körding,et al.  Sparse Spectrotemporal Coding of Sounds , 2003, EURASIP J. Adv. Signal Process..

[21]  J. Eccles From electrical to chemical transmission in the central nervous system: The closing address of the Sir Henry Dale Centennial Symposium Cambridge, 19 September 1975 , 1976, Notes and Records of the Royal Society of London.

[22]  G. Turrigiano Too many cooks? Intrinsic and synaptic homeostatic mechanisms in cortical circuit refinement. , 2011, Annual review of neuroscience.

[23]  Alexander S. Ecker,et al.  Decorrelated Neuronal Firing in Cortical Microcircuits , 2010, Science.

[24]  Michael W. Spratling Predictive Coding as a Model of Response Properties in Cortical Area V1 , 2010, The Journal of Neuroscience.

[25]  S. Denéve,et al.  Neural processing as causal inference , 2011, Current Opinion in Neurobiology.

[26]  Eero P. Simoncelli,et al.  Efficient coding of natural images with a population of noisy Linear-Nonlinear neurons , 2011, NIPS.

[27]  Emilio Salinas,et al.  Vector reconstruction from firing rates , 1994, Journal of Computational Neuroscience.

[28]  M. Carandini,et al.  Orientation tuning of input conductance, excitation, and inhibition in cat primary visual cortex. , 2000, Journal of neurophysiology.

[29]  Daniel J. Graham,et al.  Sparse Coding in the Neocortex , 2007 .

[30]  A. Burkhalter,et al.  Connectivity of GABAergic calretinin-immunoreactive neurons in rat primary visual cortex. , 1999, Cerebral cortex.

[31]  S. Laughlin A Simple Coding Procedure Enhances a Neuron's Information Capacity , 1981, Zeitschrift fur Naturforschung. Section C, Biosciences.

[32]  Timothée Masquelier,et al.  Relative spike time coding and STDP-based orientation selectivity in the early visual system in natural continuous and saccadic vision: a computational model , 2011, Journal of Computational Neuroscience.

[33]  William Bialek,et al.  Spikes: Exploring the Neural Code , 1996 .

[34]  Zhaoping Li,et al.  Understanding Auditory Spectro-Temporal Receptive Fields and Their Changes with Input Statistics by Efficient Coding Principles , 2011, PLoS Comput. Biol..

[35]  David J. Field,et al.  Emergence of simple-cell receptive field properties by learning a sparse code for natural images , 1996, Nature.

[36]  M. DeWeese,et al.  Binary Spiking in Auditory Cortex , 2003, The Journal of Neuroscience.

[37]  Jose-Manuel Alonso,et al.  Functionally distinct inhibitory neurons at the first stage of visual cortical processing , 2003, Nature Neuroscience.

[38]  Laurent U. Perrinet,et al.  Role of Homeostasis in Learning Sparse Representations , 2007, Neural Computation.

[39]  D. Ferster,et al.  Neural mechanisms of orientation selectivity in the visual cortex. , 2000, Annual review of neuroscience.

[40]  H. Markram,et al.  Interneurons of the neocortical inhibitory system , 2004, Nature Reviews Neuroscience.

[41]  T. Hensch Critical period plasticity in local cortical circuits , 2005, Nature Reviews Neuroscience.

[42]  Henry J. Alitto,et al.  Function of inhibition in visual cortical processing , 2010, Current Opinion in Neurobiology.

[43]  Li I. Zhang,et al.  Broad Inhibition Sharpens Orientation Selectivity by Expanding Input Dynamic Range in Mouse Simple Cells , 2011, Neuron.

[44]  A. Thomson,et al.  Functional Maps of Neocortical Local Circuitry , 2007, Front. Neurosci..

[45]  P. Földiák,et al.  Forming sparse representations by local anti-Hebbian learning , 1990, Biological Cybernetics.

[46]  H. B. Barlow,et al.  Possible Principles Underlying the Transformations of Sensory Messages , 2012 .

[47]  R. Reid,et al.  Broadly Tuned Response Properties of Diverse Inhibitory Neuron Subtypes in Mouse Visual Cortex , 2010, Neuron.

[48]  Michael S. Lewicki,et al.  Efficient auditory coding , 2006, Nature.

[49]  Paul Hasler,et al.  Sparse approximation on a network of locally competitive integrate and fire neurons , 2011 .

[50]  Richard G. Baraniuk,et al.  Sparse Coding via Thresholding and Local Competition in Neural Circuits , 2008, Neural Computation.

[51]  Matthew R. Krause,et al.  Synaptic and Network Mechanisms of Sparse and Reliable Visual Cortical Activity during Nonclassical Receptive Field Stimulation , 2010, Neuron.

[52]  R C Reid,et al.  Efficient Coding of Natural Scenes in the Lateral Geniculate Nucleus: Experimental Test of a Computational Theory , 1996, The Journal of Neuroscience.

[53]  Alex M Thomson,et al.  Robust correlations between action potential duration and the properties of synaptic connections in layer 4 interneurones in neocortical slices from juvenile rats and adult rat and cat , 2007, The Journal of physiology.

[54]  P. Somogyi,et al.  Differentially Interconnected Networks of GABAergic Interneurons in the Visual Cortex of the Cat , 1998, The Journal of Neuroscience.

[55]  G. Bi,et al.  Synaptic Modifications in Cultured Hippocampal Neurons: Dependence on Spike Timing, Synaptic Strength, and Postsynaptic Cell Type , 1998, The Journal of Neuroscience.

[56]  E. Callaway,et al.  Excitatory cortical neurons form fine-scale functional networks , 2005, Nature.

[57]  Martin Rehn,et al.  A network that uses few active neurones to code visual input predicts the diverse shapes of cortical receptive fields , 2007, Journal of Computational Neuroscience.

[58]  D. Tolhurst,et al.  The Sparseness of Neuronal Responses in Ferret Primary Visual Cortex , 2009, The Journal of Neuroscience.

[59]  L. Abbott,et al.  Synaptic plasticity: taming the beast , 2000, Nature Neuroscience.

[60]  Timothée Masquelier,et al.  Competitive STDP-Based Spike Pattern Learning , 2009, Neural Computation.

[61]  P. Rakić,et al.  Changes of synaptic density in the primary visual cortex of the macaque monkey from fetal to adult stage , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[62]  Bruno A. Olshausen,et al.  Learning real and complex overcomplete representations from the statistics of natural images , 2009, Optical Engineering + Applications.

[63]  U. Ernst,et al.  Perceptual Inference Predicts Contextual Modulations of Sensory Responses , 2012, The Journal of Neuroscience.

[64]  S. Laughlin Energy as a constraint on the coding and processing of sensory information , 2001, Current Opinion in Neurobiology.

[65]  Terrence J. Sejnowski,et al.  The “independent components” of natural scenes are edge filters , 1997, Vision Research.

[66]  J. Gallant,et al.  Natural Stimulation of the Nonclassical Receptive Field Increases Information Transmission Efficiency in V1 , 2002, The Journal of Neuroscience.

[67]  D. Heeger Normalization of cell responses in cat striate cortex , 1992, Visual Neuroscience.

[68]  P. Lennie The Cost of Cortical Computation , 2003, Current Biology.

[69]  Rajesh P. N. Rao,et al.  Predictive coding in the visual cortex: a functional interpretation of some extra-classical receptive-field effects. , 1999 .

[70]  R. Shapley,et al.  A neuronal network model of macaque primary visual cortex (V1): orientation selectivity and dynamics in the input layer 4Calpha. , 2000, Proceedings of the National Academy of Sciences of the United States of America.