Encoding Through Patterns: Regression Tree–Based Neuronal Population Models

Although the existence of correlated spiking between neurons in a population is well known, the role such correlations play in encoding stimuli is not. We address this question by constructing pattern-based encoding models that describe how time-varying stimulus drive modulates the expression probab...

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Main Authors: Pipa, Gordon, Lewis, Laura D., Nikolić, Danko, Williams, Ziv, Brown, Emery N., Haslinger, Robert Heinz
Other Authors: Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
Format: Article
Language:en_US
Published: MIT Press 2013
Online Access:http://hdl.handle.net/1721.1/79748
https://orcid.org/0000-0001-6888-5448
https://orcid.org/0000-0003-2668-7819
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author Pipa, Gordon
Lewis, Laura D.
Nikolić, Danko
Williams, Ziv
Brown, Emery N.
Haslinger, Robert Heinz
author2 Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
author_facet Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
Pipa, Gordon
Lewis, Laura D.
Nikolić, Danko
Williams, Ziv
Brown, Emery N.
Haslinger, Robert Heinz
author_sort Pipa, Gordon
collection MIT
description Although the existence of correlated spiking between neurons in a population is well known, the role such correlations play in encoding stimuli is not. We address this question by constructing pattern-based encoding models that describe how time-varying stimulus drive modulates the expression probabilities of population-wide spike patterns. The challenge is that large populations may express an astronomical number of unique patterns, and so fitting a unique encoding model for each individual pattern is not feasible. We avoid this combinatorial problem using a dimensionality-reduction approach based on regression trees. Using the insight that some patterns may, from the perspective of encoding, be statistically indistinguishable, the tree divisively clusters the observed patterns into groups whose member patterns possess similar encoding properties. These groups, corresponding to the leaves of the tree, are much smaller in number than the original patterns, and the tree itself constitutes a tractable encoding model for each pattern. Our formalism can detect an extremely weak stimulus-driven pattern structure and is based on maximizing the data likelihood, not making a priori assumptions as to how patterns should be grouped. Most important, by comparing pattern encodings with independent neuron encodings, one can determine if neurons in the population are driven independently or collectively. We demonstrate this method using multiple unit recordings from area 17 of anesthetized cat in response to a sinusoidal grating and show that pattern-based encodings are superior to those of independent neuron models. The agnostic nature of our clustering approach allows us to investigate encoding by the collective statistics that are actually present rather than those (such as pairwise) that might be presumed.
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spelling mit-1721.1/797482022-10-01T00:23:22Z Encoding Through Patterns: Regression Tree–Based Neuronal Population Models Pipa, Gordon Lewis, Laura D. Nikolić, Danko Williams, Ziv Brown, Emery N. Haslinger, Robert Heinz Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences Lewis, Laura D. Brown, Emery N. Haslinger, Robert Heinz Although the existence of correlated spiking between neurons in a population is well known, the role such correlations play in encoding stimuli is not. We address this question by constructing pattern-based encoding models that describe how time-varying stimulus drive modulates the expression probabilities of population-wide spike patterns. The challenge is that large populations may express an astronomical number of unique patterns, and so fitting a unique encoding model for each individual pattern is not feasible. We avoid this combinatorial problem using a dimensionality-reduction approach based on regression trees. Using the insight that some patterns may, from the perspective of encoding, be statistically indistinguishable, the tree divisively clusters the observed patterns into groups whose member patterns possess similar encoding properties. These groups, corresponding to the leaves of the tree, are much smaller in number than the original patterns, and the tree itself constitutes a tractable encoding model for each pattern. Our formalism can detect an extremely weak stimulus-driven pattern structure and is based on maximizing the data likelihood, not making a priori assumptions as to how patterns should be grouped. Most important, by comparing pattern encodings with independent neuron encodings, one can determine if neurons in the population are driven independently or collectively. We demonstrate this method using multiple unit recordings from area 17 of anesthetized cat in response to a sinusoidal grating and show that pattern-based encodings are superior to those of independent neuron models. The agnostic nature of our clustering approach allows us to investigate encoding by the collective statistics that are actually present rather than those (such as pairwise) that might be presumed. National Institutes of Health (U.S.) (Grant K25 NS052422-02) 2013-07-31T19:34:54Z 2013-07-31T19:34:54Z 2013-08 2012-04 Article http://purl.org/eprint/type/JournalArticle 0899-7667 1530-888X http://hdl.handle.net/1721.1/79748 Haslinger, Robert et al. “Encoding Through Patterns: Regression Tree–Based Neuronal Population Models.” Neural Computation 25.8 (2013): 1953–1993. © 2013 Massachusetts Institute of Technology https://orcid.org/0000-0001-6888-5448 https://orcid.org/0000-0003-2668-7819 en_US http://dx.doi.org/10.1162/NECO_a_00464 Neural Computation Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf MIT Press MIT Press
spellingShingle Pipa, Gordon
Lewis, Laura D.
Nikolić, Danko
Williams, Ziv
Brown, Emery N.
Haslinger, Robert Heinz
Encoding Through Patterns: Regression Tree–Based Neuronal Population Models
title Encoding Through Patterns: Regression Tree–Based Neuronal Population Models
title_full Encoding Through Patterns: Regression Tree–Based Neuronal Population Models
title_fullStr Encoding Through Patterns: Regression Tree–Based Neuronal Population Models
title_full_unstemmed Encoding Through Patterns: Regression Tree–Based Neuronal Population Models
title_short Encoding Through Patterns: Regression Tree–Based Neuronal Population Models
title_sort encoding through patterns regression tree based neuronal population models
url http://hdl.handle.net/1721.1/79748
https://orcid.org/0000-0001-6888-5448
https://orcid.org/0000-0003-2668-7819
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