Towards a mathematical theory of cortical micro-circuits.

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 mathema...

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Autores principales: Dileep George, Jeff Hawkins
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Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2009
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Acceso en línea:https://doaj.org/article/07980f398b8e4a48a79f176d5d06c9b3
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spelling oai:doaj.org-article:07980f398b8e4a48a79f176d5d06c9b32021-11-25T05:42:07ZTowards a mathematical theory of cortical micro-circuits.1553-734X1553-735810.1371/journal.pcbi.1000532https://doaj.org/article/07980f398b8e4a48a79f176d5d06c9b32009-10-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/19816557/pdf/?tool=EBIhttps://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358The 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.Dileep GeorgeJeff HawkinsPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 5, Iss 10, p e1000532 (2009)
institution DOAJ
collection DOAJ
language EN
topic Biology (General)
QH301-705.5
spellingShingle Biology (General)
QH301-705.5
Dileep George
Jeff Hawkins
Towards a mathematical theory of cortical micro-circuits.
description 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.
format article
author Dileep George
Jeff Hawkins
author_facet Dileep George
Jeff Hawkins
author_sort Dileep George
title Towards a mathematical theory of cortical micro-circuits.
title_short Towards a mathematical theory of cortical micro-circuits.
title_full Towards a mathematical theory of cortical micro-circuits.
title_fullStr Towards a mathematical theory of cortical micro-circuits.
title_full_unstemmed Towards a mathematical theory of cortical micro-circuits.
title_sort towards a mathematical theory of cortical micro-circuits.
publisher Public Library of Science (PLoS)
publishDate 2009
url https://doaj.org/article/07980f398b8e4a48a79f176d5d06c9b3
work_keys_str_mv AT dileepgeorge towardsamathematicaltheoryofcorticalmicrocircuits
AT jeffhawkins towardsamathematicaltheoryofcorticalmicrocircuits
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