Polytopes as vehicles of informational content in feedforward neural networks

Philosophical Psychology 29 (5):697-716 (2016)
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Abstract

Localizing content in neural networks provides a bridge to understanding the way in which the brain stores and processes information. In this paper, I propose the existence of polytopes in the state space of the hidden layer of feedforward neural networks as vehicles of content. I analyze these geometrical structures from an information-theoretic point of view, invoking mutual information to help define the content stored within them. I establish how this proposal addresses the problem of misclassification and provide a novel solution to the disjunction problem, which hinges on the precise nature of the causal-informational framework for content advocated herein.

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Feraz Azhar
University of Notre Dame

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References found in this work

Knowledge and the flow of information.F. Dretske - 1989 - Trans/Form/Ação 12:133-139.
A Mathematical Theory of Communication.Claude Elwood Shannon - 1948 - Bell System Technical Journal 27 (April 1924):379–423.
Semantics, wisconsin style.Jerry A. Fodor - 1984 - Synthese 59 (3):231-50.
Naturalising Representational Content.Nicholas Shea - 2013 - Philosophy Compass 8 (5):496-509.

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