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University of Cambridge

Models of sensory coding

Abstract

dc:description.abstract

This work is aimed at understanding and modelling some of the general computational principles of sensory information processing in the brain. The sensory system detects physical quantities of the environment and transforms them into internal representations on which behavioural decisions are based. The properties that make a representation useful are discussed, and ways in which the sensory system may form such representations from a complex array of receptor signals are considered. The brain needs extensive knowledge about the statistical structure of the sensory environment for the interpretation of sensory signals. The acquisition and use of such knowledge are studied using models consisting of networks of simple processing units with properties that are believed to be functionally essential in biological neurons. As the information processing capacity of these networks is due to the adaptive, modifiable connections between the units, the rules governing the activity-dependent modification of these connections are studied. One class of such ‘learning rules’, local learning rules, are particularly important for understanding the nervous system. Specific hypotheses about the form of these rules are studied in four ‘unsupervised’ learning tasks, in which the goal is not to implement a mapping between a predefined set of given input and output patterns, but to discover statistical structure in the input distribution without external guidance or supervision: 1 - An ‘anti-Hebbian’ synaptic modification rule is demonstrated to be able to adaptively form an uncorrelated representation of the correlated input signal. This mechanism can match the distribution of input patterns to the actual signalling space of the representation units, achieving information-theoretically optimal signal on noisy units. An uncorrelated, equal variance signal also makes optimally efficient least-mean- square error correcting learning possible. 2 - A combination of Hebbian and anti-Hebbian connections is demonstrated to implement a form of the statistical method of Principal Component Analysis, which reduces the dimensionality of a noisy Gaussian signal while maximising the information content of the representation, even when the units themselves are noisy. 3 - A similar arrangement of biologically more plausible, nonlinear units is shown to be able to adaptively code inputs into a sparse representation, substantially reducing the higher-order statistical redundancy of the representation without considerable loss of information. Such a representation is advantageous if it is to be used in further associative learning stages. 4 - A Hebbian rule modified by a trace mechanism is studied, that allows processing units to respond in a way which is invariant with respect to commonly occurring transformations of the input signal.

Degree

thesis:*
Name dc:type.qualificationname
Doctor of Philosophy (PhD)
Level dc:type.qualificationlevel
Doctoral
Grantor dc:publisher.institution
University of Cambridge
Year dc:date.issued
1991

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Foldiak, Peter

Rights

dc:rights

Identifiers

dc:identifier.*
DOI dc:identifier.doi
https://doi.org/10.17863/CAM.122988
OAI identifier oai:identifier
oai:www.repository.cam.ac.uk:1810/392204

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Cambridge University
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Last updated
2026-07-22
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citation

Foldiak, Peter. Models of sensory coding. Doctoral thesis, University of Cambridge, 1991. https://doi.org/10.17863/CAM.122988