Coherent Infomax as a Computational Goal for Neural Systems

• Published in: Bulletin of mathematical biology Vol. 73; no. 2; pp. 344 - 372
• Main Authors: Kay, Jim W, Phillips, W. A
• Format: Journal Article
• Language: English
• Published: New York New York : Springer-Verlag 01.02.2011; Springer-Verlag; Springer Nature B.V
• Subjects: Algorithms; Animals; Bayes Theorem; Cell Biology; Cerebral Cortex - physiology; Humans; Information Theory; Life Sciences; Mathematical and Computational Biology; Mathematics; Mathematics and Statistics; Models, Neurological; Monte Carlo Method; Nerve Net - physiology; Neuronal Plasticity - physiology; Normal Distribution; Original Article; Probability; Statistics, Nonparametric; Synapses - physiology; Synaptic Transmission - physiology; Neural coding; Contextual modulation; Neural networks; Synaptic plasticity; Dynamic coordination; Learning rules; Coherent Infomax; Bayesian analysis; Information theory
• ISSN: 0092-8240; 1522-9602; 1522-9602
• DOI: 10.1007/s11538-010-9564-x

Signal processing in the cerebral cortex is thought to involve a common multi-purpose algorithm embodied in a canonical cortical micro-circuit that is replicated many times over both within and across cortical regions. Operation of this algorithm produces widely distributed but coherent and relevant patterns of activity. The theory of Coherent Infomax provides a formal specification of the objectives of such an algorithm. It also formally derives specifications for both the short-term processing dynamics and for the learning rules whereby the connection strengths between units in the network can be adapted to the environment in which the system finds itself. A central assumption of the theory is that the local processors can combine reliable signal coding with flexible use of those codes because they have two classes of synaptic connection: driving connections which specify the information content of the neural signals, and contextual connections which modulate that signal processing. Here, we make the biological relevance of this theory more explicit by putting more emphasis upon the contextual guidance of ongoing processing, by showing that Coherent Infomax is consistent with a particular Bayesian interpretation for the contextual guidance of learning and processing, by explicitly specifying rules for on-line learning, and by suggesting approximations by which the learning rules can be made computationally feasible within systems composed of very many local processors.