학술논문

On the Inherent Instability of Biocognition: Toward New Probability Models and Statistical Tools
Document Type
article
Source
Entropy, Vol 24, Iss 8, p 1070 (2022)
Subject
cognition
control theory
distortion
information theory
phase change
rate distortion function
Science
Astrophysics
QB460-466
Physics
QC1-999
Language
English
ISSN
1099-4300
Abstract
A central conundrum enshrouds biocognition: almost all such phenomena are inherently unstable and must be constantly controlled by external regulatory machinery to ensure proper function, in much the same sense that blood pressure and the ‘stream of consciousness’ require persistent delicate regulation for the survival of higher organisms. Here, we derive the Data Rate Theorem of control theory that characterizes such instability via the Rate Distortion Theorem of information theory for adiabatically stationary nonergodic systems. We then outline a novel approach to building new statistical tools for data analysis based on those theorems, focusing on groupoid symmetry-breaking phase transitions characterized by Fisher Zero analogs.