Mathematical Essays on Embodied Cognition
Insights from Information and Control Theories
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Beschreibung
This book provides a unique formal foundation for the development of statistical tools useful in the exploration of observational and experimental data related to embodied cognition. The asymptotic limit theorems of information and control theories can be used to construct statistical tools analogous to -- but different from -- regression models for the study of the often highly punctuated cognitive phenomena embedded in and hence influenced by a surrounding ecosystem of which the phenomena are themselves part. The book builds probability models based on those theorems that incorporate embodiment at a number of scales and levels of organization, ranging from the effects of stress on the immune system within a higher organism, through institutional (and machine) cognition under challenge from adversaries, to the failure of public health institutions under pathogen challenge. In distinct contrast to the existing literature, many detailed, worked-out examples provide templates for sophisticated readers to build their own model/tool constructs.
This book provides a unique formal foundation for the development of statistical tools useful in the exploration of observational and experimental data related to embodied cognition. The asymptotic limit theorems of information and control theories can be used to construct statistical tools analogous to -- but different from -- regression models for the study of the often highly punctuated cognitive phenomena embedded in and hence influenced by a surrounding ecosystem of which the phenomena are themselves part. The book builds probability models based on those theorems that incorporate embodiment at a number of scales and levels of organization, ranging from the effects of stress on the immune system within a higher organism, through institutional (and machine) cognition under challenge from adversaries, to the failure of public health institutions under pathogen challenge. In distinct contrast to the existing literature, many detailed, worked-out examples provide templates for sophisticated readers to build their own model/tool constructs.
Describes formal models of embodied cognition based on the asymptotic limit theorems of information and control theories Supplies templates for constructing new statistical tools Has many worked-out examples at and across different scales and levels of organization
Autor*in
Rodrick Wallace
Themen in »Mathematical Essays on Embodied Cognition«
Embodied Cognition Information Theory Control Theory Probability Model Statistical Tools Cognitive Dynamics Phase Transition Punctuated Dynamics Immune System Institutional Cognition Organized Conflict Pandemic Control Shannon Coding Theorem Shannon-McMillan Theorem Rate Distortion Theorem