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Main Authors: Bagley, Bryce-Allen, Khoshnan, Navin
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.05580
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author Bagley, Bryce-Allen
Khoshnan, Navin
author_facet Bagley, Bryce-Allen
Khoshnan, Navin
contents The complexity of human cognition has meant that psychology makes more use of theory and conceptual models than perhaps any other biomedical field. To enable precise quantitative study of the full breadth of phenomena in psychological and psychiatric medicine as well as cognitive aspects of AI safety, there is a need for a mathematical formulation which is both mathematically precise and equally accessible to experts from numerous fields. In this paper we formalize human psychodynamics via the diagrammatic framework of process theory, describe its key properties, and explain the links between a diagrammatic representation and central concepts in analysis of cognitive processes in contexts such as psychotherapy, neurotechnology, AI alignment, AI agent representation of individuals in autonomous negotiations, developing human-like AI systems, and other aspects of AI safety.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05580
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Approximating the Mathematical Structure of Psychodynamics
Bagley, Bryce-Allen
Khoshnan, Navin
Neurons and Cognition
Computation and Language
Computers and Society
Human-Computer Interaction
18M35 (primary) 47N99, 47A50, 60H25, 68T37, 68T42, 81V99, 91C99, 91E10, 94A99 (secondary)
E.4; G.3; I.2.0; I.2.4; J.3; J.4
The complexity of human cognition has meant that psychology makes more use of theory and conceptual models than perhaps any other biomedical field. To enable precise quantitative study of the full breadth of phenomena in psychological and psychiatric medicine as well as cognitive aspects of AI safety, there is a need for a mathematical formulation which is both mathematically precise and equally accessible to experts from numerous fields. In this paper we formalize human psychodynamics via the diagrammatic framework of process theory, describe its key properties, and explain the links between a diagrammatic representation and central concepts in analysis of cognitive processes in contexts such as psychotherapy, neurotechnology, AI alignment, AI agent representation of individuals in autonomous negotiations, developing human-like AI systems, and other aspects of AI safety.
title Approximating the Mathematical Structure of Psychodynamics
topic Neurons and Cognition
Computation and Language
Computers and Society
Human-Computer Interaction
18M35 (primary) 47N99, 47A50, 60H25, 68T37, 68T42, 81V99, 91C99, 91E10, 94A99 (secondary)
E.4; G.3; I.2.0; I.2.4; J.3; J.4
url https://arxiv.org/abs/2511.05580