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Approximating the Mathematical Structure of Psychodynamics

arXiv 2511.05580 ↗First posted 5 Nov 2025q-bio.NC cs.CL cs.CYcited by 0

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Abstract (arXiv)

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.

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References · 8

  1. 2021A Survey on Hyperdimensional Computing aka Vector Symbolic Architectures, Part I: Models and Data Transformationscited by 99
  2. 2021A Survey on Hyperdimensional Computing aka Vector Symbolic Architectures, Part II: Applications, Cognitive Models, and Challengescited by 69
  3. 2024On Targeted Manipulation and Deception when Optimizing LLMs for User Feedbackcited by 47
  4. 2025Be Friendly, Not Friends: How LLM Sycophancy Shapes User Trustcited by 34
  5. 2024The LLM Effect: Are Humans Truly Using LLMs, or Are They Being Influenced By Them Instead?cited by 14
  6. 2024Large Models of What? Mistaking Engineering Achievements for Human Linguistic Agencycited by 9
  7. 2020Cyberattacks on Miniature Brain Implants to Disrupt Spontaneous Neural Signalingcited by 3
  8. 2024A Mathematical Framework for the Problem of Security for Cognition in Neurotechnologycited by 1

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