teleo-codex/inbox/archive/2020-12-00-da-costa-active-inference-discrete-state-spaces.md
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type source_id title authors publication year volume url processed_date status claims_extracted
source da-costa-2020-active-inference Active inference on discrete state-spaces: A synthesis
Lancelot Da Costa
Thomas Parr
Noor Sajid
Sebastijan Veselic
Victorita Neacsu
Karl Friston
Journal of Mathematical Psychology 2020 99 https://doi.org/10.1016/j.jmp.2020.102447 2025-01-01 processed
ai-alignment-001
ai-alignment-002

Source Summary

Da Costa et al. (2020) provide a comprehensive mathematical synthesis of active inference for discrete state-space models. The paper demonstrates that expected free energy (EFE) unifies previously separate objectives in decision theory: information gain (exploration), expected utility (exploitation), risk-sensitivity, and KL-control.

Key contributions:

  1. Complete mathematical formulation of active inference for categorical state spaces
  2. Proof that EFE subsumes information gain, expected utility, and other decision-theoretic objectives
  3. Discrete-state formulation using matrix operations over categorical distributions

The discrete formulation is particularly relevant for systems with categorical states and actions, though application to specific domains like knowledge base architecture remains speculative and would require addressing challenges in generative model specification and computational tractability.

Extraction Notes

  • Theoretical unification is well-established in the paper
  • Application to KB systems is our inference, not claimed by authors
  • Implementation challenges (model specification, computational tractability) not addressed in source