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Reward Maximization Through Discrete Active Inference.

Lancelot Da Costa1, Noor Sajid2, Thomas Parr3

  • 1Department of Mathematics, Imperial College London, London SW7 2AZ, U.K. l.da-costa@imperial.ac.uk.

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Summary
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Active inference agents can achieve reward maximization by minimizing free energy. A recursive active inference scheme ensures Bellman optimal actions across all planning horizons, linking it to reinforcement learning.

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Area of Science:

  • Computational neuroscience
  • Artificial intelligence
  • Reinforcement learning

Background:

  • Active inference is a probabilistic framework for agent behavior modeling, based on minimizing free energy.
  • It has shown success in reward maximization tasks, rivaling other methods.
  • Understanding its connection to reward maximization is crucial for agent design.

Purpose of the Study:

  • To clarify the conditions under which active inference agents perform reward-maximizing actions.
  • To demonstrate how active inference relates to the Bellman equation in reinforcement learning.
  • To compare standard and recursive active inference schemes for optimal control.

Main Methods:

  • Analysis of active inference under partially observed Markov decision processes.
  • Demonstration of conditions for Bellman optimality in active inference.
  • Comparison of standard active inference with a recursive (sophisticated inference) scheme.

Main Results:

  • Standard active inference yields Bellman optimal actions only for a planning horizon of 1.
  • Recursive active inference can achieve Bellman optimal actions for any finite temporal horizon.
  • The study elucidates the conditions for active inference to produce reward-optimal behavior.

Conclusions:

  • Active inference can be reconciled with reward maximization principles.
  • Recursive active inference offers a more general solution for optimal control compared to standard active inference.
  • This work bridges active inference and reinforcement learning, highlighting their interconnectedness.