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framework:marginal-free-energy-approximationMarginal Free Energy Approximation
Biologically plausible approximation lying between mean-field and Bethe approximations.
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- The marginal free energy currently stands as the most biologically plausible approximation.claim0.838Evaluation of various free energy approximations, Section 4.2.
- Expected entropy of outcomes given states; resolved by selecting states that yield unambiguous outcomes.
- A foundational variational principle from statistical physics that formalizes how self-organizing systems maintain structural integrity and adapt to their environment by minimizing free energy—a mathematical bound on surprise or prediction error. Originally developed by Karl Friston, the framework unifies action, perception, and learning as processes of active inference, where systems both update internal models of the world and act upon it to reduce the divergence between predictions and observations.
- Expected log likelihood of data under posterior beliefs; measures fit to observations.
- Minimizing expected free energy for planning, decision-making, and action selection.
- Thermodynamic potential ΔF = ΔE − TΔS; domain walls form if ΔF < 0
- Physical quantity sharing same minimum as variational free energy (via Jarzynski equality); proxy for computational cost
- KL divergence between predicted and preferred final states or outcomes.