Mapping of Argmax i to e

There is a mapping of the most likely internal state to the most likely external state given a blanket state.

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Definition of most likely internal and external states given a blanket state: $e(b)={\text{argmax}}_{e}p(e|b)$ $i(b)={\text{argmax}}_{i}p(i|b)$ Definition of $\sigma$ to be the mapping that holds true to: $e(b)=\sigma (i(b))$

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Evidence

Supporting

Handle	Title	Summary of relevant evidence	Link
Millidge et al. 2021	A Mathematical Walkthrough and Discussion of the Free Energy Principle	p. 12

Counter

Handle	Title	Summary of relevant evidence	Link

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Connections

Follows, from the, and needs the Markov Blanket Condition leads to the creation of a Synchronisation Manifold Always exists in Linear OU Processes have Mappings Creates a space of distributions of internal states over external statesRepresentation Manifold

Assuming: Assuming injectivity between internal and blanket states Assuming the argmax is unique

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Metadata

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Sentence

Regular