Abstract

Active inference is a corollary of the Free Energy Principle that prescribes how self-organizing biological agents interact with their environment. The study of active inference processes relies on the definition of a generative probabilistic model and a description of how a free energy functional is minimized by neuronal message passing under that model. This paper presents a tutorial introduction to specifying active inference processes by Forney-style factor graphs (FFG). The FFG framework provides both an insightful representation of the probabilistic model and a biologically plausible inference scheme that, in principle, can be automatically executed in a computer simulation. As an illustrative example, we present an FFG for a deep temporal active inference process. The graph clearly shows how policy selection by expected free energy minimization results from free energy minimization per se, in an appropriate generative policy model.

Highlights

  • Active inference is a corollary of the Free Energy Principle (FEP)

  • We have presented a graphical process theory for studying message passing-based surprise minimization in neural circuits

  • Forney-style factor graphs enjoy already a solid reputation in the coding branches of the information theory community. We think that these graphical models are eminently suited to support the study of active inference processing in complex neural circuits

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Summary

A Factor Graph Description of Deep Temporal Active Inference

Active inference is a corollary of the Free Energy Principle that prescribes how self-organizing biological agents interact with their environment. The study of active inference processes relies on the definition of a generative probabilistic model and a description of how a free energy functional is minimized by neuronal message passing under that model. This paper presents a tutorial introduction to specifying active inference processes by Forney-style factor graphs (FFG). The FFG framework provides both an insightful representation of the probabilistic model and a biologically plausible inference scheme that, in principle, can be automatically executed in a computer simulation. We present an FFG for a deep temporal active inference process. The graph clearly shows how policy selection by expected free energy minimization results from free energy minimization per se, in an appropriate generative policy model.

INTRODUCTION
Free energy minimization
PROBABILISTIC MODELING WITH FACTOR GRAPHS
Forney-Style Factor Graphs
Variational Message Passing
LINEAR DYNAMICAL SYSTEMS AND KALMAN FILTERING
Model Specification
Kalman Filtering by Message Passing
Dynamical Systems with Control Signals
HIERARCHICAL DYNAMICAL SYSTEMS
Inference
DEEP TEMPORAL ACTIVE INFERENCE
Inference in the Deep Temporal Active Inference Model
DISCUSSION
CONCLUSIONS
Full Text
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