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Related Concept Videos

An Introduction to Free Energy01:05

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How can we compare the energy that releases from one reaction to that of another reaction? We use a measurement of free energy to quantitate these energy transfers. Scientists call this free energy Gibbs free energy (abbreviated with the letter G) after Josiah Willard Gibbs, the scientist who developed the measurement. According to the second law of thermodynamics, all energy transfers involve losing some energy in an unusable form such as heat, resulting in entropy. Gibbs free energy...
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Related Experiment Video

Updated: Mar 6, 2026

A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions
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A tutorial on the free-energy framework for modelling perception and learning.

Rafal Bogacz1

  • 1MRC Unit for Brain Network Dynamics, University of Oxford, Mansfield Road, Oxford, OX1 3TH, UK.

Journal of Mathematical Psychology
|March 17, 2017
PubMed
Summary
This summary is machine-generated.

This tutorial explains Friston's free-energy framework for perception modeling, extending predictive coding. It details how neural networks can perform sensory inference and learning using Hebbian plasticity.

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Area of Science:

  • Computational neuroscience
  • Cognitive science
  • Machine learning

Background:

  • Predictive coding models, like Rao and Ballard's, explain sensory inference.
  • The sensory cortex infers stimulus features from noisy neural inputs.
  • Biological plausibility of these models is a key consideration.

Purpose of the Study:

  • To provide an accessible tutorial on Friston's free-energy framework.
  • To extend the predictive coding model for perception.
  • To detail the implementation of inference and learning in neural networks.

Main Methods:

  • Step-by-step derivations of the free-energy model.
  • Illustrative examples for clarity.
  • Discussion of biological neural circuit implementation.

Main Results:

  • The free-energy framework offers a unified approach to perception and learning.
  • Models demonstrate inference via simple computational elements, suggesting neural network implementation.
  • Hebbian learning rules are used for synaptic plasticity, updating feature parameters and uncertainty.

Conclusions:

  • The free-energy framework provides a powerful, biologically plausible model for perception.
  • It unifies inference and learning mechanisms within neural systems.
  • An extended model highlights simplified neuronal summation and synaptic plasticity rules.