Variational Bayes

Mathematical framework for approximating posterior beliefs; converts exact Bayesian inference into optimization.

Neighborhood — ranked by edge-count

paper

framework

Free Energy Principle
implements
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.
Variational Message Passing
implements
Algorithm for approximate Bayesian inference based on mean-field approximation.

concept

free energy
associated_with
Thermodynamic potential ΔF = ΔE − TΔS; domain walls form if ΔF < 0

method

Belief Propagation
implements
Inference mechanism underlying active inference; updates posterior beliefs via gradient descent on free energy.
Belief Propagation Algorithm
implements
Message passing algorithm based on Bethe approximation.
Variational Message Passing Algorithm
implements
Message passing algorithm for approximate Bayesian inference using mean-field factorisation.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Variational Bayesian Inferenceframework0.838
A method for approximate Bayesian inference that optimizes a variational lower bound (ELBO) on log evidence.
variational filteringmethod0.767
Method to obtain time-dependent conditional densities by maximizing variational free energy.
Empirical Bayesframework0.761
Statistical framework underlying perceptual inference and learning scheme; enables hierarchical models of sensory generation.
Variational Ecologyframework0.757
Framework for physics of sentient systems; cited for understanding consciousness across substrates.
configurational variationconcept0.756
The vast variety of shapes and sizes in morphogenetic living forms, impossible under blueprint planning.
Variational Free Energy Minimizationmethod0.744
Minimizing variational free energy for perceptual inference and learning of model parameters.
variationconcept0.735
The subtle differences among repeated elements necessary to avoid mechanical uniformity.
Bayesian Mechanicsframework0.731