Circular belief propagation for approximate probabilistic inference

V Bouttier, R Jardri, S Deneve - arXiv preprint arXiv:2403.12106, 2024 - arxiv.org
Belief Propagation (BP) is a simple probabilistic inference algorithm, consisting of passing
messages between nodes of a graph representing a probability distribution. Its analogy with …

Adaptive belief propagation

G Papachristoudis, J Fisher - International Conference on …, 2015 - proceedings.mlr.press
Graphical models are widely used in inference problems. In practice, one may construct a
single large-scale model to explain a phenomenon of interest, which may be utilized in a …

α belief propagation as fully factorized approximation

D Liu, NN Moghadam, LK Rasmussen… - 2019 IEEE Global …, 2019 - ieeexplore.ieee.org
Belief propagation (BP) can do exact inference in loop-free graphs, but its performance
could be poor in graphs with loops, and the understanding of its solution is limited. This work …

Fast convergence of belief propagation to global optima: Beyond correlation decay

F Koehler - Advances in Neural Information Processing …, 2019 - proceedings.neurips.cc
Belief propagation is a fundamental message-passing algorithm for probabilistic reasoning
and inference in graphical models. While it is known to be exact on trees, in most …

A visual introduction to Gaussian belief propagation

J Ortiz, T Evans, AJ Davison - arXiv preprint arXiv:2107.02308, 2021 - arxiv.org
In this article, we present a visual introduction to Gaussian Belief Propagation (GBP), an
approximate probabilistic inference algorithm that operates by passing messages between …

Generalized belief propagation

JS Yedidia, W Freeman… - Advances in neural …, 2000 - proceedings.neurips.cc
Belief propagation (BP) was only supposed to work for tree-like networks but works
surprisingly well in many applications involving networks with loops, including turbo codes …

Message scheduling methods for belief propagation

C Knoll, M Rath, S Tschiatschek, F Pernkopf - Machine Learning and …, 2015 - Springer
Approximate inference in large and densely connected graphical models is a challenging
but highly relevant problem. Belief propagation, as a method for performing approximate …

Regularized Gaussian belief propagation with nodes of arbitrary size

F Kamper, SJ Steel, JA Du Preez - Journal of Machine Learning Research, 2020 - jmlr.org
Gaussian belief propagation (GaBP) is a message-passing algorithm that can be used to
perform approximate inference on a pairwise Markov graph (MG) constructed from a …

The Linearization of Belief Propagation on Pairwise Markov Networks

W Gatterbauer - arXiv preprint arXiv:1502.04956, 2015 - arxiv.org
Belief Propagation (BP) is a widely used approximation for exact probabilistic inference in
graphical models, such as Markov Random Fields (MRFs). In graphs with cycles, however …

Reliable Belief Propagation: Recent Theoretical and Practical Advances

C Knoll, F Pernkopf - … Workshop on Machine Learning for Signal …, 2023 - ieeexplore.ieee.org
Belief propagation (BP) is an effective approximate inference method but lacks theoretical
guarantees for loopy graphs. We discuss the optimization landscape and the message …