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How does the Gibbs model work?

Statistical ensemble

Probability distribution

Parameterized complexity

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The Gibbs model is a generative model used for clustering ensemble problems. It aims to output a clustering that minimizes the average distance to the input clusterings. The model is parameterized by a center clustering and a scale parameter. The probability of a particular clustering is determined by its scaled Rand distance to the center clustering, with a decay that follows an exponential function. The model has several interesting properties and can be used for sampling and reconstruction. The combinatorial structure of the Gibbs model for clusterings is more intricate and challenging than the corresponding model for permutations.

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Open access•Journal Article•DOI The Gibbs-plaid biclustering model Thierry Chekouo, Alejandro Murua, Wolfgang Raffelsberger - Show less +2 more 01 Sep 2015-The Annals of Applied Statistics 8 Citations	The Gibbs-plaid model assumes a prior dependency between genes and conditions through a stochastic relational graph and estimates the posterior distribution of bicluster membership labels using a stochastic algorithm.
Open access•Proceedings Article•DOI The Gibbs-Rand Model Flavio Chierichetti, Ravi Kumar, Silvio Lattanzi - Show less +2 more 12 Jun 2022	The Gibbs model for clustering ensembles is parameterized by a center clustering and a scale parameter, and the probability of a clustering decays exponentially with its scaled Rand distance to the center clustering.
Open access•Journal Article•DOI The Gibbs-plaid biclustering model Thierry Chekouo, Alejandro Murua, Wolfgang Raffelsberger - Show less +2 more 17 Nov 2015-arXiv: Applications 4 Citations	The Gibbs-plaid model assumes a prior dependency between genes/conditions through a stochastic relational graph and estimates the posterior distribution of bicluster membership labels using a stochastic algorithm.
Proceedings Article•DOI Modeling by Gibbs method of processes in equipment for enrichment and separation of mineral resources Sardaana R. Krylatova, Boris V. Yakovlev - Show less +1 more 13 Nov 2018 1 Citations	The Gibbs model uses a statistical approach to determine the probability distribution of particle locations in equipment for mineral resource enrichment and separation.

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