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Learning the Markov network structure from data is a problem that has received considerable attention in machine learning, and in many other application fields. This work focuses on a particular approach for this purpose called…

Artificial Intelligence · Computer Science 2013-07-16 Alejandro Edera , Federico Schlüter , Facundo Bromberg

Markov networks are popular models for discrete multivariate systems where the dependence structure of the variables is specified by an undirected graph. To allow for more expressive dependence structures, several generalizations of Markov…

Methodology · Statistics 2021-03-30 Johan Pensar , Henrik Nyman , Jukka Corander

We investigate the problem of learning the structure of a Markov network from data. It is shown that the structure of such networks can be described in terms of constraints which enables the use of existing solver technology with…

Artificial Intelligence · Computer Science 2013-10-04 Jukka Corander , Tomi Janhunen , Jussi Rintanen , Henrik Nyman , Johan Pensar

A Markov network characterizes the conditional independence structure, or Markov property, among a set of random variables. Existing work focuses on specific families of distributions (e.g., exponential families) and/or certain structures…

Machine Learning · Computer Science 2023-05-22 Yujia Zheng , Ignavier Ng , Yewen Fan , Kun Zhang

This work reports the most relevant technical aspects in the problem of learning the \emph{Markov network structure} from data. Such problem has become increasingly important in machine learning, and many other application fields of machine…

Artificial Intelligence · Computer Science 2013-11-21 Federico Schlüter

In this paper, we propose a simple, versatile model for learning the structure and parameters of multivariate distributions from a data set. Learning a Markov network from a given data set is not a simple problem, because Markov networks…

Machine Learning · Computer Science 2012-06-19 Kazuya Takabatake , Shotaro Akaho

Several approaches to graphically representing context-specific relations among jointly distributed categorical variables have been proposed, along with structure learning algorithms. While existing optimization-based methods have limited…

Machine Learning · Statistics 2024-10-17 Felix Leopoldo Rios , Alex Markham , Liam Solus

We present two algorithms for learning the structure of a Markov network from data: GSMN* and GSIMN. Both algorithms use statistical independence tests to infer the structure by successively constraining the set of structures consistent…

Machine Learning · Computer Science 2014-01-16 Facundo Bromberg , Dimitris Margaritis , Vasant Honavar

This paper studies a Markov network model for unbalanced data, aiming to solve the problems of classification bias and insufficient minority class recognition ability of traditional machine learning models in environments with uneven class…

Machine Learning · Computer Science 2025-02-06 Junliang Du , Shiyu Dou , Bohuan Yang , Jiacheng Hu , Tai An

We propose a new yet natural algorithm for learning the graph structure of general discrete graphical models (a.k.a. Markov random fields) from samples. Our algorithm finds the neighborhood of a node by sequentially adding nodes that…

Machine Learning · Statistics 2012-02-09 Praneeth Netrapalli , Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai

Markov networks are widely studied and used throughout multivariate statistics and computer science. In particular, the problem of learning the structure of Markov networks from data without invoking chordality assumptions in order to…

Machine Learning · Statistics 2025-12-29 Juri Kuronen , Jukka Corander , Johan Pensar

We explore a simple mathematical model of network computation, based on Markov chains. Similar models apply to a broad range of computational phenomena, arising in networks of computers, as well as in genetic, and neural nets, in social…

Information Retrieval · Computer Science 2009-04-18 Dusko Pavlovic

This work introduces the IB-score, a family of independence-based score functions for robust learning of Markov networks independence structures. Markov networks are a widely used graphical representation of probability distributions, with…

Artificial Intelligence · Computer Science 2015-03-17 Facundo Bromberg , Federico Schlüter

Recent research in decision theoretic planning has focussed on making the solution of Markov decision processes (MDPs) more feasible. We develop a family of algorithms for structured reachability analysis of MDPs that are suitable when an…

Artificial Intelligence · Computer Science 2013-04-24 Craig Boutilier , Ronen I. Brafman , Christopher W. Geib

Undirected probabilistic graphical models represent the conditional dependencies, or Markov properties, of a collection of random variables. Knowing the sparsity of such a graphical model is valuable for modeling multivariate distributions…

Machine Learning · Statistics 2023-02-28 Ricardo Baptista , Youssef Marzouk , Rebecca E. Morrison , Olivier Zahm

We consider the structure learning problem for graphical models that we call loosely connected Markov random fields, in which the number of short paths between any pair of nodes is small, and present a new conditional independence test…

Machine Learning · Statistics 2014-02-05 Rui Wu , R. Srikant , Jian Ni

The problem of learning forest-structured discrete graphical models from i.i.d. samples is considered. An algorithm based on pruning of the Chow-Liu tree through adaptive thresholding is proposed. It is shown that this algorithm is both…

Information Theory · Computer Science 2011-02-15 Vincent Y. F. Tan , Animashree Anandkumar , Alan S. Willsky

Structured prediction is a powerful framework for coping with joint prediction of interacting outputs. A central difficulty in using this framework is that often the correct label dependence structure is unknown. At the same time, we would…

Machine Learning · Computer Science 2013-09-27 Ofer Meshi , Elad Eban , Gal Elidan , Amir Globerson

We learn the structure of a Markov Network between two groups of random variables from joint observations. Since modelling and learning the full MN structure may be hard, learning the links between two groups directly may be a preferable…

Machine Learning · Statistics 2016-05-30 Song Liu , Taiji Suzuki , Masashi Sugiyama , Kenji Fukumizu

Despite the vast amount of information encoded in Knowledge Graphs (KGs), information about the class affiliation of entities remains often incomplete. Graph Convolutional Networks (GCNs) have been shown to be effective predictors of…

Artificial Intelligence · Computer Science 2024-12-30 Johannes Mäkelburg , Yiwen Peng , Mehwish Alam , Tobias Weller , Maribel Acosta
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