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Bayesian approaches to learn the graphical structure of Bayesian Belief Networks (BBNs) from databases share the assumption that the database is complete, that is, no entry is reported as unknown. Attempts to relax this assumption involve…

Artificial Intelligence · Computer Science 2013-02-08 Marco Ramoni , Paola Sebastiani

As one of the classic models that describe the belief dynamics over social networks, a non-Bayesian social learning model assumes that members in the network possess accurate signal knowledge through the process of Bayesian inference. In…

Social and Information Networks · Computer Science 2019-05-21 Sannyuya Liu , Zhonghua Yan , Xiufeng Cheng , Liang Zhao

This paper discusses causal independence models and a generalization of these models called causal interaction models. Causal interaction models are models that have independent mechanisms where a mechanism can have several causes. In…

Artificial Intelligence · Computer Science 2015-05-19 Christopher Meek , David Heckerman

Graphical models provide a powerful methodology for learning the conditional independence structure in multivariate data. Inference is often focused on estimating individual edges in the latent graph. Nonetheless, there is increasing…

Methodology · Statistics 2023-12-15 Willem van den Boom , Maria De Iorio , Alexandros Beskos

Bayesian networks (BN) are directed acyclic graphical (DAG) models that have been adopted into many fields for their strengths in transparency, interpretability, probabilistic reasoning, and causal modeling. Given a set of data, one hurdle…

Artificial Intelligence · Computer Science 2023-05-19 Christian D. Blakely

Learning controllable and generalizable representation of multivariate data with desired structural properties remains a fundamental problem in machine learning. In this paper, we present a novel framework for learning generative models…

Machine Learning · Computer Science 2020-10-05 Ruixiang Zhang , Masanori Koyama , Katsuhiko Ishiguro

Initial work on variational autoencoders assumed independent latent variables with simple distributions. Subsequent work has explored incorporating more complex distributions and dependency structures: including normalizing flows in the…

Machine Learning · Computer Science 2022-04-27 Jacobie Mouton , Steve Kroon

Real-life statistical samples are often plagued by selection bias, which complicates drawing conclusions about the general population. When learning causal relationships between the variables is of interest, the sample may be assumed to be…

Statistics Theory · Mathematics 2018-11-15 Angelos P. Armen , Robin J. Evans

In this paper we examine a novel addition to the known methods for learning Bayesian networks from data that improves the quality of the learned networks. Our approach explicitly represents and learns the local structure in the conditional…

Artificial Intelligence · Computer Science 2013-02-18 Nir Friedman , Moises Goldszmidt

This paper is part of a study whose goal is to show the effciency of using Bayes networks to carry out model based vision calculations. [Binford et al. 1987] Recognition proceeds by drawing up a network model from the object's geometric and…

Artificial Intelligence · Computer Science 2013-04-10 John Mark Agosta

Non-Bayesian social learning theory provides a framework that models distributed inference for a group of agents interacting over a social network. In this framework, each agent iteratively forms and communicates beliefs about an unknown…

Artificial Intelligence · Computer Science 2020-08-26 James Z. Hare , Cesar A. Uribe , Lance Kaplan , Ali Jadbabaie

Probabilistic graphical models combine the graph theory and probability theory to give a multivariate statistical modeling. They provide a unified description of uncertainty using probability and complexity using the graphical model.…

Machine Learning · Statistics 2011-11-30 Yang Zhou

Bayesian network structure learning algorithms with limited data are being used in domains such as systems biology and neuroscience to gain insight into the underlying processes that produce observed data. Learning reliable networks from…

Machine Learning · Statistics 2013-07-10 Diane Oyen , Terran Lane

Bipartite networks provide an effective resource for representing, characterizing, and modeling several abstract and real-world systems and structures involving binary relations, which include food webs, social interactions, and…

Social and Information Networks · Computer Science 2024-02-01 Alexandre Benatti , Luciano da F. Costa

One of the goals of probabilistic inference is to decide whether an empirically observed distribution is compatible with a candidate Bayesian network. However, Bayesian networks with hidden variables give rise to highly non-trivial…

Machine Learning · Statistics 2014-10-14 R. Chaves , L. Luft , T. O. Maciel , D. Gross , D. Janzing , B. Schölkopf

We study constraint-based structure learning of Markov networks and Bayesian networks in the presence of an unreliable conditional independence oracle that makes at most a bounded number of errors. For Markov networks, we observe that a low…

Machine Learning · Computer Science 2026-03-11 Juha Harviainen , Pekka Parviainen , Vidya Sagar Sharma

Bayesian sociality models provide a scalable and flexible alternative for network analysis, capturing degree heterogeneity through actor-specific parameters while mitigating the identifiability challenges of latent space models. This paper…

Methodology · Statistics 2025-03-20 Juan Sosa , Carlo Martínez

Though a belief network (a representation of the joint probability distribution, see [3]) and a causal network (a representation of causal relationships [14]) are intended to mean different things, they are closely related. Both assume an…

Artificial Intelligence · Computer Science 2017-05-30 Mieczysław Kłopotek

Traditional approaches to Bayes net structure learning typically assume little regularity in graph structure other than sparseness. However, in many cases, we expect more systematicity: variables in real-world systems often group into…

Machine Learning · Computer Science 2012-07-02 Vikash Mansinghka , Charles Kemp , Thomas Griffiths , Joshua Tenenbaum

Structure learning of Bayesian networks is an important problem that arises in numerous machine learning applications. In this work, we present a novel approach for learning the structure of Bayesian networks using the solution of an…

Machine Learning · Computer Science 2012-11-22 Tuhin Sahai , Stefan Klus , Michael Dellnitz