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Causal learning from data has received much attention recently. Bayesian networks can be used to capture causal relationships. There, one recovers a weighted directed acyclic graph in which random variables are represented by vertices, and…

机器学习 · 计算机科学 2026-01-06 Pavel Rytir , Ales Wodecki , Georgios Korpas , Jakub Marecek

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

人工智能 · 计算机科学 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

The main goal of this paper is to describe a method for exact inference in general hybrid Bayesian networks (BNs) (with a mixture of discrete and continuous chance variables). Our method consists of approximating general hybrid Bayesian…

人工智能 · 计算机科学 2012-07-02 Prakash P. Shenoy

Bayesian networks (BNs) are a widely used class of probabilistic graphical models employed in numerous application domains. However, inferring the network's graphical structure from data remains challenging. Bayesian structure learners…

机器学习 · 计算机科学 2025-11-19 William Zhao , Guy Van den Broeck , Benjie Wang

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

人工智能 · 计算机科学 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Learning Bayesian networks is often cast as an optimization problem, where the computational task is to find a structure that maximizes a statistically motivated score. By and large, existing learning tools address this optimization problem…

机器学习 · 计算机科学 2013-01-30 Nir Friedman , Iftach Nachman , Dana Pe'er

We study active structure learning of Bayesian networks in an observational setting, in which there are external limitations on the number of variable values that can be observed from the same sample. Random samples are drawn from the joint…

机器学习 · 计算机科学 2022-08-23 Noa Ben-David , Sivan Sabato

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

统计方法学 · 统计学 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

One of the basic tasks for Bayesian networks (BNs) is that of learning a network structure from data. The BN-learning problem is NP-hard, so the standard solution is heuristic search. Many approaches have been proposed for this task, but…

机器学习 · 计算机科学 2012-07-09 Marc Teyssier , Daphne Koller

Learning the structure of dependencies among multiple random variables is a problem of considerable theoretical and practical interest. Within the context of Bayesian Networks, a practical and surprisingly successful solution to this…

机器学习 · 计算机科学 2021-01-20 Giulio Caravagna , Daniele Ramazzotti

Continuous-time Bayesian Networks (CTBNs) represent a compact yet powerful framework for understanding multivariate time-series data. Given complete data, parameters and structure can be estimated efficiently in closed-form. However, if…

机器学习 · 统计学 2019-11-04 Dominik Linzner , Michael Schmidt , Heinz Koeppl

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

统计方法学 · 统计学 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

Bayesian networks have been used as a mechanism to represent the joint distribution of multiple random variables in a flexible yet interpretable manner. One major challenge in learning the structure of a Bayesian network is how to model…

统计方法学 · 统计学 2022-12-06 Wanchuang Zhu , Ngoc Lan Chi Nguyen

Binary Neural Networks (BNNs) have garnered significant attention due to their immense potential for deployment on edge devices. However, the non-differentiability of the quantization function poses a challenge for the optimization of BNNs,…

机器学习 · 计算机科学 2024-12-17 Xinquan Chen , Junqi Gao , Biqing Qi , Dong Li , Yiang Luo , Fangyuan Li , Pengfei Li

This paper describes a new library for learning Bayesian networks from data containing discrete and continuous variables (mixed data). In addition to the classical learning methods on discretized data, this library proposes its algorithm…

机器学习 · 统计学 2021-06-25 Anna V. Bubnova , Irina Deeva , Anna V. Kalyuzhnaya

Federated learning makes it possible to train a machine learning model on decentralized data. Bayesian networks are probabilistic graphical models that have been widely used in artificial intelligence applications. Their popularity stems…

机器学习 · 计算机科学 2024-05-22 Florian van Daalen , Lianne Ippel , Andre Dekker , Inigo Bermejo

Gaussian graphical models are widely used to infer dependence structures. Bayesian methods are appealing to quantify uncertainty associated with structural learning, i.e., the plausibility of conditional independence statements given the…

统计方法学 · 统计学 2025-11-05 Deborah Sulem , Jack Jewson , David Rossell

The discovery of Partial Differential Equations (PDEs) is an essential task for applied science and engineering. However, data-driven discovery of PDEs is generally challenging, primarily stemming from the sensitivity of the discovered…

机器学习 · 统计学 2024-03-27 Aoxue Chen , Yifan Du , Liyao Mars Gao , Guang Lin

Brain function is organized in coordinated modes of spatio-temporal activity (functional networks) exhibiting an intrinsic baseline structure with variations under different experimental conditions. Existing approaches for uncovering such…

统计方法学 · 统计学 2019-02-13 Joshua Lukemire , Suprateek Kundu , Giuseppe Pagnoni , Ying Guo

Gaussian Graphical Models (GGMs) or Gauss Markov random fields are widely used in many applications, and the trade-off between the modeling capacity and the efficiency of learning and inference has been an important research problem. In…

机器学习 · 计算机科学 2013-11-12 Ying Liu , Alan S. Willsky