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We address the problem of Bayesian structure learning for domains with hundreds of variables by employing non-parametric bootstrap, recursively. We propose a method that covers both model averaging and model selection in the same framework.…

机器学习 · 统计学 2018-09-14 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Guy Koren , Gal Novik

Estimating dependence relationships between variables is a crucial issue in many applied domains, such as medicine, social sciences and psychology. When several variables are entertained, these can be organized into a network which encodes…

统计方法学 · 统计学 2025-01-01 Federico Castelletti

Causal Bayesian Networks (CBNs) are a powerful tool for reasoning under uncertainty about complex real-world problems. Such problems evolve over time, responding to external shocks as they occur. To support decision-making, CBNs require a…

机器学习 · 计算机科学 2026-05-11 Bruno Petrungaro , Anthony C. Constantinou

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…

机器学习 · 统计学 2016-05-30 Song Liu , Taiji Suzuki , Masashi Sugiyama , Kenji Fukumizu

Physics-informed neural networks (PINNs) have emerged as a powerful paradigm for solving partial differential equations (PDEs) by embedding physical laws directly into neural network training. However, solving high-fidelity PDEs remains…

机器学习 · 计算机科学 2026-02-03 Olaf Yunus Laitinen Imanov

We consider structure discovery of undirected graphical models from observational data. Inferring likely structures from few examples is a complex task often requiring the formulation of priors and sophisticated inference procedures.…

机器学习 · 统计学 2017-08-04 Eugene Belilovsky , Kyle Kastner , Gaël Varoquaux , Matthew Blaschko

Gaussian Dynamic Bayesian Networks (GDBNs) are a widely used tool for learning network structures from continuous time-series data. To capture both time-lagged and contemporaneous dependencies, advanced GDBNs allow for dynamic inter-slice…

统计计算 · 统计学 2025-12-17 Kezhuo Li , Marco Grzegorczyk

In recent years, there is a growing interest in learning Bayesian networks with continuous variables. Learning the structure of such networks is a computationally expensive procedure, which limits most applications to parameter learning.…

机器学习 · 计算机科学 2012-07-19 Iftach Nachman , Gal Elidan , Nir Friedman

The Forensics Investigations Network in Digital Sciences (FINDS) Research Center of Excellence (CoE), funded by the U.S. Army Research Laboratory, advances Digital Forensic Engineering Education (DFEE) through an integrated research…

Joint modeling of multiview graphs with a common set of nodes between views and auxiliary predictors is an essential, yet less explored, area in statistical methodology. Traditional approaches often treat graphs in different views as…

统计方法学 · 统计学 2026-03-24 Sharmistha Guha , Jose Rodriguez-Acosta , Ivo Dinov

We propose a joint order-based scoring framework for causal structure learning of directed acyclic graph (DAG) models under heterogeneous data settings. We show that leveraging heterogeneity improves the accuracy of causal ordering…

统计方法学 · 统计学 2026-05-18 Hyunwoong Chang , Fariha Taskin

A Bayesian Network is a directed acyclic graph (DAG) on a set of $n$ random variables (the vertices); a Bayesian Network Distribution (BND) is a probability distribution on the random variables that is Markovian on the graph. A finite…

机器学习 · 计算机科学 2023-06-01 Spencer L. Gordon , Bijan Mazaheri , Yuval Rabani , Leonard J. Schulman

The diagnosis of cyber-physical systems aims to detect faulty behaviour, its root cause and a mitigation or even prevention policy. Therefore, diagnosis relies on a representation of the system's functional and faulty behaviour combined…

机器学习 · 计算机科学 2021-10-13 Nicolas Olivain , Philipp Tiefenbacher , Jens Kohl

In recent years there has been a flurry of works on learning Bayesian networks from data. One of the hard problems in this area is how to effectively learn the structure of a belief network from incomplete data- that is, in the presence of…

机器学习 · 计算机科学 2013-02-01 Nir Friedman

Federated learning methods enable model training across distributed data sources without data leaving their original locations and have gained increasing interest in various fields. However, existing approaches are limited, excluding many…

机器学习 · 统计学 2023-07-10 Conor Hassan , Robert Salomone , Kerrie Mengersen

In this paper, a multipurpose Bayesian-based method for data analysis, causal inference and prediction in the sphere of oil and gas reservoir development is considered. This allows analysing parameters of a reservoir, discovery dependencies…

Incremental methods for structure learning of pairwise Markov random fields (MRFs), such as grafting, improve scalability by avoiding inference over the entire feature space in each optimization step. Instead, inference is performed over an…

机器学习 · 计算机科学 2018-05-22 Walid Chaabene , Bert Huang

Recently, techniques for applying convolutional neural networks to graph-structured data have emerged. Graph convolutional neural networks (GCNNs) have been used to address node and graph classification and matrix completion. Although the…

机器学习 · 统计学 2018-11-28 Yingxue Zhang , Soumyasundar Pal , Mark Coates , Deniz Üstebay

We present a novel hybrid algorithm for Bayesian network structure learning, called Hybrid HPC (H2PC). It first reconstructs the skeleton of a Bayesian network and then performs a Bayesian-scoring greedy hill-climbing search to orient the…

机器学习 · 统计学 2015-08-25 Maxime Gasse , Alex Aussem , Haytham Elghazel

Bayesian experimental design (BED) provides a principled framework for optimizing data collection by choosing experiments that are maximally informative about unknown parameters. However, existing methods cannot deal with the joint…

机器学习 · 统计学 2026-01-30 Sara Pérez-Vieites , Sahel Iqbal , Simo Särkkä , Dominik Baumann