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Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

计算机视觉与模式识别 · 计算机科学 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

We study an interesting and challenging problem, learning any part of a Bayesian network (BN) structure. In this challenge, it will be computationally inefficient using existing global BN structure learning algorithms to find an entire BN…

机器学习 · 计算机科学 2021-03-26 Zhaolong Ling , Kui Yu , Hao Wang , Lin Liu , Jiuyong Li

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…

机器学习 · 统计学 2013-07-10 Diane Oyen , Terran Lane

Three classes of algorithms to learn the structure of Bayesian networks from data are common in the literature: constraint-based algorithms, which use conditional independence tests to learn the dependence structure of the data; score-based…

统计方法学 · 统计学 2021-02-10 Marco Scutari , Catharina Elisabeth Graafland , José Manuel Gutiérrez

Learning a Bayesian network (BN) from data can be useful for decision-making or discovering causal relationships. However, traditional methods often fail in modern applications, which exhibit a larger number of observed variables than data…

统计计算 · 统计学 2018-06-26 Raj Agrawal , Tamara Broderick , Caroline Uhler

We extend the decomposition approach for learning Bayesian networks (BNs) proposed by (Xie et. al.) to learning multivariate regression chain graphs (MVR CGs), which include BNs as a special case. The same advantages of this decomposition…

人工智能 · 计算机科学 2020-02-26 Mohammad Ali Javidian , Marco Valtorta

Score-based algorithms that learn the structure of Bayesian networks can be used for both exact and approximate solutions. While approximate learning scales better with the number of variables, it can be computationally expensive in the…

机器学习 · 计算机科学 2022-02-22 Zhigao Guo , Anthony C. Constantinou

We report a scalable hybrid quantum-classical machine learning framework to build Bayesian networks (BN) that captures the conditional dependence and causal relationships of random variables. The generation of a BN consists of finding a…

机器学习 · 计算机科学 2019-01-31 Radhakrishnan Balu , Ajinkya Borle

The graph of a Bayesian Network (BN) can be machine learned, determined by causal knowledge, or a combination of both. In disciplines like bioinformatics, applying BN structure learning algorithms can reveal new insights that would…

人工智能 · 计算机科学 2021-02-03 Anthony C. Constantinou , Norman Fenton , Martin Neil

Learning the structure of Bayesian networks (BNs) from data is challenging, especially for datasets involving a large number of variables. The recently proposed divide-and-conquer (D\&D) strategies present a promising approach for learning…

机器学习 · 计算机科学 2025-07-01 Shengcai Liu , Hui Ou-yang , Zhiyuan Wang , Cheng Chen , Qijun Cai , Yew-Soon Ong , Ke Tang

Traditionally, Bayesian network structure learning is often carried out at a central site, in which all data is gathered. However, in practice, data may be distributed across different parties (e.g., companies, devices) who intend to…

机器学习 · 计算机科学 2022-04-05 Ignavier Ng , Kun Zhang

In cognitive radio (CR) technology, the trend of sensing is no longer to only detect the presence of active primary users. A large number of applications demand for more comprehensive knowledge on primary user behaviors in spatial,…

机器学习 · 计算机科学 2015-02-10 Weijia Han , Huiyan Sang , Min Sheng , Jiandong Li , Shuguang Cui

Probabilistic graphical models (PGMs) provide a compact and flexible framework to model very complex real-life phenomena. They combine the probability theory which deals with uncertainty and logical structure represented by a graph which…

机器学习 · 统计学 2023-02-01 Maryia Shpak

Promising results have driven a recent surge of interest in continuous optimization methods for Bayesian network structure learning from observational data. However, there are theoretical limitations on the identifiability of underlying…

We give a new consistent scoring function for structure learning of Bayesian networks. In contrast to traditional approaches to scorebased structure learning, such as BDeu or MDL, the complexity penalty that we propose is data-dependent and…

机器学习 · 计算机科学 2013-09-27 Eliot Brenner , David Sontag

Bayesian networks (BNs) are graphical models that are useful for representing high-dimensional probability distributions. There has been a great deal of interest in recent years in the NP-hard problem of learning the structure of a BN from…

机器学习 · 统计学 2016-10-04 D. Jennings , J. N. Corcoran

Local-to-global learning approach plays an essential role in Bayesian network (BN) structure learning. Existing local-to-global learning algorithms first construct the skeleton of a DAG (directed acyclic graph) by learning the MB (Markov…

机器学习 · 计算机科学 2021-12-21 Kui Yu , Zhaolong Ling , Lin Liu , Hao Wang , Jiuyong Li

Bayesian Networks (BNs) represent conditional probability relations among a set of random variables (nodes) in the form of a directed acyclic graph (DAG), and have found diverse applications in knowledge discovery. We study the problem of…

最优化与控制 · 数学 2022-05-10 Simge Kucukyavuz , Ali Shojaie , Hasan Manzour , Linchuan Wei , Hao-Hsiang Wu

This paper presents the Min-Cut Bayesian Network Consensus (MCBNC) algorithm, a greedy method for structural consensus of Bayesian Networks (BNs), with applications in federated learning and model aggregation. MCBNC prunes weak edges from…

机器学习 · 计算机科学 2025-11-11 Pablo Torrijos , José M. Puerta , Juan A. Aledo , José A. Gámez

We study the problem of learning a Bayesian network (BN) of a set of variables when structural side information about the system is available. It is well known that learning the structure of a general BN is both computationally and…

机器学习 · 计算机科学 2021-12-22 Ehsan Mokhtarian , Sina Akbari , Fateme Jamshidi , Jalal Etesami , Negar Kiyavash