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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

The graph structure of a Bayesian network (BN) can be learned from data using the well-known score-and-search approach. Previous work has shown that incorporating structured representations of the conditional probability distributions…

Machine Learning · Computer Science 2022-06-22 Charupriya Sharma , Peter van Beek

Recent advances in deep learning methods have enabled researchers to develop and apply algorithms for the analysis and modeling of complex networks. These advances have sparked a surge of interest at the interface between network science…

We propose a novel Bayesian nonparametric method to learn translation-invariant relationships on non-Euclidean domains. The resulting graph convolutional Gaussian processes can be applied to problems in machine learning for which the input…

Machine Learning · Computer Science 2019-05-15 Ian Walker , Ben Glocker

Recently, there has been great success in applying deep neural networks on graph structured data. Most work, however, focuses on either node- or graph-level supervised learning, such as node, link or graph classification or node-level…

Machine Learning · Computer Science 2021-12-15 Robin Winter , Frank Noé , Djork-Arné Clevert

There has been an increased interest in applying machine learning techniques on relational structured-data based on an observed graph. Often, this graph is not fully representative of the true relationship amongst nodes. In these settings,…

Machine Learning · Statistics 2022-08-05 Florence Regol , Soumyasundar Pal , Jianing Sun , Yingxue Zhang , Yanhui Geng , Mark Coates

Graph classification is a pivotal challenge in machine learning, especially within the realm of graph-based data, given its importance in numerous real-world applications such as social network analysis, recommendation systems, and…

Machine Learning · Computer Science 2024-07-03 Bowen Zhang , Zhichao Huang , Genan Dai , Guangning Xu , Xiaomao Fan , Hu Huang

Graphs serve as fundamental descriptors for systems composed of interacting elements, capturing a wide array of data types, from molecular interactions to social networks and knowledge graphs. In this paper, we present an exhaustive review…

Machine Learning · Computer Science 2024-11-13 Chenqing Hua

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

Bayesian structure learning allows inferring Bayesian network structure from data while reasoning about the epistemic uncertainty -- a key element towards enabling active causal discovery and designing interventions in real world systems.…

Machine Learning · Computer Science 2021-12-17 Lars Lorch , Jonas Rothfuss , Bernhard Schölkopf , Andreas Krause

Graph is an important data representation which appears in a wide diversity of real-world scenarios. Effective graph analytics provides users a deeper understanding of what is behind the data, and thus can benefit a lot of useful…

Artificial Intelligence · Computer Science 2018-02-05 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

Machine Learning · Statistics 2016-03-10 Umamahesh Srinivas

Recently, continual graph learning has been increasingly adopted for diverse graph-structured data processing tasks in non-stationary environments. Despite its promising learning capability, current studies on continual graph learning…

Machine Learning · Computer Science 2024-02-12 Zonggui Tian , Du Zhang , Hong-Ning Dai

Graph neural networks have demonstrated excellent applicability to a wide range of domains, including social networks, biological systems, recommendation systems, and wireless communications. Yet a principled theoretical understanding of…

Machine Learning · Computer Science 2026-04-14 Xinping Yi

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…

Artificial Intelligence · Computer Science 2021-02-03 Anthony C. Constantinou , Norman Fenton , Martin Neil

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…

Methodology · Statistics 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

Processing large complex networks recently attracted considerable interest. Complex graphs are useful in a wide range of applications from technological networks to biological systems like the human brain. Sometimes these networks are…

Data Structures and Algorithms · Computer Science 2019-12-03 Christian Schulz

Graph neural networks for molecular property prediction are frequently underspecified by data and fail to generalise to new scaffolds at test time. A potential solution is Bayesian learning, which can capture our uncertainty in the model…

Biomolecules · Quantitative Biology 2020-12-04 George Lamb , Brooks Paige

Graph learning has rapidly evolved into a critical subfield of machine learning and artificial intelligence (AI). Its development began with early graph-theoretic methods, gaining significant momentum with the advent of graph neural…

Machine Learning · Computer Science 2025-11-10 Feng Xia , Ciyuan Peng , Jing Ren , Falih Gozi Febrinanto , Renqiang Luo , Vidya Saikrishna , Shuo Yu , Xiangjie Kong

Theory of graphical models has matured over more than three decades to provide the backbone for several classes of models that are used in a myriad of applications such as genetic mapping of diseases, credit risk evaluation, reliability and…

Machine Learning · Statistics 2014-11-13 Henrik Nyman , Johan Pensar , Timo Koski , Jukka Corander