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Bayesian networks are basic graphical models, used widely both in statistics and artificial intelligence. These statistical models of conditional independence structure are described by acyclic directed graphs whose nodes correspond to…

Optimization and Control · Mathematics 2010-12-01 Raymond Hemmecke , Silvia Lindner , Milan Studený

A Random Graph is a random object which take its values in the space of graphs. We take advantage of the expressibility of graphs in order to model the uncertainty about the existence of causal relationships within a given set of variables.…

Artificial Intelligence · Computer Science 2026-04-30 Mauricio Gonzalez-Soto , Ivan R. Feliciano-Avelino , L. Enrique Sucar , Hugo J. Escalante Balderas

Several methods have recently been developed for joint structure learning of multiple (related) graphical models or networks. These methods treat individual networks as exchangeable, such that each pair of networks are equally encouraged to…

Methodology · Statistics 2014-06-03 Chris J. Oates , Sach Mukherjee

The development of chemical reaction models aids understanding and prediction in areas ranging from biology to electrochemistry and combustion. A systematic approach to building reaction network models uses observational data not only to…

Computational Engineering, Finance, and Science · Computer Science 2019-01-23 Nikhil Galagali , Youssef M. Marzouk

We describe a Bayesian model for social learning of a random variable in which agents might observe each other over a directed network. The outcomes produced are compared to those from a model in which observations occur randomly over a…

Social and Information Networks · Computer Science 2014-07-03 Stan Palasek

The score-based structure learning of Bayesian network (BN) is an effective way to learn BN models, which are regarded as some of the most compelling probabilistic graphical models in the field of representation and reasoning under…

Machine Learning · Computer Science 2025-04-08 Mingcan Wang , Junchang Xin , Luxuan Qu , Qi Chen , Zhiqiong Wang

We present a detailed comparison of two types of sequence to sequence models trained to conduct a compositional task. The models are architecturally identical at inference time, but differ in the way that they are trained: our baseline…

Computation and Language · Computer Science 2019-06-07 Joris Baan , Jana Leible , Mitja Nikolaus , David Rau , Dennis Ulmer , Tim Baumgärtner , Dieuwke Hupkes , Elia Bruni

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

In signal processing, exploring complex systems through network representations has become an area of growing interest. This study introduces the modularity graph, a new graph-based feature, to highlight the relationship across the graph…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Camilla Caporali , Marie-Constance Corsi , Stefania Colonnese

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

We study the problem of causal discovery through targeted interventions. Starting from few observational measurements, we follow a Bayesian active learning approach to perform those experiments which, in expectation with respect to the…

Machine Learning · Statistics 2019-10-10 Julius von Kügelgen , Paul K Rubenstein , Bernhard Schölkopf , Adrian Weller

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…

Methodology · Statistics 2021-02-10 Marco Scutari , Catharina Elisabeth Graafland , José Manuel Gutiérrez

A deep understanding of the intricate interactions between particles within a system is a key approach to revealing the essential characteristics of the system, whether it is an in-depth analysis of molecular properties in the field of…

High Energy Physics - Lattice · Physics 2024-12-17 Ru Geng , Yixian Gao , Jian Zu , Hong-Kun Zhang

Generalized linear models are one of the most efficient paradigms for predicting the correlated stochastic activity of neuronal networks in response to external stimuli, with applications in many brain areas. However, when dealing with…

Disordered Systems and Neural Networks · Physics 2020-11-17 Gabriel Mahuas , Giulio Isacchini , Olivier Marre , Ulisse Ferrari , Thierry Mora

Phage display is a powerful laboratory technique used to study the interactions between proteins and other molecules, whether other proteins, peptides, DNA or RNA. The under-utilisation of this data in conjunction with deep learning models…

Populations and Evolution · Quantitative Biology 2026-01-08 Ilann Amiaud-Plachy , Michael Blank , Oliver Bent , Sebastien Boyer

Bayesian networks are a powerful framework for studying the dependency structure of variables in a complex system. The problem of learning Bayesian networks is tightly associated with the given data type. Ordinal data, such as stages of…

Methodology · Statistics 2021-11-15 Xiang Ge Luo , Giusi Moffa , Jack Kuipers

Performing multiple experiments is common when learning internal mechanisms of complex systems. These experiments can include perturbations to parameters or external disturbances. A challenging problem is to efficiently incorporate all…

Systems and Control · Computer Science 2020-08-25 Zuogong Yue , Johan Thunberg , Wei Pan , Lennart Ljung , Jorge Goncalves

This article provides a unifying Bayesian network view on various approaches for acoustic model adaptation, missing feature, and uncertainty decoding that are well-known in the literature of robust automatic speech recognition. The…

Machine Learning · Computer Science 2014-09-23 Roland Maas , Christian Huemmer , Armin Sehr , Walter Kellermann

In this paper, we develop a graphical modeling framework for the inference of networks across multiple sample groups and data types. In medical studies, this setting arises whenever a set of subjects, which may be heterogeneous due to…

Learning a Bayesian network is an NP-hard problem and with an increase in the number of nodes, classical algorithms for learning the structure of Bayesian networks become inefficient. In recent years, some methods and algorithms for…

Machine Learning · Computer Science 2022-08-23 Yury Kaminsky , Irina Deeva