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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

As data size and computing power increase, the architectures of deep neural networks (DNNs) have been getting more complex and huge, and thus there is a growing need to simplify such complex and huge DNNs. In this paper, we propose a novel…

Machine Learning · Statistics 2023-05-24 Insung Kong , Dongyoon Yang , Jongjin Lee , Ilsang Ohn , Yongdai Kim

We address the problem of Bayesian reinforcement learning using efficient model-based online planning. We propose an optimism-free Bayes-adaptive algorithm to induce deeper and sparser exploration with a theoretical bound on its performance…

Machine Learning · Computer Science 2020-06-30 Divya Grover , Debabrota Basu , Christos Dimitrakakis

We propose to focus on the problem of discovering neural network architectures efficient in terms of both prediction quality and cost. For instance, our approach is able to solve the following tasks: learn a neural network able to predict…

Machine Learning · Computer Science 2018-05-24 Tom Veniat , Ludovic Denoyer

Bayesian networks (BNs) are a widely used graphical model in machine learning for representing knowledge with uncertainty. The mainstream BN structure learning methods require performing a large number of conditional independence (CI)…

Machine Learning · Computer Science 2022-12-09 Jiantong Jiang , Zeyi Wen , Ajmal Mian

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…

Optimization and Control · Mathematics 2022-05-10 Simge Kucukyavuz , Ali Shojaie , Hasan Manzour , Linchuan Wei , Hao-Hsiang Wu

We propose a randomized greedy search algorithm to find a point estimate for a random partition based on a loss function and posterior Monte Carlo samples. Given the large size and awkward discrete nature of the search space, the…

Methodology · Statistics 2021-05-11 David B. Dahl , Devin J. Johnson , Peter Mueller

Recently several researchers have investigated techniques for using data to learn Bayesian networks containing compact representations for the conditional probability distributions (CPDs) stored at each node. The majority of this work has…

Machine Learning · Computer Science 2015-05-19 David Maxwell Chickering , David Heckerman , Christopher Meek

Structure learning of Bayesian networks has always been a challenging problem. Nowadays, massive-size networks with thousands or more of nodes but fewer samples frequently appear in many areas. We develop a divide-and-conquer framework,…

Machine Learning · Statistics 2020-09-24 Jiaying Gu , Qing Zhou

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

Learning the structure of Bayesian networks is a difficult combinatorial optimization problem. In this paper, we consider learning of tree-augmented naive Bayes (TAN) structures for Bayesian network classifiers with discrete input features.…

Machine Learning · Computer Science 2020-08-24 Wolfgang Roth , Franz Pernkopf

Bayesian approaches to learn the graphical structure of Bayesian Belief Networks (BBNs) from databases share the assumption that the database is complete, that is, no entry is reported as unknown. Attempts to relax this assumption involve…

Artificial Intelligence · Computer Science 2013-02-08 Marco Ramoni , Paola Sebastiani

We introduce a method for the problem of learning the structure of a Bayesian network using the quantum adiabatic algorithm. We do so by introducing an efficient reformulation of a standard posterior-probability scoring function on graphs…

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…

Computer Vision and Pattern Recognition · Computer Science 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

The motivation for this paper is to apply Bayesian structure learning using Model Averaging in large-scale networks. Currently, Bayesian model averaging algorithm is applicable to networks with only tens of variables, restrained by its…

Machine Learning · Computer Science 2012-10-19 Yang Lu , Mengying Wang , Menglu Li , Qili Zhu , Bo Yuan

Two ideas taken from Bayesian optimization and classifier systems are presented for personnel scheduling based on choosing a suitable scheduling rule from a set for each persons assignment. Unlike our previous work of using genetic…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Jingpeng Li , Uwe Aickelin

We introduce a principled approach for unsupervised structure learning of deep neural networks. We propose a new interpretation for depth and inter-layer connectivity where conditional independencies in the input distribution are encoded…

Machine Learning · Statistics 2018-10-18 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Guy Koren , Gal Novik

Graph Neural Networks (GNNs) can predict the performance of an industrial design quickly and accurately and be used to optimize its shape effectively. However, to fully explore the shape space, one must often consider shapes deviating…

Machine Learning · Computer Science 2023-10-03 Nikita Durasov , Artem Lukoyanov , Jonathan Donier , Pascal Fua

The adaptive processing of structured data is a long-standing research topic in machine learning that investigates how to automatically learn a mapping from a structured input to outputs of various nature. Recently, there has been an…

Machine Learning · Computer Science 2022-02-28 Federico Errica

We propose an efficient family of algorithms to learn the parameters of a Bayesian network from incomplete data. In contrast to textbook approaches such as EM and the gradient method, our approach is non-iterative, yields closed form…

Machine Learning · Computer Science 2014-11-26 Guy Van den Broeck , Karthika Mohan , Arthur Choi , Judea Pearl
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