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Neural networks (NN) have achieved state-of-the-art performance in various applications. Unfortunately in applications where training data is insufficient, they are often prone to overfitting. One effective way to alleviate this problem is…

Machine Learning · Computer Science 2016-11-03 Hao Wang , Xingjian Shi , Dit-Yan Yeung

One of the core facets of Bayesianism is in the updating of prior beliefs in light of new evidence$\text{ -- }$so how can we maintain a Bayesian approach if we have no prior beliefs in the first place? This is one of the central challenges…

Machine Learning · Statistics 2026-02-10 Tommy Rochussen , Vincent Fortuin

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Noisy-OR Bayesian Networks (BNs) are a family of probabilistic graphical models which express rich statistical dependencies in binary data. Variational inference (VI) has been the main method proposed to learn noisy-OR BNs with complex…

Machine Learning · Computer Science 2023-02-02 Antoine Dedieu , Guangyao Zhou , Dileep George , Miguel Lazaro-Gredilla

This paper describes a new approach for learning structures of large Bayesian networks based on blocks resulting from feature space clustering. This clustering is obtained using normalized mutual information. And the subsequent aggregation…

Machine Learning · Statistics 2022-08-30 Anna V. Bubnova

In this paper we address the problem of learning the structure of a Bayesian network in domains with continuous variables. This task requires a procedure for comparing different candidate structures. In the Bayesian framework, this is done…

Artificial Intelligence · Computer Science 2013-01-18 Nir Friedman , Iftach Nachman

We consider the problem of learning Bayesian network classifiers that maximize the marginover a set of classification variables. We find that this problem is harder for Bayesian networks than for undirected graphical models like maximum…

Machine Learning · Computer Science 2012-07-09 Yuhong Guo , Dana Wilkinson , Dale Schuurmans

Numerous Bayesian Network (BN) structure learning algorithms have been proposed in the literature over the past few decades. Each publication makes an empirical or theoretical case for the algorithm proposed in that publication and results…

Machine Learning · Computer Science 2020-09-14 Anthony C. Constantinou , Yang Liu , Kiattikun Chobtham , Zhigao Guo , Neville K. Kitson

Bayesian neural networks provide a direct and natural way to extend standard deep neural networks to support probabilistic deep learning through the use of probabilistic layers that, traditionally, encode weight (and bias) uncertainty. In…

Machine Learning · Computer Science 2021-07-16 Daniel T. Chang

We propose a decentralized learning algorithm over a general social network. The algorithm leaves the training data distributed on the mobile devices while utilizing a peer to peer model aggregation method. The proposed algorithm allows…

Machine Learning · Statistics 2019-05-28 Anusha Lalitha , Xinghan Wang , Osman Kilinc , Yongxi Lu , Tara Javidi , Farinaz Koushanfar

We investigate the parameterized complexity of Bayesian Network Structure Learning (BNSL), a classical problem that has received significant attention in empirical but also purely theoretical studies. We follow up on previous works that…

Data Structures and Algorithms · Computer Science 2026-02-12 Robert Ganian , Viktoriia Korchemna

Variational Bayesian neural nets combine the flexibility of deep learning with Bayesian uncertainty estimation. Unfortunately, there is a tradeoff between cheap but simple variational families (e.g.~fully factorized) or expensive and…

Machine Learning · Computer Science 2018-02-27 Guodong Zhang , Shengyang Sun , David Duvenaud , Roger Grosse

Bayesian structure learning is the NP-hard problem of discovering a Bayesian network that optimally represents a given set of training data. In this paper we study the computational worst-case complexity of exact Bayesian structure learning…

Machine Learning · Computer Science 2012-03-19 Sebastian Ordyniak , Stefan Szeider

This work presents novel algorithms for learning Bayesian network structures with bounded treewidth. Both exact and approximate methods are developed. The exact method combines mixed-integer linear programming formulations for structure…

Artificial Intelligence · Computer Science 2014-06-09 Siqi Nie , Denis Deratani Maua , Cassio Polpo de Campos , Qiang Ji

Recursive max-linear vectors model causal dependence between its components by expressing each node variable as a max-linear function of its parental nodes in a directed acyclic graph and some exogenous innovation. Motivated by extreme…

Methodology · Statistics 2019-12-10 Claudia Klüppelberg , Mario Krali

A significant theoretical advantage of search-and-score methods for learning Bayesian Networks is that they can accept informative prior beliefs for each possible network, thus complementing the data. In this paper, a method is presented…

Artificial Intelligence · Computer Science 2014-08-12 Giorgos Borboudakis , Ioannis Tsamardinos

A significant theoretical advantage of search-and-score methods for learning Bayesian Networks is that they can accept informative prior beliefs for each possible network, thus complementing the data. In this paper, a method is presented…

Artificial Intelligence · Computer Science 2013-08-01 Giorgos Borboudakis , Ioannis Tsamardinos

We propose a cooperative coevolutionary genetic algorithm for learning Bayesian network structures from fully observable data sets. Since this problem can be decomposed into two dependent subproblems, that is to find an ordering of the…

Neural and Evolutionary Computing · Computer Science 2013-05-29 Arthur Carvalho

With continual miniaturization ever more applications of deep learning can be found in embedded systems, where it is common to encounter data with natural complex domain representation. To this end we extend Sparse Variational Dropout to…

Machine Learning · Computer Science 2020-06-30 Ivan Nazarov , Evgeny Burnaev

We consider the inverse reinforcement learning problem, that is, the problem of learning from, and then predicting or mimicking a controller based on state/action data. We propose a statistical model for such data, derived from the…

Machine Learning · Statistics 2012-11-27 Sumeetpal S. Singh , Nicolas Chopin , Nick Whiteley