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Integrative network modeling of data arising from multiple genomic platforms provides insight into the holistic picture of the interactive system, as well as the flow of information across many disease domains including cancer. The basic…

Methodology · Statistics 2020-02-18 Min Jin Ha , Francesco Stingo , Veerabhadran Baladandayuthapani

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

A popular approach to semi-supervised learning proceeds by endowing the input data with a graph structure in order to extract geometric information and incorporate it into a Bayesian framework. We introduce new theory that gives appropriate…

Machine Learning · Statistics 2020-01-14 Nicolas Garcia Trillos , Zachary Kaplan , Thabo Samakhoana , Daniel Sanz-Alonso

A Bayesian network is a probabilistic graphical model that consists of a directed acyclic graph (DAG), where each node is a random variable and attached to each node is a conditional probability distribution (CPD). A Bayesian network can be…

Machine Learning · Computer Science 2020-11-04 Charupriya Sharma , Zhenyu A. Liao , James Cussens , Peter van Beek

Bayes nets are extensively used in practice to efficiently represent joint probability distributions over a set of random variables and capture dependency relations. In a seminal paper, Chickering et al. (JMLR 2004) showed that given a…

Machine Learning · Computer Science 2024-08-06 Arnab Bhattacharyya , Davin Choo , Sutanu Gayen , Dimitrios Myrisiotis

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

Federated Learning has emerged as a promising approach to train machine learning models on decentralized data sources while preserving data privacy. This paper proposes a new federated approach for Naive Bayes (NB) classification, assuming…

Machine Learning · Computer Science 2025-02-04 Pablo Torrijos , Juan C. Alfaro , José A. Gámez , José M. Puerta

Bayesian network is a complete model for the variables and their relationships, it can be used to answer probabilistic queries about them. A Bayesian network can thus be considered a mechanism for automatically applying Bayes' theorem to…

Artificial Intelligence · Computer Science 2010-11-08 Jianguo Ding

Adversarial examples have been shown to cause neural networks to fail on a wide range of vision and language tasks, but recent work has claimed that Bayesian neural networks (BNNs) are inherently robust to adversarial perturbations. In this…

Machine Learning · Computer Science 2024-05-01 Yunzhen Feng , Tim G. J. Rudner , Nikolaos Tsilivis , Julia Kempe

Continuous-time Bayesian networks (CTBNs) constitute a general and powerful framework for modeling continuous-time stochastic processes on networks. This makes them particularly attractive for learning the directed structures among…

Machine Learning · Statistics 2018-10-15 Dominik Linzner , Heinz Koeppl

The diagnosis of cyber-physical systems aims to detect faulty behaviour, its root cause and a mitigation or even prevention policy. Therefore, diagnosis relies on a representation of the system's functional and faulty behaviour combined…

Machine Learning · Computer Science 2021-10-13 Nicolas Olivain , Philipp Tiefenbacher , Jens Kohl

In this work, we advocate for the importance of singular learning theory (SLT) as it pertains to the theory and practice of variational inference in Bayesian neural networks (BNNs). To begin, using SLT, we lay to rest some of the confusion…

Machine Learning · Statistics 2023-02-14 Susan Wei , Edmund Lau

Structural learning of Bayesian Networks (BNs) is a NP-hard problem, which is further complicated by many theoretical issues, such as the I-equivalence among different structures. In this work, we focus on a specific subclass of BNs, named…

Machine Learning · Computer Science 2018-10-24 Daniele Ramazzotti , Marco S. Nobile , Marco Antoniotti , Alex Graudenzi

Bayesian neural networks (BNNs) hold great promise as a flexible and principled solution to deal with uncertainty when learning from finite data. Among approaches to realize probabilistic inference in deep neural networks, variational Bayes…

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Bayesian networks (BNs) are a probabilistic graphical model widely used for representing expert knowledge and reasoning under uncertainty. Traditionally, they are based on directed acyclic graphs that capture dependencies between random…

Artificial Intelligence · Computer Science 2023-01-23 Christel Baier , Clemens Dubslaff , Holger Hermanns , Nikolai Käfer

We study network coordination problems, as captured by the setting of generalized network design (Emek et al., STOC 2018), in the face of uncertainty resulting from partial information that the network users hold regarding the actions of…

Computer Science and Game Theory · Computer Science 2019-07-02 Yuval Emek , Shay Kutten , Ron Lavi , Yangguang Shi

We examine Bayesian methods for learning Bayesian networks from a combination of prior knowledge and statistical data. In particular, we unify the approaches we presented at last year's conference for discrete and Gaussian domains. We…

Artificial Intelligence · Computer Science 2021-07-01 David Heckerman , Dan Geiger

Obtaining heteroscedastic predictive uncertainties from a Bayesian Neural Network (BNN) is vital to many applications. Often, heteroscedastic aleatoric uncertainties are learned as outputs of the BNN in addition to the predictive means,…

Machine Learning · Computer Science 2026-05-01 David J. Schodt , Ryan Brown , Michael Merritt , Samuel Park , Delsin Menolascino , Mark A. Peot

Real-life statistical samples are often plagued by selection bias, which complicates drawing conclusions about the general population. When learning causal relationships between the variables is of interest, the sample may be assumed to be…

Statistics Theory · Mathematics 2018-11-15 Angelos P. Armen , Robin J. Evans