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We show how to treat systematic uncertainties using Bayesian deep networks for regression. First, we analyze how these networks separately trace statistical and systematic uncertainties on the momenta of boosted top quarks forming fat jets.…

High Energy Physics - Phenomenology · Physics 2020-12-23 Gregor Kasieczka , Michel Luchmann , Florian Otterpohl , Tilman Plehn

Due to the growing complexity of modern data centers, failures are not uncommon any more. Therefore, fault tolerance mechanisms play a vital role in fulfilling the availability requirements. Multiple availability models have been proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-26 Otto Bibartiu , Frank Dürr , Kurt Rothermel , Beate Ottenwälder , Andreas Grau

We investigate the problem of learning Bayesian networks in a robust model where an $\epsilon$-fraction of the samples are adversarially corrupted. In this work, we study the fully observable discrete case where the structure of the network…

Data Structures and Algorithms · Computer Science 2018-10-30 Yu Cheng , Ilias Diakonikolas , Daniel Kane , Alistair Stewart

In networks of dynamic systems, one challenge is to identify the interconnection structure on the basis of measured signals. Inspired by a Bayesian approach in [1], in this paper, we explore a Bayesian model selection method for identifying…

Systems and Control · Computer Science 2019-03-18 Shengling Shi , Giulio Bottegal , Paul M. J. Van den Hof

To support mechanism online learning and facilitate digital twin development for biomanufacturing processes, this paper develops an efficient Bayesian inference approach for partially observed enzymatic stochastic reaction network (SRN), a…

Machine Learning · Statistics 2024-07-02 Wandi Xu , Wei Xie

Modeling and analyzing security of networked systems is an important problem in the emerging Science of Security and has been under active investigation. In this paper, we propose a new approach towards tackling the problem. Our approach is…

Cryptography and Security · Computer Science 2016-03-29 Gaofeng Da , Maochao Xu , Shouhuai Xu

Structural break identification methods are an important tool for evaluating the effectiveness of climate change mitigation policies. In this paper, we introduce a unified probabilistic framework for detecting structural breaks with unknown…

Econometrics · Economics 2026-03-06 Lucas D. Konrad , Lukas Vashold , Jesus Crespo Cuaresma

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

We study the problem of learning Bayesian network structures from data. We develop an algorithm for finding the k-best Bayesian network structures. We propose to compute the posterior probabilities of hypotheses of interest by Bayesian…

Machine Learning · Computer Science 2012-03-19 Jin Tian , Ru He , Lavanya Ram

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

In this paper we propose a Bayesian method for estimating architectural parameters of neural networks, namely layer size and network depth. We do this by learning concrete distributions over these parameters. Our results show that regular…

Machine Learning · Statistics 2019-01-29 Georgi Dikov , Patrick van der Smagt , Justin Bayer

The concept of structured occurrence nets is an extension of that of occurrence nets which are directed acyclic graphs that represent causality and concurrency information concerning a single execution of a distributed system. The formalism…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Mohammed Alahmadi , Salma Alharbi , Talal Alharbi , Nadiyah Almutairi , Tuwailaa Alshammari , Anirban Bhattacharyya , Maciej Koutny , Bowen Li , Brian Randell

We provide simple schemes to build Bayesian Neural Networks (BNNs), block by block, inspired by a recent idea of computation skeletons. We show how by adjusting the types of blocks that are used within the computation skeleton, we can…

Machine Learning · Statistics 2018-06-12 Hao Henry Zhou , Yunyang Xiong , Vikas Singh

Bayesian networks (BNs) are graphical \emph{first-order} probabilistic models that allow for a compact representation of large probability distributions, and for efficient inference, both exact and approximate. We introduce a…

Logic in Computer Science · Computer Science 2023-12-12 Claudia Faggian , Daniele Pautasso , Gabriele Vanoni

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Models with intractable likelihood functions arise in areas including network analysis and spatial statistics, especially those involving Gibbs random fields. Posterior parameter es timation in these settings is termed a doubly-intractable…

Computation · Statistics 2018-10-16 Lampros Bouranis , Nial Friel , Florian Maire

To evaluate the robustness gain of Bayesian neural networks on image classification tasks, we perform input perturbations, and adversarial attacks to the state-of-the-art Bayesian neural networks, with a benchmark CNN model as reference.…

Machine Learning · Computer Science 2021-06-18 Yutian Pang , Sheng Cheng , Jueming Hu , Yongming Liu

Knowledge about the maximum tire-road friction potential is an important factor to ensure the driving stability and traffic safety of the vehicle. Many authors proposed systems that either measure friction related parameters or estimate the…

Signal Processing · Electrical Eng. & Systems 2024-07-17 Björn Volkmann , Karl-Philipp Kortmann , Ulrich Mair , Julian King

While the study of a single network is well-established, technological advances now allow for the collection of multiple networks with relative ease. Increasingly, anywhere from several to thousands of networks can be created from brain…

Applications · Statistics 2021-01-14 Nathaniel Josephs , Lizhen Lin , Steven Rosenberg , Eric D. Kolaczyk

It is known that describing or calculating the conditional probabilities of multiple events is exponentially expensive. In this work, Bayesian tensor network (BTN) is proposed to efficiently capture the conditional probabilities of multiple…

Machine Learning · Statistics 2020-01-08 Shi-Ju Ran