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We present a Bayesian nonparametric system reliability model which scales well and provides a great deal of flexibility in modeling. The Bayesian approach naturally handles the disparate amounts of component and subsystem data that may…

统计方法学 · 统计学 2022-03-22 Richard L. Warr , Jeremy M. Meyer , Jackson T. Curtis

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…

机器学习 · 计算机科学 2022-08-23 Yury Kaminsky , Irina Deeva

In this study, a Bayesian Network (BN) is considered to represent a nuclear plant mechanical system degradation. It describes a causal representation of the phenomena involved in the degradation process. Inference from such a BN needs to…

统计方法学 · 统计学 2009-05-19 Gilles Celeux , Franck Corset , A. Lannoy , Benoit Ricard

A Bayesian optimization algorithm for the nurse scheduling problem is presented, which involves choosing a suitable scheduling rule from a set for each nurses assignment. Unlike our previous work that used Gas to implement implicit…

神经与进化计算 · 计算机科学 2010-07-05 Jingpeng Li , Uwe Aickelin

We develop an approach for Bayesian learning of spatiotemporal dynamical mechanistic models. Such learning consists of statistical emulation of the mechanistic system that can efficiently interpolate the output of the system from arbitrary…

统计方法学 · 统计学 2025-07-11 Sudipto Banerjee , Xiang Chen , Ian Frankenburg , Daniel Zhou

Recently developed techniques have made it possible to quickly learn accurate probability density functions from data in low-dimensional continuous space. In particular, mixtures of Gaussians can be fitted to data very quickly using an…

机器学习 · 计算机科学 2013-01-18 Scott Davies , Andrew Moore

Uncertainty plays a key role in real-time machine learning. As a significant shift from standard deep networks, which does not consider any uncertainty formulation during its training or inference, Bayesian deep networks are being currently…

新兴技术 · 计算机科学 2020-06-24 Akul Malhotra , Sen Lu , Kezhou Yang , Abhronil Sengupta

The is no other model or hypothesis verification tool in Bayesian statistics that is as widely used as the Bayes factor. We focus on generative models that are likelihood-free and, therefore, render the computation of Bayes factors…

统计方法学 · 统计学 2024-12-30 Jungeum Kim , Veronika Rockova

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

统计计算 · 统计学 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

Bayesian networks provide a method of representing conditional independence between random variables and computing the probability distributions associated with these random variables. In this paper, we extend Bayesian network structures to…

人工智能 · 计算机科学 2013-02-21 Eric Driver , Darryl Morrell

Bayesian networks are a versatile and powerful tool to model complex phenomena and the interplay of their components in a probabilistically principled way. Moving beyond the comparatively simple case of completely observed, static data,…

统计方法学 · 统计学 2020-11-04 Marco Scutari

Mechanistic models of single-neuron dynamics have been extensively studied in computational neuroscience. However, identifying which models can quantitatively reproduce empirically measured data has been challenging. We propose to overcome…

Network inference has been extensively studied in several fields, such as systems biology and social sciences. Learning network topology and internal dynamics is essential to understand mechanisms of complex systems. In particular, sparse…

机器学习 · 统计学 2022-06-13 Yasen Wang , Junyang Jin , Jorge Goncalves

Computationally expensive simulators, implementing mathematical models in computer codes, are commonly approximated using statistical emulators. We develop and assess novel emulation methods for systems best modelled via a chain, series or…

统计方法学 · 统计学 2021-08-26 Samuel E. Jackson , David C. Woods

Integrating measurements and historical data can enhance control systems through learning-based techniques, but ensuring performance and safety is challenging. Robust model predictive control strategies, like stochastic model predictive…

系统与控制 · 电气工程与系统科学 2023-03-28 J. Pohlodek , H. Alsmeier , B. Morabito , C. Schlauch , A. Savchenko , R. Findeisen

Modern deep learning methods constitute incredibly powerful tools to tackle a myriad of challenging problems. However, since deep learning methods operate as black boxes, the uncertainty associated with their predictions is often…

机器学习 · 计算机科学 2022-06-06 Laurent Valentin Jospin , Wray Buntine , Farid Boussaid , Hamid Laga , Mohammed Bennamoun

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…

机器学习 · 统计学 2020-01-08 Shi-Ju Ran

Network data are increasingly collected along with other variables of interest. Our motivation is drawn from neurophysiology studies measuring brain connectivity networks for a sample of individuals along with their membership to a low or…

统计方法学 · 统计学 2018-09-11 Daniele Durante , David B. Dunson

We describe a method for Bayesian optimization by which one may incorporate data from multiple systems whose quantitative interrelationships are unknown a priori. All general (nonreal-valued) features of the systems are associated with…

机器学习 · 计算机科学 2020-01-06 Steven Atkinson , Sayan Ghosh , Natarajan Chennimalai-Kumar , Genghis Khan , Liping Wang

A system for Operational Risk management based on the computational paradigm of Bayesian Networks is presented. The algorithm allows the construction of a Bayesian Network targeted for each bank using only internal loss data, and takes into…

风险管理 · 定量金融 2012-02-14 V. Aquaro , M. Bardoscia , R. Bellotti , A. Consiglio , F. De Carlo , G. Ferri