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Model-form uncertainties in complex mechanics systems are a major obstacle for predictive simulations. Reducing these uncertainties is critical for stake-holders to make risk-informed decisions based on numerical simulations. For example,…

Fluid Dynamics · Physics 2018-09-11 J. -L. Wu , J. -X. Wang , H. Xiao

Big Data often presents as massive non-probability samples. Not only is the selection mechanism often unknown, but larger data volume amplifies the relative contribution of selection bias to total error. Existing bias adjustment approaches…

Methodology · Statistics 2022-03-29 Ali Rafei , Carol A. C. Flannagan , Brady T. West , Michael R. Elliott

In many complex, real-world situations, problem solving and decision making require effective reasoning about causation and uncertainty. However, human reasoning in these cases is prone to confusion and error. Bayesian networks (BNs) are an…

The decreasing cost and improved sensor and monitoring system technology (e.g. fiber optics and strain gauges) have led to more measurements in close proximity to each other. When using such spatially dense measurement data in Bayesian…

Methodology · Statistics 2023-08-21 Ioannis Koune , Arpad Rozsas , Arthur Slobbe , Alice Cicirello

In the complex multi-state system (MSS), reliability analysis is a significant research content, both for equipment design, manufacturing, usage and maintenance. Universal Generating Function (UGF) is an important method in the reliability…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Xu Liu , Wen Yao , Xiaohu Zheng , Yingchun Xu

The paper extends Bayesian networks (BNs) by a mechanism for dynamic changes to the probability distributions represented by BNs. One application scenario is the process of knowledge acquisition of an observer interacting with a system. In…

Logic in Computer Science · Computer Science 2018-07-10 Benjamin Cabrera , Tobias Heindel , Reiko Heckel , Barbara König

Branch and bound algorithms have been developed for reliability analysis of coherent systems. They exhibit a set of advantages; in particular, they can find a computationally efficient representation of a system failure or survival event,…

Optimization and Control · Mathematics 2024-10-31 Ji-Eun Byun , Hyeuk Ryu , Daniel Straub

Robust machine learning models with accurately calibrated uncertainties are crucial for safety-critical applications. Probabilistic machine learning and especially the Bayesian formalism provide a systematic framework to incorporate…

Machine Learning · Computer Science 2022-10-11 Sumegha Premchandar , Sandeep Madireddy , Sanket Jantre , Prasanna Balaprakash

Failure probabilities for grid components are often estimated using parametric models which can capitalize on operational grid data. This work formulates a Bayesian hierarchical framework designed to integrate data and domain expertise to…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Laurel N. Dunn , Ioanna Kavvada , Mathilde Badoual , Scott J. Moura

Traditional network analysis focuses on binary edges, while real-world relationships are more nuanced, encompassing cooperation, neutrality, and conflict. The rise of negative edges in social media discussions spurred interest in analyzing…

Social and Information Networks · Computer Science 2026-02-03 Marc Schalberger , Cornelius Fritz

Learning a Bayesian networks with bounded treewidth is important for reducing the complexity of the inferences. We present a novel anytime algorithm (k-MAX) method for this task, which scales up to thousands of variables. Through extensive…

Artificial Intelligence · Computer Science 2018-02-08 Mauro Scanagatta , Giorgio Corani , Marco Zaffalon , Jaemin Yoo , U Kang

A major challenge for reinforcement learning is automatically generating curricula to reduce training time or improve performance in some target task. We introduce SEBNs (Skill-Environment Bayesian Networks) which model a probabilistic…

Artificial Intelligence · Computer Science 2025-02-24 Vincent Hsiao , Mark Roberts , Laura M. Hiatt , George Konidaris , Dana Nau

The collection of data on populations of networks is becoming increasingly common, where each data point can be seen as a realisation of a network-valued random variable. A canonical example is that of brain networks: a typical neuroimaging…

Methodology · Statistics 2021-04-13 Brieuc Lehmann , Simon White

Advances in data collection using inexpensive sensors have enabled monitoring the performance of dynamic systems, and to implement appropriate control actions to improve their performance. Moreover, engineering systems often operate under…

Quantum Physics · Physics 2021-07-05 Sima E. Borujeni , Saideep Nannapaneni

As software in industry grows in size and complexity, so does the volume of engineering data that companies generate and use. Ideally, this data could be used for many purposes, including informing decisions on engineering priorities.…

Software Engineering · Computer Science 2026-04-01 Serkan Kirbas , Federica Sarro , David Williams

Accurate parking availability prediction is critical for intelligent transportation systems, but real-world deployments often face data sparsity, noise, and unpredictable changes. Addressing these challenges requires models that are not…

Machine Learning · Computer Science 2026-03-31 Alireza Nezhadettehad , Arkady Zaslavsky , Abdur Rakib , Seng W. Loke

Probabilistic Boolean networks (PBNs) is an important mathematical framework widely used for modelling and analysing biological systems. PBNs are suited for modelling large biological systems, which more and more often arise in systems…

Computational Engineering, Finance, and Science · Computer Science 2016-05-04 Andrzej Mizera , Jun Pang , Qixia Yuan

We extend the well-known and widely used Exponential Random Graph Model (ERGM) by including nodal random effects to compensate for heterogeneity in the nodes of a network. The Bayesian framework for ERGMs proposed by Caimo and Friel (2011)…

Applications · Statistics 2015-01-13 Stephanie Thiemichen , Nial Friel , Alberto Caimo , Göran Kauermann

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

A new modelling approach for the analysis of weighted networks with ordinal/polytomous dyadic values is introduced. Specifically, it is proposed to model the weighted network connectivity structure using a hierarchical multilayer…

Methodology · Statistics 2019-08-05 Alberto Caimo , Isabella Gollini