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Fiber bundle models (FBM's) have been used to model the failure of fibrous composites as load-sharing systems since the 1960's when Rosen (1964 and 1965) conducted some remarkable experiments on unidirectional fibrous composites. These…

Applications · Statistics 2019-03-07 Shuang Li , James Lynch

Models play an essential role in the design process of cyber-physical systems. They form the basis for simulation and analysis and help in identifying design problems as early as possible. However, the construction of models that comprise…

The success of modern deep learning is attributed to two key elements: huge amounts of training data and large model sizes. Where a vast amount of data allows the model to learn more features, the large model architecture boosts the…

Machine Learning · Computer Science 2024-10-08 Muhammad Asif Khan , Ridha Hamila , Hamid Menouar

Methods of performing anomaly detection on high-dimensional data sets are needed, since algorithms which are trained on data are only expected to perform well on data that is similar to the training data. There are theoretical results on…

Machine Learning · Computer Science 2020-11-13 Forrest Laine , Claire Tomlin

Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves, as particles do in slowly sheared…

Accurate prediction of structural failure modes under seismic excitations is essential for seismic risk and resilience assessment. Traditional simulation-based approaches often result in imbalanced datasets dominated by non-failure or…

Machine Learning · Computer Science 2026-02-12 Jungho Kim , Taeyong Kim

We analyze how accurately supervised machine learning techniques can predict the lowest energy levels of one-dimensional noninteracting ultracold atoms subject to the correlated disorder due to an optical speckle field. Deep neural networks…

Quantum Gases · Physics 2019-04-10 S. Pilati , P. Pieri

Small disturbances can trigger functional breakdowns in complex systems. A challenging task is to infer the structural cause of a disturbance in a networked system, soon enough to prevent a catastrophe. We present a graph neural network…

Physics and Society · Physics 2020-06-11 Edward Laurence , Charles Murphy , Guillaume St-Onge , Xavier Roy-Pomerleau , Vincent Thibeault

Motivated by the growing proliferation of federated learning (FL) in edge environments, we present the first systematic characterization of transport-layer breaking points in FL systems operating under conditions of highly constrained…

Networking and Internet Architecture · Computer Science 2026-05-06 Mike Mwanje , Okemawo Obadofin , Theophilus Benson , Joao Barros

In software engineering, deep learning models are increasingly deployed for critical tasks such as bug detection and code review. However, overfitting remains a challenge that affects the quality, reliability, and trustworthiness of…

Software Engineering · Computer Science 2024-05-21 Hao Li , Gopi Krishnan Rajbahadur , Dayi Lin , Cor-Paul Bezemer , Zhen Ming , Jiang

Training data-driven approaches for complex industrial system health monitoring is challenging. When data on faulty conditions are rare or not available, the training has to be performed in a unsupervised manner. In addition, when the…

Machine Learning · Statistics 2021-11-24 Gabriel Michau , Olga Fink

We study the time evolution of damage in a fiber bundle model in which the range of interaction of fibers varies through an adjustable stress transfer function recently introduced. We find that the lifetime of the material exhibits a…

Statistical Mechanics · Physics 2009-11-07 Oluwole E. Yewande , Yamir Moreno , Ferenc Kun , Raul Cruz Hidalgo , Hans J. Herrmann

Widespread processes in nature and technology are governed by the dynamical transition whereby a material in an initially solid-like state then yields plastically. Major unresolved questions concern whether any material will yield smoothly…

Statistical Mechanics · Physics 2022-11-23 Joseph Pollard , Suzanne M Fielding

Failure in disordered solids is accompanied by intermittent fluctuations extending over a broad range of scales. The implied scaling has been previously associated with either spinodal or critical points. We use an analytically transparent…

Disordered Systems and Neural Networks · Physics 2020-01-14 Hudson Borja da Rocha , Lev Truskinovsky

Deep neural networks (DNNs) at convergence consistently represent the training data in the last layer via a highly symmetric geometric structure referred to as neural collapse. This empirical evidence has spurred a line of theoretical…

Machine Learning · Computer Science 2024-10-08 Arthur Jacot , Peter Súkeník , Zihan Wang , Marco Mondelli

The hypothesis of critical failure relates the presence of an ultimate stability point in the structural constitutive equation of materials to a divergence of characteristic scales in the microscopic dynamics responsible for deformation.…

Statistical Mechanics · Physics 2018-05-16 Jordi Baró , Jörn Davidsen

We study the problem of scheduling jobs on fault-prone machines communicating via a shared channel, also known as multiple-access channel. We have $n$ arbitrary length jobs to be scheduled on $m$ identical machines, $f$ of which are prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Marek Klonowski , Dariusz R. Kowalski , Jarosław Mirek , Prudence W. H. Wong

Fault detection is a key challenge in the management of complex systems. In the context of SparkCognition's efforts towards predictive maintenance in large scale industrial systems, this problem is often framed in terms of anomaly detection…

Machine Learning · Computer Science 2024-05-29 Elad Liebman

Extraneous variables are variables that are irrelevant for a certain task, but heavily affect the distribution of the available data. In this work, we show that the presence of such variables can degrade the performance of deep-learning…

Machine Learning · Computer Science 2020-02-27 Aakash Kaku , Sreyas Mohan , Avinash Parnandi , Heidi Schambra , Carlos Fernandez-Granda

A load sharing system has several components and the failure of one component can affect the lifetime of the surviving components. Since component failure does not equate to system failure for different system designs, the analysis of the…

Applications · Statistics 2023-07-20 Tim Pesch , Erhard Cramer , Edward Cripps , Adriano Polpo
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