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Inferring latent interaction structures from observed dynamics is a fundamental inverse problem in many-body interacting systems. Most neural approaches rely on black-box surrogates over trainable graphs, achieving accuracy at the expense…

Machine Learning · Computer Science 2026-04-15 Xiaoxiao Liang , Juyuan Zhang , Liming Pan , Linyuan Lü

This paper introduces a deep learning approach for predicting time-dependent full-field damage in concrete. The study uses an auto-regressive U-Net model to predict the evolution of the scalar damage field in a unit cell given…

Machine Learning · Computer Science 2026-03-09 Liya Gaynutdinova , Petr Havlásek , Ondřej Rokoš , Fleur Hendriks , Martin Doškář

Inferring causal relations from time series measurements is an ill-posed mathematical problem, where typically an infinite number of potential solutions can reproduce the given data. We explore in depth a strategy to disambiguate between…

Dynamical Systems · Mathematics 2020-11-04 George Stepaniants , Bingni W. Brunton , J. Nathan Kutz

In this paper, we propose an operator-inference-based reduction approach for contact problems, leveraging snapshots from simulations without active contact. Contact problems are solved using adjoint methods, by switching to the dual system,…

Numerical Analysis · Mathematics 2025-05-26 Diana Manvelyan-Stroot , Yevgeniya Filanova , Igor Pontes Duff , Peter Benner , Utz Wever

This work presents a comparative study of existing and new techniques to detect knee injuries by leveraging Stanford's MRNet Dataset. All approaches are based on deep learning and we explore the comparative performances of transfer learning…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 David Azcona , Kevin McGuinness , Alan F. Smeaton

We address the challenge of learning safe and robust decision policies in presence of uncertainty in context of the real scientific problem of adaptive resource oversubscription to enhance resource efficiency while ensuring safety against…

Machine Learning · Computer Science 2024-01-17 Lu Wang , Mayukh Das , Fangkai Yang , Chao Duo , Bo Qiao , Hang Dong , Si Qin , Chetan Bansal , Qingwei Lin , Saravan Rajmohan , Dongmei Zhang , Qi Zhang

The safety of rotorcraft operating in cold environments is jeopardised by the possibility of ice accretion on the rotor blades. Eventually, ice can shed from the blade due to the high centrifugal forces and impact other parts of the…

Numerical Analysis · Mathematics 2021-09-01 Andrea Rausa , Myles Morelli , Alberto Guardone

We propose a model-free framework for sensitivity analysis of individual treatment effects (ITEs), building upon ideas from conformal inference. For any unit, our procedure reports the $\Gamma$-value, a number which quantifies the minimum…

Methodology · Statistics 2022-04-26 Ying Jin , Zhimei Ren , Emmanuel J. Candès

Within the field of causal inference, we consider the problem of estimating heterogeneous treatment effects from data. We propose and validate a novel approach for learning feature representations to aid the estimation of the conditional…

Machine Learning · Statistics 2022-06-23 Michael C. Burkhart , Gabriel Ruiz

High-fidelity simulation of complex physical systems is exorbitantly expensive and inaccessible across spatiotemporal scales. Recently, there has been an increasing interest in leveraging deep learning to augment scientific data based on…

Machine Learning · Computer Science 2022-08-03 Pu Ren , Chengping Rao , Yang Liu , Zihan Ma , Qi Wang , Jian-Xun Wang , Hao Sun

Interpretability in machine learning is critical for the safe deployment of learned policies across legally-regulated and safety-critical domains. While gradient-based approaches in reinforcement learning have achieved tremendous success in…

For multilayer structures, interfacial failure is one of the most important elements related to device reliability. For cohesive zone modelling, traction-separation relations represent the adhesive interactions across interfaces. However,…

Computational Engineering, Finance, and Science · Computer Science 2023-01-02 Congjie Wei , Jiaxin Zhang , Kenneth M. Liechti , Chenglin Wu

Evaluating impact-induced damage in composite materials under varying temperature conditions is essential for ensuring structural integrity and reliable performance in aerospace, polar, and other extreme-environment applications. As matrix…

We consider the problem of learning causal directed acyclic graphs from an observational joint distribution. One can use these graphs to predict the outcome of interventional experiments, from which data are often not available. We show…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schölkopf

Observational causal inference is useful for decision making in medicine when randomized clinical trials (RCT) are infeasible or non generalizable. However, traditional approaches fail to deliver unconfounded causal conclusions in practice.…

In biomedical research, repeated measurements within each subject are often processed to remove artifacts and unwanted sources of variation. The resulting data are used to construct derived outcomes that act as proxies for scientific…

Methodology · Statistics 2026-02-03 Zihang Wang , Razieh Nabi , Benjamin B. Risk

In this work, we propose a network which can utilize computational cheap low-fidelity data together with limited high-fidelity data to train surrogate models, where the multi-fidelity data are generated from multiple underlying models. The…

Computational Physics · Physics 2020-10-06 Yating Wang , Guang Lin

Machine learning can help personalized decision support by learning models to predict individual treatment effects (ITE). This work studies the reliability of prediction-based decision-making in a task of deciding which action $a$ to take…

Machine Learning · Statistics 2019-06-07 Iiris Sundin , Peter Schulam , Eero Siivola , Aki Vehtari , Suchi Saria , Samuel Kaski

Learning causal structures from observational data is a fundamental problem facing important computational challenges when the number of variables is large. In the context of linear structural equation models (SEMs), this paper focuses on…

Machine Learning · Computer Science 2024-02-21 Shuyu Dong , Kento Uemura , Akito Fujii , Shuang Chang , Yusuke Koyanagi , Koji Maruhashi , Michèle Sebag

Since early machine learning models, metrics such as accuracy and precision have been the de facto way to evaluate and compare trained models. However, a single metric number doesn't fully capture the similarities and differences between…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Ahmad Mustapha , Wael Khreich , Wes Masri