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The industrial application motivating this work is the fatigue computation of aircraft engines' high-pressure turbine blades. The material model involves nonlinear elastoviscoplastic behavior laws, for which the parameters depend on the…

Numerical Analysis · Mathematics 2019-08-12 Fabien Casenave , Nissrine Akkari

Prediction and optimisation of a wheel loader's dynamic behaviour is a challenge due to tightly coupled, non-linear subsystems of different technical domains. Furthermore, a simulation regarding performance, efficiency, and operability…

Computational Engineering, Finance, and Science · Computer Science 2011-08-30 Reno Filla

Sequence prediction models can be learned from example sequences with a variety of training algorithms. Maximum likelihood learning is simple and efficient, yet can suffer from compounding error at test time. Reinforcement learning such as…

Machine Learning · Computer Science 2019-07-02 Bowen Tan , Zhiting Hu , Zichao Yang , Ruslan Salakhutdinov , Eric Xing

In this investigation, we outline a data-assisted approach that employs random forest classifiers for local and dynamic combustion submodel assignment in turbulent-combustion simulations. This method is applied in simulations of a…

Fluid Dynamics · Physics 2021-01-19 Wai Tong Chung , Aashwin Ananda Mishra , Nikolaos Perakis , Matthias Ihme

Inferring unknown constraints is a challenging and crucial problem in many robotics applications. When only expert demonstrations are available, it becomes essential to infer the unknown domain constraints to deploy additional agents…

Robotics · Computer Science 2023-12-06 Dimitris Papadimitriou , Jingqi Li

This paper proposes a data-driven framework to solve time-varying optimization problems associated with unknown linear dynamical systems. Making online control decisions to regulate a dynamical system to the solution of an optimization…

Optimization and Control · Mathematics 2021-09-08 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

An adaptive projection-based reduced-order model (ROM) formulation is presented for model-order reduction of problems featuring chaotic and convection-dominant physics. An efficient method is formulated to adapt the basis at every time-step…

Computational Physics · Physics 2023-08-09 Cheng Huang , Karthik Duraisamy

Model-based reinforcement learning could enable sample-efficient learning by quickly acquiring rich knowledge about the world and using it to improve behaviour without additional data. Learned dynamics models can be directly used for…

Machine Learning · Computer Science 2019-10-15 Rinu Boney , Juho Kannala , Alexander Ilin

We introduce a data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the assumption that the nonlinear system behaves…

Optimization and Control · Mathematics 2016-04-04 Jake Bouvrie , Boumediene Hamzi

Operator learning is a data-driven approximation of mappings between infinite-dimensional function spaces, such as the solution operators of partial differential equations. Kernel-based operator learning can offer accurate, theoretically…

Machine Learning · Computer Science 2025-12-22 Xinyue Yu , Hayden Schaeffer

This paper presents a new regularization approach -- termed OpReg-Boost -- to boost the convergence and lessen the asymptotic error of online optimization and learning algorithms. In particular, the paper considers online algorithms for…

Machine Learning · Computer Science 2022-04-05 Nicola Bastianello , Andrea Simonetto , Emiliano Dall'Anese

Low-rank representation learning has emerged as a powerful tool for recovering missing values in power load data due to its ability to exploit the inherent low-dimensional structures of spatiotemporal measurements. Among various techniques,…

Machine Learning · Computer Science 2025-06-24 Yan Xia , Hao Feng , Hongwei Sun , Junjie Wang , Qicong Hu

Turbulence remains one of the last unresolved problems of classical physics and a major bottleneck to accurate flow prediction in climate, aerospace, and energy systems. Industrial simulations therefore rely on averaged representations of…

Fluid Dynamics · Physics 2026-05-18 Zhuoran Liu , Haochen Wang , Zhuolin Zhao , Heng Xiao

We develop a new and general encode-approximate-reconstruct operator learning model that leverages learned neural representations of bases for input and output function distributions. We introduce the concepts of \textit{numerical operator…

Machine Learning · Computer Science 2025-07-11 Jacob Hauck , Yanzhi Zhang

Efficiently harvesting thermodynamic resources requires a precise understanding of their structure. This becomes explicit through the lens of information engines -- thermodynamic engines that use information as fuel. Maximizing the work…

Statistical Mechanics · Physics 2024-02-28 Alexander B. Boyd , James P. Crutchfield , Mile Gu , Felix C. Binder

In this work, we aim at efficiently solving a parametrized family of optimal transport problems by using model order reduction methods. We propose a reduced-order model by adding to the primal (respectively dual) version of the…

Numerical Analysis · Mathematics 2026-04-13 Elise Bonnet-Weill , Virginie Ehrlacher , Luca Nenna

Decision-focused learning integrates predictive modeling and combinatorial optimization by training models to directly improve decision quality rather than prediction accuracy alone. Differentiating through combinatorial optimization…

Machine Learning · Computer Science 2026-01-30 Victor Spitzer , Francois Sanson

This work introduces a novel method to generate snapshot data for operator inference that guarantees the exact reconstruction of intrusive projection-based reduced-order models (ROMs). To ensure exact reconstruction, the operator inference…

Numerical Analysis · Mathematics 2026-02-18 Henrik Rosenberger , Benjamin Sanderse , Giovanni Stabile

In this paper, we present a generic approach of a dynamical data-driven model order reduction technique for three-dimensional fluid-structure interaction problems. A low-order continuous linear differential system is identified from…

Computational Engineering, Finance, and Science · Computer Science 2023-01-25 Claire Dupont , Florian De Vuyst , Anne-Virginie Salsac

This work introduces an empirical quadrature-based hyperreduction procedure and greedy training algorithm to effectively reduce the computational cost of solving convection-dominated problems with limited training. The proposed approach…

Numerical Analysis · Mathematics 2023-09-14 Marzieh Alireza Mirhoseini , Matthew J. Zahr