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We develop an unsupervised machine learning algorithm for the automated discovery and identification of traveling waves in spatio-temporal systems governed by partial differential equations (PDEs). Our method uses sparse regression and…

Computational Physics · Physics 2020-05-20 Ariana Mendible , Steven L. Brunton , Aleksandr Y. Aravkin , Wes Lowrie , J. Nathan Kutz

We investigate the use of reduced-order modelling to run discrete element simulations at higher speeds. Taking a data-driven approach, we run many offline simulations in advance and train a model to predict the velocity field from the mass…

Computational Physics · Physics 2021-03-02 Erik Wallin , Martin Servin

This contribution describes the implementation of a data--driven shape optimization pipeline in a naval architecture application. We adopt reduced order models (ROMs) in order to improve the efficiency of the overall optimization, keeping a…

Numerical Analysis · Mathematics 2024-01-22 Nicola Demo , Giulio Ortali , Gianluca Gustin , Gianluigi Rozza , Gianpiero Lavini

Inferring reward functions from demonstrations and pairwise preferences are auspicious approaches for aligning Reinforcement Learning (RL) agents with human intentions. However, state-of-the art methods typically focus on learning a single…

Machine Learning · Computer Science 2022-01-04 Markus Peschl , Arkady Zgonnikov , Frans A. Oliehoek , Luciano C. Siebert

Adding flexible polymers to a Newtonian solvent confers complex properties to the resulting solution. The additional complexity substantially increases the computational cost of numerical simulations, which often makes them prohibitively…

Fluid Dynamics · Physics 2026-04-30 Christian Amor , Adrián Corrochano , Marco Edoardo Rosti , Soledad Le Clainche

To balance the quality and inference cost of a Foundation Model (FM, such as large language models (LLMs)) powered software, people often opt to train a routing model that routes requests to FMs with different sizes and capabilities.…

Machine Learning · Computer Science 2025-06-03 Kirill Vasilevski , Dayi Lin , Ahmed E. Hassan

The efficient estimation of an approximate model order is very important for real applications with multi-dimensional data if the observed low-rank data is corrupted by additive noise. In this paper, we present a novel robust method for…

Methodology · Statistics 2022-12-21 Alexey A. Korobkov , Marina K. Diugurova , Jens Haueisen , Martin Haardt

Augmenting mechanistic ordinary differential equation (ODE) models with machine-learnable structures is an novel approach to create highly accurate, low-dimensional models of engineering systems incorporating both expert knowledge and…

Dynamical Systems · Mathematics 2022-06-22 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

Parametric high-fidelity simulations are of interest for a wide range of applications. But the restriction of computational resources renders such models to be inapplicable in a real-time context or in multi-query scenarios. Model order…

Numerical Analysis · Mathematics 2019-02-28 Patrick Buchfink , Ashish Bhatt , Bernard Haasdonk

The generalized Langevin equation (GLE) is a useful framework for analyzing and modeling the dynamics of many-body systems in terms of low-dimensional reaction coordinates, with its specific form determined by the choice of projection…

Computational Physics · Physics 2025-05-22 Henrik Kiefer , Benjamin J. A. Héry , Lucas Tepper , Benjamin A. Dalton , Cihan Ayaz , Roland R. Netz

Multi-Agent Systems (MAS) have been successfully applied in industry for their ability to address complex, distributed problems, especially in IoT-based systems. Their efficiency in achieving given objectives and meeting design requirements…

Multiagent Systems · Computer Science 2025-06-09 Julien Soulé , Jean-Paul Jamont , Michel Occello , Louis-Marie Traonouez , Paul Théron

In this paper, a modification of A* algorithm is considered for the shortest path problem. A weightage is introduced in the heuristic part of the A* algorithm to improve its efficiency. An application of the algorithm is considered for UAV…

Artificial Intelligence · Computer Science 2023-06-29 Renju Rajan

Generating motions for robots interacting with objects of various shapes is a complex challenge, further complicated by the robot geometry and multiple desired behaviors. While current robot programming tools (such as inverse kinematics,…

Robotics · Computer Science 2025-06-19 Xuemin Chi , Hakan Girgin , Tobias Löw , Yangyang Xie , Teng Xue , Jihao Huang , Cheng Hu , Zhitao Liu , Sylvain Calinon

Finite element based simulation of phenomena governed by partial differential equations is a standard tool in many engineering workflows today. However, the simulation of complex geometries is computationally expensive. Many engineering…

Numerical Analysis · Mathematics 2019-08-07 Andreas Buhr

Efficient topology optimization based on the adaptive auxiliary reduced model reanalysis (AARMR) is proposed to improve computational efficiency and scale. In this method, a projection auxiliary reduced model (PARM) is integrated into the…

Computational Engineering, Finance, and Science · Computer Science 2023-01-04 Jichao Yin , Hu Wang , Shuhao Li , Daozhen Guo

Within a structural health monitoring (SHM) framework, we propose a simulation-based classification strategy to move towards online damage localization. The procedure combines parametric Model Order Reduction (MOR) techniques and Fully…

Machine Learning · Computer Science 2021-03-29 Luca Rosafalco , Matteo Torzoni , Andrea Manzoni , Stefano Mariani , Alberto Corigliano

Microstructural heterogeneity affects the macro-scale behavior of materials. Conversely, load distribution at the macro-scale changes the microstructural response. These up-scaling and down-scaling relations are often modeled using…

Materials Science · Physics 2023-06-13 Ashwini Gupta , Anindya Bhaduri , Lori Graham-Brady

We recently derived the unified continuum and variational multiscale formulation for fluid-structure interaction (FSI) using the Gibbs free energy. Restricting our attention to vascular FSI, we now reduce this arbitrary Lagrangian-Eulerian…

Computational Physics · Physics 2022-04-06 Ingrid S. Lan , Ju Liu , Weiguang Yang , Alison L. Marsden

In offline reinforcement learning (RL), the goal is to learn a highly rewarding policy based solely on a dataset of historical interactions with the environment. The ability to train RL policies offline can greatly expand the applicability…

Machine Learning · Computer Science 2021-03-03 Rahul Kidambi , Aravind Rajeswaran , Praneeth Netrapalli , Thorsten Joachims

We are concerned with employing Model Order Reduction (MOR) to efficiently solve parameterized multiscale problems using the Localized Orthogonal Decomposition (LOD) multiscale method. Like many multiscale methods, the LOD follows the idea…

Numerical Analysis · Mathematics 2023-07-13 Tim Keil , Stephan Rave