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Many natural materials exhibit highly complex, nonlinear, anisotropic, and heterogeneous mechanical properties. Recently, it has been demonstrated that data-driven strain energy functions possess the flexibility to capture the behavior of…

Computational Engineering, Finance, and Science · Computer Science 2023-10-09 Vahidullah Tac , Manuel K Rausch , Ilias Bilionis , Francisco Sahli Costabal , Adrian Buganza Tepole

The control for aggressive driving of autonomous cars is challenging due to the presence of significant tyre slip. Data-driven and mechanism-based methods for the modeling and control of autonomous cars under aggressive driving conditions…

Robotics · Computer Science 2023-02-07 Yiwen Lu , Bo Yang , Yilin Mo

Modeling and control of high-dimensional, nonlinear robotic systems remains a challenging task. While various model- and learning-based approaches have been proposed to address these challenges, they broadly lack generalizability to…

Robotics · Computer Science 2022-09-21 John Irvin Alora , Mattia Cenedese , Edward Schmerling , George Haller , Marco Pavone

The entry phase constitutes a design driver for aerospace systems that include such a critical step. This phase is characterized by hypersonic flows encompassing multiscale phenomena that require advanced modeling capabilities. However,…

This paper presents a novel digital control strategy successfully implemented for a soft magnetic material characterization bench (Epstein frame type). The main objective is to control the magnetic induction waveform whatever the applied…

Optimization and Control · Mathematics 2017-03-17 Loïc Michel , Olivier Ghibaudo , Oualid Messal , Afef Kedous-Lebouc , Cédric Boudinet , François Blache , Antoine Labonne

In this paper we concentrate on an alternative modeling strategy for positive data that exhibit spatial or spatio-temporal dependence. Specifically we propose to consider stochastic processes obtained trough a monotone transformation of…

Methodology · Statistics 2020-04-08 M. Bevilacqua , C. Caamaño , C. Gaetan

Modern computational methods, involving highly sophisticated mathematical formulations, enable several tasks like modeling complex physical phenomenon, predicting key properties and design optimization. The higher fidelity in these computer…

Computational Engineering, Finance, and Science · Computer Science 2023-04-13 Lele Luan , Nesar Ramachandra , Sandipp Krishnan Ravi , Anindya Bhaduri , Piyush Pandita , Prasanna Balaprakash , Mihai Anitescu , Changjie Sun , Liping Wang

Inspired by recent results on self-avoiding inextensible curves, we propose and experimentally investigate a numerical method for simulating isometric plate bending without self-intersections. We consider a nonlinear two-dimensional…

Numerical Analysis · Mathematics 2021-08-12 Sören Bartels , Frank Meyer , Christian Palus

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

This paper presents a new formulation for model-free robust optimal regulation of continuous-time nonlinear systems. The proposed reinforcement learning based approach, referred to as incremental adaptive dynamic programming (IADP),…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Cong Li , Yongchao Wang , Fangzhou Liu , Qingchen Liu , Martin Buss

Data-driven modal decompositions are useful tools for compressing data or identifying dominant structures. Popular ones like the dynamic mode decomposition (DMD) and the proper orthogonal decomposition (POD) are defined with continuous…

Fluid Dynamics · Physics 2025-11-06 Manuel Ratz , Alessandro Parente , Miguel Alfonso Mendez

Diffusion models are powerful deep generative models, but unlike classical models, they lack an explicit low-dimensional latent space that parameterizes the data manifold. This absence makes it difficult to perform manifold-aware…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Shinnosuke Saito , Takashi Matsubara

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

In the present paper a new data-driven model is proposed to close and increase accuracy of RANS equations. The divergence of the Reynolds Stress Tensor (RST) is obtained through a Neural Network (NN) whose architecture and input choice…

Fluid Dynamics · Physics 2022-10-19 Stefano Berrone , Davide Oberto

Elasticity images map biomechanical properties of soft tissues to aid in the detection and diagnosis of pathological states. In particular, quasi-static ultrasonic (US) elastography techniques use force-displacement measurements acquired…

Machine Learning · Computer Science 2018-09-13 Cameron Hoerig , Jamshid Ghaboussi , Michael F. Insana

The physical sciences are replete with dynamical systems that require the resolution of a wide range of length and time scales. This presents significant computational challenges since direct numerical simulation requires discretization at…

Machine Learning · Computer Science 2025-11-11 Andrew F. Ilersich , Prasanth B. Nair

Modeling nonstationarity that often prevails in extremal dependence of spatial data can be challenging, and typically requires bespoke or complex spatial models that are difficult to estimate. Inference for stationary and isotropic models…

Methodology · Statistics 2026-04-21 Xuanjie Shao , Jordan Richards , Raphael Huser

This work presents a data-driven Koopman operator-based modeling method using a model averaging technique. While the Koopman operator has been used for data-driven modeling and control of nonlinear dynamics, it is challenging to accurately…

Optimization and Control · Mathematics 2024-12-05 Daisuke Uchida , Karthik Duraisamy

Predicting residual stresses has always been a topic of significance due to its implications in the development of enhanced materials and better processing conditions. In this work, an analytical model for prediction of residual stresses is…

Materials Science · Physics 2024-03-28 Rachit Dhar , Ankur Krishna , Bilal Muhammed

It is well-known that inverse dynamics models can improve tracking performance in robot control. These models need to precisely capture the robot dynamics, which consist of well-understood components, e.g., rigid body dynamics, and effects…

Robotics · Computer Science 2022-05-30 Moritz Reuss , Niels van Duijkeren , Robert Krug , Philipp Becker , Vaisakh Shaj , Gerhard Neumann