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Data-driven model reduction methods provide a nonintrusive way of constructing computationally efficient surrogates of high-fidelity models for real-time control of soft robots. This work leverages the Lagrangian nature of the model…

Robotics · Computer Science 2024-07-15 Harsh Sharma , Iman Adibnazari , Jacobo Cervera-Torralba , Michael T. Tolley , Boris Kramer

It is challenging to perform system identification on soft robots due to their underactuated, high-dimensional dynamics. In this work, we present a data-driven modeling framework, based on geometric mechanics (also known as gauge theory)…

Reduced-order modelling and low-dimensional surrogate models generated using machine learning algorithms have been widely applied in high-dimensional dynamical systems to improve the algorithmic efficiency. In this paper, we develop a…

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 paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

Computation · Statistics 2024-05-10 Jianhua Xian , Ziqi Wang

Flexible spacecraft structures present significant challenges for physical and control system design due to nonlinear dynamics, mission constraints, environmental variables, and changing operational conditions. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Matthew Hilsenrath , Daniel R. Herber

In this paper, we focus on the data-driven discovery of a general second-order particle-based model that contains many state-of-the-art models for modeling the aggregation and collective behavior of interacting agents of similar size and…

Machine Learning · Statistics 2023-11-03 Jinchao Feng , Charles Kulick , Sui Tang

We introduce the concept of decision-focused surrogate modeling for solving computationally challenging nonlinear optimization problems in real-time settings. The proposed data-driven framework seeks to learn a simpler, e.g. convex,…

Optimization and Control · Mathematics 2023-12-27 Rishabh Gupta , Qi Zhang

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

The optimization of industrial processes remains a critical challenge, particularly when no mathematical formulation of objective functions or constraints is available. This study addresses this issue by proposing a surrogate-based,…

Computational Engineering, Finance, and Science · Computer Science 2025-07-16 Eider Garate-Perez , Kerman López de Calle-Etxabe , Susana Ferreiro

Data-driven modeling can suffer from a constant demand for data, leading to reduced accuracy and impractical for engineering applications due to the high cost and scarcity of information. To address this challenge, we propose a progressive…

Machine Learning · Computer Science 2023-10-09 Teeratorn Kadeethum , Daniel O'Malley , Youngsoo Choi , Hari S. Viswanathan , Hongkyu Yoon

Bridging the sim-to-real gap remains a fundamental challenge in robotics, as accurate dynamic parameter estimation is essential for reliable model-based control, realistic simulation, and safe deployment of manipulators. Traditional…

Robotics · Computer Science 2025-12-10 Mohammed Elseiagy , Tsige Tadesse Alemayoh , Ranulfo Bezerra , Shotaro Kojima , Kazunori Ohno

The dramatic increase of observational data across industries provides unparalleled opportunities for data-driven decision making and management, including the manufacturing industry. In the context of production, data-driven approaches can…

Optimization and Control · Mathematics 2018-01-09 Najibesadat Sadati , Ratna Babu Chinnam , Milad Zafar Nezhad

Accurate models of mechanical system dynamics are often critical for model-based control and reinforcement learning. Fully data-driven dynamics models promise to ease the process of modeling and analysis, but require considerable amounts of…

Machine Learning · Computer Science 2021-04-19 A. René Geist , Sebastian Trimpe

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

The study of motion in animals and robots has been aided by insights from geometric mechanics. In friction dominated systems, a mechanical "connection" can provide a high fidelity mechanical model. The connection is a co-vector (Lie…

Biological Physics · Physics 2018-01-26 Brian A. Bittner , Ross L. Hatton , Shai Revzen

While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

Machine Learning · Statistics 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

The deployment of autonomous navigation systems on ships necessitates accurate motion prediction models tailored to individual vessels. Traditional physics-based models, while grounded in hydrodynamic principles, often fail to account for…

Structured reduced-order modeling is a central component in the computer-aided design of control systems in which cheap-to-evaluate low-dimensional models with physically meaningful internal structures are computed. In this work, we develop…

Numerical Analysis · Mathematics 2026-05-25 Sean Reiter , Steffen W. R. Werner

Modeling complex dynamical systems under varying conditions is computationally intensive, often rendering high-fidelity simulations intractable. Although reduced-order models (ROMs) offer a promising solution, current methods often struggle…

Machine Learning · Computer Science 2026-01-16 Andrew F. Ilersich , Kevin Course , Prasanth B. Nair
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