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This paper proposes a novel approach for learning a data-driven quadratic manifold from high-dimensional data, then employing this quadratic manifold to derive efficient physics-based reduced-order models. The key ingredient of the approach…

Numerical Analysis · Mathematics 2022-12-29 Rudy Geelen , Stephen Wright , Karen Willcox

Plasma supports collective modes and particle-wave interactions that leads to complex behavior in inertial fusion energy applications. While plasma can sometimes be modeled as a charged fluid, a kinetic description is useful towards the…

Plasma Physics · Physics 2022-11-28 Archis S. Joglekar , Alexander G. R. Thomas

We consider the motion of a finite though large number of particles in the whole space R n. Particles move freely until they experience pairwise collisions. We use our recent theory of divergence-controlled positive symmetric tensors in…

Analysis of PDEs · Mathematics 2019-03-15 Denis Serre

We present a data-driven shared control algorithm that can be used to improve a human operator's control of complex dynamic machines and achieve tasks that would otherwise be challenging, or impossible, for the user on their own. Our method…

Robotics · Computer Science 2020-06-15 Alexander Broad , Ian Abraham , Todd Murphey , Brenna Argall

We systematically compare an event-by-event heavy-ion collision model to data from the Large Hadron Collider. Using a general Bayesian method, we probe multiple model parameters including fundamental quark-gluon plasma properties such as…

We present a novel method for learning reduced-order models of dynamical systems using nonlinear manifolds. First, we learn the manifold by identifying nonlinear structure in the data through a general representation learning problem. The…

Numerical Analysis · Mathematics 2026-05-27 Rudy Geelen , Laura Balzano , Stephen Wright , Karen Willcox

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

Magnetic reconnection (MR) plays a fundamental role in plasma dynamics under many different conditions, from space and astrophysical environments to laboratory devices. High-resolution in-situ measurements from space missions allow to study…

This work explores the application of deep operator learning principles to a problem in statistical physics. Specifically, we consider the linear kinetic equation, consisting of a differential advection operator and an integral collision…

Numerical Analysis · Mathematics 2024-02-27 Jae Yong Lee , Steffen Schotthöfer , Tianbai Xiao , Sebastian Krumscheid , Martin Frank

We propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and…

Applied Physics · Physics 2025-08-11 Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

Particle- and agent-based systems are a ubiquitous modeling tool in many disciplines. We consider the fundamental problem of inferring interaction kernels from observations of agent-based dynamical systems given observations of…

Machine Learning · Computer Science 2020-04-01 Mauro Maggioni , Jason Miller , Ming Zhong

The paper presents a complete pipeline for learning continuous motion control policies for a mobile robot when only a non-differentiable physics simulator of robot-terrain interactions is available. The multi-modal state estimation of the…

Robotics · Computer Science 2022-06-22 Martin Pecka , Karel Zimmermann , Matěj Petrlík , Tomáš Svoboda

Data-driven methods play an increasingly important role in discovering geometric, structural, and semantic relationships between 3D shapes in collections, and applying this analysis to support intelligent modeling, editing, and…

Graphics · Computer Science 2015-02-25 Kai Xu , Vladimir G. Kim , Qixing Huang , Evangelos Kalogerakis

We extract data-driven, intrinsic spatial coordinates from observations of the dynamics of large systems of coupled heterogeneous agents. These coordinates then serve as an emergent space in which to learn predictive models in the form of…

Adaptation and Self-Organizing Systems · Physics 2020-12-24 Felix P. Kemeth , Tom Bertalan , Thomas Thiem , Felix Dietrich , Sung Joon Moon , Carlo R. Laing , Ioannis G. Kevrekidis

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

In this paper we demonstrate the limitations of common rigid-body contact models used in the robotics community by comparing them to a collection of data-driven and data-reinforced models that exploit underlying structure inspired by the…

Robotics · Computer Science 2017-10-18 Nima Fazeli , Samuel Zapolsky , Evan Drumwright , Alberto Rodriguez

Molecular dynamics simulations produce data with complex nonlinear dynamics. If the timestep behavior of such a dynamic system can be represented by a linear operator, future states can be inferred directly without expensive simulations.…

Machine Learning · Computer Science 2021-05-27 Willis Hoke , Daniel Shea , Stephen Casey

We apply the physics-learning duality to molecular systems by complementing the physical description of interacting particles with a dual learning description, where each particle is modeled as an agent minimizing a loss function. In the…

Chemical Physics · Physics 2025-04-30 Yaroslav Gusev , Vitaly Vanchurin

In dynamic simulation of complete wheel loaders, one interesting aspect, specific for the working task, is the momentary power distribution between drive train and hydraulics, which is balanced by the operator. This paper presents the…

Computational Engineering, Finance, and Science · Computer Science 2011-08-30 Reno Filla , Allan Ericsson , Jan-Ove Palmberg

Generalising the work of Lenard and Bernstein, we introduce a new, fully relativistic model to describe collisional plasmas. Like the Fokker-Planck operator, this equation represents velocity diffusion and conserves particle number.…

Plasma Physics · Physics 2009-10-23 Adam Noble , David Burton