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This paper presents a new data-driven finite element framework that is applicable to a broad range of engineering simulation problems. In the data-driven approach, the conservation laws and boundary conditions are satisfied by means of the…

计算工程、金融与科学 · 计算机科学 2025-09-09 Adriana Kuliková , Andrei G. Shvarts , Łukasz Kaczmarczyk , Chris J. Pearce

Existing research largely attributes the global sequence modeling capability of Transformers to the explicit computation of attention weights, a process that inherently incurs quadratic computational complexity. In this work, we offer a…

计算机视觉与模式识别 · 计算机科学 2026-05-07 Ruize He , Dongchen Han , Gao Huang

We establish an explicit data-driven criterion for identifying the solid-liquid transition of two-dimensional self-propelled colloidal particles in the far from equilibrium parameter regime, where the transition points predicted by…

软凝聚态物质 · 物理学 2021-10-27 Wei-chen Guo , Bao-quan Ai , Liang He

We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems. The scheme uses a non-parametric predictive model based only on input and noisy…

系统与控制 · 电气工程与系统科学 2023-03-28 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

In many nonlinear control problems, the plant can be accurately described by a linear model whose operating point depends on some measurable variables, called scheduling signals. When such a linear parameter-varying (LPV) model of the…

最优化与控制 · 数学 2018-06-19 Dario Piga , Simone Formentin , Alberto Bemporad

In the field of computer vision, data augmentation is widely used to enrich the feature complexity of training datasets with deep learning techniques. However, regarding the generalization capabilities of models, the difference in…

计算机视觉与模式识别 · 计算机科学 2024-08-22 Jianqiang Xiao , Weiwen Guo , Junfeng Liu , Mengze Li

We consider the data-driven stabilization of discrete-time linear time-varying systems. The controller is defined as a linear state-feedback law whose gain is adapted to the plant changes through a data-based event-triggering rule. To do…

系统与控制 · 电气工程与系统科学 2025-07-08 Andrea Iannelli , Romain Postoyan

We present a data-driven approach to efficiently approximate nonlinear transient dynamics in solid-state systems. Our proposed machine-learning model combines a dimensionality reduction stage with a nonlinear vector autoregression scheme.…

An alternative data-driven modeling approach has been proposed and employed to gain fundamental insights into robot motion interaction with granular terrain at certain length scales. The approach is based on an integration of dimension…

机器人学 · 计算机科学 2025-06-13 Guanjin Wang , Xiangxue Zhao , Shapour Azarm , Balakumar Balachandran

The position-based dynamics (PBD) algorithm is a popular and versatile technique for real-time simulation of deformable bodies, but is only applicable to forces that can be expressed as linearly compliant constraints. In this work, we…

图形学 · 计算机科学 2025-12-01 Manas Chaudhary , Chandradeep Pokhariya , Rahul Narain

In this paper, a machine learning-based simulation framework of general-purpose multibody dynamics is introduced. The aim of the framework is to generate a well-trained meta-model of multibody dynamics (MBD) systems. To this end, deep…

We introduce a class of distributed nonlinear control systems, termed as the flow-tracker dynamics, which capture phenomena where the average state is controlled by the average control input, with no individual agent has direct access to…

最优化与控制 · 数学 2022-11-09 Behrouz Touri , Bahman Gharesifard

Learning processes by exploiting restricted domain knowledge is an important task across a plethora of scientific areas, with more and more hybrid training methods additively combining data-driven and model-based approaches. Although the…

机器学习 · 计算机科学 2025-01-17 Yann Claes , Vân Anh Huynh-Thu , Pierre Geurts

Many current challenges involve understanding the complex dynamical interplay between the constituents of systems. Typically, the number of such constituents is high, but only limited data sources on them are available. Conventional…

种群与进化 · 定量生物学 2021-12-17 Jana C. Massing , Thilo Gross

We present a generic way to hybridize physical and data-driven methods for predicting physicochemical properties. The approach `distills' the physical method's predictions into a prior model and combines it with sparse experimental data…

化学物理 · 物理学 2022-02-18 Fabian Jirasek , Robert Bamler , Stephan Mandt

We consider the problem of impulse response estimation of stable linear single-input single-output systems. It is a well-studied problem where flexible non-parametric models recently offered a leap in performance compared to the classical…

系统与控制 · 计算机科学 2018-10-12 Carl Andersson , Niklas Wahlström , Thomas B. Schön

Quantum computation offers potential exponential speedups for simulating certain physical systems, but its application to nonlinear dynamics is inherently constrained by the requirement of unitary evolution. We propose the quantum Koopman…

量子物理 · 物理学 2025-07-30 Baoyang Zhang , Zhen Lu , Yaomin Zhao , Yue Yang

The increase in available data and complexity of dynamical systems has sparked the research on data-based system performance analysis and controller design. Recent approaches can guarantee performance and robust controller synthesis based…

系统与控制 · 电气工程与系统科学 2022-02-21 Tom R. V. Steentjes , Mircea Lazar , Paul M. J. Van den Hof

We are interested in learning data-driven representations that can generalize well, even when trained on inherently biased data. In particular, we face the case where some attributes (bias) of the data, if learned by the model, can severely…

计算机视觉与模式识别 · 计算机科学 2020-03-17 Ruggero Ragonesi , Riccardo Volpi , Jacopo Cavazza , Vittorio Murino

In this article, it is described how to use statistical data analysis to obtain models directly from data. The focus is put on finding nonlinearities within a generalized additive model. These models are found by the means of backfitting…

斑图形成与孤子 · 物理学 2007-05-23 M. Abel