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Data-driven constitutive modeling is an emerging field in computational solid mechanics with the prospect of significantly relieving the computational costs of hierarchical computational methods. Traditionally, these surrogates have been…

Computational Engineering, Finance, and Science · Computer Science 2022-04-20 Jan Niklas Fuhg , Nikolaos Bouklas

Accurately predicting the dynamic responses of building structures under seismic loads is essential for ensuring structural safety and minimizing potential damage. This critical aspect of structural analysis allows engineers to evaluate how…

Computational Engineering, Finance, and Science · Computer Science 2024-10-29 Shiqiao Meng , Ying Zhou , Qinghua Zheng , Bingxu Liao , Mushi Chang , Tianshu Zhang , Abderrahim Djerrad

We present a quadrotor dynamics Gaussian Process (GP) with gradient information that achieves real-time inference via state-space partitioning and approximation, and that includes aerodynamic effects using data from mid-fidelity potential…

Robotics · Computer Science 2026-02-16 Xinhuan Sang , Adam Rozman , Sheryl Grace , Roberto Tron

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…

Systems and Control · Computer Science 2018-10-12 Carl Andersson , Niklas Wahlström , Thomas B. Schön

Extrinsic Gaussian process regression methods, such as wrapped Gaussian process, have been developed to analyze manifold data. However, there is a lack of intrinsic Gaussian process methods for studying complex data with manifold-valued…

Machine Learning · Statistics 2025-02-11 Zhanfeng Wang , Xinyu Li , Hao Ding , Jian Qing Shi

Objectives: Full-waveform inversion (FWI) is a high-resolution geophysical imaging technique that reconstructs subsurface velocity models by iteratively minimizing the misfit between predicted and observed seismic data. However, under…

Machine Learning · Computer Science 2026-03-17 Xinyi Zhang , Caiyun Liu , Jie Xiong , Qingfeng Yu

Background: Inference from fMRI data faces the challenge that the hemodynamic system that relates neural activity to the observed BOLD fMRI signal is unknown. New Method: We propose a new Bayesian model for task fMRI data with the following…

Applications · Statistics 2020-06-01 Josef Wilzén , Anders Eklund , Mattias Villani

Reconstructing scalar fields from error-embedded gradient measurements is a fundamental linear inverse problem with broad applications in computational physics. Conventional approaches, such as Poisson-based solvers and the Green's Function…

Fluid Dynamics · Physics 2026-05-26 Zejian You , Mohamed Amine Abassi , Xiaofeng Liu , Qi Wang

Machine learned force fields typically require manual construction of training sets consisting of thousands of first principles calculations, which can result in low training efficiency and unpredictable errors when applied to structures…

Computational Physics · Physics 2019-11-21 Jonathan Vandermause , Steven B. Torrisi , Simon Batzner , Yu Xie , Lixin Sun , Alexie M. Kolpak , Boris Kozinsky

Data-driven control of nonlinear systems with rigorous guarantees is a challenging problem as it usually calls for nonconvex optimization and requires often knowledge of the true basis functions of the system dynamics. To tackle these…

Optimization and Control · Mathematics 2023-03-27 Tim Martin , Thomas B. Schön , Frank Allgöwer

Purely data driven approaches for machine learning present difficulties when data is scarce relative to the complexity of the model or when the model is forced to extrapolate. On the other hand, purely mechanistic approaches need to…

Machine Learning · Statistics 2020-03-16 Mauricio A. Álvarez , David Luengo , Neil D. Lawrence

The paper addresses the problem of passivation of a class of nonlinear systems where the dynamics are unknown. For this purpose, we use the highly flexible, data-driven Gaussian process regression for the identification of the unknown…

Systems and Control · Computer Science 2018-11-19 Thomas Beckers , Sandra Hirche

Factor analysis models are widely utilized in social and behavioral sciences, such as psychology, education, and marketing, to measure unobservable latent traits. In this article, we introduce a nonlinear structured latent factor analysis…

Methodology · Statistics 2025-01-07 Yimang Zhang , Xiaorui Wang , Jian Qing Shi

State-of-the-art methods for data-driven modelling of non-linear dynamical systems typically involve interactions with an expert user. In order to partially automate the process of modelling physical systems from data, many EA-based…

Systems and Control · Computer Science 2020-05-11 Dhruv Khandelwal , Maarten Schoukens , Roland Tóth

The study focuses on the wind loads acting on the standard Commonwealth Advisory Aeronautical Council (CAARC) building model. Numerical modeling has been used instead of employing wind tunnel experiments due to the requirement of high…

Fluid Dynamics · Physics 2022-02-16 V. A. U. De Alwis , P. H. T. D. Weerarathne , K. K. Wijesundara

Accurate prediction of structural displacements under external loading is fundamental to structural health monitoring and seismic safety assessment. Although the finite element method (FEM) remains the prevailing approach because of its…

Machine Learning · Computer Science 2026-05-12 Hung-Fu Chang , Tzu-Kang Lin , Yung-Li Cheng

This work presents a two-stage physics-informed, data-driven constitutive modeling framework for hyperelastic soft materials undergoing progressive damage and failure. The framework is grounded in the concept of hyperelasticity with energy…

Computational Engineering, Finance, and Science · Computer Science 2026-02-13 Kshitiz Upadhyay

Accurate kinematic models are essential for effective control of surgical robots. For tendon driven robots, which is common for minimally invasive surgery, intrinsic nonlinearities are important to consider. Traditional analytical methods…

Robotics · Computer Science 2020-06-11 Francesco Cursi , Anh Nguyen , Guang-Zhong Yang

Production forecast based on historical data provides essential value for developing hydrocarbon resources. Classic history matching workflow is often computationally intense and geometry-dependent. Analytical data-driven models like…

Machine Learning · Computer Science 2022-09-27 Wendi Liu , Michael J. Pyrcz

Undirected graphical models are widely used to model the conditional independence structure of vector-valued data. However, in many modern applications, for example those involving EEG and fMRI data, observations are more appropriately…

Machine Learning · Statistics 2024-01-29 Boxin Zhao , Percy S. Zhai , Y. Samuel Wang , Mladen Kolar