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In order to optimally design materials, it is crucial to understand the structure-property relations in the material by analyzing the effect of microstructure parameters on the macroscopic properties. In computational homogenization, the…

Computational Engineering, Finance, and Science · Computer Science 2022-08-24 Theron Guo , Ondřej Rokoš , Karen Veroy

Continuum robots enable dexterous manipulation in constrained environments, but require accurate and efficient models for real-time manipulation and control. Traditional physics-based models can be computationally expensive and may suffer…

Robotics · Computer Science 2026-05-20 Branden Frieden , James M. Ferguson , Alan Kuntz , Varun Shankar

Understanding structure-property relations is essential to optimally design materials for specific applications. Two-scale simulations are often employed to analyze the effect of the microstructure on a component's macroscopic properties.…

Computational Engineering, Finance, and Science · Computer Science 2022-10-25 Theron Guo , Francesco A. B. Silva , Ondřej Rokoš , Karen Veroy

Surrogate modeling of non-linear oscillator networks remains challenging due to discrepancies between simplified analytical models and real-world complexity. To bridge this gap, we investigate hybrid reservoir computing, combining reservoir…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Andrew Shannon , Conor Houghton , David Barton , Martin Homer

Convection-dominated problems are known for their slow Kolmogorov $n$-width decays and are challenging for model order reduction (MOR). In this work, we propose a hybrid surrogate modeling approach and a non-intrusive variant that overcome…

Dynamical Systems · Mathematics 2026-05-29 Lihong Feng , Ali Hassan , Shuwen Sun

It is not uncommon that meta-heuristic algorithms contain some intrinsic parameters, the optimal configuration of which is crucial for achieving their peak performance. However, evaluating the effectiveness of a configuration is expensive,…

Neural and Evolutionary Computing · Computer Science 2019-02-01 Ke Li , Zilin Xiang , Kay Chen Tan

Offline design optimization problem arises in numerous science and engineering applications including material and chemical design, where expensive online experimentation necessitates the use of in silico surrogate functions to predict and…

Machine Learning · Computer Science 2025-03-05 Minh Hoang , Azza Fadhel , Aryan Deshwal , Janardhan Rao Doppa , Trong Nghia Hoang

Performing reliability analysis on complex systems is often computationally expensive. In particular, when dealing with systems having high input dimensionality, reliability estimation becomes a daunting task. A popular approach to overcome…

Machine Learning · Statistics 2021-12-22 Navaneeth N. , Souvik Chakraborty

Agent-based models (ABMs) provide an intuitive and powerful framework for studying social dynamics by modeling the interactions of individuals from the perspective of each individual. In addition to simulating and forecasting the dynamics…

Dynamical Systems · Mathematics 2024-02-22 Jan-Hendrik Niemann , Stefan Klus , Nataša Djurdjevac Conrad , Christof Schütte

Designing a high-quality plasma injector electron source driven by a laser beam relies on numerical parametric studies using particle-in-cell codes. The common input parameters to explore are laser characteristics, plasma species and…

We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model evaluations are computationally expensive. We present a…

Machine Learning · Computer Science 2026-04-02 Josephine Westermann , Benno Huber , Thomas O'Leary-Roseberry , Jakob Zech

This study introduces a non-intrusive approach in the context of low-rank separated representation to construct a surrogate of high-dimensional stochastic functions, e.g., PDEs/ODEs, in order to decrease the computational cost of Markov…

Data Analysis, Statistics and Probability · Physics 2013-12-25 AbdoulAhad Validi

This study presents a methodology to treat performance-based seismic design as an inverse engineering problem, where design parameters are directly derived to achieve specific performance objectives. By implementing explainable machine…

Machine Learning · Computer Science 2025-08-04 Mohsen Zaker Esteghamati

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

Machine Learning · Computer Science 2019-01-28 Xi Chen , Mike Hobson

We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is…

Numerical Analysis · Mathematics 2020-08-11 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

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

Neural network surrogate models have emerged as a promising approach to model solution fields for a wide variety of boundary value problems encountered in physical modeling. Stochastic problems represent an area of particularly high…

Machine Learning · Statistics 2026-05-18 Noah Wade , Kirubel Teferra

Nonlinear optimization-based control policies, such as those those arising in nonlinear Model Predictive Control, have seen remarkable success in recent years. These policies require solving computationally demanding nonlinear optimization…

Optimization and Control · Mathematics 2025-12-02 Riccardo Zuliani , Efe C. Balta , John Lygeros

Surrogate modeling is of great practical significance for parametric differential equation systems. In contrast to classical numerical methods, using physics-informed deep learning methods to construct simulators for such systems is a…

Numerical Analysis · Mathematics 2025-01-03 Xili Wang , Kejun Tang , Jiayu Zhai , Xiaoliang Wan , Chao Yang

It has been shown that cooperative coevolution (CC) can effectively deal with large scale optimization problems (LSOPs) through a divide-and-conquer strategy. However, its performance is severely restricted by the current…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Bei Pang , Zhigang Ren , Yongsheng Liang , An Chen
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