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Dynamic multi-objective optimization (DMOO) has recently attracted increasing interest from both academic researchers and engineering practitioners, as numerous real-world applications that evolve over time can be naturally formulated as…

Neural and Evolutionary Computing · Computer Science 2026-01-06 Chang Shao , Qi Zhao , Nana Pu , Shi Cheng , Jing Jiang , Yuhui Shi

Motion planning is a mature area of research in robotics with many well-established methods based on optimization or sampling the state space, suitable for solving kinematic motion planning. However, when dynamic motions under constraints…

Aircraft aerodynamic design optimization must account for the varying operating conditions along the cruise segment as opposed to designing at one fixed operating condition, to arrive at more realistic designs. Conventional approaches…

Optimization and Control · Mathematics 2025-12-03 Kade Carlson , Ashwin Renganathan

In the framework of solid mechanics, the task of deriving material parameters from experimental data has recently re-emerged with the progress in full-field measurement capabilities and the renewed advances of machine learning. In this…

Computational Engineering, Finance, and Science · Computer Science 2026-01-27 Ulrich Römer , Stefan Hartmann , Jendrik-Alexander Tröger , David Anton , Henning Wessels , Moritz Flaschel , Laura De Lorenzis

Large scale dynamical systems (e.g. many nonlinear coupled differential equations) can often be summarized in terms of only a few state variables (a few equations), a trait that reduces complexity and facilitates exploration of behavioral…

Motion planning and control are two core components of the robotic systems autonomy stack. The standard approach to combine these methodologies comprises an offline/open-loop stage, planning, that designs a feasible and safe trajectory to…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Tianqi Zheng , John W. Simpson-Porco , Enrique Mallada

One of the outstanding problems in complexity science and dynamical system theory is understanding the dynamic behavior of high-dimensional networked systems and their susceptibility to transitions to undesired states. Because of varied…

Dynamical Systems · Mathematics 2022-06-24 Chengyi Tu

This paper introduces a methodology designed to augment the inverse design optimization process in scenarios constrained by limited compute, through the strategic synergy of multi-fidelity evaluations, machine learning models, and…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

A comprehensive approach for real-time computations using a database of parameterized linear reduced-order models (ROMs) is proposed. The method proceeds by sampling offline ROMs for specific values of the parameters and interpolating…

Numerical Analysis · Mathematics 2015-06-24 David Amsallem , Radek Tezaur , Charbel Farhat

In this contribution we develop an efficient reduced order model for solving parametrized linear-quadratic optimal control problems with linear time-varying state system. The fully reduced model combines reduced basis approximations of the…

Numerical Analysis · Mathematics 2024-08-29 Hendrik Kleikamp , Lukas Renelt

Neural operators have emerged as a powerful data-driven paradigm for solving partial differential equations (PDEs), while their accuracy and scalability are still limited, particularly on irregular domains where fluid flows exhibit rich…

Machine Learning · Computer Science 2026-02-26 Qinxuan Wang , Chuang Wang , Mingyu Zhang , Jingwei Sun , Peipei Yang , Shuo Tang , Shiming Xiang

This work presents the application of a recently developed parametric, non-intrusive, and multi-fidelity reduced-order modeling method on high-dimensional displacement and stress fields arising from the structural analysis of geometries…

Machine Learning · Computer Science 2022-06-15 Christian Perron , Darshan Sarojini , Dushhyanth Rajaram , Jason Corman , Dimitri Mavris

We present two frameworks for structure-preserving model order reduction of interconnected subsystems, improving tractability of the reduction methods while ensuring stability and accuracy bounds of the reduced interconnected model. Instead…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Luuk Poort , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

Overparameterized models have proven to be powerful tools for solving various machine learning tasks. However, overparameterization often leads to a substantial increase in computational and memory costs, which in turn requires extensive…

Machine Learning · Computer Science 2024-03-13 Soo Min Kwon , Zekai Zhang , Dogyoon Song , Laura Balzano , Qing Qu

We introduce an adjoint-based aerodynamic shape optimization framework that integrates a diffusion model trained on existing designs to learn a smooth manifold of aerodynamically viable shapes. This manifold is enforced as an equality…

Computational Engineering, Finance, and Science · Computer Science 2025-08-01 Long Chen , Emre Oezkaya , Jan Rottmayer , Nicolas R. Gauger , Zebang Shen , Yinyu Ye

This paper addresses the problem of obtaining low-order models of fluid flows for the purpose of designing robust feedback controllers. This is challenging since whilst many flows are governed by a set of nonlinear, partial…

Fluid-structure interaction models are used to study how a material interacts with different fluids at different Reynolds numbers. Examining the same model not only for different fluids but also for different solids allows to optimize the…

Numerical Analysis · Mathematics 2023-07-28 Peter Benner , Thomas Richter , Roman Weinhandl

In robotics, structural design and behavior optimization have long been considered separate processes, resulting in the development of systems with limited capabilities. Recently, co-design methods have gained popularity, where bi-level…

Robotics · Computer Science 2025-07-02 Rohit Kumar , Melya Boukheddimi , Dennis Mronga , Shivesh Kumar , Frank Kirchner

In this work we present an advanced computational pipeline for the approximation and prediction of the lift coefficient of a parametrized airfoil profile. The non-intrusive reduced order method is based on dynamic mode decomposition (DMD)…

Numerical Analysis · Mathematics 2020-11-23 Marco Tezzele , Nicola Demo , Giovanni Stabile , Andrea Mola , Gianluigi Rozza

Addressing complex meteorological processes at a fine spatial resolution requires substantial computational resources. To accelerate meteorological simulations, researchers have utilized neural networks to downscale meteorological variables…

Atmospheric and Oceanic Physics · Physics 2024-04-30 Jing Hu , Honghu Zhang , Peng Zheng , Jialin Mu , Xiaomeng Huang , Xi Wu
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