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This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine decomposition of the geometry or by the design element…

We study sequential cost-efficient design in a situation where each update of covariates involves a fixed time cost typically considerable compared to a single measurement time. The problem arises from parameter estimation in switching…

Methodology · Statistics 2024-03-05 Jeongmin Han , Juha Karvanen , Mikko Parviainen

We develop a unified continuum modeling framework for viscous fluids and hyperelastic solids using the Gibbs free energy as the thermodynamic potential. This framework naturally leads to a pressure primitive variable formulation for the…

Computational Physics · Physics 2020-03-03 Ju Liu , Alison L. Marsden

The increased deployment of multi-robot systems (MRS) in various fields has led to the need for analysis of system-level performance. However, creating consistent metrics for MRS is challenging due to the wide range of system and…

Robotics · Computer Science 2024-05-06 Pujie Xin , Zhanteng Xie , Philip Dames

In this paper we present a shape optimization scheme which utilizes the alternating direction method of multipliers (ADMM) to approximate a direction of steepest descent in $W^{1,\infty}$. The followed strategy is a combination of the…

Optimization and Control · Mathematics 2025-08-26 Philip J. Herbert , Jose A. Pinzon Escobar , Martin Siebenborn

This work proposes multi-agent systems setting for concurrent engineering system design optimization and gradually paves the way towards examining graph theoretic constructs in the context of multidisciplinary design optimization problem.…

Optimization and Control · Mathematics 2012-09-18 Amir Noori

This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort. The advantage of adaptivity in this context is the ability to focus more resources on regions of space where signal…

Methodology · Statistics 2013-04-03 Dennis Wei , Alfred O. Hero

In this paper, we propose an alternative method to the disjoint principal component analysis. The method consists of a principal component analysis with constraints, which allows us to determine disjoint components that are linear…

Neural and Evolutionary Computing · Computer Science 2020-04-23 John Ramírez-Figueroa , Carlos Martín-Barreiro , Ana B. Nieto-Librero , Victor Leiva-Sánchez , Purificación Galindo-Villardón

For many optimization problems it is possible to define a distance metric between problem variables that correlates with the likelihood and strength of interactions between the variables. For example, one may define a metric so that the…

Neural and Evolutionary Computing · Computer Science 2012-01-12 Martin Pelikan , Mark W. Hauschild

This study demonstrates how the adjoint-based framework traditionally used to compute gradients in PDE optimization problems can be extended to handle general constraints on the state variables. This is accomplished by constructing a…

Optimization and Control · Mathematics 2024-08-13 Pritpal Matharu , Bartosz Protas

We present a computational design methodology for topology optimization of multi-material-based flexoelectric composites. The methodology extends our recently proposed design methodology for a single flexoelectric material. We adopt the…

Computational Physics · Physics 2019-01-31 Hamid Ghasemi , Harold S. Park , Timon Rabczuk

This paper presents a novel adjoint solver for differentiable fluid simulation based on bidirectional flow maps. Our key observation is that the forward fluid solver and its corresponding backward, adjoint solver share the same flow map as…

Graphics · Computer Science 2025-11-04 Zhiqi Li , Jinjin He , Barnabás Börcsök , Taiyuan Zhang , Duowen Chen , Tao Du , Ming C. Lin , Greg Turk , Bo Zhu

We present a robust computational framework for advective-diffusive-reactive systems that satisfies maximum principles, the non-negative constraint, and element-wise species balance property. The proposed methodology is valid on general…

Numerical Analysis · Mathematics 2015-11-10 M. K. Mudunuru , K. B. Nakshatrala

Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform…

Numerical Analysis · Mathematics 2025-06-10 Ji-Wang Luo , Li Chen , Kentaro Yaji , Wen-Quan Tao

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 presents a novel framework for Jacobian computation in motion optimization problems involving multi-link systems, where physical quantities are represented using higher-order time derivatives. In motion optimization of robots and…

Robotics · Computer Science 2026-05-18 Taiki Ishigaki , Ko Ayusawa , Eiichi Yoshida

We present a novel continuous optimization method to the discrete problem of quadtree optimization. The optimization aims at achieving a quadtree structure with the highest mechanical stiffness, where the edges in the quadtree are…

Numerical Analysis · Mathematics 2018-05-23 Jun Wu

Many recently introduced enhanced sampling techniques are based on biasing coarse descriptors (collective variables) of a molecular system on the fly. Sometimes the calculation of such collective variables is expensive and becomes a…

Computational Physics · Physics 2015-09-01 Marco Jacopo Ferrarotti , Sandro Bottaro , Andrea Pérez-Villa , Giovanni Bussi

Optimizing shapes and topology of physical devices is crucial for both scientific and technological advancements, given its wide-ranging implications across numerous industries and research areas. Innovations in shape and topology…

Computational Physics · Physics 2023-10-02 Alexander Luce , Rasoul Alaee , Fabian Knorr , Florian Marquardt