An adaptive interval many-objective evolutionary algorithm with information entropy dominance

Z Cui, C Qu, Z Zhang, Y Jin, J Cai, W Zhang… - Swarm and Evolutionary …, 2024 - Elsevier
Interval many-objective optimization problems (IMaOPs) involve more than three conflicting
objectives with interval parameters. Various real-world applications under uncertainty can …

Finite elements for Matérn-type random fields: Uncertainty in computational mechanics and design optimization

T Duswald, B Keith, B Lazarov, S Petrides… - Computer Methods in …, 2024 - Elsevier
This work highlights an approach for incorporating realistic uncertainties into scientific
computing workflows based on finite elements, focusing on prevalent applications in …

Fast Unconstrained Optimization via Hessian Averaging and Adaptive Gradient Sampling Methods

T O'Leary-Roseberry, R Bollapragada - arXiv preprint arXiv:2408.07268, 2024 - arxiv.org
We consider minimizing finite-sum and expectation objective functions via Hessian-
averaging based subsampled Newton methods. These methods allow for gradient …

High-performance finite elements with MFEM

J Andrej, N Atallah, JP Bäcker… - … Journal of High …, 2024 - journals.sagepub.com
The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for
finite element discretizations. MFEM supports numerous types of finite element methods and …

Derivative-Free Optimization via Adaptive Sampling Strategies

R Bollapragada, C Karamanli, SM Wild - arXiv preprint arXiv:2404.11893, 2024 - arxiv.org
In this paper, we present a novel derivative-free optimization framework for solving
unconstrained stochastic optimization problems. Many problems in fields ranging from …

Trust-Region Sequential Quadratic Programming for Stochastic Optimization with Random Models

Y Fang, S Na, MW Mahoney, M Kolar - arXiv preprint arXiv:2409.15734, 2024 - arxiv.org
In this work, we consider solving optimization problems with a stochastic objective and
deterministic equality constraints. We propose a Trust-Region Sequential Quadratic …

[PDF][PDF] Retrieval-Augmented Generation in Engineering Design

DP Ghosh, DA Team - 2024 - researchgate.net
This paper explores the application of Retrieval-Augmented Generation (RAG) in
engineering design, examining its potential to revolutionize the design process through …

[PDF][PDF] A two-phase stochastic momentum-based algorithm for nonconvex expectation-constrained optimization

Y Cui, X Wang, X Xiao - 2024 - optimization-online.org
In this paper we focus on nonconvex optimization problems with expectation constraints. To
address the challenges posed by possibly nonconvex constraints and the stochastic nature …

[PDF][PDF] Double-proximal augmented Lagrangian methods with improved convergence condition

J Bai, S Rao, R Sun - optimization-online.org
In this paper, we consider a family of linearly constrained convex minimization problems
whose objective function is not necessarily smooth. A basic doubleproximal augmented …