This work highlights an approach for incorporating realistic uncertainties into scientific computing workflows based on finite elements, focusing on prevalent applications in …
We consider minimizing finite-sum and expectation objective functions via Hessian- averaging based subsampled Newton methods. These methods allow for gradient …
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 …
In this paper, we present a novel derivative-free optimization framework for solving unconstrained stochastic optimization problems. Many problems in fields ranging from …
In this work, we consider solving optimization problems with a stochastic objective and deterministic equality constraints. We propose a Trust-Region Sequential Quadratic …
This paper explores the application of Retrieval-Augmented Generation (RAG) in engineering design, examining its potential to revolutionize the design process through …
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 …
In this paper, we consider a family of linearly constrained convex minimization problems whose objective function is not necessarily smooth. A basic doubleproximal augmented …