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Markov Chain Monte Carlo (MCMC) methods often take many iterations to converge for highly correlated or high-dimensional target density functions. Methods such as Hamiltonian Monte Carlo (HMC) or No-U-Turn Sampling (NUTS) use the…

Numerical Analysis · Mathematics 2024-08-08 Kislaya Ravi , Tobias Neckel , Hans-Joachim Bungartz

This work presents an efficient approach for accelerating multilevel Markov Chain Monte Carlo (MCMC) sampling for large-scale problems using low-fidelity machine learning models. While conventional techniques for large-scale Bayesian…

Machine Learning · Statistics 2024-05-21 Sohail Reddy , Hillary Fairbanks

Due to the high cost of communication, federated learning (FL) systems need to sample a subset of clients that are involved in each round of training. As a result, client sampling plays an important role in FL systems as it affects the…

Machine Learning · Computer Science 2025-01-31 Boxin Zhao , Lingxiao Wang , Ziqi Liu , Zhiqiang Zhang , Jun Zhou , Chaochao Chen , Mladen Kolar

Bayesian optimization is a popular framework for the optimization of black box functions. Multifidelity methods allows to accelerate Bayesian optimization by exploiting low-fidelity representations of expensive objective functions. Popular…

Machine Learning · Computer Science 2024-07-08 Francesco Di Fiore , Laura Mainini

Robust topology optimization (RTO) improves the robustness of designs with respect to random sources in real-world structures, yet an accurate sensitivity analysis requires the solution of many systems of equations at each optimization…

Computational Engineering, Finance, and Science · Computer Science 2020-09-01 Weichen Li , Xiaojia Shelly Zhang

Traditional methods for black box optimization require a considerable number of evaluations which can be time consuming, unpractical, and often unfeasible for many engineering applications that rely on accurate representations and expensive…

Machine Learning · Computer Science 2020-07-10 Francesco Grassi , Giorgio Manganini , Michele Garraffa , Laura Mainini

In an era where scientific experiments can be very costly, multi-fidelity emulators provide a useful tool for cost-efficient predictive scientific computing. For scientific applications, the experimenter is often limited by a tight…

Methodology · Statistics 2023-10-30 Chih-Li Sung , Yi Ji , Simon Mak , Wenjia Wang , Tao Tang

The maximum stress minimization problem is among the most important topics for structural design. The conventional gradient-based topology optimization methods require transforming the original problem into a pseudo-problem by relaxation…

Optimization and Control · Mathematics 2025-02-06 Misato Kato , Taisei Kii , Kentaro Yaji , Kikuo Fujita

Multi-objective Bayesian optimization (MOBO) struggles with sparse (non-space-filling), scarce (limited observations) datasets affected by experimental uncertainty, where identical inputs can yield varying outputs. These challenges are…

Machine Learning · Computer Science 2025-08-25 Maryam Ghasemzadeh , Anton van Beek

Models that balance accuracy against computational costs are advantageous when designing wind turbines with optimization studies, as several hundred predictive function evaluations might be necessary to identify the optimal solution. We…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Athul K. Sundarrajan , Daniel R. Herber

In this article, we develop a trust-region technique to find critical points of unconstrained set optimization problems with the objective set-valued map defined by finitely many twice continuously differentiable functions. The technique is…

Optimization and Control · Mathematics 2025-09-10 Suprova Ghosh , Debdas Ghosh , Christiane Tammer , Xiaopeng Zhao

The problem we consider is a multi-objective optimization problem, in which the goal is to find an optimal value of a vector function representing various criteria. The aim of this work is to develop an algorithm which utilizes the trust…

Optimization and Control · Mathematics 2026-05-15 Nataša Krejić , Nataša Krklec Jerinkić , Luka Rutešić

Adapting Foundation Models (FMs) for downstream tasks through Federated Learning (FL) emerges a promising strategy for protecting data privacy and valuable FMs. Existing methods fine-tune FM by allocating sub-FM to clients in FL, however,…

Machine Learning · Computer Science 2024-04-30 Zhaopeng Peng , Xiaoliang Fan , Yufan Chen , Zheng Wang , Shirui Pan , Chenglu Wen , Ruisheng Zhang , Cheng Wang

We propose an iterative variational quantum algorithm to simulate the time evolution of arbitrary initial states within a given subspace. The algorithm compresses the Trotter circuit into a shorter-depth parameterized circuit, which is…

Quantum Physics · Physics 2026-02-24 Seung Park , Dongkeun Lee , Jeongho Bang , Hoon Ryu , Kyunghyun Baek

Sampling-based approaches are widely used in systems without analytic models to estimate risk or find optimal control. However, gathering sufficient data in such scenarios can be prohibitively costly. On the other hand, in many situations,…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Zhuoyuan Wang , Takashi Tanaka , Yongxin Chen , Yorie Nakahira

Closed-loop decision-making systems (e.g., lending, screening, or recidivism risk assessment) often operate under fairness and service constraints while inducing feedback effects: decisions change who appears in the future, yielding…

Machine Learning · Computer Science 2025-12-30 Wenzhang Du

Multi-fidelity Bayesian Optimization (MFBO) is a promising framework to speed up materials and molecular discovery as sources of information of different accuracies are at hand at increasing cost. Despite its potential use in chemical…

We consider a finite-state partially observable Markov decision problem (POMDP) with an infinite horizon and a discounted cost, and we propose a new method for computing a cost function approximation that is based on features and…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Yuchao Li , Kim Hammar , Dimitri Bertsekas

Space-time adaptive processing (STAP) is one of the most effective approaches to suppressing ground clutters in airborne radar systems. It basically takes two forms, i.e., full-dimension STAP (FD-STAP) and reduced-dimension STAP (RD-STAP).…

Information Theory · Computer Science 2022-02-11 Di Song , Shengyao Chen , Feng Xi , Zhong Liu

Adaptive Computing is an application-agnostic outer loop framework to strategically deploy simulations and experiments to guide decision making for scale-up analysis. Resources are allocated over successive batches, which makes the…