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Efficient optimization remains a fundamental challenge across numerous scientific and engineering domains, especially when objective function and gradient evaluations are computationally expensive. While zeroth-order optimization methods…

Machine Learning · Computer Science 2025-11-04 Nuojin Cheng , Alireza Doostan , Stephen Becker

$B_1^+$ and $B_0$ field-inhomogeneities can significantly reduce accuracy and robustness of MRF's quantitative parameter estimates. Additional $B_1^+$ and $B_0$ calibration scans can mitigate this but add scan time and cannot be applied…

Image and Video Processing · Electrical Eng. & Systems 2023-12-18 Mengze Gao , Xiaozhi Cao , Daniel Abraham , Zihan Zhou , Kawin Setsompop

We propose an alternative method to generate samples of a spatially correlated random field with applications to large-scale problems for forward propagation of uncertainty. A classical approach for generating these samples is the…

Numerical Analysis · Mathematics 2017-03-27 Sarah Osborn , Panayot Vassilevski , Umberto Villa

Global optimization of expensive functions has important applications in physical and computer experiments. It is a challenging problem to develop efficient optimization scheme, because each function evaluation can be costly and the…

Machine Learning · Statistics 2020-01-22 Ray-Bing Chen , Yuan Wang , C. F. Jeff Wu

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

Federated learning (FL) enables distributed training with private client data, but its convergence is hindered by system heterogeneity under realistic communication scenarios. Most FL schemes addressing system heterogeneity utilize global…

Machine Learning · Computer Science 2025-09-19 Keumseo Ryum , Jinu Gong , Joonhyuk Kang

High-resolution simulation models are essential for representing complex physical systems, yet their substantial computational cost severely limits the number of feasible high-fidelity (HF) evaluations. This problem is often addressed…

Methodology · Statistics 2026-04-21 Hossein Mohammadi

We propose Active Surrogate Estimators (ASEs), a new method for label-efficient model evaluation. Evaluating model performance is a challenging and important problem when labels are expensive. ASEs address this active testing problem using…

Machine Learning · Computer Science 2022-10-20 Jannik Kossen , Sebastian Farquhar , Yarin Gal , Tom Rainforth

Mixed membership models are a flexible class of probabilistic data representations used for unsupervised and semi-supervised learning, allowing each observation to partially belong to multiple clusters or features. In this manuscript, we…

Bayesian optimization (BO) has demonstrated potential for optimizing control performance in data-limited settings, especially for systems with unknown dynamics or unmodeled performance objectives. The BO algorithm efficiently trades-off…

Machine Learning · Computer Science 2022-11-02 Ankush Chakrabarty

Sparse Bayesian learning (SBL) is a powerful framework for tackling the sparse coding problem while also providing uncertainty quantification. The most popular inference algorithms for SBL exhibit prohibitively large computational costs for…

Signal Processing · Electrical Eng. & Systems 2022-08-31 Alexander Lin , Andrew H. Song , Berkin Bilgic , Demba Ba

Modern AI agents such as large language models are trained on diverse tasks -- translation, code generation, mathematical reasoning, and text prediction -- simultaneously. A key question is how to quantify the influence of each individual…

Machine Learning · Computer Science 2026-05-12 Zhenshuo Zhang , Minxuan Duan , Hongyang R. Zhang

We are interested in the development of surrogate models for uncertainty quantification and propagation in problems governed by stochastic PDEs using a deep convolutional encoder-decoder network in a similar fashion to approaches considered…

Computational Physics · Physics 2018-05-09 Yinhao Zhu , Nicholas Zabaras

Surrogate-assisted evolutionary algorithms have been widely developed to solve complex and computationally expensive multi-objective optimization problems in recent years. However, when dealing with high-dimensional optimization problems,…

Neural and Evolutionary Computing · Computer Science 2024-03-19 Guodong Chen , Jiu Jimmy Jiao , Xiaoming Xue , Zhongzheng Wang

Oilfield development related decisions are made using reservoir simulation-based optimization study in which different production scenarios and well controls are compared. Such simulations are computationally expensive and so surrogate…

Machine Learning · Computer Science 2022-03-01 Ajitabh Kumar

Existing deep learning-based surrogate models facilitate efficient data generation, but fall short in uncertainty quantification, efficient parameter space exploration, and reverse prediction. In our work, we introduce SurroFlow, a novel…

Machine Learning · Computer Science 2024-07-19 Jingyi Shen , Yuhan Duan , Han-Wei Shen

In this paper, we consider improving the efficiency of information-based autonomous robot exploration in unknown and complex environments. We first utilize Gaussian process (GP) regression to learn a surrogate model to infer the…

Robotics · Computer Science 2023-09-12 Yang Xu , Ronghao Zheng , Senlin Zhang , Meiqin Liu , Shoudong Huang

The data-centric construction of inexpensive surrogates for fine-grained, physical models has been at the forefront of computational physics due to its significant utility in many-query tasks such as uncertainty quantification. Recent…

Machine Learning · Statistics 2021-03-17 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

Quantum Federated Learning (QFL) enables distributed training of Quantum Machine Learning (QML) models by sharing model gradients instead of raw data. However, these gradients can still expose sensitive user information. To enhance privacy,…

Cryptography and Security · Computer Science 2026-03-04 Lukas Böhm , Arjhun Swaminathan , Anika Hannemann , Erik Buchmann

Multi-fidelity methods leverage low-cost surrogate models to speed up computations and make occasional recourse to expensive high-fidelity models to establish accuracy guarantees. Because surrogate and high-fidelity models are used…

Numerical Analysis · Mathematics 2021-09-14 Terrence Alsup , Benjamin Peherstorfer
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