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Generative molecular optimization aims to design molecules with properties surpassing those of existing compounds. However, such candidates are rare and expensive to evaluate, yielding sample efficiency essential. Additionally, surrogate…

Optimizing expensive to evaluate black-box functions over an input space consisting of all permutations of d objects is an important problem with many real-world applications. For example, placement of functional blocks in hardware design…

Machine Learning · Computer Science 2021-12-03 Aryan Deshwal , Syrine Belakaria , Janardhan Rao Doppa , Dae Hyun Kim

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

Bayesian optimization (BO) is well known to be sample-efficient for solving black-box problems. However, the BO algorithms can sometimes get stuck in suboptimal solutions even with plenty of samples. Intrinsically, such suboptimal problem…

Machine Learning · Computer Science 2025-01-24 Zhendong Guo , Yew-Soon Ong , Tiantian He , Haitao Liu

For an easy use of model order reduction techniques in applications, software solutions are needed. In this paper, we describe the MORLAB, Model Order Reduction LABoratory, toolbox as an efficient implementation of model reduction…

Mathematical Software · Computer Science 2021-09-07 Peter Benner , Steffen W. R. Werner

Bayesian optimization (BO) is a powerful paradigm for efficient optimization of black-box objective functions. High-dimensional BO presents a particular challenge, in part because the curse of dimensionality makes it difficult to define --…

Machine Learning · Computer Science 2021-06-11 David Eriksson , Martin Jankowiak

We consider the problem of optimizing expensive black-box functions over high-dimensional combinatorial spaces which arises in many science, engineering, and ML applications. We use Bayesian Optimization (BO) and propose a novel surrogate…

Machine Learning · Computer Science 2023-03-06 Aryan Deshwal , Sebastian Ament , Maximilian Balandat , Eytan Bakshy , Janardhan Rao Doppa , David Eriksson

Bayesian optimization (BO) is a popular paradigm for global optimization of expensive black-box functions, but there are many domains where the function is not completely a black-box. The data may have some known structure (e.g. symmetries)…

Machine Learning · Computer Science 2022-12-08 Samuel Kim , Peter Y. Lu , Charlotte Loh , Jamie Smith , Jasper Snoek , Marin Soljačić

Collaborative Optimization (CO) is a multidisciplinary design optimization (MDO) framework that decomposes large-scale engineering problems into parallel, independently solvable subsystems coordinated by a system-level optimizer. Its…

Optimization and Control · Mathematics 2026-05-08 Mohamed Ali Belhafnaoui , Youssef Diouane

We present a data-driven Bayesian nonparametric approach for global optimization (DaBNO) of stochastic black-box function. The function value depends on the distribution of a random vector. However, this distribution is usually complex and…

Optimization and Control · Mathematics 2024-02-28 Haowei Wang , Xun Zhang , Szu Hui Ng , Songhao Wang

This study focuses on mixed-variable black-box optimization (MV-BBO), addressing continuous, integer, and categorical variables. Many real-world MV-BBO problems involve dependencies among these different types of variables, requiring…

Neural and Evolutionary Computing · Computer Science 2026-01-08 Ryoki Hamano , Masahiro Nomura , Shota Saito , Kento Uchida , Shinichi Shirakawa

Temporal surrogate models are effective for predicting chaotic dynamical systems where computational cost can be prohibitive. Several deep neural network architectures can be used for such purposes. In this work, a few commonly used…

Machine Learning · Computer Science 2026-05-26 Rajarshi Biswas

We focus on collaborative and federated black-box optimization (BBOpt), where agents optimize their heterogeneous black-box functions through collaborative sequential experimentation. From a Bayesian optimization perspective, we address the…

Machine Learning · Computer Science 2025-08-25 Raed Al Kontar

Many approaches for addressing Global Optimization problems typically rely on relaxations of nonlinear constraints over specific mathematical primitives. This is restricting in applications with constraints that are black-box, implicit or…

Optimization and Control · Mathematics 2025-01-03 Dimitris Bertsimas , Georgios Margaritis

Black-box optimization algorithms have been widely used in various machine learning problems, including reinforcement learning and prompt fine-tuning. However, directly optimizing the training loss value, as commonly done in existing…

Machine Learning · Computer Science 2024-10-17 Feiyang Ye , Yueming Lyu , Xuehao Wang , Masashi Sugiyama , Yu Zhang , Ivor Tsang

We explore a hybrid technique to quantify the variability in the numerical solutions to a free boundary problem associated with magnetic equilibrium in axisymmetric fusion reactors amidst parameter uncertainties. The method aims at reducing…

Computational Physics · Physics 2026-03-03 Howard Elman , Jiaxing Liang , Tonatiuh Sánchez-Vizuet

Many methods for performing multi-objective optimisation of computationally expensive problems have been proposed recently. Typically, a probabilistic surrogate for each objective is constructed from an initial dataset. The surrogates can…

Machine Learning · Computer Science 2022-06-17 Alma Rahat , Tinkle Chugh , Jonathan Fieldsend , Richard Allmendinger , Kaisa Miettinen

Recent advancements in Markov chain Monte Carlo (MCMC) sampling and surrogate modelling have significantly enhanced the feasibility of Bayesian analysis across engineering fields. However, the selection and integration of surrogate models…

Computational Physics · Physics 2024-11-22 Leon Riccius , Iuri B. C. M. Rocha , Joris Bierkens , Hanne Kekkonen , Frans P. van der Meer

Biophysical neural system simulations are among the most computationally demanding scientific applications, and their optimization requires navigating high-dimensional parameter spaces under numerous constraints that impose a binary…

Surrogate models - also called emulators - are widely used to facilitate Bayesian inference in settings where computational costs preclude the use of standard posterior inference algorithms. Their deployment is now standard practice across…

Methodology · Statistics 2026-03-17 Andrew Gerard Roberts , Michael C. Dietze , Jonathan H. Huggins
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