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In black-box optimization problems, we aim to maximize an unknown objective function, where the function is only accessible through feedbacks of an evaluation or simulation oracle. In real-life, the feedbacks of such oracles are often noisy…

Machine Learning · Computer Science 2022-04-15 Junxiong Wang , Debabrota Basu , Immanuel Trummer

This work introduces a novel blackbox optimization algorithm for computationally expensive constrained multi-fidelity problems. When applying a direct search method to such problems, the scarcity of feasible points may lead to numerous…

Optimization and Control · Mathematics 2025-04-09 Stéphane Alarie , Charles Audet , Miguel Diago , Sébastien Le Digabel , Xavier Lebeuf

In derivative-free and blackbox optimization, the objective function is often evaluated through the execution of a computer program seen as a blackbox. It can be noisy, in the sense that its outputs are contaminated by random errors.…

Optimization and Control · Mathematics 2019-11-15 Stéphane Alarie , Charles Audet , Pierre-Yves Bouchet , Sébastien Le Digabel

We consider quantile optimization of black-box functions that are estimated with noise. We propose two new iterative three-timescale local search algorithms. The first algorithm uses an appropriately modified finite-difference-based…

Optimization and Control · Mathematics 2023-08-16 Jiaqiao Hu , Meichen Song , Michael C. Fu

This work studies constrained blackbox optimization problems that cannot be solved in reasonable time due to prohibitive computational costs. This challenge is especially prevalent in industrial applications, where blackbox evaluations are…

Optimization and Control · Mathematics 2026-01-20 Stéphane Alarie , Charles Audet , Miguel Diago , Sébastien Le Digabel , Xavier Lebeuf

Bandit methods for black-box optimisation, such as Bayesian optimisation, are used in a variety of applications including hyper-parameter tuning and experiment design. Recently, \emph{multi-fidelity} methods have garnered considerable…

Machine Learning · Statistics 2017-03-21 Kirthevasan Kandasamy , Gautam Dasarathy , Jeff Schneider , Barnabas Poczos

Decision trees, owing to their interpretability, are attractive as control policies for (dynamical) systems. Unfortunately, constructing, or synthesising, such policies is a challenging task. Previous approaches do so by imitating a…

Artificial Intelligence · Computer Science 2025-04-23 Emir Demirović , Christian Schilling , Anna Lukina

The paper presents a technique for constructing noisy data structures called a walking tree. We apply it for a Red-Black tree (an implementation of a Self-Balanced Binary Search Tree) and a segment tree. We obtain the same complexity of the…

Quantum Physics · Physics 2023-05-16 Kamil Khadiev , Nikita Savelyev , Mansur Ziatdinov , Denis Melnikov

We consider Bayesian optimization of an expensive-to-evaluate black-box objective function, where we also have access to cheaper approximations of the objective. In general, such approximations arise in applications such as reinforcement…

Machine Learning · Statistics 2016-11-16 Matthias Poloczek , Jialei Wang , Peter I. Frazier

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

Machine Learning · Computer Science 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

Bayesian optimization is popular for optimizing time-consuming black-box objectives. Nonetheless, for hyperparameter tuning in deep neural networks, the time required to evaluate the validation error for even a few hyperparameter settings…

Machine Learning · Computer Science 2019-03-13 Jian Wu , Saul Toscano-Palmerin , Peter I. Frazier , Andrew Gordon Wilson

We consider black-box optimization in which only an extremely limited number of function evaluations, on the order of around 100, are affordable and the function evaluations must be performed in even fewer batches of a limited number of…

Machine Learning · Computer Science 2021-03-19 Carlos Ansotegui , Meinolf Sellmann , Tapan Shah , Kevin Tierney

In many scientific and engineering applications, we are tasked with the maximisation of an expensive to evaluate black box function $f$. Traditional settings for this problem assume just the availability of this single function. However, in…

Machine Learning · Statistics 2019-03-19 Kirthevasan Kandasamy , Gautam Dasarathy , Junier B. Oliva , Jeff Schneider , Barnabas Poczos

Motivated by the problem of tuning hyperparameters in machine learning, we present a new approach for gradually and adaptively optimizing an unknown function using estimated gradients. We validate the empirical performance of the proposed…

Machine Learning · Computer Science 2019-06-05 Weijia Shao , Christian Geißler , Fikret Sivrikaya

Real-world black-box optimization often involves time-consuming or costly experiments and simulations. Multi-fidelity optimization (MFO) stands out as a cost-effective strategy that balances high-fidelity accuracy with computational…

Machine Learning · Computer Science 2024-02-16 Ke Li , Fan Li

We study bi-criteria combinatorial optimization under noisy function evaluations. While resilience and black-box offline-to-online reductions have been studied in single-objective settings, extending these ideas to bi-criteria problems…

Machine Learning · Computer Science 2026-05-11 Vaneet Aggarwal , Shweta Jain , Subham Pokhriyal , Christopher John Quinn

Black box optimization requires specifying a search space to explore for solutions, e.g. a d-dimensional compact space, and this choice is critical for getting the best results at a reasonable budget. Unfortunately, determining a high…

Machine Learning · Computer Science 2021-12-20 Setareh Ariafar , Justin Gilmer , Zachary Nado , Jasper Snoek , Rodolphe Jenatton , George E. Dahl

A common approach for minimizing a smooth nonlinear function is to employ finite-difference approximations to the gradient. While this can be easily performed when no error is present within the function evaluations, when the function is…

Optimization and Control · Mathematics 2022-03-24 Hao-Jun Michael Shi , Yuchen Xie , Melody Qiming Xuan , Jorge Nocedal

We consider the problem of multi-fidelity zeroth-order optimization, where one can evaluate a function $f$ at various approximation levels (of varying costs), and the goal is to optimize $f$ with the cheapest evaluations possible. In this…

Machine Learning · Computer Science 2024-10-14 Étienne de Montbrun , Sébastien Gerchinovitz

We consider learning to optimize a classification metric defined by a black-box function of the confusion matrix. Such black-box learning settings are ubiquitous, for example, when the learner only has query access to the metric of…

Machine Learning · Computer Science 2021-06-25 Gaurush Hiranandani , Jatin Mathur , Harikrishna Narasimhan , Mahdi Milani Fard , Oluwasanmi Koyejo
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