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In this paper, we propose a framework based on the Retrospective Approximation (RA) paradigm to solve optimization problems with a stochastic objective function and general nonlinear deterministic constraints. This framework sequentially…

最优化与控制 · 数学 2025-05-27 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

Bayesian optimization is a methodology for global optimization of unknown and expensive objectives. It combines a surrogate Bayesian regression model with an acquisition function to decide where to evaluate the objective. Typical regression…

机器学习 · 计算机科学 2023-04-04 Afonso Eduardo , Michael U. Gutmann

This paper proposes an automatic controller tuning framework based on linear optimal control combined with Bayesian optimization. With this framework, an initial set of controller gains is automatically improved according to a pre-defined…

机器人学 · 计算机科学 2017-09-21 Alonso Marco , Philipp Hennig , Jeannette Bohg , Stefan Schaal , Sebastian Trimpe

The optimization of expensive-to-evaluate black-box functions over combinatorial structures is an ubiquitous task in machine learning, engineering and the natural sciences. The combinatorial explosion of the search space and costly…

机器学习 · 统计学 2018-10-11 Ricardo Baptista , Matthias Poloczek

High-dimensional black-box optimisation remains an important yet notoriously challenging problem. Despite the success of Bayesian optimisation methods on continuous domains, domains that are categorical, or that mix continuous and…

机器学习 · 统计学 2021-06-11 Xingchen Wan , Vu Nguyen , Huong Ha , Binxin Ru , Cong Lu , Michael A. Osborne

We consider Bayesian optimization of the output of a network of functions, where each function takes as input the output of its parent nodes, and where the network takes significant time to evaluate. Such problems arise, for example, in…

机器学习 · 计算机科学 2022-01-03 Raul Astudillo , Peter I. Frazier

Black-box problems are common in real life like structural design, drug experiments, and machine learning. When optimizing black-box systems, decision-makers always consider multiple performances and give the final decision by comprehensive…

机器学习 · 计算机科学 2021-01-22 Wenjie Chen , Shengcai Liu , Ke Tang

A major challenge in Bayesian Optimization is the boundary issue (Swersky, 2017) where an algorithm spends too many evaluations near the boundary of its search space. In this paper, we propose BOCK, Bayesian Optimization with Cylindrical…

机器学习 · 统计学 2019-10-30 ChangYong Oh , Efstratios Gavves , Max Welling

Many expensive black-box optimisation problems are sensitive to their inputs. In these problems it makes more sense to locate a region of good designs, than a single-possibly fragile-optimal design. Expensive black-box functions can be…

机器学习 · 计算机科学 2021-12-16 Nicholas D. Sanders , Richard M. Everson , Jonathan E. Fieldsend , Alma A. M. Rahat

We consider online statistical inference of constrained stochastic nonlinear optimization problems. We apply the Stochastic Sequential Quadratic Programming (StoSQP) method to solve these problems, which can be regarded as applying…

最优化与控制 · 数学 2025-02-19 Sen Na , Michael W. Mahoney

Bayesian hyperparameter optimization relies heavily on Gaussian Process (GP) surrogates, due to robust distributional posteriors and strong performance on limited training samples. GPs however underperform in categorical hyperparameter…

机器学习 · 计算机科学 2025-09-23 Riccardo Doyle

Bayesian optimization has been shown to be a powerful tool for solving black box problems during online accelerator optimization. The major advantage of Bayesian based optimization techniques is the ability to include prior information…

加速器物理 · 物理学 2022-11-17 Connie Xu , Ryan Roussel , Auralee Edelen

We develop parallel predictive entropy search (PPES), a novel algorithm for Bayesian optimization of expensive black-box objective functions. At each iteration, PPES aims to select a batch of points which will maximize the information gain…

机器学习 · 计算机科学 2015-11-24 Amar Shah , Zoubin Ghahramani

This study investigates the application of Bayesian Optimization (BO) for the hyperparameter tuning of neural networks, specifically targeting the enhancement of Convolutional Neural Networks (CNN) for image classification tasks. Bayesian…

机器学习 · 计算机科学 2024-10-30 Gabriele Onorato

The present paper proposes a Bayesian framework for inverse problems that seamlessly integrates optimization and inversion to enable rapid surrogate modeling, accurate parameter inference, and rigorous uncertainty quantification. Bayesian…

计算工程、金融与科学 · 计算机科学 2026-02-05 Mihaela Chiappetta , Massimo Carraturo , Alexander Raßloff , Markus Kästner , Ferdinando Auricchio

Bayesian optimization is a popular formalism for global optimization, but its computational costs limit it to expensive-to-evaluate functions. A competing, computationally more efficient, global optimization framework is optimistic…

机器学习 · 计算机科学 2022-09-05 Julia Grosse , Cheng Zhang , Philipp Hennig

We consider solving nonlinear optimization problems with a stochastic objective and deterministic equality constraints. We assume for the objective that its evaluation, gradient, and Hessian are inaccessible, while one can compute their…

最优化与控制 · 数学 2022-06-07 Sen Na , Mihai Anitescu , Mladen Kolar

Quantum machine learning promises great speedups over classical algorithms, but it often requires repeated computations to achieve a desired level of accuracy for its point estimates. Bayesian learning focuses more on sampling from…

量子物理 · 物理学 2021-07-21 Noah Berner , Vincent Fortuin , Jonas Landman

We propose a trust-region stochastic sequential quadratic programming algorithm (TR-StoSQP) to solve nonlinear optimization problems with stochastic objectives and deterministic equality constraints. We consider a fully stochastic setting,…

最优化与控制 · 数学 2024-01-30 Yuchen Fang , Sen Na , Michael W. Mahoney , Mladen Kolar

Bayesian optimization (BO) is a powerful approach to sample-efficient optimization of black-box functions. However, in settings with very few function evaluations, a successful application of BO may require transferring information from…

机器学习 · 计算机科学 2024-09-10 Aryan Deshwal , Sait Cakmak , Yuhou Xia , David Eriksson