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Bayesian optimization is an effective methodology for the global optimization of functions with expensive evaluations. It relies on querying a distribution over functions defined by a relatively cheap surrogate model. An accurate model for…

In this article, we propose and develop a novel Bayesian algorithm for optimization of functions whose first and second partial derivatives are known. The basic premise is the Gaussian process representation of the function which induces a…

最优化与控制 · 数学 2020-10-27 Sucharita Roy , Sourabh Bhattacharya

Bayesian optimization (BO) is a popular approach to optimize expensive-to-evaluate black-box functions. A significant challenge in BO is to scale to high-dimensional parameter spaces while retaining sample efficiency. A solution considered…

机器学习 · 统计学 2020-10-26 Benjamin Letham , Roberto Calandra , Akshara Rai , Eytan Bakshy

Bayesian optimization (BO) has been broadly applied to computational expensive problems, but it is still challenging to extend BO to high dimensions. Existing works are usually under strict assumption of an additive or a linear embedding…

机器学习 · 计算机科学 2019-07-23 Miao Zhang , Huiqi Li , Steven Su

With the advent of big data applications, which tends to have longer execution time, choosing the right cloud VM to run these applications has significant performance as well as economic implications. For example, in our large-scale…

分布式、并行与集群计算 · 计算机科学 2018-01-01 Chin-Jung Hsu , Vivek Nair , Vincent W. Freeh , Tim Menzies

Clinical outcome prediction from high-dimensional data is problematic in the common setting where there is only a relatively small number of samples. The imbalance causes data overfitting, and outcome prediction becomes computationally…

统计计算 · 统计学 2014-06-20 A Shalabi , A C C Coolen , E de Rinaldis

Bayesian optimization is a sample-efficient method for solving expensive, black-box optimization problems. Stochastic programming concerns optimization under uncertainty where, typically, average performance is the quantity of interest. In…

机器学习 · 统计学 2025-02-19 Jack M. Buckingham , Ivo Couckuyt , Juergen Branke

Hyperparameter optimization in machine learning is often achieved using naive techniques that only lead to an approximate set of hyperparameters. Although techniques such as Bayesian optimization perform an intelligent search on a given…

机器学习 · 计算机科学 2023-06-21 Ankur Sinha , Satender Gunwal , Shivam Kumar

Recent advances have extended the scope of Bayesian optimization (BO) to expensive-to-evaluate black-box functions with dozens of dimensions, aspiring to unlock impactful applications, for example, in the life sciences, neural architecture…

机器学习 · 计算机科学 2026-05-15 Leonard Papenmeier , Luigi Nardi , Matthias Poloczek

Bayesian inverse problems use observed data to update a prior probability distribution for an unknown state or parameter of a scientific system to a posterior distribution conditioned on the data. In many applications, the unknown parameter…

数值分析 · 数学 2026-05-12 Josie König , Elizabeth Qian , Melina A. Freitag

It is commonly believed that Bayesian optimization (BO) algorithms are highly efficient for optimizing numerically costly functions. However, BO is not often compared to widely different alternatives, and is mostly tested on narrow sets of…

最优化与控制 · 数学 2021-10-01 Rodolphe Le Riche , Victor Picheny

Despite the dominant role of deep models in machine learning, limitations persist, including overconfident predictions, susceptibility to adversarial attacks, and underestimation of variability in predictions. The Bayesian paradigm provides…

机器学习 · 统计学 2025-06-18 Alisa Sheinkman , Sara Wade

Bayesian optimization is known to be difficult to scale to high dimensions, because the acquisition step requires solving a non-convex optimization problem in the same search space. In order to scale the method and keep its benefits, we…

机器学习 · 计算机科学 2019-05-29 Johannes Kirschner , Mojmír Mutný , Nicole Hiller , Rasmus Ischebeck , Andreas Krause

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

Modern deep learning methods are very sensitive to many hyperparameters, and, due to the long training times of state-of-the-art models, vanilla Bayesian hyperparameter optimization is typically computationally infeasible. On the other…

机器学习 · 计算机科学 2018-07-06 Stefan Falkner , Aaron Klein , Frank Hutter

Bayesian optimization is a technique for optimizing black-box target functions. At the core of Bayesian optimization is a surrogate model that predicts the output of the target function at previously unseen inputs to facilitate the…

机器学习 · 计算机科学 2022-03-04 Felix Jimenez , Matthias Katzfuss

Recent work on Bayesian optimization has shown its effectiveness in global optimization of difficult black-box objective functions. Many real-world optimization problems of interest also have constraints which are unknown a priori. In this…

机器学习 · 统计学 2014-03-25 Michael A. Gelbart , Jasper Snoek , Ryan P. Adams

Bayesian optimisation has gained great popularity as a tool for optimising the parameters of machine learning algorithms and models. Somewhat ironically, setting up the hyper-parameters of Bayesian optimisation methods is notoriously hard.…

机器学习 · 统计学 2014-07-01 Ziyu Wang , Nando de Freitas

Bayesian Optimization has become the reference method for the global optimization of black box, expensive and possibly noisy functions. Bayesian Op-timization learns a probabilistic model about the objective function, usually a Gaussian…

机器学习 · 统计学 2020-03-10 Antonio Candelieri , Ilaria Giordani , Riccardo Perego , Francesco Archetti

Finding optimal parameter configurations for tunable GPU kernels is a non-trivial exercise for large search spaces, even when automated. This poses an optimization task on a non-convex search space, using an expensive to evaluate function…

机器学习 · 计算机科学 2021-12-01 Floris-Jan Willemsen , Rob van Nieuwpoort , Ben van Werkhoven