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Bayesian Optimization (BO) is a method for globally optimizing black-box functions. While BO has been successfully applied to many scenarios, developing effective BO algorithms that scale to functions with high-dimensional domains is still…

机器学习 · 计算机科学 2024-02-13 Yihang Shen , Carl Kingsford

We consider Bayesian optimization of objective functions of the form $\rho[ F(x, W) ]$, where $F$ is a black-box expensive-to-evaluate function and $\rho$ denotes either the VaR or CVaR risk measure, computed with respect to the randomness…

机器学习 · 统计学 2020-11-05 Sait Cakmak , Raul Astudillo , Peter Frazier , Enlu Zhou

Bayesian optimization (BO) is one of the most powerful strategies to solve computationally expensive-to-evaluate blackbox optimization problems. However, BO methods are conventionally used for optimization problems of small dimension…

最优化与控制 · 数学 2025-02-10 Rémy Priem , Youssef Diouane , Nathalie Bartoli , Sylvain Dubreuil , Paul Saves

The PC algorithm is a popular method for learning the structure of Gaussian Bayesian networks. It carries out statistical tests to determine absent edges in the network. It is hence governed by two parameters: (i) The type of test, and (ii)…

We present an optimizer which uses Bayesian optimization to tune the system parameters of distributed stochastic gradient descent (SGD). Given a specific context, our goal is to quickly find efficient configurations which appropriately…

机器学习 · 统计学 2016-12-04 Valentin Dalibard , Michael Schaarschmidt , Eiko Yoneki

Bayesian optimization is an elegant solution to the hyperparameter optimization problem in machine learning. Building a reliable and robust Bayesian optimization service requires careful testing methodology and sound statistical analysis.…

机器学习 · 计算机科学 2016-05-23 Ian Dewancker , Michael McCourt , Scott Clark , Patrick Hayes , Alexandra Johnson , George Ke

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

This paper proposes the first-ever algorithmic framework for tuning hyper-parameters of stochastic optimization algorithm based on reinforcement learning. Hyper-parameters impose significant influences on the performance of stochastic…

机器学习 · 计算机科学 2020-03-11 Haotian Zhang , Jianyong Sun , Zongben Xu

Bayesian coresets have emerged as a promising approach for implementing scalable Bayesian inference. The Bayesian coreset problem involves selecting a (weighted) subset of the data samples, such that the posterior inference using the…

机器学习 · 统计学 2021-03-01 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

Bayesian optimization (BO) is widely adopted in black-box optimization problems and it relies on a surrogate model to approximate the black-box response function. With the increasing number of black-box optimization tasks solved and even…

机器学习 · 计算机科学 2023-08-10 Wenlong Lyu , Shoubo Hu , Jie Chuai , Zhitang Chen

Computational chemistry has become an important tool to predict and understand molecular properties and reactions. Even though recent years have seen a significant growth in new algorithms and computational methods that speed up quantum…

化学物理 · 物理学 2023-07-26 Albert Thie , Maximilian F. S. J. Menger , Shirin Faraji

Optimization strategies driven by machine learning, such as Bayesian optimization, are being explored across experimental sciences as an efficient alternative to traditional design of experiment. When combined with automated laboratory…

最优化与控制 · 数学 2022-10-18 Riley J. Hickman , Matteo Aldeghi , Florian Häse , Alán Aspuru-Guzik

A natural way to quantify uncertainties in Gaussian mixture models (GMMs) is through Bayesian methods. That said, sampling from the joint posterior distribution of GMMs via standard Markov chain Monte Carlo (MCMC) imposes several…

统计方法学 · 统计学 2024-05-20 Santiago Marin , Bronwyn Loong , Anton H. Westveld

Bayesian optimization is a powerful global optimization technique for expensive black-box functions. One of its shortcomings is that it requires auxiliary optimization of an acquisition function at each iteration. This auxiliary…

机器学习 · 统计学 2014-02-28 Ziyu Wang , Babak Shakibi , Lin Jin , Nando de Freitas

We propose an active learning method for discovering low-dimensional structure in high-dimensional Gaussian process (GP) tasks. Such problems are increasingly frequent and important, but have hitherto presented severe practical…

机器学习 · 统计学 2013-10-28 Roman Garnett , Michael A. Osborne , Philipp Hennig

In this paper, we present a cross-entropy optimization method for hyperparameter optimization in stochastic gradient-based approaches to train deep neural networks. The value of a hyperparameter of a learning algorithm often has great…

机器学习 · 计算机科学 2024-09-17 Kevin Li , Fulu Li

We study Bayesian methods for large-scale linear inverse problems, focusing on the challenging task of hyperparameter estimation. Typical hierarchical Bayesian formulations that follow a Markov Chain Monte Carlo approach are possible for…

数值分析 · 数学 2024-01-05 Khalil A Hall-Hooper , Arvind K Saibaba , Julianne Chung , Scot M Miller

Graph Neural Networks (GNNs) can predict the performance of an industrial design quickly and accurately and be used to optimize its shape effectively. However, to fully explore the shape space, one must often consider shapes deviating…

机器学习 · 计算机科学 2023-10-03 Nikita Durasov , Artem Lukoyanov , Jonathan Donier , Pascal Fua

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

In high-dimensional settings, Bayesian optimization (BO) can be expensive and infeasible. The random embedding Bayesian optimization algorithm is commonly used to address high-dimensional BO challenges. However, this method relies on the…

机器学习 · 计算机科学 2024-08-12 Jiaming Lu , Rong J. B. Zhu