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This paper analyzes the problem of Gaussian process (GP) bandits with deterministic observations. The analysis uses a branch and bound algorithm that is related to the UCB algorithm of (Srinivas et al, 2010). For GPs with Gaussian…

机器学习 · 计算机科学 2012-07-03 Nando de Freitas , Alex Smola , Masrour Zoghi

In their standard form Gaussian processes (GPs) provide a powerful non-parametric framework for regression and classificaton tasks. Their one limiting property is their $\mathcal{O}(N^{3})$ scaling where $N$ is the number of training data…

机器学习 · 统计学 2020-01-16 Vidhi Lalchand , A. C. Faul

Bayesian optimization (BO ) is an effective method for optimizing expensive-to-evaluate black-box functions. While high-dimensional problems can be particularly challenging, due to the multitude of parameter choices and the potentially high…

机器学习 · 计算机科学 2025-04-09 Erik Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

机器学习 · 计算机科学 2026-05-07 Jesse Schneider , William J. Welch

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

机器学习 · 统计学 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Sparse Gaussian Processes are a key component of high-throughput Bayesian optimisation (BO) loops -- an increasingly common setting where evaluation budgets are large and highly parallelised. By using representative subsets of the available…

机器学习 · 计算机科学 2022-07-14 Henry B. Moss , Sebastian W. Ober , Victor Picheny

Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

机器学习 · 计算机科学 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

We present variational sequential optimal experimental design (vsOED), a novel method for optimally designing a finite sequence of experiments within a Bayesian framework with information-theoretic criteria. vsOED employs a one-point reward…

机器学习 · 统计学 2026-04-08 Wanggang Shen , Jiayuan Dong , Xun Huan

Policy search reinforcement learning has been drawing much attention as a method of learning a robot control policy. In particular, policy search using such non-parametric policies as Gaussian process regression can learn optimal actions…

机器人学 · 计算机科学 2021-06-15 Hikaru Sasaki , Takamitsu Matsubara

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

机器学习 · 统计学 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams

We study preferential Bayesian optimization (BO) where reliable feedback is limited to pairwise comparison called duels. An important challenge in preferential BO, which uses the preferential Gaussian process (GP) model to represent…

机器学习 · 计算机科学 2023-06-13 Shion Takeno , Masahiro Nomura , Masayuki Karasuyama

Many machine learning models require a training procedure based on running stochastic gradient descent. A key element for the efficiency of those algorithms is the choice of the learning rate schedule. While finding good learning rates…

机器学习 · 统计学 2020-06-26 Victor Picheny , Vincent Dutordoir , Artem Artemev , Nicolas Durrande

A key drawback of the current generation of artificial decision-makers is that they do not adapt well to changes in unexpected situations. This paper addresses the situation in which an AI for aerial dog fighting, with tunable parameters…

机器学习 · 统计学 2016-12-14 Brett Israelsen , Nisar Ahmed

We present Quantized Variational Inference, a new algorithm for Evidence Lower Bound maximization. We show how Optimal Voronoi Tesselation produces variance free gradients for ELBO optimization at the cost of introducing asymptotically…

机器学习 · 统计学 2020-11-05 Amir Dib

Much of the recent literature on bandit learning focuses on algorithms that aim to converge on an optimal action. One shortcoming is that this orientation does not account for time sensitivity, which can play a crucial role when learning an…

机器学习 · 计算机科学 2020-01-09 Daniel Russo , Benjamin Van Roy

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

Gradient-variation online learning has drawn increasing attention due to its deep connections to game theory, optimization, etc. It has been studied extensively in the full-information setting, but is underexplored with bandit feedback. In…

机器学习 · 计算机科学 2026-02-05 Hang Yu , Yu-Hu Yan , Peng Zhao

Modern stochastic optimization methods often rely on uniform sampling which is agnostic to the underlying characteristics of the data. This might degrade the convergence by yielding estimates that suffer from a high variance. A possible…

机器学习 · 统计学 2018-06-07 Zalán Borsos , Andreas Krause , Kfir Y. Levy

Google Vizier has performed millions of optimizations and accelerated numerous research and production systems at Google, demonstrating the success of Bayesian optimization as a large-scale service. Over multiple years, its algorithm has…

Bayesian optimization (BO) selects evaluation points for expensive black-box objectives using Gaussian process (GP) predictive distributions. Kernel choice and hyperparameter selection can lead to miscalibrated predictive distributions and…

机器学习 · 统计学 2026-05-20 Aurélien Pion , Emmanuel Vazquez