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Multi-objective Bayesian optimization aims to find the Pareto front of trade-offs between a set of expensive objectives while collecting as few samples as possible. In some cases, it is possible to evaluate the objectives separately, and a…

机器学习 · 统计学 2025-03-04 Jack M. Buckingham , Sebastian Rojas Gonzalez , Juergen Branke

We propose a first-order method for convex optimization, where instead of being restricted to the gradient from a single parameter, gradients from multiple parameters can be used during each step of gradient descent. This setup is…

机器学习 · 计算机科学 2023-02-08 Yash Chandak , Shiv Shankar , Venkata Gandikota , Philip S. Thomas , Arya Mazumdar

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

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…

Bayesian global optimization (BGO) is an efficient surrogate-assisted technique for problems involving expensive evaluations. A parallel technique can be used to parallelly evaluate the true-expensive objective functions in one iteration to…

人工智能 · 计算机科学 2022-08-09 Kaifeng Yang , Guozhi Dong , Michael Affenzeller

Multiple kernel learning algorithms are proposed to combine kernels in order to obtain a better similarity measure or to integrate feature representations coming from different data sources. Most of the previous research on such methods is…

机器学习 · 计算机科学 2012-07-03 Mehmet Gonen

Bayesian Optimisation (BO) methods seek to find global optima of objective functions which are only available as a black-box or are expensive to evaluate. Such methods construct a surrogate model for the objective function, quantifying the…

机器学习 · 统计学 2023-01-10 Enrico Crovini , Simon L. Cotter , Konstantinos Zygalakis , Andrew B. Duncan

Bayesian Optimization aims at optimizing an unknown non-convex/concave function that is costly to evaluate. We are interested in application scenarios where concurrent function evaluations are possible. Under such a setting, BO could choose…

人工智能 · 计算机科学 2012-05-02 Javad Azimi , Ali Jalali , Xiaoli Fern

Efficient optimisation of black-box problems that comprise both continuous and categorical inputs is important, yet poses significant challenges. We propose a new approach, Continuous and Categorical Bayesian Optimisation (CoCaBO), which…

机器学习 · 统计学 2020-08-11 Binxin Ru , Ahsan S. Alvi , Vu Nguyen , Michael A. Osborne , Stephen J Roberts

The question of how to parallelize the stochastic gradient descent (SGD) method has received much attention in the literature. In this paper, we focus instead on batch methods that use a sizeable fraction of the training set at each…

最优化与控制 · 数学 2016-10-26 Albert S. Berahas , Jorge Nocedal , Martin Takáč

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

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

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

人工智能 · 计算机科学 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

In recent years, leveraging parallel and distributed computational resources has become essential to solve problems of high computational cost. Bayesian optimization (BO) has shown attractive results in those expensive-to-evaluate problems…

机器学习 · 统计学 2020-06-25 Masahiro Nomura

Bayesian neural learning feature a rigorous approach to estimation and uncertainty quantification via the posterior distribution of weights that represent knowledge of the neural network. This not only provides point estimates of optimal…

机器学习 · 计算机科学 2018-11-13 Rohitash Chandra , Konark Jain , Ratneel V. Deo , Sally Cripps

Among the many possible approaches for the parallelization of self-organizing networks, and in particular of growing self-organizing networks, perhaps the most common one is producing an optimized, parallel implementation of the standard…

分布式、并行与集群计算 · 计算机科学 2015-03-31 Giacomo Parigi , Angelo Stramieri , Danilo Pau , Marco Piastra

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

机器学习 · 计算机科学 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

Estimation of Distribution Algorithms have been proposed as a new paradigm for evolutionary optimization. This paper focuses on the parallelization of Estimation of Distribution Algorithms. More specifically, the paper discusses how to…

神经与进化计算 · 计算机科学 2007-05-23 Jiri Ocenasek , Martin Pelikan

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…

机器学习 · 计算机科学 2019-03-13 Jian Wu , Saul Toscano-Palmerin , Peter I. Frazier , Andrew Gordon Wilson

Bayesian optimization is a popular and versatile approach that is well suited to solve challenging optimization problems. Their popularity comes from their effective minimization of expensive function evaluations, their capability to…

最优化与控制 · 数学 2026-05-14 André L. Marchildon , David W. Zingg