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Several scenarios require the optimization of non-convex black-box functions, that are noisy expensive to evaluate functions with unknown analytical expression, whose gradients are hence not accessible. For example, the hyper-parameter…

机器学习 · 计算机科学 2025-02-12 Eduardo C. Garrido-Merchán

Gaussian process (GP) based Bayesian optimization (BO) is a powerful method for optimizing black-box functions efficiently. The practical performance and theoretical guarantees of this approach depend on having the correct GP hyperparameter…

机器学习 · 统计学 2024-06-07 Huong Ha , Vu Nguyen , Hung Tran-The , Hongyu Zhang , Xiuzhen Zhang , Anton van den Hengel

The performance of many machine learning models depends on their hyper-parameter settings. Bayesian Optimization has become a successful tool for hyper-parameter optimization of machine learning algorithms, which aims to identify optimal…

机器学习 · 计算机科学 2020-08-04 Lidan Wang , Franck Dernoncourt , Trung Bui

Bayesian Optimization is a sample-efficient black-box optimization procedure that is typically applied to problems with a small number of independent objectives. However, in practice we often wish to optimize objectives defined over many…

机器学习 · 计算机科学 2021-10-29 Wesley J. Maddox , Maximilian Balandat , Andrew Gordon Wilson , Eytan Bakshy

In this paper, we propose a generic and simple strategy for utilizing stochastic gradient information in optimization. The technique essentially contains two consecutive steps in each iteration: 1) computing and normalizing each block…

机器学习 · 计算机科学 2018-04-24 Adams Wei Yu , Lei Huang , Qihang Lin , Ruslan Salakhutdinov , Jaime Carbonell

We propose a practical Bayesian optimization method over sets, to minimize a black-box function that takes a set as a single input. Because set inputs are permutation-invariant, traditional Gaussian process-based Bayesian optimization…

机器学习 · 统计学 2021-01-26 Jungtaek Kim , Michael McCourt , Tackgeun You , Saehoon Kim , Seungjin Choi

The aim of black-box optimization is to optimize an objective function within the constraints of a given evaluation budget. In this problem, it is generally assumed that the computational cost for evaluating a point is large; thus, it is…

机器学习 · 统计学 2019-12-03 Masahiro Nomura , Kenshi Abe

A bilevel optimization problem consists of two optimization problems nested as an upper- and a lower-level problem, in which the optimality of the lower-level problem defines a constraint for the upper-level problem. This paper considers…

机器学习 · 计算机科学 2026-02-27 Takuya Kanayama , Yuki Ito , Tomoyuki Tamura , Masayuki Karasuyama

Many contemporary machine learning models require extensive tuning of hyperparameters to perform well. A variety of methods, such as Bayesian optimization, have been developed to automate and expedite this process. However, tuning remains…

机器学习 · 计算机科学 2020-02-25 Setareh Ariafar , Zelda Mariet , Ehsan Elhamifar , Dana Brooks , Jennifer Dy , Jasper Snoek

Bayesian optimization (BO) provides a powerful framework for optimizing black-box, expensive-to-evaluate functions. It is therefore an attractive tool for engineering design problems, typically involving multiple objectives. Thanks to the…

机器学习 · 计算机科学 2024-09-06 Navid Ansari , Alireza Javanmardi , Eyke Hüllermeier , Hans-Peter Seidel , Vahid Babaei

Bayesian optimization provides an effective method to optimize expensive-to-evaluate black box functions. It has been widely applied to problems in many fields, including notably in computer science, e.g. in machine learning to optimize…

机器学习 · 计算机科学 2025-11-18 Mike Diessner , Joseph O'Connor , Andrew Wynn , Sylvain Laizet , Yu Guan , Kevin Wilson , Richard D. Whalley

We propose a multistage method for making inference at all levels of a Bayesian hierarchical model (BHM) using natural data partitions to increase efficiency by allowing computations to take place in parallel form using software that is…

统计方法学 · 统计学 2021-09-23 Devin S. Johnson , Brian M. Brost , Mevin B. Hooten

Bayesian optimisation is a popular technique for hyperparameter learning but typically requires initial exploration even in cases where similar prior tasks have been solved. We propose to transfer information across tasks using learnt…

机器学习 · 统计学 2019-05-28 Ho Chung Leon Law , Peilin Zhao , Lucian Chan , Junzhou Huang , Dino Sejdinovic

Batch normalization (BN) has become a critical component across diverse deep neural networks. The network with BN is invariant to positively linear re-scale transformation, which makes there exist infinite functionally equivalent networks…

机器学习 · 计算机科学 2022-06-07 Mingyang Yi

High-fidelity complex engineering simulations are highly predictive, but also computationally expensive and often require substantial computational efforts. The mitigation of computational burden is usually enabled through parallelism in…

机器学习 · 统计学 2021-02-08 Anh Tran , Mike Eldred , Tim Wildey , Scott McCann , Jing Sun , Robert J. Visintainer

It is already reported in the literature that the performance of a machine learning algorithm is greatly impacted by performing proper Hyper-Parameter optimization. One of the ways to perform Hyper-Parameter optimization is by manual search…

机器学习 · 计算机科学 2020-05-26 Sayan Putatunda , Kiran Rama

Bayesian methods in machine learning, such as Gaussian processes, have great advantages com-pared to other techniques. In particular, they provide estimates of the uncertainty associated with a prediction. Extending the Bayesian approach to…

量子物理 · 物理学 2019-05-20 Zhikuan Zhao , Alejandro Pozas-Kerstjens , Patrick Rebentrost , Peter Wittek

In this paper we present a new algorithm for online (sequential) inference in Bayesian neural networks, and show its suitability for tackling contextual bandit problems. The key idea is to combine the extended Kalman filter (which locally…

机器学习 · 计算机科学 2022-05-02 Gerardo Duran-Martin , Aleyna Kara , Kevin Murphy

Local Bayesian optimization is a promising practical approach to solve the high dimensional black-box function optimization problem. Among them is the approximated gradient class of methods, which implements a strategy similar to gradient…

机器学习 · 计算机科学 2024-05-27 Zheyi Fan , Wenyu Wang , Szu Hui Ng , Qingpei Hu

We present a multilevel stochastic gradient descent method for the optimal control of systems governed by partial differential equations under uncertain input data. The gradient descent method used to find the optimal control leverages a…

最优化与控制 · 数学 2025-06-04 Niklas Baumgarten , David Schneiderhan