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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

In this paper we model the loss function of high-dimensional optimization problems by a Gaussian random field, or equivalently a Gaussian process. Our aim is to study gradient descent in such loss functions or energy landscapes and compare…

机器学习 · 统计学 2018-03-28 Mariano Chouza , Stephen Roberts , Stefan Zohren

Gaussian processes (GP) provide a prior over functions and allow finding complex regularities in data. Gaussian processes are successfully used for classification/regression problems and dimensionality reduction. In this work we consider…

机器学习 · 计算机科学 2016-11-21 Pavel Izmailov , Dmitry Kropotov

Many functions have approximately-known upper and/or lower bounds, potentially aiding the modeling of such functions. In this paper, we introduce Gaussian process models for functions where such bounds are (approximately) known. More…

机器学习 · 计算机科学 2022-10-20 Vu Nguyen , Marc Peter Deisenroth , Michael A. Osborne

This paper addresses black-box optimization over multiple information sources whose both fidelity and query cost change over the search space, that is they are location dependent. The approach uses: (i) an Augmented Gaussian Process,…

机器学习 · 计算机科学 2021-02-10 Antonio Candelieri , Francesco Archetti

Current remote sensing image classification problems have to deal with an unprecedented amount of heterogeneous and complex data sources. Upcoming missions will soon provide large data streams that will make land cover/use classification…

机器学习 · 计算机科学 2017-10-04 Pablo Morales-Alvarez , Adrian Perez-Suay , Rafael Molina , Gustau Camps-Valls

Optimization of high-dimensional black-box functions is an extremely challenging problem. While Bayesian optimization has emerged as a popular approach for optimizing black-box functions, its applicability has been limited to…

机器学习 · 统计学 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli

Building surrogate models is one common approach when we attempt to learn unknown black-box functions. Bayesian optimization provides a framework which allows us to build surrogate models based on sequential samples drawn from the function…

机器学习 · 计算机科学 2021-09-17 Hengrui Luo , James W. Demmel , Younghyun Cho , Xiaoye S. Li , Yang Liu

Optimising black-box functions is important in many disciplines, such as tuning machine learning models, robotics, finance and mining exploration. Bayesian optimisation is a state-of-the-art technique for the global optimisation of…

机器学习 · 计算机科学 2015-03-05 John-Alexander M. Assael , Ziyu Wang , Bobak Shahriari , Nando de Freitas

Decoders built on Gaussian processes (GPs) are enticing due to the marginalisation over the non-linear function space. Such models (also known as GP-LVMs) are often expensive and notoriously difficult to train in practice, but can be scaled…

机器学习 · 统计学 2022-11-28 Pablo Moreno-Muñoz , Cilie W Feldager , Søren Hauberg

We develop an automated variational inference method for Bayesian structured prediction problems with Gaussian process (GP) priors and linear-chain likelihoods. Our approach does not need to know the details of the structured likelihood…

机器学习 · 统计学 2016-09-15 Pietro Galliani , Amir Dezfouli , Edwin V. Bonilla , Novi Quadrianto

Bayesian optimization is a powerful paradigm to optimize black-box functions based on scarce and noisy data. Its data efficiency can be further improved by transfer learning from related tasks. While recent transfer models meta-learn a…

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

This paper proposes novel noise-free Bayesian optimization strategies that rely on a random exploration step to enhance the accuracy of Gaussian process surrogate models. The new algorithms retain the ease of implementation of the classical…

机器学习 · 计算机科学 2024-07-18 Hwanwoo Kim , Daniel Sanz-Alonso

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

机器学习 · 计算机科学 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

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

Some real-world problems revolve to solve the optimization problem \max_{x\in\mathcal{X}}f\left(x\right) where f\left(.\right) is a black-box function and X might be the set of non-vectorial objects (e.g., distributions) where we can only…

机器学习 · 计算机科学 2017-09-20 Trung Le , Khanh Nguyen , Tu Dinh Nguyen , Dinh Phung

We propose a simple method that combines neural networks and Gaussian processes. The proposed method can estimate the uncertainty of outputs and flexibly adjust target functions where training data exist, which are advantages of Gaussian…

机器学习 · 统计学 2017-07-20 Tomoharu Iwata , Zoubin Ghahramani

Computing a Gaussian process (GP) posterior has a computational cost cubical in the number of historical points. A reformulation of the same GP posterior highlights that this complexity mainly depends on how many \emph{unique} historical…

We study the Gaussian Process regression model in the context of training data with noise in both input and output. The presence of two sources of noise makes the task of learning accurate predictive models extremely challenging. However,…

机器学习 · 统计学 2015-07-03 Cuong Tran , Vladimir Pavlovic , Robert Kopp