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Optimizing objectives under constraints, where both the objectives and constraints are black box functions, is a common scenario in real-world applications such as scientific experimental design, design of medical therapies, and industrial…

机器学习 · 计算机科学 2023-10-16 Fengxue Zhang , Zejie Zhu , Yuxin Chen

A popular strategy for active learning is to specifically target a reduction in epistemic uncertainty, since aleatoric uncertainty is often considered as being intrinsic to the system of interest and therefore not reducible. Yet,…

统计方法学 · 统计学 2024-12-12 Jake Thomas , Jeremie Houssineau

The acquisition function, a critical component in Bayesian optimization (BO), can often be written as the expectation of a utility function under a surrogate model. However, to ensure that acquisition functions are tractable to optimize,…

机器学习 · 计算机科学 2022-10-10 Jiaming Song , Lantao Yu , Willie Neiswanger , Stefano Ermon

Bayesian optimization (BO) has been widely used to optimize expensive and black-box functions across various domains. However, existing BO methods have not addressed tensor-output functions. To fill this gap, we propose a novel…

机器学习 · 计算机科学 2026-03-03 Jingru Huang , Haijie Xu , Jie Guo , Manrui Jiang , Chen Zhang

Bayesian optimization is an effective method for optimizing expensive-to-evaluate black-box functions. High-dimensional problems are particularly challenging as the surrogate model of the objective suffers from the curse of dimensionality,…

机器学习 · 计算机科学 2023-10-06 Erik Orm Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

It is commonly believed that Bayesian optimization (BO) algorithms are highly efficient for optimizing numerically costly functions. However, BO is not often compared to widely different alternatives, and is mostly tested on narrow sets of…

最优化与控制 · 数学 2021-10-01 Rodolphe Le Riche , Victor Picheny

Automatically searching for optimal hyperparameter configurations is of crucial importance for applying deep learning algorithms in practice. Recently, Bayesian optimization has been proposed for optimizing hyperparameters of various…

人工智能 · 计算机科学 2017-01-24 Ilija Ilievski , Taimoor Akhtar , Jiashi Feng , Christine Annette Shoemaker

One method to solve expensive black-box optimization problems is to use a surrogate model that approximates the objective based on previous observed evaluations. The surrogate, which is cheaper to evaluate, is optimized instead to find an…

最优化与控制 · 数学 2021-05-28 Rickard Karlsson , Laurens Bliek , Sicco Verwer , Mathijs de Weerdt

AI-assisted molecular optimization is a very active research field as it is expected to provide the next-generation drugs and molecular materials. An important difficulty is that the properties to be optimized rely on costly evaluations.…

机器学习 · 计算机科学 2025-05-19 Jules Leguy , Thomas Cauchy , Beatrice Duval , Benoit Da Mota

Bayesian optimisation (BO) has been a successful approach to optimise functions which are expensive to evaluate and whose observations are noisy. Classical BO algorithms, however, do not account for errors about the location where…

机器学习 · 计算机科学 2019-02-22 Rafael Oliveira , Lionel Ott , Fabio Ramos

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…

Because of its sample efficiency, Bayesian optimization (BO) has become a popular approach dealing with expensive black-box optimization problems, such as hyperparameter optimization (HPO). Recent empirical experiments showed that the loss…

机器学习 · 计算机科学 2021-11-11 Difan Deng , Marius Lindauer

Bayesian optimization (BO) is an efficient method for optimizing expensive black-box functions. In real-world applications, BO often faces a major problem of missing values in inputs. The missing inputs can happen in two cases. First, the…

机器学习 · 计算机科学 2020-06-22 Phuc Luong , Dang Nguyen , Sunil Gupta , Santu Rana , Svetha Venkatesh

Bayesian optimisation requires fitting a Gaussian process model, which in turn requires specifying prior on the unknown black-box function -- most of the theoretical literature assumes this prior is known. However, it is common to have more…

机器学习 · 计算机科学 2025-02-25 Juliusz Ziomek , Masaki Adachi , Michael A. Osborne

Bayesian optimisation is a popular method for efficient optimisation of expensive black-box functions. Traditionally, BO assumes that the search space is known. However, in many problems, this assumption does not hold. To this end, we…

机器学习 · 统计学 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Huong Ha , Svetha Venkatesh

Bayesian Optimization is critically vulnerable to extreme outliers. Existing provably robust methods typically assume a bounded cumulative corruption budget, which makes them defenseless against even a single corruption of sufficient…

机器学习 · 统计学 2026-02-17 Abdelhamid Ezzerg , Ilija Bogunovic , Jeremias Knoblauch

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

Bayesian optimization (BO) is a sample efficient approach to automatically tune the hyperparameters of machine learning models. In practice, one frequently has to solve similar hyperparameter tuning problems sequentially. For example, one…

机器学习 · 计算机科学 2021-02-26 Samuel Horváth , Aaron Klein , Peter Richtárik , Cédric Archambeau

The inflated beta regression model is widely used for modeling continuous proportions with values at the boundaries. Maximum likelihood estimation for these models is well-known for its sensitivity to outliers, which can severely distort…

统计方法学 · 统计学 2026-05-15 Francisco Felipe Queiroz , Silvia Lopes de Paula Ferrari

We focus on the problem of black-box adversarial attacks, where the aim is to generate adversarial examples using information limited to loss function evaluations of input-output pairs. We use Bayesian optimization~(BO) to specifically…

机器学习 · 计算机科学 2019-10-01 Satya Narayan Shukla , Anit Kumar Sahu , Devin Willmott , J. Zico Kolter
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