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Bayesian Optimization is a popular approach for optimizing expensive black-box functions. Its key idea is to use a surrogate model to approximate the objective and, importantly, quantify the associated uncertainty that allows a sequential…

机器学习 · 统计学 2025-02-05 Haoxian Chen , Henry Lam

Machine learning pipeline potentially consists of several stages of operations like data preprocessing, feature engineering and machine learning model training. Each operation has a set of hyper-parameters, which can become irrelevant for…

机器学习 · 计算机科学 2021-05-04 Xudong Sun , Jiali Lin , Bernd Bischl

Automatic Machine Learning (Auto-ML) systems tackle the problem of automating the design of prediction models or pipelines for data science. In this paper, we present Lifelong Bayesian Optimization (LBO), an online, multitask Bayesian…

机器学习 · 统计学 2019-06-24 Yao Zhang , James Jordon , Ahmed M. Alaa , Mihaela van der Schaar

Bayesian optimization (BO) is an effective technique for black-box optimization. However, its applicability is typically limited to moderate-budget problems due to the cubic complexity of fitting the Gaussian process (GP) surrogate model.…

机器学习 · 统计学 2025-10-13 Qiyu Wei , Haowei Wang , Zirui Cao , Songhao Wang , Richard Allmendinger , Mauricio A Álvarez

The Bayesian treatment of neural networks dictates that a prior distribution is specified over their weight and bias parameters. This poses a challenge because modern neural networks are characterized by a large number of parameters, and…

机器学习 · 统计学 2022-04-26 Ba-Hien Tran , Simone Rossi , Dimitrios Milios , Maurizio Filippone

Bayesian inversion is central to the quantification of uncertainty within problems arising from numerous applications in science and engineering. To formulate the approach, four ingredients are required: a forward model mapping the unknown…

机器学习 · 统计学 2025-05-15 O. Deniz Akyildiz , Mark Girolami , Andrew M. Stuart , Arnaud Vadeboncoeur

Bayesian Optimization (BO) is a foundational strategy in the field of engineering design optimization for efficiently handling black-box functions with many constraints and expensive evaluations. This paper introduces a fast and accurate BO…

计算工程、金融与科学 · 计算机科学 2024-04-09 Rosen , Yu , Cyril Picard , Faez Ahmed

Missing time-series data is a prevalent problem in many prescriptive analytics models in operations management, healthcare and finance. Imputation methods for time-series data are usually applied to the full panel data with the purpose of…

统计方法学 · 统计学 2023-04-13 Jose Blanchet , Fernando Hernandez , Viet Anh Nguyen , Markus Pelger , Xuhui Zhang

Bayesian models often involve a small set of hyperparameters determined by maximizing the marginal likelihood. Bayesian optimization is a popular iterative method where a Gaussian process posterior of the underlying function is sequentially…

统计计算 · 统计学 2022-08-18 Oskar Gustafsson , Mattias Villani , Pär Stockhammar

Bayesian model reduction provides an efficient approach for comparing the performance of all nested sub-models of a model, without re-evaluating any of these sub-models. Until now, Bayesian model reduction has been applied mainly in the…

机器学习 · 计算机科学 2024-10-15 Jim Beckers , Bart van Erp , Ziyue Zhao , Kirill Kondrashov , Bert de Vries

Bayesian optimization (BO) is a sequential approach for optimizing black-box objective functions using zeroth-order noisy observations. In BO, Gaussian processes (GPs) are employed as probabilistic surrogate models to estimate the objective…

机器学习 · 计算机科学 2025-04-02 Dongwon Kim , Matteo Zecchin , Sangwoo Park , Joonhyuk Kang , Osvaldo Simeone

Bayesian optimization is an approach to optimizing objective functions that take a long time (minutes or hours) to evaluate. It is best-suited for optimization over continuous domains of less than 20 dimensions, and tolerates stochastic…

机器学习 · 统计学 2018-07-10 Peter I. Frazier

Some machine learning applications require continual learning - where data comes in a sequence of datasets, each is used for training and then permanently discarded. From a Bayesian perspective, continual learning seems straightforward:…

机器学习 · 统计学 2019-02-19 Sebastian Farquhar , Yarin Gal

Data-efficient learning algorithms are essential in many practical applications for which data collection is expensive, e.g., for the optimal deployment of wireless systems in unknown propagation scenarios. Meta-learning can address this…

机器学习 · 计算机科学 2022-05-25 Ivana Nikoloska , Osvaldo Simeone

A Bayesian optimization algorithm for the nurse scheduling problem is presented, which involves choosing a suitable scheduling rule from a set for each nurses assignment. Unlike our previous work that used Gas to implement implicit…

神经与进化计算 · 计算机科学 2010-07-05 Jingpeng Li , Uwe Aickelin

Most machine learning methods require careful selection of hyper-parameters in order to train a high performing model with good generalization abilities. Hence, several automatic selection algorithms have been introduced to overcome tedious…

机器学习 · 计算机科学 2020-01-17 Raju Ram , Sabine Müller , Franz-Josef Pfreundt , Nicolas R. Gauger , Janis Keuper

Datasets in engineering applications are often limited and contaminated, mainly due to unavoidable measurement noise and signal distortion. Thus, using conventional data-driven approaches to build a reliable discriminative model, and…

机器学习 · 统计学 2020-04-14 Xihaier Luo , Ahsan Kareem

Bayesian optimization (BO) methods often rely on the assumption that the objective function is well-behaved, but in practice, this is seldom true for real-world objectives even if noise-free observations can be collected. Common approaches,…

Bayesian optimization has emerged as a highly effective tool for the safe online optimization of systems, due to its high sample efficiency and noise robustness. To further enhance its efficiency, reduced physical models of the system can…

机器学习 · 计算机科学 2024-06-18 Jannis O. Lübsen , Christian Hespe , Annika Eichler

Bayesian optimisation is an adaptive sampling strategy for constructing a Gaussian process surrogate to efficiently search for the global minimum of a black-box computational model. Gaussian processes have limited applicability in…

应用统计 · 统计学 2025-12-04 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak