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Recent studies have empirically investigated different methods to train stochastic neural networks on a classification task by optimising a PAC-Bayesian bound via stochastic gradient descent. Most of these procedures need to replace the…

Machine Learning · Computer Science 2022-07-01 Eugenio Clerico , George Deligiannidis , Arnaud Doucet

High-dimensional Bayesian optimization (BO) tasks such as molecular design often require 10,000 function evaluations before obtaining meaningful results. While methods like sparse variational Gaussian processes (SVGPs) reduce computational…

Machine Learning · Computer Science 2025-06-11 Natalie Maus , Kyurae Kim , Geoff Pleiss , David Eriksson , John P. Cunningham , Jacob R. Gardner

Optical scatterometry is a method to measure the size and shape of periodic micro- or nanostructures on surfaces. For this purpose the geometry parameters of the structures are obtained by reproducing experimental measurement results…

Computational Physics · Physics 2020-06-24 Philipp-Immanuel Schneider , Martin Hammerschmidt , Lin Zschiedrich , Sven Burger

Bayesian optimisation is a sample efficient method for finding a global optimum of expensive black-box objective functions. Historic datasets from related problems can be exploited to help improve performance of Bayesian optimisation by…

Machine Learning · Computer Science 2026-01-23 Natasha Trinkle , Huong Ha , Jeffrey Chan

Stochastic, iterative search methods such as Evolutionary Algorithms (EAs) are proven to be efficient optimizers. However, they require evaluation of the candidate solutions which may be prohibitively expensive in many real world…

Neural and Evolutionary Computing · Computer Science 2013-03-12 Maumita Bhattacharya

Multi-Objective Evolutionary Algorithms (MOEAs) have proven effective at solving Multi-Objective Optimisation Problems (MOOPs). However, their performance can be significantly hindered when applied to computationally intensive industrial…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Tiwonge Msulira Banda , Alexandru-Ciprian Zăvoianu

Bayesian Optimization, leveraging Gaussian process models, has proven to be a powerful tool for minimizing expensive-to-evaluate objective functions by efficiently exploring the search space. Extensions such as constrained Bayesian…

Computation · Statistics 2025-06-03 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li

Both experimental and computational methods for the exploration of structure, functionality, and properties of materials often necessitate the search across broad parameter spaces to discover optimal experimental conditions and regions of…

Computational Physics · Physics 2021-08-31 Maxim Ziatdinov , Ayana Ghosh , Sergei V. Kalinin

Gaussian processes (GPs) serve as flexible surrogates for complex surfaces, but buckle under the cubic cost of matrix decompositions with big training data sizes. Geospatial and machine learning communities suggest pseudo-inputs, or…

Methodology · Statistics 2021-02-05 D. Austin Cole , Ryan Christianson , Robert B. Gramacy

A new algorithm is developed to tackle the issue of sampling non-Gaussian model parameter posterior probability distributions that arise from solutions to Bayesian inverse problems. The algorithm aims to mitigate some of the hurdles faced…

Machine Learning · Statistics 2019-11-19 Leen Alawieh , Jonathan Goodman , John B. Bell

We deal with the efficient parallelization of Bayesian global optimization algorithms, and more specifically of those based on the expected improvement criterion and its variants. A closed form formula relying on multivariate Gaussian…

Machine Learning · Statistics 2016-09-12 Sébastien Marmin , Clément Chevalier , David Ginsbourger

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…

Artificial Intelligence · Computer Science 2017-01-24 Ilija Ilievski , Taimoor Akhtar , Jiashi Feng , Christine Annette Shoemaker

This paper integrates manifold learning techniques within a \emph{Gaussian process upper confidence bound} algorithm to optimize an objective function on a manifold. Our approach is motivated by applications where a full representation of…

Machine Learning · Statistics 2023-11-10 Hwanwoo Kim , Daniel Sanz-Alonso , Ruiyi Yang

We developed a parallel Bayesian optimization algorithm for large eddy simulations. These simulations challenge optimization methods because they take hours or days to compute, and their objective function contains noise as turbulent…

Fluid Dynamics · Physics 2014-11-04 Chaitanya Talnikar , Patrick Blonigan , Julien Bodart , Qiqi Wang

This Paper conducts a thorough simulation study to assess the effectiveness of various acceleration techniques designed to enhance the conjugate gradient algorithm, which is used for solving large linear systems to accelerate Bayesian…

Computation · Statistics 2025-05-06 Zhihao Zhou

A body of work has been done to automate machine learning algorithm to highlight the importance of model choice. Automating the process of choosing the best forecasting model and its corresponding parameters can result to improve a wide…

Machine Learning · Computer Science 2021-09-02 Nadhir Hassen , Irina Rish

Global optimization of expensive functions has important applications in physical and computer experiments. It is a challenging problem to develop efficient optimization scheme, because each function evaluation can be costly and the…

Machine Learning · Statistics 2020-01-22 Ray-Bing Chen , Yuan Wang , C. F. Jeff Wu

Bayesian Optimization has become the reference method for the global optimization of black box, expensive and possibly noisy functions. Bayesian Op-timization learns a probabilistic model about the objective function, usually a Gaussian…

Machine Learning · Statistics 2020-03-10 Antonio Candelieri , Ilaria Giordani , Riccardo Perego , Francesco Archetti

Recent implementations of local approximate Gaussian process models have pushed computational boundaries for non-linear, non-parametric prediction problems, particularly when deployed as emulators for computer experiments. Their flavor of…

Computation · Statistics 2015-01-06 Robert B. Gramacy , Benjamin Haaland

Ensuring safety in industrial control systems usually involves imposing constraints at the design stage of the control algorithm. Enforcing constraints is challenging if the underlying functional form is unknown. The challenge can be…

Optimization and Control · Mathematics 2023-06-09 Marta Zagorowska , Efe C. Balta , Varsha Behrunani , Alisa Rupenyan , John Lygeros
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