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Bayesian optimization (BO) is a powerful approach for seeking the global optimum of expensive black-box functions and has proven successful for fine tuning hyper-parameters of machine learning models. However, BO is practically limited to…

Machine Learning · Statistics 2020-09-28 Riccardo Moriconi , Marc P. Deisenroth , K. S. Sesh Kumar

The present paper proposes a novel Bayesian, computational strategy in the context of model-based inverse problems in elastostatics. On one hand we attempt to provide probabilistic estimates of the material properties and their spatial…

Computation · Statistics 2015-12-21 P. S. Koutsourelakis

Discovering novel materials with desired properties is essential for driving innovation. Industry 4.0 and smart manufacturing have promised transformative advances in this area through real-time data integration and automated production…

Machine Learning · Computer Science 2025-04-08 Avijit Saha Asru , Hamed Khosravi , Imtiaz Ahmed , Abdullahil Azeem

In this paper, we employ Bayesian optimization to concurrently explore the optimal values for both the shape parameter and the radius in the partition of unity interpolation using radial basis functions. Bayesian optimization is a…

Numerical Analysis · Mathematics 2023-11-09 Roberto Cavoretto , Alessandra De Rossi , Sandro Lancellotti , Federico Romaniello

Model-based sequential approaches to discrete "black-box" optimization, including Bayesian optimization techniques, often access the same points multiple times for a given objective function in interest, resulting in many steps to find the…

Machine Learning · Computer Science 2023-12-29 Keisuke Morita , Yoshihiko Nishikawa , Masayuki Ohzeki

Accelerated discovery in materials science demands autonomous systems capable of dynamically formulating and solving design problems. In this work, we introduce a novel framework that leverages Bayesian optimization over a problem…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Danial Khatamsaz , Joseph Wagner , Brent Vela , Raymundo Arroyave , Douglas L. Allaire

Aberration-corrected Scanning Transmission Electron Microscopy (STEM) has become an essential tool in understanding materials at the atomic scale. However, tuning the aberration corrector to produce a sub-{\AA}ngstr\"om probe is a complex…

Many optimization problems in robotics involve the optimization of time-expensive black-box functions, such as those involving complex simulations or evaluation of real-world experiments. Furthermore, these functions are often stochastic as…

Bayesian optimization is a popular and versatile approach that is well suited to solve challenging optimization problems. Their popularity comes from their effective minimization of expensive function evaluations, their capability to…

Optimization and Control · Mathematics 2026-05-14 André L. Marchildon , David W. Zingg

Large-area deposition of Aluminium-Scandium-Nitride (Al1-xScxN) thin films with higher Sc content (x) remains challenging due to issues such as abnormal orientation growth, stress control, and the undesired crystal phase. These anomalies…

Identifying parameters of computational models from experimental data, or model calibration, is fundamental for assessing and improving the predictability and reliability of computer simulations. In this work, we propose a method for…

Computational Physics · Physics 2023-08-07 Lianghao Cao , Keyi Wu , J. Tinsley Oden , Peng Chen , Omar Ghattas

We propose an algorithm for a family of optimization problems where the objective can be decomposed as a sum of functions with monotonicity properties. The motivating problem is optimization of hyperparameters of machine learning…

Machine Learning · Computer Science 2018-02-20 Wenyi Wang , William J. Welch

We evaluate the robustness of a probabilistic formulation of system identification (ID) to sparse, noisy, and indirect data. Specifically, we compare estimators of future system behavior derived from the Bayesian posterior of a learning…

Machine Learning · Statistics 2023-01-02 Nicholas Galioto , Alex Gorodetsky

Bayesian Optimization is the state of the art technique for the optimization of black boxes, i.e., functions where we do not have access to their analytical expression nor its gradients, they are expensive to evaluate and its evaluation is…

Artificial Intelligence · Computer Science 2021-01-13 Eduardo C. Garrido Merchán , Luis C. Jariego Pérez

Bayesian optimization is a methodology for global optimization of unknown and expensive objectives. It combines a surrogate Bayesian regression model with an acquisition function to decide where to evaluate the objective. Typical regression…

Machine Learning · Computer Science 2023-04-04 Afonso Eduardo , Michael U. Gutmann

In many instances, the application of approximate Bayesian methods is hampered by two practical features: 1) the requirement to project the data down to low-dimensional summary, including the choice of this projection, which ultimately…

Methodology · Statistics 2020-06-26 David T. Frazier

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

The optimization of atomic structures plays a pivotal role in understanding and designing materials with desired properties. However, conventional computational methods often struggle with the formidable task of navigating the vast…

Materials Science · Physics 2024-11-19 Peder Lyngby , Casper Larsen , Karsten Wedel Jacobsen

Residual stress and plastic strain in additive manufactured materials can exhibit significant microscopic variation at the powder scale, profoundly influencing the overall properties of printed components. This variation depends on…

Materials Science · Physics 2024-06-19 Yangyiwei Yang , Somnath Bharech , Nick Finger , Xiandong Zhou , Joerg Schroeder , Bai-Xiang Xu

Bayesian optimization is a powerful optimization tool for problems where native first-order derivatives are unavailable. Recently, constrained Bayesian optimization (CBO) has been applied to many engineering applications where constraints…

Optimization and Control · Mathematics 2024-03-21 J. Wang , C. G. Petra , J. L. Peterson