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Bayesian Optimization (BO) is an effective method for optimizing expensive-to-evaluate black-box functions with a wide range of applications for example in robotics, system design and parameter optimization. However, scaling BO to problems…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Lukas P. Fröhlich , Edgar D. Klenske , Christian G. Daniel , Melanie N. Zeilinger

Computer experiments can emulate the physical systems, help computational investigations, and yield analytic solutions. They have been widely employed with many engineering applications (e.g., aerospace, automotive, energy systems.…

Methodology · Statistics 2022-08-23 Yan Wang , Meng Wang , Areej AlBahar , Xiaowei Yue

Bayesian Optimization (BO) machine learning method is increasingly used to guide experimental optimization tasks in materials science. To emulate the large number of input variables and noise-containing results in experimental materials…

Applying Bayesian optimization in problems wherein the search space is unknown is challenging. To address this problem, we propose a systematic volume expansion strategy for the Bayesian optimization. We devise a strategy to guarantee that…

Machine Learning · Statistics 2019-10-30 Huong Ha , Santu Rana , Sunil Gupta , Thanh Nguyen , Hung Tran-The , Svetha Venkatesh

The recent measurement of the lifetime of the free neutron using the beam method has an 8.7 s (4$\sigma$) discrepancy with UCN measurements. The goal of the BL3 experiment is to improve the statistical error of this measurement and help…

Instrumentation and Detectors · Physics 2020-10-23 A. W. Nelsen , E. G. Ballantyne , R. E. Calvert , C. B. Crawford , G. L. Greene , S. E. Vickers , F. E. Wietfeldt

Bayesian optimization (BO) is one of the most effective methods for closed-loop experimental design and black-box optimization. However, a key limitation of BO is that it is an inherently sequential algorithm (one experiment is proposed per…

Machine Learning · Statistics 2023-11-21 Leonardo D. González , Victor M. Zavala

This paper develops a Bayesian optimal experimental design for robot kinematic calibration on ${\mathbb{S}^3 \!\times\! \mathbb{R}^3}$. Our method builds upon a Gaussian process approach that incorporates a geometry-aware kernel based on…

Robotics · Computer Science 2025-03-06 Ersin Das , Thomas Touma , Joel W. Burdick

Line search is a fundamental part of iterative optimization methods for unconstrained and bound-constrained optimization problems to determine suitable step lengths that provide sufficient improvement in each iteration. Traditional line…

Optimization and Control · Mathematics 2025-07-22 Robin Labryga , Tomislav Prusina , Sören Laue

In many high-throughput experimental design settings, such as those common in biochemical engineering, batched queries are more cost effective than one-by-one sequential queries. Furthermore, it is often not possible to directly choose…

Machine Learning · Computer Science 2019-04-18 Kevin K. Yang , Yuxin Chen , Alycia Lee , Yisong Yue

Kinetic small-angle neutron scattering provides access to the microscopic properties of mesoscale systems under slow, periodic perturbations. By interlocking the phases of neutron pulse, sample modulation, and detector signal, so-called…

Instrumentation and Detectors · Physics 2022-12-15 Denis Mettus , Alfonso Chacon , Andreas Bauer , Sebastian Mühlbauer , Christian Pfleiderer

Sampling multiple responses is a common way to improve LLM output quality, but it comes at the cost of additional computation. The key challenge is deciding when to stop generating new samples to balance accuracy gains against efficiency.…

Machine Learning · Computer Science 2025-10-21 Guangya Wan , Zixin Stephen Xu , Sasa Zorc , Manel Baucells , Mengxuan Hu , Hao Wang , Sheng Li

We introduce a Bayesian optimization approach to guide the sputter deposition of molybdenum thin films, aiming to achieve desired residual stress and sheet resistance while minimizing susceptibility to stochastic fluctuations during…

Materials Science · Physics 2024-05-07 Ankit Shrivastava , Matias Kalaswad , Joyce O. Custer , David P. Adams , Habib N. Najm

The design of multiple experiments is commonly undertaken via suboptimal strategies, such as batch (open-loop) design that omits feedback or greedy (myopic) design that does not account for future effects. This paper introduces new…

Methodology · Statistics 2016-04-29 Xun Huan , Youssef M. Marzouk

While Bayesian neural networks (BNNs) have drawn increasing attention, their posterior inference remains challenging, due to the high-dimensional and over-parameterized nature. To address this issue, several highly flexible and scalable…

Machine Learning · Statistics 2019-05-10 Ziyu Wang , Tongzheng Ren , Jun Zhu , Bo Zhang

Inferring the causal structure of a system typically requires interventional data, rather than just observational data. Since interventional experiments can be costly, it is preferable to select interventions that yield the maximum amount…

Methodology · Statistics 2021-03-30 Michele Zemplenyi , Jeffrey W. Miller

The identification of prospective scenarios for observing quantum vacuum signals in high-intensity laser experiments requires both accurate theoretical predictions and the exploration of high-dimensional parameter spaces. Numerical…

High Energy Physics - Phenomenology · Physics 2025-01-14 Maksim Valialshchikov , Felix Karbstein , Daniel Seipt , Matt Zepf

Boosting methods are widely used in statistical learning to deal with high-dimensional data due to their variable selection feature. However, those methods lack straightforward ways to construct estimators for the precision of the…

Methodology · Statistics 2021-06-10 Boyao Zhang , Colin Griesbach , Cora Kim , Nadia Müller-Voggel , Elisabeth Bergherr

Optimal experimental design (OED) plays an important role in the problem of identifying uncertainty with limited experimental data. In many applications, we seek to minimize the uncertainty of a predicted quantity of interest (QoI) based on…

Optimization and Control · Mathematics 2022-01-06 Keyi Wu , Peng Chen , Omar Ghattas

In this paper, Bayesian optimisation is used to simultaneously search the optimal values of the shape parameter and the radius in radial basis function partition of unity interpolation problem. It is a probabilistic iterative approach that…

Numerical Analysis · Mathematics 2023-11-08 Roberto Cavoretto , Alessandra De Rossi , Sandro Lancellotti , Federico Romaniello

Tuning machine parameters of particle accelerators is a repetitive and time-consuming task that is challenging to automate. While many off-the-shelf optimization algorithms are available, in practice their use is limited because most…

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