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Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

机器学习 · 计算机科学 2026-05-07 Jesse Schneider , William J. Welch

We study the problem of causal discovery through targeted interventions. Starting from few observational measurements, we follow a Bayesian active learning approach to perform those experiments which, in expectation with respect to the…

机器学习 · 统计学 2019-10-10 Julius von Kügelgen , Paul K Rubenstein , Bernhard Schölkopf , Adrian Weller

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…

机器学习 · 计算机科学 2025-06-11 Natalie Maus , Kyurae Kim , Geoff Pleiss , David Eriksson , John P. Cunningham , Jacob R. Gardner

Automated chemical synthesis, materials fabrication, and spectroscopic physical measurements often bring forth the challenge of process trajectory optimization, i.e., discovering the time dependence of temperature, electric field, or…

无序系统与神经网络 · 物理学 2022-06-28 Mani Valleti , Rama K. Vasudevan , Maxim A. Ziatdinov , Sergei V. Kalinin

The discovery of therapeutic molecules is fundamentally a multi-objective optimization problem. One formulation of the problem is to identify molecules that simultaneously exhibit strong binding affinity for a target protein, minimal…

定量方法 · 定量生物学 2023-10-17 Jenna C. Fromer , David E. Graff , Connor W. Coley

Gaussian Processes face two primary challenges: constructing models for large datasets and selecting the optimal model. This master's thesis tackles these challenges in the low-dimensional case. We examine recent convergence results to…

机器学习 · 统计学 2024-11-13 Marcel Neugebauer

We introduce a novel adaptive Gaussian Process Regression (GPR) methodology for efficient construction of surrogate models for Bayesian inverse problems with expensive forward model evaluations. An adaptive design strategy focuses on…

数值分析 · 数学 2024-05-01 Paolo Villani , Jörg Unger , Martin Weiser

Optimal design is a critical yet challenging task within many applications. This challenge arises from the need for extensive trial and error, often done through simulations or running field experiments. Fortunately, sequential optimal…

机器学习 · 计算机科学 2025-03-25 Xubo Yue , Raed Al Kontar , Albert S. Berahas , Yang Liu , Blake N. Johnson

We propose to use Bayesian optimization (BO) to improve the efficiency of the design selection process in clinical trials. BO is a method to optimize expensive black-box functions, by using a regression as a surrogate to guide the search.…

统计方法学 · 统计学 2021-05-20 Jakob Richter , Tim Friede , Jörg Rahnenführer

In this work, we propose a novel method to tackle the problem of multiobjective optimization under parameteric uncertainties, by considering the Conditional Pareto Sets and Conditional Pareto Fronts. Based on those quantities we can define…

最优化与控制 · 数学 2026-01-15 Victor Trappler , Céline Helbert , Rodolphe Le Riche

Additive nonparametric regression models provide an attractive tool for variable selection in high dimensions when the relationship between the response and predictors is complex. They offer greater flexibility compared to parametric…

机器学习 · 统计学 2016-07-12 Garret Vo , Debdeep Pati

The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

机器学习 · 统计学 2012-12-04 Xun Huan , Youssef M. Marzouk

Achieving both high quality and cost-efficiency are two critical yet often conflicting objectives in manufacturing and maintenance processes. Quality standards vary depending on the specific application, while cost-effectiveness remains a…

最优化与控制 · 数学 2025-07-30 Wolfgang Rannetbauer , Simon Hubmer , Carina Hambrock , Ronny Ramlau

Machine-designed control of complex devices or experiments can discover strategies superior to those developed via simplified models. We describe an online optimization algorithm based on Gaussian processes and apply it to optimization of…

While Retrieval Augmented Generation (RAG) has emerged as a popular technique for improving Large Language Model (LLM) systems, it introduces a large number of choices, parameters and hyperparameters that must be made or tuned. This…

机器学习 · 计算机科学 2025-05-09 Matthew Barker , Andrew Bell , Evan Thomas , James Carr , Thomas Andrews , Umang Bhatt

Autonomous methods to align beamlines can decrease the amount of time spent on diagnostics, and also uncover better global optima leading to better beam quality. The alignment of these beamlines is a high-dimensional, expensive-to-sample…

Manufacturing advanced materials and products with a specific property or combination of properties is often warranted. To achieve that it is crucial to find out the optimum recipe or processing conditions that can generate the ideal…

机器学习 · 计算机科学 2023-04-20 Hamed Khosravi , Taofeeq Olajire , Ahmed Shoyeb Raihan , Imtiaz Ahmed

We present an adaptive approach to the construction of Gaussian process surrogates for Bayesian inference with expensive-to-evaluate forward models. Our method relies on the fully Bayesian approach to training Gaussian process models and…

机器学习 · 统计学 2018-10-01 Timur Takhtaganov , Juliane Müller

Bayesian optimization works effectively optimizing parameters in black-box problems. However, this method did not work for high-dimensional parameters in limited trials. Parameters can be efficiently explored by nonlinearly embedding them…

机器学习 · 计算机科学 2022-06-14 Shoki Miyagawa , Atsuyoshi Yano , Naoko Sawada , Isamu Ogawa

Machine learning applications in materials science are often hampered by shortage of experimental data. Integration with legacy data from past experiments is a viable way to solve the problem, but complex calibration is often necessary to…

材料科学 · 物理学 2020-06-16 Xiaolin Sun , Zhufeng Hou , Masato Sumita , Shinsuke Ishihara , Ryo Tamura , Koji Tsuda