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This paper investigates a new class of modifier-adaptation schemes to overcome plant-model mismatch in real-time optimization of uncertain processes. The main contribution lies in the integration of concepts from the areas of Bayesian…

This paper introduces a set of algorithms for Monte-Carlo Bayesian reinforcement learning. Firstly, Monte-Carlo estimation of upper bounds on the Bayes-optimal value function is employed to construct an optimistic policy. Secondly,…

机器学习 · 计算机科学 2016-11-18 Christos Dimitrakakis

Boson sampling is a promising candidate for quantum supremacy. It requires to sample from a complicated distribution, and is trusted to be intractable on classical computers. Among the various classical sampling methods, the Markov chain…

Finite element model updating is challenging because 1) the problem is oftentimes underdetermined while the measurements are limited and/or incomplete; 2) many combinations of parameters may yield responses that are similar with respect to…

应用统计 · 统计学 2021-07-28 Kai Zhou , Jiong Tang

Bayesian optimization is a powerful framework for optimizing functions that are expensive or time-consuming to evaluate. Recent work has considered Bayesian optimization of function networks (BOFN), where the objective function is given by…

The Bayesian paradigm offers principled tools for sequential decision-making under uncertainty, but its reliance on a probabilistic model for all parameters can hinder the incorporation of complex structural constraints. We introduce a…

机器学习 · 计算机科学 2025-10-09 Kaizheng Wang

Multi-objective Bayesian optimization has been widely adopted in scientific experiment design, including drug discovery and hyperparameter optimization. In practice, regulatory or safety concerns often impose additional thresholds on…

机器学习 · 计算机科学 2025-04-22 Diantong Li , Fengxue Zhang , Chong Liu , Yuxin Chen

Decision trees have found widespread application within the machine learning community due to their flexibility and interpretability. This paper is directed towards learning decision trees from data using a Bayesian approach, which is…

机器学习 · 计算机科学 2023-12-05 Jodie A. Cochrane , Adrian G. Wills , Sarah J. Johnson

The long runtime associated with simulating multidisciplinary systems challenges the use of Bayesian optimization for multidisciplinary design optimization (MDO). This is particularly the case if the coupled system is modeled in a…

计算工程、金融与科学 · 计算机科学 2024-08-19 Susanna Baars , Jigar Parekh , Ihar Antonau , Philipp Bekemeyer , Ulrich Römer

Bayesian optimization is a powerful collection of methods for optimizing stochastic expensive black box functions. One key component of a Bayesian optimization algorithm is the acquisition function that determines which solution should be…

机器学习 · 计算机科学 2022-10-03 Juan Ungredda , Michael Pearce , Juergen Branke

Selecting an optimal set of exemplars is critical for good performance of in-context learning. However, prior exemplar search methods narrowly optimize for predictive accuracy, critically neglecting model calibration--a key determinant of…

机器学习 · 计算机科学 2025-10-02 Gaoxiang Luo , Aryan Deshwal

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…

机器学习 · 计算机科学 2023-04-04 Afonso Eduardo , Michael U. Gutmann

Bayesian Optimisation (BO) methods seek to find global optima of objective functions which are only available as a black-box or are expensive to evaluate. Such methods construct a surrogate model for the objective function, quantifying the…

机器学习 · 统计学 2023-01-10 Enrico Crovini , Simon L. Cotter , Konstantinos Zygalakis , Andrew B. Duncan

Bayesian quadrature optimization (BQO) maximizes the expectation of an expensive black-box integrand taken over a known probability distribution. In this work, we study BQO under distributional uncertainty in which the underlying…

机器学习 · 计算机科学 2020-01-22 Thanh Tang Nguyen , Sunil Gupta , Huong Ha , Santu Rana , Svetha Venkatesh

This article addresses the problem of derivative-free (single- or multi-objective) optimization subject to multiple inequality constraints. Both the objective and constraint functions are assumed to be smooth, non-linear and expensive to…

统计计算 · 统计学 2017-07-28 Paul Feliot , Julien Bect , Emmanuel Vazquez

Bayesian optimization is a popular method for solving the problem of global optimization of an expensive-to-evaluate black-box function. It relies on a probabilistic surrogate model of the objective function, upon which an acquisition…

机器学习 · 统计学 2022-06-22 Jungtaek Kim , Seungjin Choi , Minsu Cho

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 optimization is proposed for automatic learning of optimal controller parameters from experimental data. A probabilistic description (a Gaussian process) is used to model the unknown function from controller parameters to a…

系统与控制 · 计算机科学 2019-01-24 Matthias Neumann-Brosig , Alonso Marco , Dieter Schwarzmann , Sebastian Trimpe

Recent advances in computationally efficient non-myopic Bayesian optimization (BO) improve query efficiency over traditional myopic methods like expected improvement while only modestly increasing computational cost. These advances have…

机器学习 · 统计学 2021-12-07 Yunxiang Zhang , Xiangyu Zhang , Peter I. Frazier

Bayesian optimization is a powerful tool for expensive stochastic black-box optimization problems such as simulation-based optimization or machine learning hyperparameter tuning. Many stochastic objective functions implicitly require a…

机器学习 · 统计学 2019-10-22 Michael Pearce , Matthias Poloczek , Juergen Branke