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We consider a continuous-time linear-quadratic Gaussian control problem with partial observations and costly information acquisition. More precisely, we assume the drift of the state process to be governed by an unobservable…

最优化与控制 · 数学 2024-08-20 Christoph Knochenhauer , Alexander Merkel , Yufei Zhang

The kinematics of a gliding flat-plate with spanwise oscillation has been optimized to enhance the power efficiency by using Bayesian optimization method, in which the portfolio allocation framework consists of a Gaussian process…

流体动力学 · 物理学 2021-09-10 Chunyu Wang , Zhaoyue Xu , Xinlei Zhang , Shizhao Wang

We consider the active learning problem where the goal is to learn an unknown function with low prediction error under an unknown Boltzmann distribution induced by the function itself. This self-induced weighting arises naturally in…

机器学习 · 计算机科学 2026-05-12 Jixiang Qing , Henry Moss , Matthias Sachs

Estimating the free energy in molecular simulation requires, implicitly or explicitly, counting how many times the system is observed in a finite region. If the simulation is biased by an external potential, the weight of the configurations…

化学物理 · 物理学 2021-12-22 Matteo Carli , Alessandro Laio

We propose a novel Bayesian optimization (BO) procedure aimed at identifying the ``profile optima'' of a deterministic black-box computer simulation that has a single control parameter and multiple nuisance parameters. The profile optima…

统计方法学 · 统计学 2025-12-30 Courtney Kyger , James Fernandez , John A. Grunenwald , James Braun , Annie Booth

We propose an Anderson Acceleration (AA) scheme for the adaptive Expectation-Maximization (EM) algorithm for unsupervised learning a finite mixture model from multivariate data (Figueiredo and Jain 2002). The proposed algorithm is able to…

机器学习 · 计算机科学 2020-09-29 Truong Nguyen , Guangye Chen , Luis Chacon

We study the problem of preferential Bayesian optimization (BO), where we aim to optimize a black-box function with only preference feedback over a pair of candidate solutions. Inspired by the likelihood ratio idea, we construct a…

机器学习 · 计算机科学 2024-05-30 Wenjie Xu , Wenbin Wang , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Bayesian optimization (BO) is a widely-used method for optimizing expensive (to evaluate) problems. At the core of most BO methods is the modeling of the objective function using a Gaussian Process (GP) whose covariance is selected from a…

In this paper, we propose an active learning method for an inverse problem that aims to find an input that achieves a desired structured-output. The proposed method provides new acquisition functions for minimizing the error between the…

Science and Engineering applications are typically associated with expensive optimization problems to identify optimal design solutions and states of the system of interest. Bayesian optimization and active learning compute surrogate models…

机器学习 · 计算机科学 2024-07-09 Francesco Di Fiore , Michela Nardelli , Laura Mainini

Bayesian optimization with Gaussian processes has become an increasingly popular tool in the machine learning community. It is efficient and can be used when very little is known about the objective function, making it popular in expensive…

机器学习 · 计算机科学 2011-03-08 Eric Brochu , Matthew W. Hoffman , Nando de Freitas

Bayesian optimization is popular for optimizing time-consuming black-box objectives. Nonetheless, for hyperparameter tuning in deep neural networks, the time required to evaluate the validation error for even a few hyperparameter settings…

机器学习 · 计算机科学 2019-03-13 Jian Wu , Saul Toscano-Palmerin , Peter I. Frazier , Andrew Gordon Wilson

We consider amortized Bayesian inference for nonlinear inverse problems in settings where only samples from the joint distribution of parameters and observations are available. Classical methods such as Markov chain Monte Carlo require…

数值分析 · 数学 2026-05-19 Hojjat Kaveh , Ricardo Baptista , Andrew M. Stuart

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

机器学习 · 计算机科学 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

Scaling Bayesian optimisation (BO) to high-dimensional search spaces is a active and open research problems particularly when no assumptions are made on function structure. The main reason is that at each iteration, BO requires to find…

机器学习 · 统计学 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

Information theoretic active learning has been widely studied for probabilistic models. For simple regression an optimal myopic policy is easily tractable. However, for other tasks and with more complex models, such as classification with…

机器学习 · 统计学 2011-12-30 Neil Houlsby , Ferenc Huszár , Zoubin Ghahramani , Máté Lengyel

Contextual Bayesian optimization (CBO) is a powerful framework for sequential decision-making given side information, with important applications, e.g., in wind energy systems. In this setting, the learner receives context (e.g., weather…

机器学习 · 统计学 2022-10-18 Shyam Sundhar Ramesh , Pier Giuseppe Sessa , Andreas Krause , Ilija Bogunovic

We study adaptive combinatorial maximization, which is a core challenge in machine learning, with applications in active learning as well as many other domains. We study the Bayesian setting, and consider the objectives of maximization…

机器学习 · 计算机科学 2025-10-09 Shlomi Weitzman , Sivan Sabato

High-fidelity complex engineering simulations are highly predictive, but also computationally expensive and often require substantial computational efforts. The mitigation of computational burden is usually enabled through parallelism in…

机器学习 · 统计学 2021-02-08 Anh Tran , Mike Eldred , Tim Wildey , Scott McCann , Jing Sun , Robert J. Visintainer

Bayesian optimization (BO) is an effective approach to optimize expensive black-box functions, that seeks to trade-off between exploitation (selecting parameters where the maximum is likely) and exploration (selecting parameters where we…

机器学习 · 统计学 2021-10-19 Tristan Fauvel , Matthew Chalk