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Wind farm layout optimization (WFLO), which seeks to maximizing annual energy production by strategically adjusting wind turbines' location, is essential for the development of large-scale wind farms. While low-fidelity methods dominate…

最优化与控制 · 数学 2025-02-18 Zhen-fan Wang , Yu Tu , Kai Zhang , Dai Zhou , Onur Bilgen

We address the problem of estimating the inputs of a dynamical system from measurements of the system's outputs. To this end, we introduce a novel estimation algorithm that explicitly trades off bias and variance to optimally reduce the…

机器学习 · 计算机科学 2019-09-20 Sebastian Curi , Kfir Y. Levy , Andreas Krause

The Predict-Then-Optimize framework uses machine learning models to predict unknown parameters of an optimization problem from exogenous features before solving. This setting is common to many real-world decision processes, and recently it…

机器学习 · 计算机科学 2024-09-10 James Kotary , Vincenzo Di Vito , Jacob Cristopher , Pascal Van Hentenryck , Ferdinando Fioretto

Bayesian optimization has recently emerged as a popular and efficient tool for global optimization and hyperparameter tuning. Currently, the established Bayesian optimization practice requires a user-defined bounding box which is assumed to…

机器学习 · 统计学 2015-08-18 Bobak Shahriari , Alexandre Bouchard-Côté , Nando de Freitas

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

统计方法学 · 统计学 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

This paper introduces a framework for Bayesian Optimization (BO) with metric movement costs, addressing a critical challenge in practical applications where input alterations incur varying costs. Our approach is a convenient plug-in that…

统计方法学 · 统计学 2025-11-26 Qiyuan Chen , Raed Al Kontar

We propose and analyze an algorithmic framework for "bias bounties": events in which external participants are invited to propose improvements to a trained model, akin to bug bounty events in software and security. Our framework allows…

机器学习 · 计算机科学 2022-05-11 Ira Globus-Harris , Michael Kearns , Aaron Roth

Given the increasing importance of machine learning (ML) in our lives, several algorithmic fairness techniques have been proposed to mitigate biases in the outcomes of the ML models. However, most of these techniques are specialized to…

Bayesian optimisation presents a sample-efficient methodology for global optimisation. Within this framework, a crucial performance-determining subroutine is the maximisation of the acquisition function, a task complicated by the fact that…

We develop and analyze a method for stochastic simulation optimization based on Gaussian process models within a trust-region framework. We focus on settings where the variance of the objective function is large, making accurate estimation…

最优化与控制 · 数学 2026-03-10 Mickael Binois , Jeffrey Larson

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

统计方法学 · 统计学 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

The ultimate goal of optimization is to find the minimizer of a target function.However, typical criteria for active optimization often ignore the uncertainty about the minimizer. We propose a novel criterion for global optimization and an…

统计方法学 · 统计学 2012-02-13 Il Memming Park , Marcel Nassar , Mijung Park

Recent work on Bayesian optimization has shown its effectiveness in global optimization of difficult black-box objective functions. Many real-world optimization problems of interest also have constraints which are unknown a priori. In this…

机器学习 · 统计学 2014-03-25 Michael A. Gelbart , Jasper Snoek , Ryan P. Adams

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…

Adaptive behavior emerges through a dynamic interaction between cognitive agents and changing environmental demands. The investigation of information processing underlying adaptive behavior relies on controlled experimental settings in…

神经元与认知 · 定量生物学 2020-11-30 Marco D'Alessandro , Stefan T. Radev , Andreas Voss , Luigi Lombardi

We consider an adaptive finite element method with arbitrary but fixed polynomial degree $p \ge 1$, where adaptivity is driven by an edge-based residual error estimator. Based on the modified maximum criterion from [Diening et al, Found.…

数值分析 · 数学 2021-01-29 Michael Innerberger , Dirk Praetorius

Bayesian optimisation (BO) is a well-known efficient algorithm for finding the global optimum of expensive, black-box functions. The current practical BO algorithms have regret bounds ranging from $\mathcal{O}(\frac{logN}{\sqrt{N}})$ to…

机器学习 · 计算机科学 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

Population-based evolutionary algorithms have great potential to handle multiobjective optimisation problems. However, these algorithms depends largely on problem characteristics, and there is a need to improve their performance for a wider…

神经与进化计算 · 计算机科学 2019-10-17 Shouyong Jiang , Hongru Li , Jinglei Guo , Mingjun Zhong , Shengxiang Yang , Marcus Kaiser , Natalio Krasnogor

We propose a Bayesian optimization algorithm for objective functions that are sums or integrals of expensive-to-evaluate functions, allowing noisy evaluations. These objective functions arise in multi-task Bayesian optimization for tuning…

机器学习 · 计算机科学 2018-03-26 Saul Toscano-Palmerin , Peter I. Frazier

This paper presents an information-theoretic framework for unifying active learning problems: level set estimation (LSE), Bayesian optimization (BO), and their generalized variant. We first introduce a novel active learning criterion that…

机器学习 · 计算机科学 2020-12-22 Quoc Phong Nguyen , Bryan Kian Hsiang Low , Patrick Jaillet