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There has been a surge in interest in data-driven experimental design with applications to chemical engineering and drug manufacturing. Bayesian optimization (BO) has proven to be adaptable to such cases, since we can model the reactions of…

Optimization of high-dimensional black-box functions is an extremely challenging problem. While Bayesian optimization has emerged as a popular approach for optimizing black-box functions, its applicability has been limited to…

机器学习 · 统计学 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli

Missing time-series data is a prevalent practical problem. Imputation methods in time-series data often are applied to the full panel data with the purpose of training a model for a downstream out-of-sample task. For example, in finance,…

机器学习 · 统计学 2023-04-13 Jose Blanchet , Fernando Hernandez , Viet Anh Nguyen , Markus Pelger , Xuhui Zhang

Bayesian optimization (BO) is a powerful black-box optimization framework that looks to efficiently learn the global optimum of an unknown system by systematically trading-off between exploration and exploitation. However, the use of BO as…

最优化与控制 · 数学 2023-03-28 Dinesh Krishnamoorthy , Joel A. Paulson

Bayesian Optimization is the state of the art technique for the optimization of black boxes, i.e., functions where we do not have access to their analytical expression nor its gradients, they are expensive to evaluate and its evaluation is…

人工智能 · 计算机科学 2021-01-13 Eduardo C. Garrido Merchán , Luis C. Jariego Pérez

In this paper, we develop an interior-point method for solving a class of convex optimization problems with time-varying objective and constraint functions. Using log-barrier penalty functions, we propose a continuous-time dynamical system…

最优化与控制 · 数学 2016-08-29 Mahyar Fazlyab , Santiago Paternain , Victor M. Preciado , Alejandro Ribeiro

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payoff rate that is a function of a stochastic economic…

最优化与控制 · 数学 2018-06-05 Mihail Zervos , Carlos Oliveira , Kate Duckworth

Stochastic optimization often involves calculating the expected value of a first-order max or min function, known as a first-order loss function. In this context, loss functions are frequently approximated using piecewise linear functions.…

最优化与控制 · 数学 2023-09-26 Yotaro Takazawa

We address an optimal stopping problem over the set of Bermudan-type strategies $\Theta$ (which we understand in a more general sense than the stopping strategies for Bermudan options in finance) and with non-linear operators (non-linear…

最优化与控制 · 数学 2023-01-27 Miryana Grigorova , Marie-Claire Quenez , Peng Yuan

In blackbox optimization, evaluation of the objective and constraint functions is time consuming. In some situations, constraint values may be evaluated independently or sequentially. The present work proposes and compares two strategies to…

最优化与控制 · 数学 2021-11-30 Stéphane Alarie , Charles Audet , Paulin Jacquot , Sébastien Le Digabel

Causal knowledge can be used to support decision-making problems. This has been recognized in the causal bandits literature, where a causal (multi-armed) bandit is characterized by a causal graphical model and a target variable. The arms…

机器学习 · 计算机科学 2025-10-14 Francisco N. F. Q. Simoes , Itai Feigenbaum , Mehdi Dastani , Thijs van Ommen

Stochastic resetting is a driving mechanism that is known to minimize the first passage time to reach a target, at the cost of energy expenditure. The choice of the physical implementation of each resetting event determines the tradeoff…

统计力学 · 物理学 2025-07-29 Rémi Goerlich , Kristian Stølevik Olsen , Hartmut Löwen , Yael Roichman

Simultaneous optimization of multiple objective functions results in a set of trade-off, or Pareto, solutions. Choosing a, in some sense, best solution in this set is in general a challenging task: In the case of three or more objectives…

最优化与控制 · 数学 2023-02-01 C. Yalçın Kaya , Helmut Maurer

We study the optimal stopping of an American call option in a random time-horizon under exponential spectrally negative L\'evy models. The random time-horizon is modeled as the so-called Omega default clock in insurance, which is the first…

数理金融 · 定量金融 2018-08-10 Neofytos Rodosthenous , Hongzhong Zhang

Bayesian Optimization (BO) is an efficient tool for optimizing black-box functions, but its theoretical guarantees typically hold in the asymptotic regime. In many critical real-world applications such as drug discovery or materials design,…

机器学习 · 计算机科学 2025-11-04 Diantong Li , Kyunghyun Cho , Chong Liu

Bayesian optimization is an effective method for solving expensive black-box optimization problems. Most existing methods use Gaussian processes (GP) as the surrogate model for approximating the black-box objective function, it is…

机器学习 · 计算机科学 2025-12-23 Wei Peng , Jianchen Hu , Kang Liu , Qiaozhu Zhai

We study the problem of learning the causal relationships between a set of observed variables in the presence of latents, while minimizing the cost of interventions on the observed variables. We assume access to an undirected graph $G$ on…

数据结构与算法 · 计算机科学 2020-12-29 Raghavendra Addanki , Andrew McGregor , Cameron Musco

The selection of the most appropriate algorithm to solve a given problem instance, known as algorithm selection, is driven by the potential to capitalize on the complementary performance of different algorithms across sets of problem…

机器学习 · 计算机科学 2024-06-12 Gjorgjina Cenikj , Ana Nikolikj , Gašper Petelin , Niki van Stein , Carola Doerr , Tome Eftimov

In Bayesian optimisation, we often seek to minimise the black-box objective functions that arise in real-world physical systems. A primary contributor to the cost of evaluating such black-box objective functions is often the effort required…

机器学习 · 计算机科学 2024-07-04 Adam X. Yang , Laurence Aitchison , Henry B. Moss

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

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