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Bayesian optimization (BO) efficiently finds high-performing parameters by maximizing an acquisition function, which models the promise of parameters. A major computational bottleneck arises in acquisition function optimization, where…

机器学习 · 计算机科学 2025-12-10 Kaichi Irie , Shuhei Watanabe , Masaki Onishi

Analog circuit design can be considered as an optimization problem with the targeted circuit specifications as constraints. When stringent circuit specifications are considered, it is desired to have an optimization methodology that adapts…

神经与进化计算 · 计算机科学 2024-12-24 Ria Rashid , Abhishek Gupta

Variational autoencoder (VAE) is a very successful generative model whose key element is the so called amortized inference network, which can perform test time inference using a single feed forward pass. Unfortunately, this comes at the…

机器学习 · 计算机科学 2021-02-08 Minyoung Kim , Vladimir Pavlovic

Bayesian Optimization (BO) is an effective framework for globally optimizing functions whose evaluations are expensive. It is particularly effective for optimizing functions defined over continuous domains and explicitly handles stochastic…

计算工程、金融与科学 · 计算机科学 2026-05-21 Buqing Ou , Frederike Dümbgen

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

Bayesian optimization usually assumes that a Bayesian prior is given. However, the strong theoretical guarantees in Bayesian optimization are often regrettably compromised in practice because of unknown parameters in the prior. In this…

机器学习 · 计算机科学 2018-11-26 Zi Wang , Beomjoon Kim , Leslie Pack Kaelbling

In many real-world applications, we are interested in approximating black-box, costly functions as accurately as possible with the smallest number of function evaluations. A complex computer code is an example of such a function. In this…

统计计算 · 统计学 2022-03-22 Hossein Mohammadi , Peter Challenor , Daniel Williamson , Marc Goodfellow

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

机器学习 · 计算机科学 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

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

Bayesian optimization has demonstrated impressive success in finding the optimum input x* and output f* = f(x*) = max f(x) of a black-box function f. In some applications, however, the optimum output f* is known in advance and the goal is…

机器学习 · 统计学 2020-08-18 Vu Nguyen , Michael A. Osborne

In discrete-variable black-box optimization, the number of candidate solutions grows combinatorially, while each evaluation is often expensive. Therefore, it is important to identify promising solutions efficiently within a limited number…

量子物理 · 物理学 2026-05-12 Reo Shikanai , Masayuki Ohzeki

Transferring knowledge across tasks to improve data-efficiency is one of the open key challenges in the field of global black-box optimization. Readily available algorithms are typically designed to be universal optimizers and, therefore,…

A well-balanced exploration-exploitation trade-off is crucial for successful acquisition functions in Bayesian optimization. However, there is a lack of quantitative measures for exploration, making it difficult to analyze and compare…

机器学习 · 计算机科学 2026-05-15 Leonard Papenmeier , Nuojin Cheng , Stephen Becker , Luigi Nardi

We are often interested in identifying the feasible subset of a decision space under multiple constraints to permit effective design exploration. If determining feasibility required computationally expensive simulations, the cost of…

机器学习 · 计算机科学 2020-06-25 Alma Rahat , Michael Wood

We propose an efficient transfer Bayesian optimization method, which finds the maximum of an expensive-to-evaluate black-box function by using data on related optimization tasks. Our method uses auxiliary information that represents the…

机器学习 · 统计学 2019-09-18 Tomoharu Iwata , Takuma Otsuka

Gaussian process (GP) based Bayesian optimization (BO) is a powerful method for optimizing black-box functions efficiently. The practical performance and theoretical guarantees of this approach depend on having the correct GP hyperparameter…

机器学习 · 统计学 2024-06-07 Huong Ha , Vu Nguyen , Hung Tran-The , Hongyu Zhang , Xiuzhen Zhang , Anton van den Hengel

Bayesian optimization (BO) is a popular method to optimize expensive black-box functions. It efficiently tunes machine learning algorithms under the implicit assumption that hyperparameter evaluations cost approximately the same. In…

机器学习 · 计算机科学 2020-11-25 Gauthier Guinet , Valerio Perrone , Cédric Archambeau

This paper implements the Deep Deterministic Policy Gradient (DDPG) algorithm for computing optimal policies for partially observable single-product periodic review inventory control problems with setup costs and backorders. The decision…

最优化与控制 · 数学 2025-07-29 Eugene Feinberg , Jefferson Huang , Pavlo Kasyanov , Thomas O'Neill

Bayesian optimization is a powerful optimization tool for problems where native first-order derivatives are unavailable. Recently, constrained Bayesian optimization (CBO) has been applied to many engineering applications where constraints…

最优化与控制 · 数学 2024-03-21 J. Wang , C. G. Petra , J. L. Peterson

In the paper, we develop an ensemble-based implicit sampling method for Bayesian inverse problems. For Bayesian inference, the iterative ensemble smoother (IES) and implicit sampling are integrated to obtain importance ensemble samples,…

数值分析 · 数学 2018-12-04 Yuming Ba , Lijian Jiang