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Dynamic pricing is the practice of adjusting the selling price of a product to maximize a firm's revenue by responding to market demand. The literature typically distinguishes between two settings: infinite inventory, where the firm has…

机器学习 · 计算机科学 2025-10-15 Anush Anand , Pranav Agrawal , Tejas Bodas

Gaussian Process based Bayesian Optimization is a widely applied algorithm to learn and optimize under uncertainty, well-known for its sample efficiency. However, recently -- and more frequently -- research studies have empirically…

机器学习 · 统计学 2025-05-20 Antonio Candelieri , Andrea Ponti , Francesco Archetti

First Order Bayesian Optimization (FOBO) is a sample efficient sequential approach to find the global maxima of an expensive-to-evaluate black-box objective function by suitably querying for the function and its gradient evaluations. Such…

机器学习 · 计算机科学 2023-06-21 Utkarsh Prakash , Aryan Chollera , Kushagra Khatwani , Prabuchandran K. J. , Tejas Bodas

Bayesian inference often faces a trade-off between computational speed and sampling accuracy. We propose an adaptive workflow that integrates rapid amortized inference with gold-standard MCMC techniques to achieve a favorable combination of…

机器学习 · 计算机科学 2026-02-19 Chengkun Li , Aki Vehtari , Paul-Christian Bürkner , Stefan T. Radev , Luigi Acerbi , Marvin Schmitt

We propose practical extensions to Bayesian optimization for solving dynamic problems. We model dynamic objective functions using spatiotemporal Gaussian process priors which capture all the instances of the functions over time. Our…

机器学习 · 统计学 2018-03-12 Favour M. Nyikosa , Michael A. Osborne , Stephen J. Roberts

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

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

Batched Bayesian optimization (BO) can accelerate molecular design by efficiently identifying top-performing compounds from a large chemical library. Existing acquisition strategies for batch design in BO aim to balance exploration and…

High-dimensional Bayesian optimization (BO) tasks such as molecular design often require 10,000 function evaluations before obtaining meaningful results. While methods like sparse variational Gaussian processes (SVGPs) reduce computational…

机器学习 · 计算机科学 2025-06-11 Natalie Maus , Kyurae Kim , Geoff Pleiss , David Eriksson , John P. Cunningham , Jacob R. Gardner

Gaussian Process (GP) models have also become extremely useful for optimization under uncertainty algorithms, especially where the objective functions are costly to compute. Yet, the more classical methods usually adopt strategies that, in…

最优化与控制 · 数学 2025-07-22 Nishant Gadde

BayesianOptimization(BO) is a sample-efficient black-box optimizer, and extensive methods have been proposed to build the absolute function response of the black-box function through a probabilistic surrogate model, including…

机器学习 · 计算机科学 2024-02-07 Xiaoxing Wang , Jiaxing Li , Chao Xue , Wei Liu , Weifeng Liu , Xiaokang Yang , Junchi Yan , Dacheng Tao

Bayesian optimization is a class of global optimization techniques. In Bayesian optimization, the underlying objective function is modeled as a realization of a Gaussian process. Although the Gaussian process assumption implies a random…

统计理论 · 数学 2023-05-08 Rui Tuo , Wenjia Wang

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 provides an effective method to optimize expensive-to-evaluate black box functions. It has been widely applied to problems in many fields, including notably in computer science, e.g. in machine learning to optimize…

机器学习 · 计算机科学 2025-11-18 Mike Diessner , Joseph O'Connor , Andrew Wynn , Sylvain Laizet , Yu Guan , Kevin Wilson , Richard D. Whalley

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

This paper proposes a new class of real-time optimization schemes to overcome system-model mismatch of uncertain processes. This work's novelty lies in integrating derivative-free optimization schemes and multi-fidelity Gaussian processes…

机器学习 · 计算机科学 2021-11-11 Panagiotis Petsagkourakis , Benoit Chachuat , Ehecatl Antonio del Rio-Chanona

Bayesian optimization is an effective methodology for the global optimization of functions with expensive evaluations. It relies on querying a distribution over functions defined by a relatively cheap surrogate model. An accurate model for…

Bayesian optimization has emerged as a prominent methodology for optimizing expensive black-box functions by leveraging Gaussian process surrogates, which focus on capturing the global characteristics of the objective function. However, in…

机器学习 · 计算机科学 2026-03-03 Qiyu Wei , Haowei Wang , Richard Allmendinger , Mauricio A. Álvarez

Bayesian optimization (BO) methods are useful for optimizing functions that are expensive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the…

机器学习 · 统计学 2020-02-04 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

The problem of sequentially maximizing the expectation of a function seeks to maximize the expected value of a function of interest without having direct control on its features. Instead, the distribution of such features depends on a given…

机器学习 · 统计学 2022-10-26 Diego Martinez-Taboada , Dino Sejdinovic