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相关论文: Black-Box Optimization in Machine Learning with Tr…

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In this work, we introduce a novel stochastic second-order method, within the framework of a non-monotone trust-region approach, for solving the unconstrained, nonlinear, and non-convex optimization problems arising in the training of deep…

最优化与控制 · 数学 2024-01-18 Natasa Krejic , Natasa Krklec Jerinkic , Angeles Martinez , Mahsa Yousefi

We consider model-based derivative-free optimization (DFO) for large-scale problems, based on iterative minimization in random subspaces. We provide the first worst-case complexity bound for such methods for convergence to approximate…

最优化与控制 · 数学 2024-12-20 Coralia Cartis , Lindon Roberts

Derivative-free optimization algorithms are particularly useful for tackling blackbox optimization problems where the objective function arises from complex and expensive procedures that preclude the use of classical gradient-based methods.…

最优化与控制 · 数学 2026-03-31 El Houcine Bergou , Youssef Diouane , Vyacheslav Kungurtsev , Clément W. Royer

This paper introduces a model-free real-time optimization (RTO) framework based on unconstrained Bayesian optimization with embedded constraint control. The main contribution lies in demonstrating how this approach simplifies the black-box…

最优化与控制 · 数学 2024-02-29 Dinesh Krishnamoorthy

We propose UPOQA, a derivative-free optimization algorithm for partially separable unconstrained problems, leveraging quadratic interpolation and a structured trust-region framework. By decomposing the objective into element functions,…

最优化与控制 · 数学 2025-08-14 Yichuan Liu , Yingzhou Li

Bayesian optimization (BO) is a prominent approach to optimizing expensive-to-evaluate black-box functions. The massive computational capability of edge devices such as mobile phones, coupled with privacy concerns, has led to a surging…

机器学习 · 计算机科学 2020-10-23 Zhongxiang Dai , Kian Hsiang Low , Patrick Jaillet

In this paper, we propose systematic and efficient gradient-based methods for both one-way and two-way partial AUC (pAUC) maximization that are applicable to deep learning. We propose new formulations of pAUC surrogate objectives by using…

机器学习 · 计算机科学 2023-09-19 Dixian Zhu , Gang Li , Bokun Wang , Xiaodong Wu , Tianbao Yang

The field of derivative-free optimization (DFO) studies algorithms for nonlinear optimization that do not rely on the availability of gradient or Hessian information. It is primarily designed for settings when functions are black-box,…

最优化与控制 · 数学 2025-10-07 Lindon Roberts

A black-box optimization algorithm such as Bayesian optimization finds extremum of an unknown function by alternating inference of the underlying function and optimization of an acquisition function. In a high-dimensional space, such…

量子物理 · 物理学 2021-05-03 Syun Izawa , Koki Kitai , Shu Tanaka , Ryo Tamura , Koji Tsuda

Area under the ROC curve, a.k.a. AUC, is a measure of choice for assessing the performance of a classifier for imbalanced data. AUC maximization refers to a learning paradigm that learns a predictive model by directly maximizing its AUC…

机器学习 · 计算机科学 2022-08-04 Tianbao Yang , Yiming Ying

The Partial Area Under the ROC Curve (PAUC), typically including One-way Partial AUC (OPAUC) and Two-way Partial AUC (TPAUC), measures the average performance of a binary classifier within a specific false positive rate and/or true positive…

机器学习 · 计算机科学 2022-10-12 Huiyang Shao , Qianqian Xu , Zhiyong Yang , Shilong Bao , Qingming Huang

Derivative-free optimization has become an important technique used in machine learning for optimizing black-box models. To conduct updates without explicitly computing gradient, most current approaches iteratively sample a random search…

机器学习 · 统计学 2018-08-03 Liu Liu , Minhao Cheng , Cho-Jui Hsieh , Dacheng Tao

This paper studies the performative prediction problem where a learner aims to minimize the expected loss with a decision-dependent data distribution. Such setting is motivated when outcomes can be affected by the prediction model, e.g., in…

最优化与控制 · 数学 2024-05-24 Haitong Liu , Qiang Li , Hoi-To Wai

AUC (Area under the ROC curve) is an important performance measure for applications where the data is highly imbalanced. Learning to maximize AUC performance is thus an important research problem. Using a max-margin based surrogate loss…

人工智能 · 计算机科学 2016-12-28 Vishal Kakkar , Shirish K. Shevade , S Sundararajan , Dinesh Garg

We study the inference problem in the group testing to identify defective items from the perspective of the decision theory. We introduce Bayesian inference and consider the Bayesian optimal setting in which the true generative process of…

信息论 · 计算机科学 2021-10-22 Ayaka Sakata , Yoshiyuki Kabashima

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

In many optimization problems arising from scientific, engineering and artificial intelligence applications, objective and constraint functions are available only as the output of a black-box or simulation oracle that does not provide…

最优化与控制 · 数学 2019-08-15 Jeffrey Larson , Matt Menickelly , Stefan M. Wild

Gray-box optimization, where parts of optimization problems are represented by algebraic models while others are treated as black-box models lacking analytic derivatives, remains a challenge. Trust-region (TR) methods provide a robust…

最优化与控制 · 数学 2026-04-15 Gul Hameed , Tao Chen , Antonio del Rio Chanona , Lorenz T. Biegler , Michael Short

We address the problem of optimising the average payoff for a large number of cooperating agents, where the payoff function is unknown and treated as a black box. While standard Bayesian Optimisation (BO) methods struggle with the…

机器学习 · 计算机科学 2025-02-19 Petar Steinberg , Juliusz Ziomek , Matej Jusup , Ilija Bogunovic

This paper is devoted to the study (common in many applications) of the black-box optimization problem, where the black-box represents a gradient-free oracle $\tilde{f} = f(x) + \xi$ providing the objective function value with some…

最优化与控制 · 数学 2024-07-08 Aleksandr Lobanov