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The core challenge of high-dimensional and expensive black-box optimization (BBO) is how to obtain better performance faster with little function evaluation cost. The essence of the problem is how to design an efficient optimization…

机器学习 · 计算机科学 2023-07-26 Xiaobin Li , Kai Wu , Xiaoyu Zhang , Handing Wang , Jing Liu

A number of popular transfer learning methods rely on grid search to select regularization hyperparameters that control over-fitting. This grid search requirement has several key disadvantages: the search is computationally expensive,…

机器学习 · 计算机科学 2025-01-28 Ethan Harvey , Mikhail Petrov , Michael C. Hughes

A wide spectrum of design and decision problems, including parameter tuning, A/B testing and drug design, intrinsically are instances of black-box optimization. Bayesian optimization (BO) is a powerful tool that models and optimizes such…

机器学习 · 计算机科学 2023-02-14 Tianyi Bai , Yang Li , Yu Shen , Xinyi Zhang , Wentao Zhang , Bin Cui

Existing high-dimensional Bayesian optimization (BO) methods aim to overcome the curse of dimensionality by carefully encoding structural assumptions, from locality to sparsity to smoothness, into the optimization procedure. Surprisingly,…

机器学习 · 计算机科学 2026-04-10 Colin Doumont , Donney Fan , Natalie Maus , Jacob R. Gardner , Henry Moss , Geoff Pleiss

Optimization problems aim to find the optimal solution, which is becoming increasingly complex and difficult to solve. Traditional evolutionary optimization methods always overlook the granular characteristics of solution space. In the real…

机器学习 · 计算机科学 2025-02-19 Shuyin Xia , Xinyu Lin , Guan Wang , De-Gang Chen , Sen Zhao , Guoyin Wang , Jing Liang

In this paper, we focus on the nonconvex-nonconvex bilevel optimization problem (BLO), where both upper-level and lower-level objectives are nonconvex, with the upper-level problem potentially being nonsmooth. We develop a two-timescale…

最优化与控制 · 数学 2026-04-24 Nachuan Xiao , Xiaoyin Hu , Xin Liu , Kim-Chuan Toh

Bayesian optimization (BO) is an effective technique for black-box optimization. However, its applicability is typically limited to moderate-budget problems due to the cubic complexity of fitting the Gaussian process (GP) surrogate model.…

机器学习 · 统计学 2025-10-13 Qiyu Wei , Haowei Wang , Zirui Cao , Songhao Wang , Richard Allmendinger , Mauricio A Álvarez

We propose efficient methods for solving stochastic simple bilevel optimization problems with convex inner levels, where the goal is to minimize an outer stochastic objective function subject to the solution set of an inner stochastic…

最优化与控制 · 数学 2025-11-25 Khanh-Hung Giang-Tran , Soroosh Shafiee , Nam Ho-Nguyen

Evidential Deep Learning (EDL) has emerged as an efficient, sampling-free strategy for uncertainty estimation. A series of EDL variants have been proposed to address specific limitations of the original framework, achieving notable success.…

机器学习 · 计算机科学 2026-05-26 Yuanye Liu , Yibo Gao , Yuanyang Chen , Xiahai Zhuang

Offline black-box optimization (BBO) aims to find optimal designs based solely on an offline dataset of designs and their labels. Such scenarios frequently arise in domains like DNA sequence design and robotics, where only a few labeled…

计算工程、金融与科学 · 计算机科学 2026-01-22 Ye Yuan , Can , Chen , Zipeng Sun , Dinghuai Zhang , Christopher Pal , Xue Liu

In classical machine learning, regression is treated as a black box process of identifying a suitable function from a hypothesis set without attempting to gain insight into the mechanism connecting inputs and outputs. In the natural…

机器学习 · 计算机科学 2016-10-11 Georg Martius , Christoph H. Lampert

Black-box optimization (BBO) has a broad range of applications, including automatic machine learning, engineering, physics, and experimental design. However, it remains a challenge for users to apply BBO methods to their problems at hand…

Implicit neural representation, which expresses an image as a continuous function rather than a discrete grid form, is widely used for image processing. Despite its outperforming results, there are still remaining limitations on restoring…

计算机视觉与模式识别 · 计算机科学 2022-09-26 Wonjoon Chang , Dahee Kwon , Bumjin Park

Gradient-based Bi-Level Optimization (BLO) methods have been widely applied to handle modern learning tasks. However, most existing strategies are theoretically designed based on restrictive assumptions (e.g., convexity of the lower-level…

机器学习 · 计算机科学 2023-05-09 Risheng Liu , Xuan Liu , Shangzhi Zeng , Jin Zhang , Yixuan Zhang

A body of work has been done to automate machine learning algorithm to highlight the importance of model choice. Automating the process of choosing the best forecasting model and its corresponding parameters can result to improve a wide…

机器学习 · 计算机科学 2021-09-02 Nadhir Hassen , Irina Rish

In this paper, we focus on the nonconvex-strongly-convex bilevel optimization problem (BLO). In this BLO, the objective function of the upper-level problem is nonconvex and possibly nonsmooth, and the lower-level problem is smooth and…

最优化与控制 · 数学 2022-12-26 Xiaoyin Hu , Nachuan Xiao , Xin Liu , Kim-Chuan Toh

Gradient-free optimization methods, such as surrogate based optimization (SBO) methods, and genetic (GAs), or evolutionary (EAs) algorithms have gained popularity in the field of constrained optimization of expensive black-box functions.…

最优化与控制 · 数学 2021-07-22 Ahmed Abouhussein , Nusrat Islam , Yulia T. Peet

Automated algorithm performance prediction in numerical blackbox optimization often relies on problem characterizations, such as exploratory landscape analysis features. These features are typically used as inputs to machine learning models…

人工智能 · 计算机科学 2025-06-23 Ana Kostovska , Carola Doerr , Sašo Džeroski , Panče Panov , Tome Eftimov

In recent years, Bi-Level Optimization (BLO) techniques have received extensive attentions from both learning and vision communities. A variety of BLO models in complex and practical tasks are of non-convex follower structure in nature…

机器学习 · 计算机科学 2021-10-29 Risheng Liu , Yaohua Liu , Shangzhi Zeng , Jin Zhang

We introduce a method combining variational autoencoders (VAEs) and deep metric learning to perform Bayesian optimisation (BO) over high-dimensional and structured input spaces. By adapting ideas from deep metric learning, we use label…