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We present an algorithm for a class of statistical inference problems. The main idea is to reformulate the inference problem as an optimization procedure, based on the generation of surrogate (auxiliary) functions. This approach is…

最优化与控制 · 数学 2018-05-22 Rodrigo Carvajal , Rafael Orellana , Dimitrios Katselis , Pedro Escárate , Juan. C. Agüero

Balancing competing objectives is omnipresent across disciplines, from drug design to autonomous systems. Multi-objective Bayesian optimization is a promising solution for such expensive, black-box problems: it fits probabilistic surrogates…

机器学习 · 计算机科学 2026-05-13 Xinyu Zhang , Conor Hassan , Julien Martinelli , Daolang Huang , Samuel Kaski

This paper presents a novel learning-based approach to construct a surrogate problem that approximates a given parametric nonconvex optimization problem. The surrogate function is designed to be the minimum of a finite set of functions,…

最优化与控制 · 数学 2026-04-08 Renzi Wang , Panagiotis Patrinos , Alberto Bemporad

Bayesian optimization (BO) algorithms form a class of surrogate-based heuristics, aimed at efficiently computing high-quality solutions for numerical black-box optimization problems. The BO pipeline is highly modular, with different design…

机器学习 · 计算机科学 2022-11-18 Carolin Benjamins , Anja Jankovic , Elena Raponi , Koen van der Blom , Marius Lindauer , Carola Doerr

We propose a practical Bayesian optimization method over sets, to minimize a black-box function that takes a set as a single input. Because set inputs are permutation-invariant, traditional Gaussian process-based Bayesian optimization…

机器学习 · 统计学 2021-01-26 Jungtaek Kim , Michael McCourt , Tackgeun You , Saehoon Kim , Seungjin Choi

Black-box complexity is a complexity theoretic measure for how difficult a problem is to be optimized by a general purpose optimization algorithm. It is thus one of the few means trying to understand which problems are tractable for genetic…

神经与进化计算 · 计算机科学 2015-03-19 Benjamin Doerr , Timo Kötzing , Johannes Lengler , Carola Winzen

For a wide range of applications the structure of systems like Neural Networks or complex simulations, is unknown and approximation is costly or even impossible. Black-box optimization seeks to find optimal (hyper-) parameters for these…

机器学习 · 计算机科学 2023-09-06 Janina Schreiber , Damar Wicaksono , Michael Hecht

Discrete black-box optimization problems are challenging for model-based optimization (MBO) algorithms, such as Bayesian optimization, due to the size of the search space and the need to satisfy combinatorial constraints. In particular,…

There are a large number of optimization problems in physical models where the relationships between model parameters and outputs are unknown or hard to track. These models are named as black-box models in general because they can only be…

机器学习 · 计算机科学 2021-04-07 Zhongkai Shangguan , Lei Lin , Wencheng Wu , Beilei Xu

Solving complex problems requires continuous effort in developing theory and practice to cope with larger, more difficult scenarios. Working with surrogates is normal for creating a proxy that realistically models the problem into the…

神经与进化计算 · 计算机科学 2026-02-10 Tomohiro Harada , Enrique Alba , Gabriel Luque

Many decision-making processes involve solving a combinatorial optimization problem with uncertain input that can be estimated from historic data. Recently, problems in this class have been successfully addressed via end-to-end learning…

机器学习 · 计算机科学 2021-07-07 Maxime Mulamba , Jayanta Mandi , Michelangelo Diligenti , Michele Lombardi , Victor Bucarey , Tias Guns

Surrogate-based optimization relies on so-called infill criteria (acquisition functions) to decide which point to evaluate next. When Kriging is used as the surrogate model of choice (also called Bayesian optimization), one of the most…

神经与进化计算 · 计算机科学 2020-02-18 Frederik Rehbach , Martin Zaefferer , Boris Naujoks , Thomas Bartz-Beielstein

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

Simulators often provide the best description of real-world phenomena. However, they also lead to challenging inverse problems because the density they implicitly define is often intractable. We present a new suite of simulation-based…

机器学习 · 统计学 2020-02-25 Johann Brehmer , Gilles Louppe , Juan Pavez , Kyle Cranmer

Optimization problems with nonlinear cost functions and combinatorial constraints appear in many real-world applications but remain challenging to solve efficiently compared to their linear counterparts. To bridge this gap, we propose…

机器学习 · 计算机科学 2023-07-20 Aaron Ferber , Taoan Huang , Daochen Zha , Martin Schubert , Benoit Steiner , Bistra Dilkina , Yuandong Tian

Many scientific and technological problems are related to optimization. Among them, black-box optimization in high-dimensional space is particularly challenging. Recent neural network-based black-box optimization studies have shown…

神经与进化计算 · 计算机科学 2024-01-30 Changhwi Park

In this paper, we study optimization methods consisting of iteratively minimizing surrogates of an objective function. By proposing several algorithmic variants and simple convergence analyses, we make two main contributions. First, we…

机器学习 · 统计学 2013-05-15 Julien Mairal

Global optimization of black-box functions is challenging in high dimensions. We introduce a conceptual adaptive random search framework, Branching Adaptive Surrogate Search Optimization (BASSO), that combines partitioning and surrogate…

最优化与控制 · 数学 2025-04-28 Pariyakorn Maneekul , Zelda B. Zabinsky , Giulia Pedrielli

Bayesian optimization has recently attracted the attention of the automatic machine learning community for its excellent results in hyperparameter tuning. BO is characterized by the sample efficiency with which it can optimize expensive…

机器学习 · 计算机科学 2017-07-19 Ruben Martinez-Cantin , Michael McCourt , Kevin Tee

Bayesian optimization (BO) is an effective method of finding the global optima of black-box functions. Recently BO has been applied to neural architecture search and shows better performance than pure evolutionary strategies. All these…

机器学习 · 计算机科学 2019-05-16 Lizheng Ma , Jiaxu Cui , Bo Yang