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Black-box and preference-based optimization algorithms are global optimization procedures that aim to find the global solutions of an optimization problem using, respectively, the least amount of function evaluations or sample comparisons…

最优化与控制 · 数学 2022-02-04 Davide Previtali , Mirko Mazzoleni , Antonio Ferramosca , Fabio Previdi

Weight optimization of frame structures with continuous cross-section parametrization is a challenging non-convex problem that has traditionally been solved by local optimization techniques. Here, we exploit its inherent semi-algebraic…

最优化与控制 · 数学 2025-01-29 Marek Tyburec , Michal Kočvara , Martin Kružík

Majorization-minimization algorithms consist of successively minimizing a sequence of upper bounds of the objective function so that along the iterations the objective function decreases. Such a simple principle allows to solve a large…

最优化与控制 · 数学 2025-03-04 Ion Necoara , Daniela Lupu

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

机器学习 · 计算机科学 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

A new strategy for global geometry optimization of clusters is presented. Important features are a restriction of search space to favorable nearest-neighbor distance ranges, a suitable cluster growth representation with diminished…

chem-ph · 物理学 2009-10-28 Bernd Hartke

This paper addresses the study of derivative-free smooth optimization problems, where the gradient information on the objective function is unavailable. Two novel general derivative-free methods are proposed and developed for minimizing…

最优化与控制 · 数学 2023-11-29 Pham Duy Khanh , Boris S. Mordukhovich , Dat Ba Tran

Bayesian optimization is an advanced tool to perform ecient global optimization It consists on enriching iteratively surrogate Kriging models of the objective and the constraints both supposed to be computationally expensive of the targeted…

We consider the problem of estimating a good maximizer of a black-box function given noisy examples. To solve such problems, we propose to fit a new type of function which we call a global optimization network (GON), defined as any…

机器学习 · 统计学 2022-02-04 Sen Zhao , Erez Louidor , Olexander Mangylov , Maya Gupta

This paper describes a data-driven framework for approximate global optimization in which precomputed solutions to a sample of problems are retrieved and adapted during online use to solve novel problems. This approach has promise for…

机器人学 · 计算机科学 2016-05-17 Kris Hauser

Bayesian optimization is an approach to optimizing objective functions that take a long time (minutes or hours) to evaluate. It is best-suited for optimization over continuous domains of less than 20 dimensions, and tolerates stochastic…

机器学习 · 统计学 2018-07-10 Peter I. Frazier

Continuous optimization is an important problem in many areas of AI, including vision, robotics, probabilistic inference, and machine learning. Unfortunately, most real-world optimization problems are nonconvex, causing standard convex…

人工智能 · 计算机科学 2016-11-10 Abram L. Friesen , Pedro Domingos

In classic Reinforcement Learning (RL), the agent maximizes an additive objective of the visited states, e.g., a value function. Unfortunately, objectives of this type cannot model many real-world applications such as experiment design,…

机器学习 · 计算机科学 2024-07-16 Riccardo De Santi , Manish Prajapat , Andreas Krause

The ultimate goal of optimization is to find the minimizer of a target function.However, typical criteria for active optimization often ignore the uncertainty about the minimizer. We propose a novel criterion for global optimization and an…

统计方法学 · 统计学 2012-02-13 Il Memming Park , Marcel Nassar , Mijung Park

We consider the constrained Linear Inverse Problem (LIP), where a certain atomic norm (like the $\ell_1 $ norm) is minimized subject to a quadratic constraint. Typically, such cost functions are non-differentiable, which makes them not…

最优化与控制 · 数学 2025-07-08 Mohammed Rayyan Sheriff , Floor Fenne Redel , Peyman Mohajerin Esfahani

We propose a scalable encoding of combinatorial optimization problems with arbitrary connectivity, including higher-order terms, on arrays of trapped neutral atoms requiring only a global laser drive. Our approach relies on modular…

量子物理 · 物理学 2024-10-08 Martin Lanthaler , Kilian Ender , Clemens Dlaska , Wolfgang Lechner

We propose a novel iterative method for optimally placing and orienting multiple cameras in a 3D scene. Sample applications include improving the accuracy of 3D reconstruction, maximizing the covered area for surveillance, or improving the…

计算机视觉与模式识别 · 计算机科学 2021-03-23 Maria L. Hänel , Carola-B. Schönlieb

Gradient sampling (GS) has proved to be an effective methodology for the minimization of objective functions that may be nonconvex and/or nonsmooth. The most computationally expensive component of a contemporary GS method is the need to…

最优化与控制 · 数学 2021-08-10 Frank E. Curtis , Minhan Li

For developing innovative systems architectures, modeling and optimization techniques have been central to frame the architecting process and define the optimization and modeling problems. In this context, for system-of-systems the use of…

As we know, some global optimization problems cannot be solved using analytic methods, so numeric/algorithmic approaches are used to find near to the optimal solutions for them. A stochastic global optimization algorithm (SGoal) is an…

人工智能 · 计算机科学 2017-06-08 Jonatan Gomez

We propose a new method, the continuous Galerkin method with globally and locally supported basis functions (CG-GL), to address the parametric robustness issues of reduced-order models (ROMs) by incorporating solution-based adaptivity with…

数值分析 · 数学 2023-10-10 Han Gao , Matthew J. Zahr