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Bayesian optimization is a popular and versatile approach that is well suited to solve challenging optimization problems. Their popularity comes from their effective minimization of expensive function evaluations, their capability to…

最优化与控制 · 数学 2026-05-14 André L. Marchildon , David W. Zingg

With this paper, we contribute to the growing research area of feature-based analysis of bio-inspired computing. In this research area, problem instances are classified according to different features of the underlying problem in terms of…

神经与进化计算 · 计算机科学 2016-02-10 Shayan Poursoltan , Frank Neumann

Recent literature has advocated the use of randomized methods for accelerating the solution of various matrix problems arising throughout data science and computational science. One popular strategy for leveraging randomization is to use it…

数值分析 · 数学 2024-09-27 Boris Shustin , Haim Avron

In this work we introduce a novel approach, based on sampling, for finding assignments that are likely to be solutions to stochastic constraint satisfaction problems and constraint optimisation problems. Our approach reduces the size of the…

最优化与控制 · 数学 2015-09-22 Roberto Rossi , Brahim Hnich , S. Armagan Tarim , Steven Prestwich

We apply recent ideas about complexity and randomness to the philosophy of laws and chances. We develop two ways to use algorithmic randomness to characterize probabilistic laws of nature. The first, a generative chance* law, employs a…

物理学史与哲学 · 物理学 2025-09-03 Jeffrey A. Barrett , Eddy Keming Chen

A general condition determining the optimal performance of a complex system has not yet been found and the possibility of its existence is unknown. To contribute in this direction, an optimization algorithm as a complex system is presented.…

计算复杂性 · 计算机科学 2007-05-23 Victor Korotkikh , Galina Korotkikh , Darryl Bond

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

最优化与控制 · 数学 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

This paper focuses on stochastic optimal control problems with constraints in law, which are rewritten as optimization (minimization) of probability measures problem on the canonical space. We introduce a penalized version of this type of…

最优化与控制 · 数学 2025-03-18 Thibaut Bourdais , Nadia Oudjane , Francesco Russo

We consider adaptive decision-making problems where an agent optimizes a cumulative performance objective by repeatedly choosing among a finite set of options. Compared to the classical prediction-with-expert-advice set-up, we consider…

机器学习 · 计算机科学 2023-04-10 Michael Muehlebach

Chance constraints provide a principled framework to mitigate the risk of high-impact extreme events by modifying the controllable properties of a system. The low probability and rare occurrence of such events, however, impose severe…

最优化与控制 · 数学 2022-01-11 Shanyin Tong , Anirudh Subramanyam , Vishwas Rao

Many nonlinear optimal control and optimization problems involve constraints that combine continuous dynamics with discrete logic conditions. Standard approaches typically rely on mixed-integer programming, which introduces scalability…

系统与控制 · 电气工程与系统科学 2026-01-08 Jad Wehbeh , Eric C. Kerrigan

The automatic generation of computer programs is one of the main applications with practical relevance in the field of evolutionary computation. With program synthesis techniques not only software developers could be supported in their…

神经与进化计算 · 计算机科学 2021-08-30 Dominik Sobania , Dirk Schweim , Franz Rothlauf

This paper is devoted to the theoretical and numerical investigation of an augmented Lagrangian method for the solution of optimization problems with geometric constraints. Specifically, we study situations where parts of the constraints…

最优化与控制 · 数学 2022-04-20 Xiaoxi Jia , Christian Kanzow , Patrick Mehlitz , Gerd Wachsmuth

Optimality conditions in the form of a variational inequality are proved for a class of constrained optimal control problems of stochastic differential equations. The cost function and the inequality constraints are functions of the…

最优化与控制 · 数学 2018-02-13 Laurent Pfeiffer

The field of optimization has gotten a lot of interest in recent years owing to significant advances in computer technology. Numerous issues in machine learning, economics, finance, geophysics, molecular modeling, computational systems…

最优化与控制 · 数学 2023-02-14 M. M. Hammad , M. M. Yahia

This paper addresses two central problems for probabilistic processing models: parameter estimation from incomplete data and efficient retrieval of most probable analyses. These questions have been answered satisfactorily only for…

cmp-lg · 计算机科学 2007-05-23 Stefan Riezler

Robust Optimization has traditionally taken a pessimistic, or worst-case viewpoint of uncertainty which is motivated by a desire to find sets of optimal policies that maintain feasibility under a variety of operating conditions. In this…

机器学习 · 统计学 2017-11-22 Matthew Norton , Akiko Takeda , Alexander Mafusalov

Recent work on Bayesian optimization has shown its effectiveness in global optimization of difficult black-box objective functions. Many real-world optimization problems of interest also have constraints which are unknown a priori. In this…

机器学习 · 统计学 2014-03-25 Michael A. Gelbart , Jasper Snoek , Ryan P. Adams

Inspired by regularization techniques in statistics and machine learning, we study complementary composite minimization in the stochastic setting. This problem corresponds to the minimization of the sum of a (weakly) smooth function endowed…

机器学习 · 计算机科学 2024-01-24 Alexandre d'Aspremont , Cristóbal Guzmán , Clément Lezane

We present a new optimization method for the group selection problem in linear regression. In this problem, predictors are assumed to have a natural group structure and the goal is to select a small set of groups that best fits the…

统计方法学 · 统计学 2024-04-23 Anant Mathur , Sarat Moka , Benoit Liquet , Zdravko Botev