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Complex networks theory has commonly been used for modelling and understanding the interactions taking place between the elements composing complex systems. More recently, the use of generative models has gained momentum, as they allow…

物理与社会 · 物理学 2016-05-19 Massimiliano Zanin , Marco Correia , Pedro A. C. Sousa , Jorge Cruz

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order…

最优化与控制 · 数学 2008-05-13 Xinjia Chen , Kemin Zhou

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

人工智能 · 计算机科学 2015-09-24 Shayan Poursoltan , Frank Neumann

We investigate finite-dimensional constrained structured optimization problems, featuring composite objective functions and set-membership constraints. Offering an expressive yet simple language, this problem class provides a modeling…

最优化与控制 · 数学 2023-02-09 Alberto De Marchi , Xiaoxi Jia , Christian Kanzow , Patrick Mehlitz

We consider optimization problems involving the multiplication of variable matrices to be selected from a given family, which might be a discrete set, a continuous set or a combination of both. Such nonlinear, and possibly discrete,…

最优化与控制 · 数学 2021-03-12 Burak Kocuk

The types of constraints encountered in black-box and simulation-based optimization problems differ significantly from those treated in nonlinear programming. We introduce a characterization of constraints to address this situation. We…

最优化与控制 · 数学 2015-06-01 Sébastien Le Digabel , Stefan M. Wild

The study of combinatorial optimization problems with a submodular objective has attracted much attention in recent years. Such problems are important in both theory and practice because their objective functions are very general. Obtaining…

数据结构与算法 · 计算机科学 2016-11-11 Niv Buchbinder , Moran Feldman

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

统计方法学 · 统计学 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

In today's day and time solving real-world complex problems has become fundamentally vital and critical task. Many of these are combinatorial problems, where optimal solutions are sought rather than exact solutions. Traditional optimization…

神经与进化计算 · 计算机科学 2024-09-05 Pravin S Game , Vinod Vaze , Emmanuel M

Optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This dynamical systems formulation allows for the analysis and synthesis of…

最优化与控制 · 数学 2026-03-27 Jared Miller , Carsten Scherer , Fabian Jakob , Andrea Iannelli

The optimization of dynamic problems is both widespread and difficult. When conducting dynamic optimization, a balance between reinitialization and computational expense has to be found. There are multiple approaches to this. In parallel…

神经与进化计算 · 计算机科学 2014-01-21 Ronald Hochreiter , Christoph Waldhauser

Control synthesis under constraints is at the forefront of research on autonomous systems, in part due to its broad application from low-level control to high-level planning, where computing control inputs is typically cast as a constrained…

最优化与控制 · 数学 2026-03-23 Panagiotis Rousseas , Haejoon Lee , Dimos V. Dimarogonas , Dimitra Panagou

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

神经与进化计算 · 计算机科学 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

最优化与控制 · 数学 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

Many key problems in machine learning and data science are routinely modeled as optimization problems and solved via optimization algorithms. With the increase of the volume of data and the size and complexity of the statistical models used…

最优化与控制 · 数学 2020-08-28 Filip Hanzely

Binary optimization is a central problem in mathematical optimization and its applications are abundant. To solve this problem, we propose a new class of continuous optimization techniques which is based on Mathematical Programming with…

最优化与控制 · 数学 2017-12-07 Ganzhao Yuan , Bernard Ghanem

Model instability and poor prediction of long-term behavior are common problems when modeling dynamical systems using nonlinear "black-box" techniques. Direct optimization of the long-term predictions, often called simulation error…

系统与控制 · 计算机科学 2017-01-25 Mark M. Tobenkin , Ian R. Manchester , Alexandre Megretski

This paper provides a theoretical and numerical investigation of a penalty decomposition scheme for the solution of optimization problems with geometric constraints. In particular, we consider some situations where parts of the constraints…

最优化与控制 · 数学 2023-03-23 Matteo Lapucci , Christian Kanzow

Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Accordingly, Combinatorial Optimization is a sub field of this domain of…

计算复杂性 · 计算机科学 2023-06-29 Anurag Dutta , K. Lakshmanan , A. Ramamoorthy , Liton Chandra Voumik , John Harshith , John Pravin Motha

Many problems in science and engineering can be formulated as optimization problems, subject to complex nonlinear constraints. The solutions of highly nonlinear problems usually require sophisticated optimization algorithms, and traditional…

神经与进化计算 · 计算机科学 2020-03-26 Xin-She Yang
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