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In this paper, we propose a double iteratively reweighted algorithm to solve nonconvex and nonsmooth optimization problems, where both the objectives and constraint functions are formulated by concave compositions to promote group-sparse…

最优化与控制 · 数学 2025-11-25 Wanqin Nie , Kai Tu , Minglu Ye , Shuqin Sun

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

In this paper we present algorithms for several string problems in the Congested Clique model. In the Congested Clique model, $n$ nodes (computers) are used to solve some problem. The input to the problem is distributed among the nodes, and…

数据结构与算法 · 计算机科学 2025-04-14 Shay Golan , Matan Kraus

This paper discusses the graph covering problem in which a set of edges in an edge- and node-weighted graph is chosen to satisfy some covering constraints while minimizing the sum of the weights. In this problem, because of the large…

数据结构与算法 · 计算机科学 2014-04-17 Takuro Fukunaga

We consider a class of multi-agent cooperative consensus optimization problems with local nonlinear convex constraints where only those agents connected by an edge can directly communicate, hence, the optimal consensus decision lies in the…

最优化与控制 · 数学 2023-02-23 Nazanin Abolfazli , Afrooz Jalilzadeh , Erfan Yazdandoost Hamedani

The development of large-scale distributed control systems has led to the outsourcing of costly computations to cloud-computing platforms, as well as to concerns about privacy of the collected sensitive data. This paper develops a…

A hybrid framework combining the branch and bound method with multiobjective evolutionary algorithms is proposed for nonconvex multiobjective optimization. The hybridization exploits the complementary character of the two optimization…

最优化与控制 · 数学 2022-12-12 Wei-tian Wu , Xin-min Yang

Network coding is a new technique to transmit data through a network by letting the intermediate nodes combine the packets they receive. Given a network, the network coding solvability problem decides whether all the packets requested by…

信息论 · 计算机科学 2013-07-24 Maximilien Gadouleau

We study constrained comonotone min-max optimization, a structured class of nonconvex-nonconcave min-max optimization problems, and their generalization to comonotone inclusion. In our first contribution, we extend the Extra Anchored…

最优化与控制 · 数学 2024-12-06 Yang Cai , Argyris Oikonomou , Weiqiang Zheng

Community detection and orthogonal group synchronization are both fundamental problems with a variety of important applications in science and engineering. In this work, we consider the joint problem of community detection and orthogonal…

机器学习 · 统计学 2022-09-19 Yifeng Fan , Yuehaw Khoo , Zhizhen Zhao

The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weight sum of the cut edges. In this paper, we engineer the fastest known exact algorithm for the problem.…

数据结构与算法 · 计算机科学 2018-08-17 Monika Henzinger , Alexander Noe , Christian Schulz

Large-scale overlapping problems are prevalent in practical engineering applications, and the optimization challenge is significantly amplified due to the existence of shared variables. Decomposition-based cooperative coevolution (CC)…

神经与进化计算 · 计算机科学 2024-04-17 Maojiang Tian , Mingke Chen , Wei Du , Yang Tang , Yaochu Jin

An optimal linear coding solution for index coding problem is established. Instead of network coding approach by focus on graph theoric and algebraic methods a linear coding program for solving both unicast and groupcast index coding…

信息论 · 计算机科学 2015-05-08 Pouya Pezeshkpour

Although real-coded differential evolution (DE) algorithms can perform well on continuous optimization problems (CoOPs), it is still a challenging task to design an efficient binary-coded DE algorithm. Inspired by the learning mechanism of…

神经与进化计算 · 计算机科学 2014-05-13 Yu Chen , Weicheng Xie , Xiufen Zou

The aim of structured optimization is to assemble a solution, using a given set of (possibly uncountably infinite) atoms, to fit a model to data. A two-stage algorithm based on gauge duality and bundle method is proposed. The first stage…

最优化与控制 · 数学 2019-11-05 Zhenan Fan , Yifan Sun , Michael P. Friedlander

Electronic phased-array radars offer new possibilities for radar search pattern optimization by using bi-dimensional beam-forming and beam-steering. Radar search pattern optimization can be approximated as a set cover problem and solved…

最优化与控制 · 数学 2020-02-13 Yann Briheche , Frédéric Barbaresco , Fouad Bennis , Damien Chablat

We investigate two "categorified" braid conjugacy class invariants, one coming from Khovanov homology and the other from Heegaard Floer homology. We prove that each yields a solution to the word problem but not the conjugacy problem in the…

几何拓扑 · 数学 2013-07-29 John A. Baldwin , J. Elisenda Grigsby

He and Yuan's prediction-correction framework [SIAM J. Numer. Anal. 50: 700-709, 2012] is able to provide convergent algorithms for solving separable convex optimization problems at a rate of $O(1/t)$ ($t$ represents iteration times) in…

最优化与控制 · 数学 2024-02-06 Tao Zhang , Yong Xia , Shiru Li

Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

数据结构与算法 · 计算机科学 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

The problem of constructing elliptic curves suitable for pairing applications has received a lot of attention. To solve this, we propose a variant algorithm of a known method by Brezing and Weng. We produce new families of parameters using…

数论 · 数学 2007-11-14 Tanaka Satoru , Nakamula Ken
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