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In this paper, a projected primal-dual gradient flow of augmented Lagrangian is presented to solve convex optimization problems that are not necessarily strictly convex. The optimization variables are restricted by a convex set with…

最优化与控制 · 数学 2018-10-31 Han Zhang , Jieqiang Wei , Peng Yi , Xiaoming Hu

Interference mitigation techniques are essential for improving the performance of interference limited wireless networks. In this paper, we introduce novel interference mitigation schemes for wireless cellular networks with space division…

信息论 · 计算机科学 2014-08-18 Martin Kasparick , Gerhard Wunder

We present a primal-dual majorization-minimization method for solving large-scale linear programs. A smooth barrier augmented Lagrangian (SBAL) function with strict convexity for the dual linear program is derived. The…

最优化与控制 · 数学 2022-08-09 Xin-Wei Liu , Yu-Hong Dai , Ya-Kui Huang

In this paper, we propose a framework for solving a class of optimization problems encountered in a range of power allocation problems in wireless relay networks. In particular, power allocation for weighted sum-rate and common-rate…

信息论 · 计算机科学 2016-07-05 Koosha Pourtahmasi Roshandeh , Masoud Ardakani , Chintha Tellambura

Reconfigurable intelligent surface (RIS) technology, given its ability to favorably modify wireless communication environments, will play a pivotal role in the evolution of future communication systems. This paper proposes rate maximization…

信息论 · 计算机科学 2024-03-20 Hyuckjin Choi , A. Lee Swindlehurst , Junil Choi

Necessary optimality conditions in Lagrangian form and the sequential minimization framework are extended to mixed-integer nonlinear optimization, without any convexity assumptions. Building upon a recently developed notion of local…

最优化与控制 · 数学 2026-04-10 Alberto De Marchi

We study the problem of modeling multiple symmetric, weighted networks defined on a common set of nodes, where networks arise from different groups or conditions. We propose a model in which each network is expressed as the sum of a shared…

统计理论 · 数学 2025-06-23 Hao Yan , Keith Levin

We study the Min-Weighted Sum Bin Packing problem, a variant of the classical Bin Packing problem in which items have a weight, and each item induces a cost equal to its weight multiplied by the index of the bin in which it is packed. This…

数据结构与算法 · 计算机科学 2023-04-06 Guillaume Sagnol

In this paper we explore the role of duality principles within the problem of rotation averaging, a fundamental task in a wide range of computer vision applications. In its conventional form, rotation averaging is stated as a minimization…

计算机视觉与模式识别 · 计算机科学 2017-11-30 Anders Eriksson , Carl Olsson , Fredrik Kahl , Tat-Jun Chin

In this paper we consider a distributed optimization scenario in which a set of processors aims at minimizing the maximum of a collection of "separable convex functions" subject to local constraints. This set-up is motivated by peak-demand…

分布式、并行与集群计算 · 计算机科学 2017-03-27 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano

In this paper, we employ the concept of quasi-relative interior to analyze the method of Lagrange multipliers and establish strong Lagrangian duality for nonsmooth convex optimization problems in Hilbert spaces. Then, we generalize the…

最优化与控制 · 数学 2026-02-17 Nguyen Mau Nam , Gary Sandine , Quoc Tran-Dinh

In this paper, we propose an algorithm based on the Alternating Minimization technique to solve the uplink massive MIMO detection problem. The proposed algorithm provides a lower complexity compared to the conventional MMSE detection…

信息论 · 计算机科学 2019-02-26 Anis Elgabli , Ali Elghariani , Vaneet Aggarwal , Mark Bell

We consider Lagrangian duality based approaches to design and analyze algorithms for online energy-efficient scheduling. First, we present a primal-dual framework. Our approach makes use of the Lagrangian weak duality and convexity to…

数据结构与算法 · 计算机科学 2014-08-06 Nguyen Kim Thang

We consider the problem of maximizing weighted sum rate in a multiple-input single-output (MISO) downlink wireless network with emphasis on user rate reliability. We introduce a novel risk-aggregated formulation of the complex WSR…

信号处理 · 电气工程与系统科学 2025-10-01 Hassaan Hashmi , Spyridon Pougkakiotis , Dionysis Kalogerias

This paper considers the joint precoder design problem for multiple-input single-output (MISO) systems with coordinated base stations (BSs). We consider maximization of the total sum rate with per BS antenna power constraint problem. For…

最优化与控制 · 数学 2013-11-26 Tadilo Endeshaw Bogale , Luc Vandendorpe

We consider the problem of linear transceiver design to achieve max-min fairness in a downlink MIMO multicell network. This problem can be formulated as maximizing the minimum rate among all the users in an interfering broadcast channel…

信息论 · 计算机科学 2012-09-03 Meisam Razaviyayn , Mingyi Hong , Zhi-Quan Luo

We consider a general class of combinatorial optimization problems including among others allocation, multiple knapsack, matching or travelling salesman problems. The standard version of those problems is the maximum weight optimization…

数据结构与算法 · 计算机科学 2018-01-24 Viet Hung Nguyen , Paul Weng

The continuous nonlinear resource allocation problem (CONRAP) has broad applications in economics, engineering, production and inventory management, and often serves as a subproblem in complex programming. Without relying on monotonicity…

最优化与控制 · 数学 2025-01-10 Kaixiang Hu , Caixia Kou , Jianhua Yuan

Owing to the structure of the Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC), associated optimization problems such as capacity region computation and beamforming optimization are typically non-convex, and cannot be…

信息论 · 计算机科学 2008-09-25 Lan Zhang , Rui Zhang , Ying-Chang Liang , Yan Xin , H. Vincent Poor

We investigate the connections between max-weight approaches and dual subgradient methods for convex optimisation. We find that strong connections exist and we establish a clean, unifying theoretical framework that includes both max-weight…

最优化与控制 · 数学 2015-08-27 Víctor Valls , Douglas J. Leith