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In this paper, we consider maximizing the sum-rate in the uplink of a multi-cell OFDMA network. The problem has a non-convex combinatorial structure and is known to be NP hard. Due to the inherent complexity of implementing the optimal…

Optimization and Control · Mathematics 2011-09-22 Hina Tabassum , Zaher Dawy , Mohamed Slim Alouini

Many large-scale constrained optimization problems can be formulated as bilevel distributed optimization tasks over undirected networks, where agents collaborate to minimize a global cost function while adhering to constraints, relying only…

Optimization and Control · Mathematics 2025-11-25 Ajay Tak , Mayank Baranwal

We propose a new subgradient method for the minimization of nonsmooth convex functions over a convex set. To speed up computations we use adaptive approximate projections only requiring to move within a certain distance of the exact…

Optimization and Control · Mathematics 2015-03-19 Dirk A. Lorenz , Marc E. Pfetsch , Andreas M. Tillmann

This paper presents a practical method for finding the globally optimal solution to the sum-of-ratios problem arising in image processing, engineering and management. Unlike traditional methods which may get trapped in local minima due to…

Optimization and Control · Mathematics 2012-08-07 Yunchol Jong

Reconfigurable intelligent surface (RIS) is a promising technology for future wireless communication systems. However, the conventional RIS can only reflect the incident signal. Hence, it provides a limited coverage, as compared to a…

Signal Processing · Electrical Eng. & Systems 2025-04-29 Sadaf Syed , Wolfgang Utschick , Michael Joham

A stochastic gradient method for finite-sum minimization subject to deterministic linear constraints is proposed and analyzed. The procedure presented adapts the projected gradient method on convex set to the use of both a stochastic…

Optimization and Control · Mathematics 2026-05-19 Natasa Krklec Jerinkic , Benedetta Morini , Mahsa Yousefi

This paper addresses a class of (non-)convex optimization problems subject to general convex constraints, which pose significant challenges for traditional methods due to their inherent non-convexity and diversity. Conventional convex…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Xiucheng Wang , Xuan Zhao , Nan Cheng

We study the downlink linear precoder design problem in a multi-cell dense heterogeneous network (HetNet). The problem is formulated as a general sum-utility maximization (SUM) problem, which includes as special cases many practical…

Information Theory · Computer Science 2015-10-22 Mingyi Hong , Qiang Li , Ya-Feng Liu

In this letter, the achievable rate maximization problem is considered for intelligent reflecting surface (IRS) assisted multiple-input multiple-output (MIMO) systems in an underlay spectrum sharing scenario, subject to interference power…

Information Theory · Computer Science 2022-06-10 Vaibhav Kumar , Mark Flanagan , Rui Zhang , Le-Nam Tran

The problem of maximizing weighted sum rates in the downlink of a multicell environment is of considerable interest. Unfortunately, this problem is known to be NP-hard. For the case of multi-antenna base stations and single antenna mobile…

Information Theory · Computer Science 2012-11-12 Le-Nam Tran , Muhammad Fainan Hanif , Antti Tölli , Markku Juntti

We take a new perspective on the weighted sum-rate maximization in multiple-input multiple-output (MIMO) interference networks, by formulating an equivalent max-min problem. This seemingly trivial reformulation has significant implications:…

Information Theory · Computer Science 2013-09-17 Lijun Chen , Seungil You

In this paper, we study the optimal convergence rate for distributed convex optimization problems in networks. We model the communication restrictions imposed by the network as a set of affine constraints and provide optimal complexity…

Optimization and Control · Mathematics 2018-11-16 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

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…

Information Theory · Computer Science 2016-07-05 Koosha Pourtahmasi Roshandeh , Masoud Ardakani , Chintha Tellambura

Optimization algorithms for wireless systems play a fundamental role in improving their performance and efficiency. However, it is known that the complexity of conventional optimization algorithms in the literature often exponentially…

Signal Processing · Electrical Eng. & Systems 2024-07-04 Rafael Cerna Loli , Bruno Clerckx

The sum of ratios problem has a variety of important applications in economics and management science, but it is difficult to globally solve this problem. In this paper, we consider the minimization problem of a sum of a number of…

Optimization and Control · Mathematics 2019-10-25 Yaohua Hu , Carisa Kwok Wai Yu , Xiaoqi Yang

In this paper we consider finite sum composite convex optimization problems with many functional constraints. The objective function is expressed as a finite sum of two terms, one of which admits easy computation of (sub)gradients while the…

Optimization and Control · Mathematics 2024-12-03 Nitesh Kumar Singh , Ion Necoara , Vyacheslav Kungurtsev

Sum-rate maximization in two-way amplify-and-forward (AF) multiple-input multiple-output (MIMO) relaying belongs to the class of difference-of-convex functions (DC) programming problems. DC programming problems occur as well in other signal…

Information Theory · Computer Science 2015-06-04 Arash Khabbazibasmenj , Florian Roemer , Sergiy A. Vorobyov , Martin Haardt

We introduce a unified framework for analyzing utility regions of wireless networks, with a focus on signal-to-interference-plus-noise-ratio (SINR) and achievable rate regions. The framework provides valuable insights into interference…

Signal Processing · Electrical Eng. & Systems 2026-05-07 Renato Luis Garrido Cavalcante , Tomasz Piotrowski , Slawomir Stanczak

In this paper, we propose a novel approach that harnesses the standard interference function, specifically tailored to address the unique challenges of non-convex optimization in wireless networks. We begin by establishing theoretical…

Information Theory · Computer Science 2025-01-23 Jan Christian Hauffen , Chee Wei Tan , Giuseppe Caire

We consider the downlink of a cell-free massive multiple-input multiple-output (MIMO) system where large number of access points (APs) simultaneously serve a group of users. Two fundamental problems are of interest, namely (i) to maximize…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Muhammad Farooq , Hien Quoc Ngo , Le-Nam Tran