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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…

Optimization and Control · Mathematics 2017-12-07 Ganzhao Yuan , Bernard Ghanem

Cell-free Massive multiple-input multiple-output (MIMO) is considered, where distributed access points (APs) multiply the received signal by the conjugate of the estimated channel, and send back a quantized version of this weighted signal…

Information Theory · Computer Science 2019-07-09 Manijeh Bashar , Kanapathippillai Cumanan , Alister G. Burr , Hien Quoc Ngo , Merouane Debbah , Pei Xiao

This paper focuses on designing edge-weighted networks, whose robustness is characterized by maximizing algebraic connectivity, or the second smallest eigenvalue of the Laplacian matrix. This problem is motivated by cooperative vehicle…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Neelkamal Somisetty , Harsha Nagarajan , Swaroop Darbha

We take two new approaches to design efficient algorithms for transmitter optimization under rate constraints to guarantee the Quality of Service in general MIMO interference networks, named B-MAC Networks, which is a combination of…

Information Theory · Computer Science 2010-06-29 An Liu , Youjian , Liu , Haige Xiang , Wu Luo

By exploiting double-penalty terms for the primal subproblem, we develop a novel relaxed augmented Lagrangian method for solving a family of convex optimization problems subject to equality or inequality constraints. The method is then…

Numerical Analysis · Mathematics 2025-06-16 Jianchao Bai , Linyuan Jia , Zheng Peng

Characterizing the global maximum of weighted sum-rate (WSR) for the K-user Gaussian interference channel (GIC), with the interference treated as Gaussian noise, is a key problem in wireless communication. However, due to the users' mutual…

Information Theory · Computer Science 2016-11-17 Liang Liu , Rui Zhang , Kee-Chaing Chua

In this paper, we design an association scheme to maximize the sum energy efficiency for massive multiple-input and multiple-output (MIMO) enabled heterogeneous cellular networks (HCNs). Considering that the final formulated problem is in a…

Information Theory · Computer Science 2016-07-06 Tianqing Zhou

This paper addresses joint transceiver and relay design for a wireless multiple-input-multiple-output (MIMO) switching scheme that enables data exchange among multiple users. Here, a multi-antenna relay linearly precodes the received…

Information Theory · Computer Science 2016-11-18 Fanggang Wang , Xiaojun Yuan , Soung Chang Liew , Dongning Guo

In Part II of this two-part paper, a sum-rate-maximizing power allocation with minimum power consumption is found for multiple-input multiple-output (MIMO) decode-and-forward (DF) two-way relaying (TWR) in a network optimization scenario.…

Information Theory · Computer Science 2015-06-12 Jie Gao , Sergiy A. Vorobyov , Hai Jiang , Jianshu Zhang , Martin Haardt

This letter considers the weighted sum-rate maximization (WSRMax) problem in downlink multicell multiuser orthogonal frequency-division multiplexing system. The WSRMax problem under per base station transmit power constraint is known to be…

Information Theory · Computer Science 2017-08-16 Mirza Golam Kibria , Hidekazu Murata

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 a multi-agent optimization problem where agents subject to local, intermittent interactions aim to minimize a sum of local objective functions subject to a global inequality constraint and a global state constraint set. In…

Optimization and Control · Mathematics 2012-10-10 Minghui Zhu , Sonia Martinez

Utility (e.g., sum-rate) maximization for multiantenna broadcast and interference channels (with one antenna at the receivers) is known to be in general a non-convex problem, if one limits the scope to linear (beamforming) strategies at…

Information Theory · Computer Science 2011-05-03 M. Rossi , A. M. Tulino , O. Simeone , A. M. Haimovich

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

This paper studies distributed convex optimization with both affine equality and nonlinear inequality couplings through the duality analysis. We first formulate the dual of the coupling-constraint problem and reformulate it as a consensus…

Optimization and Control · Mathematics 2025-12-05 Chenyang Qiu , Yangyang Qian , Zongli Lin , Yacov A. Shamash

Augmented Lagrangian dual augments the classical Lagrangian dual with a non-negative non-linear penalty function of the violation of the relaxed/dualized constraints in order to reduce the duality gap. We investigate the cases in which…

Optimization and Control · Mathematics 2025-01-20 Avinash Bhardwaj , Vishnu Narayanan , Abhishek Pathapati

We propose a simple and fast method for providing a high quality solution for the sum-interference minimization problem. As future networks are deployed in high density urban areas, improved clustering methods are needed to provide low…

Social and Information Networks · Computer Science 2021-11-02 Péter L. Erdős , Tamás Róbert Mezei , Yiding Yu , Xiang Chen , Wei Han , Bo Bai

In this paper, we propose a unified primal-dual algorithm framework based on the augmented Lagrangian function for composite convex problems with conic inequality constraints. The new framework is highly versatile. First, it not only covers…

Optimization and Control · Mathematics 2022-08-31 Zhenyuan Zhu , Fan Chen , Junyu Zhang , Zaiwen Wen

State-of-the-art techniques for simultaneous localization and mapping (SLAM) employ iterative nonlinear optimization methods to compute an estimate for robot poses. While these techniques often work well in practice, they do not provide…

Robotics · Computer Science 2015-07-21 Luca Carlone , David Rosen , Giuseppe Calafiore , John Leonard , Frank Dellaert

In this work we study a special minimax problem where there are linear constraints that couple both the minimization and maximization decision variables. The problem is a generalization of the traditional saddle point problem (which does…

Optimization and Control · Mathematics 2022-11-29 Ioannis Tsaknakis , Mingyi Hong , Shuzhong Zhang