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This paper investigates the transmit beamforming design for multiple-input multiple-output systems to support both multi-target localization and multi-user communications. To enhance the target localization performance, we derive the…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Bo Tang , Da Li , Wenjun Wu , Astha Saini , Prabhu Babu , Petre Stoica

This paper considers an artificial noise (AN) aided secrecy rate maximization (SRM) problem for a multi-input single-output (MISO) channel overheard by multiple single-antenna eavesdroppers. We assume that the transmitter has perfect…

Information Theory · Computer Science 2011-04-22 Qiang Li , Wing-Kin Ma

We study nonconvex finite-sum problems and analyze stochastic variance reduced gradient (SVRG) methods for them. SVRG and related methods have recently surged into prominence for convex optimization given their edge over stochastic gradient…

Optimization and Control · Mathematics 2016-04-06 Sashank J. Reddi , Ahmed Hefny , Suvrit Sra , Barnabas Poczos , Alex Smola

Currently, progressively larger deep neural networks are trained on ever growing data corpora. As this trend is only going to increase in the future, distributed training schemes are becoming increasingly relevant. A major issue in…

Machine Learning · Computer Science 2018-05-23 Felix Sattler , Simon Wiedemann , Klaus-Robert Müller , Wojciech Samek

This paper focuses on optimal beamforming to maximize the mean signal-to-noise ratio (SNR) for a reconfigurable intelligent surface (RIS)-aided MISO downlink system under correlated Rician fading. The beamforming problem becomes non-convex…

Information Theory · Computer Science 2023-07-04 Kali Krishna Kota , M. S. S. Manasa , Praful D. Mankar , Harpreet S. Dhillon

This paper presents a proximal bundle variant, namely, the relaxed proximal bundle (RPB) method, for solving convex nonsmooth composite optimization problems. Like other proximal bundle variants, RPB solves a sequence of prox bundle…

Optimization and Control · Mathematics 2021-06-09 Jiaming Liang , Renato D. C. Monteiro

This paper studies energy-efficient coordinated beamforming in multi-cell multi-user multigroup multicast multiple-input single-output systems. We aim at maximizing the network energy efficiency by taking into account the fact that some of…

Information Theory · Computer Science 2017-07-06 Oskari Tervo , Le-Nam Tran , Harri Pennanen , Symeon Chatzinotas , Markku Juntti , Björn Ottersten

Joint radar receive filter and waveform design is non-convex, but is individually convex for a fixed receiver filter while optimizing the waveform, and vice versa. Such classes of problems are fre- quently encountered in optimization, and…

Signal Processing · Electrical Eng. & Systems 2018-02-20 Pawan Setlur , Sean O'Rourke , Muralidhar Rangaswamy

The goal of this paper is to survey the properties of the eigenvalue relaxation for least squares binary problems. This relaxation is a convex program which is obtained as the Lagrangian dual of the original problem with an implicit compact…

Methodology · Statistics 2009-02-10 Stephane Chretien , Franck Corset

We consider stochastic convex optimization problems with affine constraints and develop several methods using either primal or dual approach to solve it. In the primal case, we use a special penalization technique to make the initial…

Optimization and Control · Mathematics 2020-11-13 Eduard Gorbunov , Darina Dvinskikh , Alexander Gasnikov

In this paper we consider a probabilistic signal-to-interference and-noise ratio (SINR) constrained problem for transmit beamforming design in the presence of imperfect channel state information (CSI), under a multiuser multiple-input…

Information Theory · Computer Science 2011-08-05 Kun-Yu Wang , Anthony Man-Cho So , Tsung-Hui Chang , Wing-Kin Ma , Chong-Yung Chi

Nonsmooth sparsity constrained optimization encompasses a broad spectrum of applications in machine learning. This problem is generally non-convex and NP-hard. Existing solutions to this problem exhibit several notable limitations,…

Optimization and Control · Mathematics 2023-12-18 Ganzhao Yuan

Performance of multicell systems is inevitably limited by interference and available resources. Although intercell interference can be mitigated by Base Station (BS) Coordination, the demand on inter-BS information exchange and…

Information Theory · Computer Science 2014-07-10 Mohammad Hossein Akbari , Vahid Tabataba Vakili

In this paper we analyze the randomized block-coordinate descent (RBCD) methods proposed in [8,11] for minimizing the sum of a smooth convex function and a block-separable convex function. In particular, we extend Nesterov's technique…

Optimization and Control · Mathematics 2013-05-22 Zhaosong Lu , Lin Xiao

In this paper, we consider the robust beamforming design in a reconfigurable intelligent surface (RIS)-aided cell-free (CF) system considering the channel state information (CSI) uncertainties of both the direct channels and cascaded…

Information Theory · Computer Science 2023-05-10 Jiacheng Yao , Jindan Xu , Wei Xu , Derrick Wing Kwan Ng , Chau Yuen , Xiaohu You

Reconfigurable holographic surfaces (RHS) have emerged as a transformative material technology, enabling dynamic control of electromagnetic waves to generate versatile holographic beam patterns. This paper addresses the problem of secrecy…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Chandan Kumar Sheemar , Wali Ullah Khan , Marco di Renzo , Asad Mahmood , Jorge Querol , Symeon Chatzinotas

A novel optimization method is proposed to minimize a convex function subject to bilinear matrix inequality (BMI) constraints. The key idea is to decompose the bilinear mapping as a difference between two positive semidefinite convex…

Optimization and Control · Mathematics 2011-09-19 Quoc Tran Dinh , Suat Gumussoy , Wim Michiels , Moritz Diehl

Randomized algorithms are important for solving large-scale optimization problems. In this paper, we propose a fast sketching algorithm for least square problems regularized by convex or nonconvex regularization functions, Sketching for…

Optimization and Control · Mathematics 2023-11-06 Yingzhen Yang , Ping Li

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

Optimization and Control · Mathematics 2023-09-06 Xunhao Wu , Jun Fu

Bilevel optimization (BLO) problem, where two optimization problems (referred to as upper- and lower-level problems) are coupled hierarchically, has wide applications in areas such as machine learning and operations research. Recently, many…

Optimization and Control · Mathematics 2025-05-19 Xiaotian Jiang , Ioannis Tsaknakis , Prashant Khanduri , Mingyi Hong