Search Results - "first-order algorithms"
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Energy-Efficient Non-Orthogonal Multicast and Unicast Transmission of Cell-Free Massive MIMO Systems With SWIPT
ISSN: 0733-8716, 1558-0008Published: New York IEEE 01.04.2021Published in IEEE journal on selected areas in communications (01.04.2021)“…This work investigates the energy-efficient resource allocation for layered-division multiplexing (LDM) based non-orthogonal multicast and unicast transmission…”
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Secure Multicast Energy-Efficiency Maximization With Massive RISs and Uncertain CSI: First-Order Algorithms and Convergence Analysis
ISSN: 1536-1276, 1558-2248Published: New York IEEE 01.09.2022Published in IEEE transactions on wireless communications (01.09.2022)“…Reconfigurable intelligent surface (RIS) has the potential to significantly enhance the network secure transmission performance by reconfiguring the wireless…”
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Robustness of Accelerated First-Order Algorithms for Strongly Convex Optimization Problems
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.06.2021Published in IEEE transactions on automatic control (01.06.2021)“…We study the robustness of accelerated first-order algorithms to stochastic uncertainties in gradient evaluation. Specifically, for unconstrained, smooth,…”
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Massive Access in Secure NOMA Under Imperfect CSI: Security Guaranteed Sum-Rate Maximization With First-Order Algorithm
ISSN: 0733-8716, 1558-0008Published: New York IEEE 01.04.2021Published in IEEE journal on selected areas in communications (01.04.2021)“…Non-orthogonal multiple access (NOMA) is a promising solution for secure transmission under massive access. However, in addition to the uncertain channel state…”
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Distributed Heavy-Ball: A Generalization and Acceleration of First-Order Methods With Gradient Tracking
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.06.2020Published in IEEE transactions on automatic control (01.06.2020)“…We study distributed optimization to minimize a sum of smooth and strongly-convex functions. Recent work on this problem uses gradient tracking to achieve…”
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ANOTHER LOOK AT THE FAST ITERATIVE SHRINKAGE/THRESHOLDING ALGORITHM (FISTA)
ISSN: 1052-6234Published: United States 2018Published in SIAM journal on optimization (2018)“…This paper provides a new way of developing the "Fast Iterative Shrinkage/Thresholding Algorithm (FISTA)" [3] that is widely used for minimizing composite…”
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Fixed-Time Nash Equilibrium Seeking in Time-Varying Networks
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.04.2023Published in IEEE transactions on automatic control (01.04.2023)“…In this article, we introduce first-order and zeroth-order Nash equilibrium seeking dynamics with fixed-time and practical fixed-time convergence certificates…”
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Exterior-Point Optimization for Sparse and Low-Rank Optimization
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.08.2024Published in Journal of optimization theory and applications (01.08.2024)“…Many problems of substantial current interest in machine learning, statistics, and data science can be formulated as sparse and low-rank optimization problems…”
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On the ergodic convergence rates of a first-order primal–dual algorithm
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016Published in Mathematical programming (01.09.2016)“…We revisit the proofs of convergence for a first order primal–dual algorithm for convex optimization which we have studied a few years ago. In particular, we…”
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Caching at Base Stations With Multi-Cluster Multicast Wireless Backhaul via Accelerated First-Order Algorithms
ISSN: 1536-1276, 1558-2248Published: New York IEEE 01.05.2020Published in IEEE transactions on wireless communications (01.05.2020)“…Cloud radio access network (C-RAN) has been recognized as a promising architecture for next-generation wireless systems to support the rapidly increasing…”
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Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2015Published in Mathematical programming (01.02.2015)“…We propose a first order interior point algorithm for a class of non-Lipschitz and nonconvex minimization problems with box constraints, which arise from…”
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First-order optimization algorithms via inertial systems with Hessian driven damping
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2022Published in Mathematical programming (01.05.2022)“…In a Hilbert space setting, for convex optimization, we analyze the convergence rate of a class of first-order algorithms involving inertial features. They can…”
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Distributed Non-Convex First-Order Optimization and Information Processing: Lower Complexity Bounds and Rate Optimal Algorithms
ISSN: 1053-587X, 1941-0476Published: New York IEEE 15.11.2019Published in IEEE transactions on signal processing (15.11.2019)“…We consider a class of popular distributed non-convex optimization problems, in which agents connected by a network ς collectively optimize a sum of smooth…”
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On Multi-Layer Basis Pursuit, Efficient Algorithms and Convolutional Neural Networks
ISSN: 0162-8828, 1939-3539, 2160-9292, 1939-3539Published: United States IEEE 01.08.2020Published in IEEE transactions on pattern analysis and machine intelligence (01.08.2020)“…Parsimonious representations are ubiquitous in modeling and processing information. Motivated by the recent Multi-Layer Convolutional Sparse Coding (ML-CSC)…”
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On lower iteration complexity bounds for the convex concave saddle point problems
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022Published in Mathematical programming (01.07.2022)“…In this paper, we study the lower iteration complexity bounds for finding the saddle point of a strongly convex and strongly concave saddle point problem: min…”
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Fair and Energy-Efficient Coverage Optimization for UAV Placement Problem in the Cellular Network
ISSN: 0090-6778, 1558-0857Published: New York IEEE 01.06.2022Published in IEEE transactions on communications (01.06.2022)“…Unmanned Aerial Vehicle (UAV) Base Station (BS) placement optimization is an essential operational task to improve the Quality of Service (QoS) in UAV-aided…”
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Optimized first-order methods for smooth convex minimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016Published in Mathematical programming (01.09.2016)“…We introduce new optimized first-order methods for smooth unconstrained convex minimization. Drori and Teboulle (Math Program 145(1–2):451–482, 2014 . doi:…”
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A guide to stochastic optimisation for large-scale inverse problems
ISSN: 0266-5611, 1361-6420Published: IOP Publishing 31.05.2025Published in Inverse problems (31.05.2025)Get full text
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Efficient fair principal component analysis
ISSN: 0885-6125, 1573-0565Published: New York Springer US 01.10.2022Published in Machine learning (01.10.2022)“…It has been shown that dimension reduction methods such as Principal Component Analysis (PCA) may be inherently prone to unfairness and treat data from…”
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Ultra-Low-Complexity Algorithms With Structurally Optimal Multi-Group Multicast Beamforming in Large-Scale Systems
ISSN: 1053-587X, 1941-0476Published: New York IEEE 2023Published in IEEE transactions on signal processing (2023)“…In this work, we propose ultra-low-complexity design solutions for multi-group multicast beamforming in large-scale systems. For the quality-of-service (QoS)…”
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