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With the unprecedented growth of signal processing and machine learning application domains, there has been a tremendous expansion of interest in distributed optimization methods to cope with the underlying large-scale problems.…

Optimization and Control · Mathematics 2022-10-25 Hansi Abeynanda , Chathuranga Weeraddana , G. H. J. Lanel , Carlo Fischione

In this work, we propose the Residual-Weighted Physics-Informed Neural Network (RW-PINN), a new method designed to enhance the accuracy of Physics-Informed Neural Network (PINN) based algorithms. We construct a deep learning framework with…

Numerical Analysis · Mathematics 2025-09-03 K. Murari , P. Roul , S. Sundar

This paper considers the weighted sum rate (WSR) maximized resource allocation (RA) constrained by a system sum power in an orthogonal frequency division multiple access (OFDMA) downlink transmission system assisted by multiple…

Information Theory · Computer Science 2015-05-28 Tao Wang , Luc Vandendorpe

Deep neural networks are typically trained by optimizing a loss function with an SGD variant, in conjunction with a decaying learning rate, until convergence. We show that simple averaging of multiple points along the trajectory of SGD,…

Machine Learning · Computer Science 2019-02-26 Pavel Izmailov , Dmitrii Podoprikhin , Timur Garipov , Dmitry Vetrov , Andrew Gordon Wilson

This paper considers weighted sum rate maximization of multiuser multiple-input single-output interference channel (MISO-IFC) under outage constraints. The outage-constrained weighted sum rate maximization problem is a nonconvex…

Information Theory · Computer Science 2010-10-25 Wei-Chiang Li , Tsung-Hui Chang , Che Lin , Chong-Yung Chi

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

We study the problem of optimal power allocation in a single-hop ad hoc wireless network. In solving this problem, we depart from classical purely model-based approaches and propose a hybrid method that retains key modeling elements in…

Signal Processing · Electrical Eng. & Systems 2021-04-12 Arindam Chowdhury , Gunjan Verma , Chirag Rao , Ananthram Swami , Santiago Segarra

The development of efficient exact and approximate algorithms for probabilistic inference is a long-standing goal of artificial intelligence research. Whereas substantial progress has been made in dealing with purely discrete or purely…

Artificial Intelligence · Computer Science 2024-10-23 Giuseppe Spallitta , Gabriele Masina , Paolo Morettin , Andrea Passerini , Roberto Sebastiani

We consider a network of agents, each with its own private cost consisting of the sum of two possibly nonsmooth convex functions, one of which is composed with a linear operator. At every iteration each agent performs local calculations and…

Optimization and Control · Mathematics 2017-03-14 Puya Latafat , Lorenzo Stella , Panagiotis Patrinos

Edge intelligence has emerged as a promising strategy to deliver low-latency and ubiquitous services for mobile devices. Recent advances in fine-tuning mechanisms of foundation models have enabled edge intelligence by integrating low-rank…

Signal Processing · Electrical Eng. & Systems 2025-09-25 Jingyi Wang , Zhongyuan Zhao , Qingtian Wang , Zexu Li , Yue Wang , Tony Q. S. Quek

Nonconvex-nonconcave minimax optimization has gained widespread interest over the last decade. However, most existing works focus on variants of gradient descent-ascent (GDA) algorithms, which are only applicable to smooth nonconvex-concave…

Optimization and Control · Mathematics 2025-01-17 Jiajin Li , Linglingzhi Zhu , Anthony Man-Cho So

Radio resource sharing mechanisms are key to ensuring good performance in wireless networks. In their seminal paper \cite{tassiulas1}, Tassiulas and Ephremides introduced the Maximum Weighted Scheduling algorithm, and proved its…

Information Theory · Computer Science 2013-05-03 Prasanna Chaporkar , Alexandre Proutiere

In this work, we study decentralized convex constrained optimization problems in networks. We focus on the dual averaging-based algorithmic framework that is well-documented to be superior in handling constraints and complex communication…

Optimization and Control · Mathematics 2022-08-16 Changxin Liu , Yang Shi , Huiping Li , Wenli Du

As one of the most popular linear subspace learning methods, the Linear Discriminant Analysis (LDA) method has been widely studied in machine learning community and applied to many scientific applications. Traditional LDA minimizes the…

Machine Learning · Computer Science 2019-07-02 Feiping Nie , Hua Wang , Zheng Wang , Heng Huang

In this paper we combine the stochastic variance reduced gradient (SVRG) method [17] with the primal dual fixed point method (PDFP) proposed in [7] to solve a sum of two convex functions and one of which is linearly composite. This type of…

Optimization and Control · Mathematics 2020-07-24 Ya-Nan Zhu , Xiaoqun Zhang

We study the tradeoff between the sum rate and the error probability in downlink of wireless networks. Using the recent results on the achievable rates of finite-length codewords, the problem is cast as a joint optimization of the network…

Information Theory · Computer Science 2018-01-23 Mahdi Haghifam , Mohammad Robat Mili , Behrooz Makki , Masoumeh Nasiri-Kenari , Tommy Svensson

We propose a new randomized algorithm for solving convex optimization problems that have a large number of constraints (with high probability). Existing methods like interior-point or Newton-type algorithms are hard to apply to such…

Optimization and Control · Mathematics 2020-03-25 Bo Wei , William B. Haskell , Sixiang Zhao

Anomaly detection (AD) is increasingly recognized as a key component for ensuring the resilience of future communication systems. While deep learning has shown state-of-the-art AD performance, its application in critical systems is hindered…

Machine Learning · Computer Science 2025-10-29 Lukas Schynol , Marius Pesavento

While deep learning (DL)-based methods have achieved remarkable success in continuous wireless resource allocation, efficient solutions for problems involving discrete variables remain challenging. This is primarily due to the zero-gradient…

Machine Learning · Computer Science 2026-03-23 Yikun Wang , Yang Li , Yik-Chung Wu , Rui Zhang

In this paper, a rate-splitting multiple access (RSMA) based joint optimization framework for the space-air-ground integrated network (SAGIN) is proposed, where the satellite and base stations employ uniform planar array (UPA) antennas for…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Jian He , Cong Zhou , Shuo Shi