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Fractional programming (FP) is a branch of mathematical optimization that deals with the optimization of ratios. It is an invaluable tool for signal processing and machine learning, because many key metrics in these fields are fractionally…

Information Theory · Computer Science 2025-06-03 Kaiming Shen , Wei Yu

This two-part paper explores the use of FP in the design and optimization of communication systems. Part I of this paper focuses on FP theory and on solving continuous problems. The main theoretical contribution is a novel quadratic…

Information Theory · Computer Science 2018-05-09 Kaiming Shen , Wei Yu

This work proposes a mixed learning-based and optimization-based approach to the weighted-sum-rates beamforming problem in a multiple-input multiple-output (MIMO) wireless network. The conventional methods, i.e., the fractional programming…

Information Theory · Computer Science 2026-01-07 Jianhang Zhu , Tsung-Hui Chang , Liyao Xiang , Kaiming Shen

This two-part paper develops novel methodologies for using fractional programming (FP) techniques to design and optimize communication systems. Part I of this paper proposes a new quadratic transform for FP and treats its application for…

Information Theory · Computer Science 2018-05-09 Kaiming Shen , Wei Yu

Fractional programming (FP) arises in various communications and signal processing problems because several key quantities in the field are fractionally structured, e.g., the Cram\'{e}r-Rao bound, the Fisher information, and the…

Information Theory · Computer Science 2024-05-29 Kaiming Shen , Ziping Zhao , Yannan Chen , Zepeng Zhang , Hei Victor Cheng

The data heterogeneity across devices and the limited communication resources, e.g., bandwidth and energy, are two of the main bottlenecks for wireless federated learning (FL). To tackle these challenges, we first devise a novel FL…

Machine Learning · Computer Science 2023-02-21 Zhixiong Chen , Wenqiang Yi , Arumugam Nallanathan , Geoffrey Ye Li

Energy efficient communication technology has attracted much attention due to the explosive growth of energy consumption in current wireless communication systems. In this letter we focus on fairness-based energy efficiency and aim to…

Information Theory · Computer Science 2016-11-17 Shiwen He , Yongming Huang , Shi Jin , Fei Yu , Luxi Yang

Interference management is a fundamental issue in device-to-device (D2D) communications whenever the transmitter-and-receiver pairs are located in close proximity and frequencies are fully reused, so active links may severely interfere with…

Information Theory · Computer Science 2019-04-02 Kaiming Shen , Wei Yu , Licheng Zhao , Daniel P. Palomar

Multiplicative Programming (MP) pertains to a spectrum of optimization problems that involve product term(s). As computational paradigms of communication systems continue to evolve, particularly concerning the offloading strategies of…

Computational Complexity · Computer Science 2023-12-12 Yitong Wang , Chang Liu , Jun Zhao

An efficient framework is conceived for fractional matrix programming (FMP) optimization problems (OPs) namely for minimization and maximization. In each generic OP, either the objective or the constraints are functions of multiple…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Mohammad Soleymani , Eduard Jorswieck , Robert Schober , Lajos Hanzo

The max-min fairness (MMF) problem in rate-splitting multiple access (RSMA) is known to be challenging due to its non-convex and non-smooth nature, as well as the coupled beamforming and common rate variables. Conventional algorithms to…

Information Theory · Computer Science 2025-07-21 Facheng Luo , Yijie Mao

In the multi-cell multiuser multi-input multi-output (MU-MIMO) systems, fractional programming (FP) has demonstrated considerable effectiveness in optimizing beamforming vectors, yet it suffers from high computational complexity. Recent…

Signal Processing · Electrical Eng. & Systems 2026-01-13 Zihan Jiao , Xinping Yi , Shi Jin

Reducing the fuel consumption within a power network is crucial to enhance the overall system efficiency and minimize operating costs. Fuel consumption minimization can be achieved through different optimization techniques where the output…

Optimization and Control · Mathematics 2023-10-30 Md Isfakul Anam , Tuyen Vu

This monograph presents a theoretical background and a broad introduction to the Min-Max Framework for Majorization-Minimization (MM4MM), an algorithmic methodology for solving minimization problems by formulating them as min-max problems…

Signal Processing · Electrical Eng. & Systems 2024-11-13 Astha Saini , Petre Stoica , Prabhu Babu , Aakash Arora

The distributed adaptive signal fusion (DASF) framework allows to solve spatial filtering optimization problems in a distributed and adaptive fashion over a bandwidth-constrained wireless sensor network. The DASF algorithm requires each…

Signal Processing · Electrical Eng. & Systems 2025-05-02 Cem Ates Musluoglu , Alexander Bertrand

This paper seeks an efficient algorithm for stochastic precoding to maximize the long-term average weighted sum rates throughout a multiple-input multiple-output (MIMO) network. Unlike many existing works that assume a particular…

Information Theory · Computer Science 2026-03-10 Wenyu Wang , Kaiming Shen

Improving throughput for cell-edge users through coordinated resource allocation has been a long-standing driver of research in wireless cellular networks. While a variety of wireless resource management problems focus on sum utility,…

Information Theory · Computer Science 2024-03-26 Ahmad Ali Khan , Raviraj Adve

This paper concerns the coordinate multi-cell beamforming design for integrated sensing and communications (ISAC). In particular, we assume that each base station (BS) has massive antennas. The optimization objective is to maximize a…

Information Theory · Computer Science 2025-03-31 Yannan Chen , Yi Feng , Xiaoyang Li , Licheng Zhao , Kaiming Shen

The sixth-generation (6G) of wireless communication networks aims to leverage artificial intelligence tools for efficient and robust network optimization. This is especially the case since traditional optimization methods often face high…

Information Theory · Computer Science 2026-02-09 Anh Thi Bui , Robert-Jeron Reifert , Hayssam Dahrouj , Aydin Sezgin

Part I of this two-part paper focused on the formulation of percentile problems, complexity analysis, and development of power control algorithms via the quadratic fractional transform (QFT) and logarithmic fractional transform (LFT) for…

Information Theory · Computer Science 2024-03-26 Ahmad Ali Khan , Raviraj Adve
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