Discerning and Enhancing the Weighted Sum-Rate Maximization Algorithms in Communications Article Swipe

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Zepeng Zhang , Ziping Zhao , Kaiming Shen , Daniel P. Palomar , Wei Yu ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2311.04546

Weighted sum-rate (WSR) maximization plays a critical role in communication system design. This paper examines three optimization methods for WSR maximization, which ensure convergence to stationary points: two block coordinate ascent (BCA) algorithms, namely, weighted sum-minimum mean-square error (WMMSE) and WSR maximization via fractional programming (WSR-FP), along with a minorization-maximization (MM) algorithm, WSR maximization via MM (WSR-MM). Our contributions are threefold. Firstly, we delineate the exact relationships among WMMSE, WSR-FP, and WSR-MM, which, despite their extensive use in the literature, lack a comprehensive comparative study. By probing the theoretical underpinnings linking the BCA and MM algorithmic frameworks, we reveal the direct correlations between the equivalent transformation techniques, essential to the development of WMMSE and WSR-FP, and the surrogate functions pivotal to WSR-MM. Secondly, we propose a novel algorithm, WSR-MM+, harnessing the flexibility of selecting surrogate functions in MM framework. By circumventing the repeated matrix inversions in the search for optimal Lagrange multipliers in existing algorithms, WSR-MM+ significantly reduces the computational load per iteration and accelerates convergence. Thirdly, we reconceptualize WSR-MM+ within the BCA framework, introducing a new equivalent transform, which gives rise to an enhanced version of WSR-FP, named as WSR-FP+. We further demonstrate that WSR-MM+ can be construed as the basic gradient projection method. This perspective yields a deeper understanding into its computational intricacies. Numerical simulations corroborate the connections between WMMSE, WSR-FP, and WSR-MM and confirm the efficacy of the proposed WSR-MM+ and WSR-FP+ algorithms.

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Expectation–Maximization Algorithm

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Computer Science

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Maximization Algorithm Flexibility (engineering) Convergence (economics) Mathematics Perspective (graphical) Mathematical optimization Block (permutation group theory) Computer science Transformation (genetics) Statistics Combinatorics Artificial intelligence Chemistry Economic growth Economics Biochemistry Gene

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2311.04546
PDF: https://arxiv.org/pdf/2311.04546
OA Status: green
Cited By: 1
Related Works: 10
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DOI: https://doi.org/10.48550/arxiv.2311.04546

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Title: Discerning and Enhancing the Weighted Sum-Rate Maximization Algorithms in Communications

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Language: en

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Publication year: 2023

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Publication date: 2023-11-08

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Authors: Zepeng Zhang, Ziping Zhao, Kaiming Shen, Daniel P. Palomar, Wei Yu

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Landing page: https://arxiv.org/abs/2311.04546

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Concepts: Maximization, Algorithm, Flexibility (engineering), Convergence (economics), Mathematics, Perspective (graphical), Mathematical optimization, Block (permutation group theory), Computer science, Transformation (genetics), Statistics, Combinatorics, Artificial intelligence, Chemistry, Economic growth, Economics, Biochemistry, Gene

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Cited by: 1

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abstract_inverted_index.coordinate	29
abstract_inverted_index.equivalent	104, 177
abstract_inverted_index.fractional	43
abstract_inverted_index.framework,	173
abstract_inverted_index.framework.	138
abstract_inverted_index.harnessing	129
abstract_inverted_index.inversions	144
abstract_inverted_index.projection	203
abstract_inverted_index.stationary	25
abstract_inverted_index.threefold.	60
abstract_inverted_index.transform,	178
abstract_inverted_index.accelerates	164
abstract_inverted_index.algorithmic	95
abstract_inverted_index.algorithms,	32, 154
abstract_inverted_index.algorithms.	235
abstract_inverted_index.comparative	83
abstract_inverted_index.connections	219
abstract_inverted_index.convergence	23
abstract_inverted_index.corroborate	217
abstract_inverted_index.demonstrate	193
abstract_inverted_index.development	110
abstract_inverted_index.flexibility	131
abstract_inverted_index.frameworks,	96
abstract_inverted_index.introducing	174
abstract_inverted_index.literature,	79
abstract_inverted_index.mean-square	36
abstract_inverted_index.multipliers	151
abstract_inverted_index.perspective	206
abstract_inverted_index.programming	44
abstract_inverted_index.simulations	216
abstract_inverted_index.sum-minimum	35
abstract_inverted_index.techniques,	106
abstract_inverted_index.theoretical	88
abstract_inverted_index.convergence.	165
abstract_inverted_index.correlations	101
abstract_inverted_index.intricacies.	214
abstract_inverted_index.maximization	3, 41, 53
abstract_inverted_index.optimization	16
abstract_inverted_index.circumventing	140
abstract_inverted_index.communication	9
abstract_inverted_index.comprehensive	82
abstract_inverted_index.computational	159, 213
abstract_inverted_index.contributions	58
abstract_inverted_index.maximization,	20
abstract_inverted_index.relationships	66
abstract_inverted_index.significantly	156
abstract_inverted_index.underpinnings	89
abstract_inverted_index.understanding	210
abstract_inverted_index.transformation	105
abstract_inverted_index.reconceptualize	168
abstract_inverted_index.minorization-maximization	49
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	5
citation_normalized_percentile