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Accelerating Quadratic Transform and WMMSE 加速二次变换和 WMMSE
Kaiming Shen;Ziping Zhao;Yannan Chen;Zepeng Zhang;Hei Victor Cheng
Fractional programming (FP) arises in various communications and signal processing problems because several key quantities in these fields are fractionally structured, e.g., the Cramér-Rao bound, the Fisher information, and the signal-to-interference-plus-noise ratio (SINR). A recently proposed method called the quadratic transform has been applied to the FP problems extensively. The main contributions of the present paper are two-fold. First, we investigate how fast the quadratic transform converges. To the best of our knowledge, this is the first work that analyzes the convergence rate for the quadratic transform as well as its special case the weighted minimum mean square error (WMMSE) algorithm. Second, we accelerate the existing quadratic transform via a novel use of Nesterov’s extrapolation scheme. Specifically, by generalizing the minorization-maximization (MM) approach, we establish a subtle connection between the quadratic transform and the gradient projection, thereby further incorporating the gradient extrapolation into the quadratic transform to make it converge more rapidly. Moreover, the paper showcases the practical use of the accelerated quadratic transform with two frontier wireless applications: integrated sensing and communications (ISAC) and massive multiple-input multiple-output (MIMO).
分数编程(FP)出现在各种通信和信号处理问题中,因为这些领域中的几个关键量是分数结构的,如克拉梅尔-拉奥约束、费雪信息和信号干扰加噪声比(SINR)。最近提出的一种名为二次变换的方法已被广泛应用于 FP 问题。本文的主要贡献有两个方面。首先,我们研究了二次变换的收敛速度。据我们所知,这是第一部分析二次变换收敛速度的著作,也是分析其特殊情况加权最小均方误差 (WMMSE) 算法的著作。其次,我们通过对内斯特洛夫外推法的新颖使用,加速了现有的二次变换。具体地说,通过推广最小化-最大化(MM)方法,我们在二次变换和梯度投影之间建立了微妙的联系,从而进一步将梯度外推法融入二次变换,使其收敛得更快。此外,论文还展示了加速二次变换在两个前沿无线应用中的实际应用:集成传感与通信(ISAC)和大规模多输入多输出(MIMO)。
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引用次数: 0
Fair Beam Allocations Through Reconfigurable Intelligent Surfaces 通过可重构智能表面实现公平波束分配
Rujing Xiong;Ke Yin;Tiebin Mi;Jialong Lu;Kai Wan;Robert Caiming Qiu
A fair beam allocation framework through reconfigurable intelligent surfaces (RISs) is proposed, incorporating the Max-min criterion. This framework focuses on designing explicit beamforming functionalities through optimization. Firstly, realistic models, grounded in geometrical optics, are introduced to characterize the input/output behaviors of RISs, effectively bridging the gap between the requirements on explicit beamforming operations and their practical implementations. Then, a highly efficient algorithm is developed for Max-min optimizations involving quadratic forms. Leveraging the Moreau-Yosida approximation, we successfully reformulate the original problem and propose an iterative algorithm to obtain the optimal solution. A comprehensive analysis of the algorithm’s convergence is provided. Importantly, this approach exhibits excellent extensibility, making it readily applicable to address a broader class of Max-min optimization problems. Finally, numerical and prototype experiments are conducted to validate the effectiveness of the framework. With the proposed beam allocation framework and algorithm, we clarify that several crucial redistribution functionalities of RISs, such as explicit beam-splitting, fair beam allocation, and wide-beam generation, can be effectively implemented. These explicit beamforming functionalities have not been thoroughly examined previously.
本文提出了一种通过可重构智能表面(RIS)进行公平波束分配的框架,并结合了最大最小准则。该框架侧重于通过优化设计明确的波束成形功能。首先,引入了以几何光学为基础的现实模型来描述 RIS 的输入/输出行为,有效地缩小了显式波束成形操作的要求与实际实现之间的差距。然后,针对涉及二次方形式的最大最小优化开发了一种高效算法。利用 Moreau-Yosida 近似,我们成功地重新表述了原始问题,并提出了一种获得最优解的迭代算法。我们对算法的收敛性进行了全面分析。重要的是,这种方法具有极佳的可扩展性,使其可以随时用于解决更广泛的最大最小值优化问题。最后,还进行了数值和原型实验,以验证该框架的有效性。通过提出的波束分配框架和算法,我们明确了 RIS 的几个关键的再分配功能,如显式分束、公平波束分配和宽波束生成,都可以有效地实现。这些显式波束成形功能以前从未得到过深入研究。
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引用次数: 0
Avoiding Self-Interference in Megaconstellations Through Cooperative Satellite Routing and Frequency Assignment 通过合作卫星路由和频率分配避免巨型恒星中的自干扰
Nils Pachler;Edward F. Crawley;Bruce G. Cameron
With the reduced distance between satellites in modern megaconstellations, the potential for self-interference has emerged as a critical challenge that demands strategic solutions from satellite operators. The goal of this paper is to propose a cooperative framework that combines the Satellite Routing (i.e., mapping of beams to satellites) and Frequency Assignment (i.e., mapping of frequency spectrum to beams) strategies to mitigate self-interference both within and between satellites. This approach stands in contrast to current practices found in the literature, which address each problem independently and solely focus on intra-satellite interference. This study presents a novel methodology for addressing the Satellite Routing problem, specifically tailored for modern constellations to maximize capacity while effectively mitigating self-interference through the use of Integer Optimization. By combining this method with established Frequency Assignment techniques, the results demonstrate an increase in throughput of up to 138% for constellations such as SpaceX Starlink. Notably, the study reveals that relying on individual approaches to tackle interference may lead to undesired outcomes, underscoring the advantages of a cooperative framework. Through simulations, the study highlights the practicality and applicability of the proposed method under realistic operational conditions.
随着现代超大型卫星群中卫星之间距离的缩短,潜在的自干扰已成为一项严峻挑战,需要卫星运营商提供战略性解决方案。本文的目标是提出一个合作框架,将卫星路由(即波束与卫星的映射)和频率分配(即频谱与波束的映射)策略结合起来,以减轻卫星内部和卫星之间的自干扰。这种方法与目前文献中的做法形成鲜明对比,后者独立解决每个问题,只关注卫星内部干扰。本研究提出了一种解决卫星路由问题的新方法,专门为现代星座量身定制,通过使用整数优化技术最大限度地提高容量,同时有效缓解自干扰。通过将该方法与成熟的频率分配技术相结合,结果表明 SpaceX Starlink 等星座的吞吐量最多可提高 138%。值得注意的是,该研究揭示了依靠单独方法解决干扰问题可能会导致不理想的结果,从而突出了合作框架的优势。通过模拟,该研究强调了拟议方法在现实操作条件下的实用性和适用性。
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引用次数: 0
AoI Optimization in Multi-Source Update Network Systems Under Stochastic Energy Harvesting Model 随机能量收集模型下多源更新网络系统中的 AoI 优化
Sujunjie Sun;Weiwei Wu;Chenchen Fu;Xiaoxing Qiu;Junzhou Luo;Jianping Wang
This work studies the Age-of-Information (AoI) optimization problem in the information-gathering wireless network systems, where time-sensitive data updates are collected from multiple information sources, and each source is equipped with a battery and harvests energy from ambient energy, such as solar, wind, etc. The arrival of the harvested energy can be modeled as the stochastic process, and an information source can deliver its data update only when 1) there is energy in the battery, and 2) this source is selected to transmit its data update based on the transmission policy. This work analyzes how the energy arrival pattern of each source and the transmission policy jointly influence the average AoI among multiple sources. To the best of our knowledge, this is the first work that formally develops the closed-form expression of average AoI in the Stationary Randomized Sampling (SRS) policy space and proposes approximation schemes with constant ratios in multi-source systems under a stochastic energy harvesting model. More specifically, under the perfect wireless channel, the closed-form expression of AoI under the SRS policy space with arbitrary finite battery size is developed. Based on the result, we propose the Max Energy-Aware Weight (MEAW) policy, which is proven to achieve 2-approximation in the full policy space. Under the uncertain wireless channel, we develop the closed-form expression of Whittle’s index to address the target problem. Based on the result, we propose the Energy-aware Whittle’s index policy (EWIP) and prove its approximate performance by using the Lyapunov optimization techniques. Experimental results show that MEAW under the perfect channel setting and EWIP under the uncertain channel setting both perform close to the theoretical lower bound and outperform the state-of-the-art schemes.
这项工作研究的是信息收集无线网络系统中的信息年龄(AoI)优化问题,在这种系统中,从多个信息源收集对时间敏感的数据更新,每个信息源都配有电池,并从太阳能、风能等环境能源中获取能量。所采集能量的到达可被模拟为随机过程,只有当 1) 电池中有能量,2) 根据传输策略选择该信息源传输其数据更新时,信息源才能传输其数据更新。这项工作分析了每个信息源的能量到达模式和传输策略如何共同影响多个信息源之间的平均 AoI。据我们所知,这是第一部正式提出静态随机抽样(SRS)策略空间中平均 AoI 的闭式表达式,并在随机能量采集模型下提出多源系统中具有恒定比率的近似方案的著作。更具体地说,在完美无线信道条件下,建立了任意有限电池容量的 SRS 策略空间下的 AoI 闭式表达式。在此基础上,我们提出了最大能量感知权重(MEAW)策略,并证明该策略能在整个策略空间内实现 2 近似值。在不确定的无线信道下,我们建立了惠特尔指数的闭式表达式来解决目标问题。在此基础上,我们提出了能量感知惠特尔指数策略(EWIP),并利用 Lyapunov 优化技术证明了其近似性能。实验结果表明,完美信道设置下的 MEAW 和不确定信道设置下的 EWIP 性能都接近理论下限,并优于最先进的方案。
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引用次数: 0
MU-MIMO Beamforming With Limited Channel Data Samples 采用有限信道数据样本的多路多输入多输出波束成形
Shaoran Li;Nan Jiang;Yongce Chen;Weijun Xie;Wenjing Lou;Y. Thomas Hou
Channel State Information (CSI) is a critical piece of information for MU-MIMO beamforming. However, CSI estimation errors are inevitable in practice. The random and uncertain nature of CSI estimation errors poses significant challenges to MU-MIMO beamforming. State-of-the-art works addressing such a CSI uncertainty can be categorized into model-based and data-driven works, both of which have limitations when providing a performance guarantee to the users. In contrast, this paper presents Limited Sample-based Beamforming (LSBF)—a novel approach to MU-MIMO beamforming that only uses a limited number of CSI data samples (without assuming any knowledge of channel distributions). Thanks to the use of CSI data samples, LSBF enjoys flexibility similar to data-driven approaches and can provide a theoretical guarantee to the users—a major strength of model-based approaches. To achieve both, LSBF employs chance-constrained programming (CCP) and utilizes the $infty $ -Wasserstein ambiguity set to bridge the unknown CSI distribution with limited CSI samples. Through problem decomposition and a novel bilevel formulation for each subproblem based on limited CSI data samples, LSBF solves each subproblem with a binary search and convex approximation. We show that LSBF significantly improves the network performance while providing a probabilistic data rate guarantee to the users.
信道状态信息(CSI)是 MU-MIMO 波束成形的关键信息。然而,CSI 估计误差在实践中是不可避免的。CSI 估计误差的随机性和不确定性给 MU-MIMO 波束成形带来了巨大挑战。解决这种 CSI 不确定性的最先进技术可分为基于模型的技术和数据驱动的技术,这两种技术在为用户提供性能保证时都有局限性。与此相反,本文提出了基于有限样本的波束成形(LSBF)--一种新颖的多路多输入多输出波束成形方法,它只使用有限数量的 CSI 数据样本(不假定任何信道分布知识)。由于使用了 CSI 数据样本,LSBF 具有与数据驱动方法类似的灵活性,并能为用户提供理论保证--这是基于模型方法的主要优势。为了实现这两点,LSBF 采用了机会约束编程(CCP),并利用 $infty $ -Wasserstein 模糊集来弥合 CSI 样本有限的未知 CSI 分布。基于有限的 CSI 数据样本,LSBF 对每个子问题进行了问题分解和新颖的双层表述,并通过二元搜索和凸近似解决了每个子问题。我们的研究表明,LSBF 能显著提高网络性能,同时为用户提供概率数据速率保证。
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引用次数: 0
Decoding of Polar Codes Using Quadratic Unconstrained Binary Optimization 利用二次无约束二进制优化对极性编码进行解码
Huayi Zhou;Ryan Seah;Marwan Jalaleddine;Warren J. Gross
Polar codes encounter challenges in decoder complexity while preserving good error-correction properties. Instead of conventional decoders, a quantum annealer (QA) decoder has been proposed to explore untapped possibilities. For future QA applications, a crucial prerequisite is transforming the optimization problem into quadratic unconstrained binary optimization (QUBO) form. However, existing QUBO forms for polar decoding result in suboptimal frame error rate (FER) performance for codes exceeding 8 bits. This paper redesigns the QUBO form for polar decoding. We first introduce a novel receiver constraint modeled by the binary cross-entropy (BCE) function. Utilizing a simulated annealing (SA) solver with the proposed QUBO form with BCE (QUBO-BCE) achieves maximum-likelihood (ML) performance for a code length of 32 bits. Next, to reduce the number of variables, we remove the frozen variables and introduce a simplified QUBO-BCE form (SQUBO-BCE). Additionally, CRC polynomials are modelled into constraints in QUBO form, resulting in a CRC-aided SQUBO-BCE (CA-SQUBO-BCE) form for polar decoding to further enhance the FER. Numerical results demonstrate that SQUBO-BCE achieves ML performance and reduces up to 61.5% of variables compared to QUBO-BCE. Furthermore, the proposed CA-SQUBO-BCE achieves near CRC-aided ML performance. The proposed SQUBO-BCE requires the lowest number of SA processes to reach a specific FER.
极地编码在保持良好纠错特性的同时,在解码器复杂性方面也遇到了挑战。与传统解码器相比,量子退火器(QA)解码器被提出来探索尚未开发的可能性。对于未来的 QA 应用,一个重要的先决条件是将优化问题转化为二次无约束二元优化(QUBO)形式。然而,现有的极性解码 QUBO 形式会导致超过 8 比特的编码的帧误码率(FER)性能不理想。本文重新设计了极性解码的 QUBO 形式。我们首先引入了一种以二元交叉熵(BCE)函数为模型的新型接收器约束。利用模拟退火(SA)求解器和所提出的带 BCE 的 QUBO 形式(QUBO-BCE),在代码长度为 32 位时实现了最大似然(ML)性能。接下来,为了减少变量数量,我们删除了冻结变量,并引入了简化的 QUBO-BCE 形式(SQUBO-BCE)。此外,CRC 多项式被模拟为 QUBO 形式中的约束条件,从而产生了用于极性解码的 CRC 辅助 SQUBO-BCE 形式(CA-SQUBO-BCE),进一步提高了 FER。数值结果表明,与 QUBO-BCE 相比,SQUBO-BCE 实现了 ML 性能,并减少了高达 61.5% 的变量。此外,所提出的 CA-SQUBO-BCE 达到了接近 CRC 辅助的 ML 性能。提议的 SQUBO-BCE 需要最少的 SA 进程来达到特定的 FER。
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引用次数: 0
IREE Oriented Green 6G Networks: A Radial Basis Function-Based Approach 面向 IREE 的绿色 6G 网络:基于径向基函数的方法
Tao Yu;Pengbo Huang;Shunqing Zhang;Xiaojing Chen;Yanzan Sun;Xin Wang
In order to provide design guidelines for energy efficient 6G networks, we propose a novel radial basis function (RBF) based optimization framework to maximize the integrated relative energy efficiency (IREE) metric. Different from the conventional energy efficient optimization schemes, we maximize the transformed utility for any given IREE using spectrum efficiency oriented RBF network and gradually update the IREE metric using proposed Dinkelbach’s algorithm. The existence and uniqueness properties of RBF networks are provided, and the convergence conditions of the entire framework are discussed as well. Through some numerical experiments, we show that the proposed IREE outperforms many existing SE or EE oriented designs and find a new Jensen-Shannon (JS) divergence constrained region, which behaves differently from the conventional EE-SE region. Meanwhile, by studying IREE-SE trade-offs under different traffic requirements, we suggest that network operators shall spend more efforts to balance the distributions of traffic demands and network capacities in order to improve the IREE performance, especially when the spatial variations of the traffic distribution are significant.
为了提供高能效 6G 网络的设计指南,我们提出了一种基于径向基函数 (RBF) 的新型优化框架,以最大化综合相对能效 (IREE) 指标。与传统的高能效优化方案不同,我们使用面向频谱效率的 RBF 网络最大化任何给定 IREE 的转换效用,并使用提议的 Dinkelbach 算法逐步更新 IREE 指标。我们提供了 RBF 网络的存在性和唯一性,并讨论了整个框架的收敛条件。通过一些数值实验,我们发现所提出的 IREE 优于许多现有的面向 SE 或 EE 的设计,并发现了一个新的 Jensen-Shannon (JS) 发散约束区域,其表现与传统的 EE-SE 区域不同。同时,通过研究不同流量需求下 IREE-SE 的权衡,我们建议网络运营商应更努力地平衡流量需求和网络容量的分布,以提高 IREE 性能,尤其是当流量分布的空间变化较大时。
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引用次数: 0
Fast-Convergent Wireless Federated Learning: A Voting-Based TopK Model Compression Approach 快速收敛的无线联合学习:基于投票的 TopK 模型压缩方法
Xiaoxin Su;Yipeng Zhou;Laizhong Cui;Quan Z. Sheng;Yinggui Wang;Song Guo
Federated learning (FL) has been extensively exploited in the training of machine learning models to preserve data privacy. In particular, wireless FL enables multiple clients to collaboratively train models by sharing model updates via wireless communication without exposing raw data. The state-of-the-art wireless FL advocates efficient aggregation of model updates from multiple clients by over-the-air computing. However, a significant deficiency of over-the-air aggregation lies in the infeasibility of TopK model compression given that top model updates cannot be aggregated directly before they are aligned according to their indices. In view of the fact that TopK can greatly accelerate FL, we design a novel wireless FL with voting based TopK algorithm, namely WFL-VTopK, so that top model updates can be aggregated by over-the-air computing directly. Specifically, there are two phases in WFL-VTopK. In Phase 1, clients vote their top model updates, based on which global top model updates can be efficiently identified. In Phase 2, clients formally upload global top model updates so that they can be directly aggregated by over-the-air computing. Furthermore, the convergence of WFL-VTopK is theoretically guaranteed under non-convex loss. Based on the convergence of WFL-VTopK, we optimize model utility subjecting to training time and energy constraints. To validate the superiority of WFL-VTopK, we extensively conduct experiments with real datasets under wireless communication. The experimental results demonstrate that WFL-VTopK can effectively aggregate models by only communicating 1%-2% top models updates, and hence significantly outperforms the state-of-the-art baselines. By significantly reducing the wireless communication traffic, our work paves the road to train large models in wireless FL.
联合学习(FL)已被广泛应用于机器学习模型的训练,以保护数据隐私。其中,无线联合学习通过无线通信共享模型更新,使多个客户端能够协同训练模型,而不会暴露原始数据。最先进的无线 FL 技术主张通过空中计算对来自多个客户端的模型更新进行高效聚合。然而,空中聚合的一个重大缺陷在于 TopK 模型压缩的不可行性,因为顶层模型更新在根据其指数对齐之前无法直接聚合。鉴于 TopK 可以大大加快 FL 的速度,我们设计了一种新颖的基于投票的 TopK 无线 FL 算法,即 WFL-VTopK,从而可以通过空中计算直接聚合顶层模型更新。具体来说,WFL-VTopK分为两个阶段。在第一阶段,客户对其顶级模型更新进行投票,并在此基础上有效识别全球顶级模型更新。在第二阶段,客户端正式上传全球顶级模型更新,以便通过空中计算直接聚合。此外,WFL-VTopK 的收敛性在非凸损耗条件下得到了理论保证。基于 WFL-VTopK 的收敛性,我们优化了受训练时间和能量限制的模型效用。为了验证 WFL-VTopK 的优越性,我们利用无线通信下的真实数据集进行了大量实验。实验结果表明,WFL-VTopK 只需传输 1%-2%的顶级模型更新,就能有效地聚合模型,因此显著优于最先进的基线。通过大幅减少无线通信流量,我们的工作为在无线 FL 中训练大型模型铺平了道路。
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引用次数: 0
FedAL: Black-Box Federated Knowledge Distillation Enabled by Adversarial Learning FedAL:通过对抗性学习实现黑盒子联邦知识蒸馏
Pengchao Han;Xingyan Shi;Jianwei Huang
Knowledge distillation (KD) can enable collaborative learning among distributed clients that have different model architectures and do not share their local data and model parameters with others. Each client updates its local model using the average model output/feature of all client models as the target, known as federated KD. However, existing federated KD methods often do not perform well when clients’ local models are trained with heterogeneous local datasets. In this paper, we propose Federated knowledge distillation enabled by Adversarial Learning (FedAL) to address the data heterogeneity among clients. First, to alleviate the local model output divergence across clients caused by data heterogeneity, the server acts as a discriminator to guide clients’ local model training to achieve consensus model outputs among clients through a min-max game between clients and the discriminator. Moreover, catastrophic forgetting may happen during the clients’ local training and global knowledge transfer due to clients’ heterogeneous local data. Towards this challenge, we design the less-forgetting regularization for both local training and global knowledge transfer to guarantee clients’ ability to transfer/learn knowledge to/from others. Experimental results show that FedAL and its variants achieve higher accuracy than other federated KD baselines.
知识提炼(KD)可以使具有不同模型架构且不与他人共享本地数据和模型参数的分布式客户端之间进行协作学习。每个客户端以所有客户端模型的平均模型输出/特征为目标更新其本地模型,这就是所谓的联合 KD。然而,当客户机的本地模型使用异构本地数据集进行训练时,现有的联合 KD 方法往往表现不佳。在本文中,我们提出了由对抗学习(Adversarial Learning,FedAL)支持的联合知识提炼(Federated Knowledge Distillation enabled by Adversarial Learning,FedAL)来解决客户端之间的数据异构问题。首先,为缓解数据异构造成的客户端间本地模型输出差异,服务器作为判别器,指导客户端的本地模型训练,通过客户端与判别器之间的最小-最大博弈,实现客户端间的一致模型输出。此外,在客户端的本地训练和全局知识转移过程中,由于客户端的本地数据异构,可能会发生灾难性遗忘。针对这一挑战,我们为本地训练和全局知识转移设计了较少遗忘的正则化,以保证客户向/从他人转移/学习知识的能力。实验结果表明,与其他联合 KD 基线相比,FedAL 及其变体实现了更高的准确性。
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引用次数: 0
IEEE Communications Society Information IEEE 通信学会信息
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引用次数: 0
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