arXiv:2602.09848eess.SPcs.LG2026-02被引 1

统合统计、优化与学习中的鲁棒性理论,指导无线系统应对不确定性

Robust Processing and Learning: Principles, Methods, and Wireless Applications

  • 从统计、优化到机器学习统一建模鲁棒性机制
  • 解决无线传感通信中模型失配与数据稀缺等核心挑战
  • 适合信号处理与智能系统研究者参考

本文以无线感知与通信(WSC)为框架,系统梳理鲁棒性的概念与数学基础,揭示鲁棒统计、优化与机器学习之间的内在联系。重点分析鲁棒估计与检验、分布鲁棒优化、正则化及对抗训练等关键技术。同时讨论鲁棒性带来的系统代价,如性能下降与计算开销增加。进一步综述了近期针对模型失配、数据稀疏、对抗扰动与分布偏移的鲁棒信号处理方案,涵盖基于测距的定位、多模态感知、信道估计、接收合并、波形设计与联邦学习等应用。旨在向信号处理领域介绍鲁棒性理论的经典成果与最新进展,展示其在应对无线系统固有不确定性中的关键作用。

原文摘要 · Abstract (English)

This tutorial-style overview article examines the fundamental principles and methods of robustness, using wireless sensing and communication (WSC) as the narrative and exemplifying framework. First, we formalize the conceptual and mathematical foundations of robustness, highlighting the interpretations and relations across robust statistics, optimization, and machine learning. Key techniques, such as robust estimation and testing, distributionally robust optimization, and regularized and adversary training, are investigated. Together, the costs of robustness in system design, for example, the compromised nominal performances and the extra computational burdens, are discussed. Second, we review recent robust signal processing solutions for WSC that address model mismatch, data scarcity, adversarial perturbation, and distributional shift. Specific applications include robust ranging-based localization, modality sensing, channel estimation, receive combining, waveform design, and federated learning. Through this effort, we aim to introduce the classical developments and recent advances in robustness theory to the general signal processing community, exemplifying how robust statistical, optimization, and machine learning approaches can address the uncertainties inherent in WSC systems.

鲁棒性无线通信信号处理机器学习

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