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May 31, 2026Scientia Sinica Mathematica0 citations

实际需求导向的多源信息融合相关数学基础理论和优化算法

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YLYingting LuoXSXiaojing ShenESEnbin Song

Key Points

  • The aim is to address challenges in classical information fusion theories due to evolving sensors and communication networks.
  • Review advancements from the Sichuan University Information Fusion Team over 30 years.
  • Establish distributed optimal estimation theory and efficient algorithms under noisy conditions.
  • Develop robust fusion frameworks addressing second-order statistical challenges with practical applications.
  • The new frameworks and algorithms have been validated in engineering equipment, showing clear advantages.
  • Global robust concepts and optimization criteria were proposed for various communication structures and scenarios.

Abstract

随着传感器与通信网络演进,经典理想化融合理论面临适用性与可计算性挑战。本文以四川 大学数学学院信息融合团队的近三十年系统研究为主线,综述三方面进展:第一,在噪声相关、参 数随机等条件下建立分布式最优估计融合理论与高效算法,实现传感器层与融合中心统一优化;第 二,揭示相关观测下决策融合的无穷维优化本质,给出全局最优融合律及可实现迭代框架,并推广 至多种通信结构、衰减信道与量化情形;第三,面向二阶统计量难以可靠获取,发展椭球集值稳健 融合与极大极小框架,涵盖稳健检验、协方差不精确鲁棒融合与边缘分布鲁棒最小均方误差估计。 特别,提出了全局稳健的新概念及新优化框架,并建议了若干优化准则。部分成果已在工程装备中 验证转化并展现优势。

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Cite This Study

Luo et al. (2026) studied this question.

synapsesocial.com/papers/6a1bd2ab5783ba022b6fe124https://doi.org/10.1360/ssm-2026-0086
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