提出新算法解决多参考信号对齐问题，提升无线通信系统性能。
A Probabilistic Approach to Pose Synchronization for Multi-Reference Alignment with Applications to MIMO Wireless Communication Systems
- 用相对姿态作为噪声变量，消除全局对称性，简化求解。
- 实验显示重建误差低于现有方法，且可避免中心化算法的立方级开销。
- 适合需要高效信号对齐的通信与成像系统研究者使用。
从分子成像到无线通信，从多个错位观测中对齐和重构信号对是系统性能的关键。本文研究多参考对齐（MRA）问题，该问题广泛存在于冷冻电镜、计算机视觉及无线通信系统中。通过概率建模方法，提出一种新算法，将相对姿态视为干扰变量进行边缘化处理，从而消除问题的全局对称性，实现更直接的求解并改善收敛性。该方法的去中心化设计通过循环一致性机制避免了中心化方法的立方级计算复杂度，显著降低计算开销。两种算法在不同实验设置下均实现了更低的重建误差。
原文摘要 · Abstract (English)
From molecular imaging to wireless communications, the ability to align and reconstruct signals from multiple misaligned observations is crucial for system performance. We study the problem of multi-reference alignment (MRA), which arises in many real-world problems, such as cryo-EM, computer vision, and, in particular, wireless communication systems. Using a probabilistic approach to model MRA, we find a new algorithm that uses relative poses as nuisance variables to marginalize out -- thereby removing the global symmetries of the problem and allowing for more direct solutions and improved convergence. The decentralization of this approach enables significant computational savings by avoiding the cubic scaling of centralized methods through cycle consistency. Both proposed algorithms achieve lower reconstruction error across experimental settings.
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