📄 中文摘要
该研究提出了一种新的状态演化框架，用于一般近似消息传递算法。通过分析算法在不同条件下的行为，研究揭示了其在处理大规模稀疏信号恢复和推断问题中的潜力。特别是在空间耦合的背景下，算法表现出优越的性能，能够有效提高信号恢复的准确性和效率。实验结果表明，所提出的方法在多种应用场景中均优于传统算法，展示了其广泛的适用性和前景。该研究为未来的信号处理和通信系统设计提供了重要的理论基础和实践指导。
一般近似消息传递算法的状态演化及其在空间耦合中的应用
📄 English Summary
State Evolution for General Approximate Message Passing Algorithms, withApplications to Spatial Coupling
A new state evolution framework is proposed for general approximate message passing algorithms. By analyzing the behavior of the algorithms under various conditions, the study reveals their potential in addressing large-scale sparse signal recovery and inference problems. Particularly in the context of spatial coupling, the algorithms demonstrate superior performance, effectively enhancing the accuracy and efficiency of signal recovery. Experimental results indicate that the proposed methods outperform traditional algorithms across various application scenarios, showcasing their broad applicability and prospects. This research provides an important theoretical foundation and practical guidance for future signal processing and communication system designs.