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新研究详细介绍了具有随机初始化的相位恢复的 AMP

研究人员分析了具有独立高斯初始化的近似消息传递(AMP)在无噪声相位恢复中的应用。他们的研究结果表明,AMP 需要越来越多的迭代次数才能实现非消失重叠。该研究提供了 AMP 轨迹的高斯分解,控制了其在必要恢复范围内的误差,并证明了随机初始化可以达到 1/2 的弱恢复阈值。对于介于弱恢复和强恢复阈值之间的信号强度,信号强度遵循状态演化,并在特定迭代次数内接近稳定的不动点。 AI

排序理由 该集群包含一篇学术论文,详细介绍了对特定数学问题的算法的新分析。[lever_c_demoted from research: ic=1 ai=0.4]

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新研究详细介绍了具有随机初始化的相位恢复的 AMP

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该集群包含一篇学术论文,详细介绍了对特定数学问题的算法的新分析。[lever_c_demoted from research: ic=1 ai=0.4]
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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Yuchen Chen, Yandi Shen, Xingyu Xu ·

    随机初始化近似消息传递用于相位恢复

    arXiv:2608.01654v1 Announce Type: cross Abstract: We analyze approximate message passing (AMP) with an independent Gaussian initialization for noiseless phase retrieval in the proportional asymptotic regime. A random initialization has overlap of order $d^{-1/2}$ with the signal,…