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New research details AMP for phase retrieval with random initialization

By PulseAugur Editorial · [1 sources] ·

Researchers have analyzed approximate message passing (AMP) with independent Gaussian initialization for noiseless phase retrieval. Their findings indicate that random initialization requires a growing number of iterations for AMP to achieve non-vanishing overlap. The study provides a Gaussian decomposition of the AMP trajectory, controlling its error over necessary recovery horizons and demonstrating that random initialization reaches the weak-recovery threshold of 1/2. For signal strengths between the weak and strong recovery thresholds, the signal strength follows state evolution and approaches a stable fixed point within a specific number of iterations. AI

RANK_REASON The cluster contains an academic paper detailing a new analysis of an algorithm for a specific mathematical problem. [lever_c_demoted from research: ic=1 ai=0.4]

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New research details AMP for phase retrieval with random initialization

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COVERAGE [1]

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

    Approximate Message Passing with Random Initialization for Phase Retrieval

    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,…

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