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New theory advances permutation synchronization under data corruption

Researchers have developed a recovery theory for projected power iterations in permutation synchronization, focusing on scenarios with corrupted measurements. The study proves exact one-step recovery under specific conditions related to the number of observations and corruption levels. This theoretical framework extends to various corruption models and has implications for partial permutations, offering an end-to-end recovery guarantee. AI

IMPACT Provides theoretical advancements for permutation synchronization, potentially improving algorithms used in machine learning and data analysis.

RANK_REASON The item is an academic paper published on arXiv detailing a new theoretical framework for a machine learning problem. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New theory advances permutation synchronization under data corruption

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The item is an academic paper published on arXiv detailing a new theoretical framework for a machine learning problem. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Vahan Huroyan, Gilad Lerman ·

    Recovery Theory for Projected Power Iterations in Permutation Synchronization

    arXiv:2609.09502v1 Announce Type: new Abstract: We study the projected power method (PPM) for synchronizing \(n\) unknown permutations of \(m\) objects under a possibly sparse uniform corruption model. Each pair is observed with probability \(p\), and an observed measurement is u…