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New framework predicts detection-recovery gaps in high-dimensional inference

Researchers have developed a new framework to establish conditional computational lower bounds for recovery problems in high-dimensional inference. This approach utilizes algorithmic contiguity and a cross-validation reduction to convert successful recovery into a hypothesis test. The method is designed to be conceptually simple, flexible, and largely model-independent, offering a more accessible way to understand computational barriers in statistical models. AI

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RANK_REASON The submission is an academic paper on arXiv detailing a new theoretical framework for statistical inference.

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New framework predicts detection-recovery gaps in high-dimensional inference

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  1. arXiv stat.ML TIER_1 · Zhangsong Li ·

    Algorithmic Contiguity from Low-Degree Heuristic II: Predicting Detection-Recovery Gaps

    The low-degree polynomial framework has emerged as a powerful tool for providing evidence of statistical-computational gaps in high-dimensional inference. For detection problems, the standard approach bounds the low-degree advantage through an explicit orthonormal basis. However,…