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arXiv preprint arXiv:2002.08774 , year=

3 Pith papers cite this work. Polarity classification is still indexing.

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The Threshold Breakdown Point

math.ST · 2026-05-05 · unverdicted · novelty 7.0 · 2 refs

Defines threshold breakdown point and m-sensitivity for M-estimators, derives their properties, extends to hypothesis testing, and supplies consistency, asymptotic normality, and multiplier bootstrap results.

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  • NetPTR: Optimal Differentially Private Spectral Community Detection on Sparse Networks cs.SI · 2026-06-22 · unverdicted · none · ref 37

    NetPTR achieves edge-DP spectral clustering for ordinary networks and column-node-DP for bipartite networks, with consistency guarantees separating non-private error from privacy error under degree-corrected block models in sparse regimes.

  • The Threshold Breakdown Point math.ST · 2026-05-05 · unverdicted · none · ref 6 · 2 links

    Defines threshold breakdown point and m-sensitivity for M-estimators, derives their properties, extends to hypothesis testing, and supplies consistency, asymptotic normality, and multiplier bootstrap results.

  • Efficient Propose-Test-Release for Optimal Differentially Private Estimation stat.ME · 2026-05-05 · unverdicted · none · ref 15 · 2 links

    Introduces ePTR pipeline using safety lower bound testing to enable optimal DP mechanisms for sensitive estimators in classification and regression.