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The Broader Landscape of Robustness in Algorithmic Statistics

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arxiv 2412.02670 v3 pith:YTZVNKYO submitted 2024-12-03 stat.ML cs.CRcs.DScs.ITmath.ITmath.STstat.TH

classification stat.MLcs.CRcs.DScs.ITmath.ITmath.STstat.TH
keywords robustnessalgorithmiccomputationallydatasetefficientnumberadvancesalgorithms
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The last decade has seen a number of advances in computationally efficient algorithms for statistical methods subject to robustness constraints. An estimator may be robust in a number of different ways: to contamination of the dataset, to heavy-tailed data, or in the sense that it preserves privacy of the dataset. We survey recent results in these areas with a focus on the problem of mean estimation, drawing technical and conceptual connections between the various forms of robustness, showing that the same underlying algorithmic ideas lead to computationally efficient estimators in all these settings.

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Cited by 1 Pith paper

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  1. Square$\chi$PO: Differentially Private and Robust $\chi^2$-Preference Optimization in Offline Direct Alignment

    cs.LG 2025-05 conditional novelty 6.0 of 10

    SquareχPO, a square-loss variant of χPO, achieves optimal 1/sqrt(n) suboptimality under label privacy and Huber corruption for offline direct alignment with general function classes.

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