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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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5 results for “RERM”
ERM and RERM are optimal estimators for regression problems when malicious outliers corrupt the labelsmath.ST

ERM and RERM minimize error even with malicious label corruptions.

problem Malicious label corruptions in regression problems.
method Empirical Risk Minimizers (ERM) and Regularized Empirical Risk Minimizers (RERM) under a local Bernstein condition.
result The L2L_2-error rate is bounded by $r_N + AL |\cO|/N$ under the local Bernstein condition.
regressionmalicious outliersERMRERMempirical risk minimization
2019-10-24abs ↗pdf ↗
On the robustness of minimum norm interpolators and regularized empirical risk minimizersmath.ST

The study analyzes robustness of estimators in linear models with adversarial errors.

problem Analyzing robustness of estimators in linear models with adversarial errors.
method Develops a general theory for minimum norm interpolating estimators and RERM in linear models without conditions on errors.
result Quantitative bound for the prediction error relating it to Rademacher complexity, norm of minimum norm interpolator of errors, and subdifferential size.
robustnessestimatorslinear modelsadversarial errorsminimum norm
2020-12-01abs ↗pdf ↗