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0111 · Feb 202519922001200920172026
2 results for error-in-operator

New method bounds high-dimensional regression without estimating design covariance.

problem High-dimensional linear regression with random design.
method Error-in-operator approach that incorporates design covariance into empirical risk minimization.
result Dimension-free bounds on excess prediction risk derived.

Interpolating models can have heavy-tailed risk, leading to rare but severe errors.

problem Interpolating models' tail risk is poorly understood, affecting rare but impactful errors.
method Large-deviation methods to study the fragility of high-dimensional linear interpolators.
result Ridgeless regression exhibits heavy-tailed risk, while ridge-regularized estimators have better tail behavior.