Search Results for author: Oliver Y. Feng

Found 1 papers, 0 papers with code

Optimal convex $M$-estimation via score matching

no code implementations25 Mar 2024 Oliver Y. Feng, Yu-Chun Kao, Min Xu, Richard J. Samworth

As an example of a non-log-concave setting, for Cauchy errors, the optimal convex loss function is Huber-like, and our procedure yields an asymptotic efficiency greater than 0. 87 relative to the oracle maximum likelihood estimator of the regression coefficients that uses knowledge of this error distribution; in this sense, we obtain robustness without sacrificing much efficiency.

regression

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