BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Adaptation in multivariate log-concave density estimation Kim, Arlene Kyoung Hee

Description

The log-concave maximum likelihood estimator of a density on $\mathbb R^d$ on a sample of size n is known to attain the minimax optimal rate of convergence up to a log factor when $d=2$ and $d=3$. In this talk, I will present new results on adaptation properties in this multivariate setting. This is based on joint work with Oliver Feng, Aditya Guntuboyina and Richard Samworth.

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Attribution-NonCommercial-NoDerivatives 4.0 International