Adaptation in log-concave density estimation

57 mins 56 secs,  830.35 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.91 Mbits/sec
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Description: Kim, A
Tuesday 13th February 2018 - 11:00 to 12:00
 
Created: 2018-02-13 13:50
Collection: Statistical scalability
Publisher: Isaac Newton Institute
Copyright: Kim, A
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: The log-concave maximum likelihood estimator of a density on 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 review the univariate adaptation result, and will present new results on adaptation properties in the multivariate setting. This is based on joint work with Oliver Feng, Aditya Guntuboyina and Richard Samworth
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