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Lower Bounds for the Minimax Risk Using -Divergences, and Applications

โœ Scribed by Guntuboyina, A.


Book ID
114642560
Publisher
IEEE
Year
2011
Tongue
English
Weight
317 KB
Volume
57
Category
Article
ISSN
0018-9448

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We prove lower bounds for the Dirichlet energy of a unit vector field defined in a perforated domain of R 2 with nonzero degree on the outer boundary in terms of the total diameter of the holes. We use this to derive lower bounds, and then compactness results for sequences (u = ) of minimizers or al