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比利时vs摩洛哥足彩 ,
university of california san diego

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final defense

yuchao liu

ucsd

detection and localization of a submatrix: theory, methods and algorithms

abstract:

we consider the problem of detecting and localizing an submatrix with larger-than-usual entries inside a large, noisy matrix. this problem arises from analysis of data in genetics, bioinformatics, and social sciences. we consider that entries of the data matrix are independently following distributions from a natural exponential family, which generalizes the common gaussian assumptions in the literature. distribution-free methods of detection and size-adaptive methods of both detection and localization problems are studied with their asymptotic behaviors illustrated.

advisor: ery arias-castro

march 2, 2018

9:00 am

ap&m 5829

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