On the Complexity of Sparse Label Propagation

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Abstract

This paper investigates the computational complexity of sparse label propagation which has been proposed recently for processing network structured data. Sparse label propagation amounts to a convex optimization problem and might be
considered as an extension of basis pursuit from sparse vectors to network structured datasets. Using a standard first-order oracle model, we characterize the number of iterations for sparse label propagation to achieve a prescribed accuracy. In particular, we derive an upper bound on the number of iterations required to achieve a certain accuracy and show that this upper bound is sharp for datasets having a chain structure (e.g., time series).
Original languageEnglish
Article number22
Pages (from-to)1-7
JournalFrontiers in Applied Mathematics and Statistics
Volume4
DOIs
Publication statusPublished - 10 Jul 2018
MoE publication typeA1 Journal article-refereed

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