Testing Convexity and Acyclicity, and New Constructions for Dense Graph Embeddings

Property testing, especially that of geometric and graph properties, is an ongoing area of research. In this thesis, we present a result from each of the two areas. For the problem of convexity testing in high dimensions, we give nearly matching upper and lower bounds for the sample complexity of al...

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Bibliographic Details
Main Author: Sun, Timothy
Language:English
Published: 2019
Subjects:
Online Access:https://doi.org/10.7916/d8-fs41-c774