The Geometry of Data: Distance on Data Manifolds

The increasing importance of data in the modern world has created a need for new mathematical techniques to analyze this data. We explore and develop the use of geometry—specifically differential geometry—as a means for such analysis, in two parts. First, we provide a general framework to discover p...

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Bibliographic Details
Main Author: Chu, Casey
Format: Others
Published: Scholarship @ Claremont 2016
Subjects:
Online Access:https://scholarship.claremont.edu/hmc_theses/74
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1088&context=hmc_theses