Date of Award
Spring 2023
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
First Advisor
Coifman, Ronald
Abstract
Extracting the common information amongst a collection of datasets has become a majortopic of research called Sensor Fusion. Instead, we explore a collection of methods for extracting the information which differentiates between collections of datasets. We focus on methods for differentating the perspectives of datasets using diffusion operators. We formulate a minimax problem for optimizing the relative smoothness of functions between collections of graphs, and prove a minimax theorem for generalized eigenvalues to compute the solution. We further investigate methods for extracting control variables from multidimensional time-series, motivated by a differentiation problem in stroke detection.
Recommended Citation
Ekeroth, Benjamin, "Perspective Differentiation WIth Diffusion Geometry" (2023). Yale Graduate School of Arts and Sciences Dissertations. 1078.
https://elischolar.library.yale.edu/gsas_dissertations/1078
