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Kwang B. Ketcham

Picture of Kwang B. Ketcham.

Thesis

Group Frames and Partially Ranked Data

Advisor
Dagan Karp
Second Reader(s)
Michael Orrison

Abstract

We give an overview of finite group frames and their applications to calculating summary statistics from partially ranked data, drawing upon the work of Rachel Cranfill (2009). We also provide a summary of the representation theory of compact Lie groups. We introduce both of these concepts as possible avenues beyond finite group representations, and also to suggest exploration into calculating summary statistics on Hilbert spaces using representations of Lie groups acting upon those spaces.

Proposal

Discrete Signal Processing and Representations of Groups

Additional Materials

Poster