1. Abstract Principal Component Analysis And Applications To Model Reduction Open Access Author: Li, Tianjiang Title: Abstract Principal Component Analysis And Applications To Model Reduction Graduate Program: Mathematics Keywords: Banach operator algebrastanding and traveling wavessignal decompositionextraction of transient modesabstract principal component analysisdata mining File: Download Li-Dissertation.pdf Committee Members: Qiang Du, Dissertation Advisor/Co-AdvisorQiang Du, Committee Chair/Co-ChairLudmil Tomov Zikatanov, Committee MemberXiantao Li, Committee MemberAnna L Mazzucato, Committee MemberRunze Li, Committee Member