Tutorial: Geometric Intuitions of ‘EigenThingys’ and an Introduction to Principal Component Analysis

Speaker: 
Ethan Hada (MEMS)
Date of Seminar: 
Fri, 2014-03-28 12:00
Seminar Location: 
Hudson 208. Friday, March 28th, 11:45 AM. Lunch Provided.

Ethan Hada

 

Tutorial: Geometric Intuitions of ‘EigenThingys’ and an Introduction to Principal Component Analysis

Friday, March 24th, 2014.  Hudson 208 at 11:45 AM.  Lunch Provided.

Abstract

In engineering (and math, physics, etc), ‘EigenThingys’ come up fairly frequently, but what are they all about, really? Intuitive understanding of ‘EigenThingys’ through geometric descriptions and anecdote were absent from many of the math courses I took during my pursuit of an undergraduate education. In this talk, I will discuss some geometric interpretations to Eigen[Thing] problems and related linear algebra concepts including determinants, traces, projections, and possibly more (time and interest permitting). After a (hopefully) informative background briefing, I will discuss Principal Component Analysis, a powerful eigendecomposition tool that you may find useful for your own research interests.

 

Biography

Ethan Hada is a second year graduate student in Mechanical Engineering working under the leadership of Dr. Laurens Howle. He earned his bachelor’s degree in Applied Physics with a minor in Mathematics. His interests include all things mechanical, physical, and philosophical, so feel free to stop by and chat with him in Hudson 236, or drop him a message at ethan.hada@duke.edu.