2000 character limit reached
On principal component analysis of the convex combination of two data matrices and its application to acoustic metamaterial filters (2104.07054v2)
Published 4 Apr 2021 in math.OC and cs.LG
Abstract: In this short paper, a matrix perturbation bound on the eigenvalues found by principal component analysis is investigated, for the case in which the data matrix on which principal component analysis is performed is a convex combination of two data matrices. The application of the theoretical analysis to multi-objective optimization problems (e.g., those arising in the design of acoustic metamaterial filters) is briefly discussed, together with possible extensions.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Collections
Sign up for free to add this paper to one or more collections.