The Fred Hutch Biostatistics Program hosts seminars featuring presentations by Hutch and outside scientists to share their latest developments and recent research. Each seminar includes an hour-long presentation and discussion during which speakers showcase their work and findings.
This seminar will be held on Zoom due to the COVID-19 pandemic.
Biostatistics Seminar Series:
“Functional Principal Component Analysis via A Functional Pairwise Spatial Sign Operator”
In this talk, we present a new robust functional principal component analysis approach based on a functional pairwise spatial sign (PASS) operator, termed PASS FPCA. This includes robust estimation procedures for eigenfunctions and eigenvalues. Compared to existing robust FPCA approaches, the proposed PASS FPCA requires weaker distributional assumptions to conserve the eigenspace of the covariance function. The robustness of the PASS FPCA will be demonstrated via extensive simulation studies, especially its advantages in scenarios with asymmetric distributions. We will also look at an application to the accelerometry data from the Objective Physical Activity and Cardiovascular Health Study, which is a large-scale epidemiological study that investigates the relationship between objectively measured physical activity and cardiovascular health among older women.