College of LAS Events

College of LAS Events

skip to events

If you need disability-related accommodations in order to participate in a program or event and cannot find an event contact listed, please contact MT Hudson at (217) 333-0885 or Early requests are strongly encouraged to allow sufficient time to meet your access needs.

calendar tabs

  •  All 
  • Month
  • Week
  • Day
  • (Selected tab) Detail

Event Detail Information

Statistics Seminar - Effective dimension reduction for sparse functional data

SpeakerDr. Fang Yao (University of Toronto)
Date Mar 6, 2014
Time 4:00 pm - 5:15 pm  
Sponsor Xiaofeng Shao
Event type Seminar/Symposium
Views 1550

Abstract: We propose a method of dimension reduction for functional data in the framework of effective dimension reduction (EDR), emphasizing on the sparse design where one observes only a few noisy and irregular measurements for some or all of the subjects.  The proposed method exploits the general strategy of borrowing strength across the entire sample, and specifically draws the inspiration from multivariate cumulative slicing estimation. This provides an innovative solution to the challenging problem of characterizing the EDR space in the presence of sparse functional data.  Our theoretical study reveals the bias-variance tradeoff associated with the regularizing truncation and the decaying structures of the predictor process and the EDR space. The proposed method is conceptually simple, and easy to implement in practice. A simulation study and two real examples are presented to illustrate its superior finite sample performance.

link for robots only