演講公告

東海大學統計學系學術演講20171031

公告時間:2017-10-20 10:30:00
公告單位:統計學系

 

東海大學統計學系學術演講

  間:1061031日(星期二下午14:10~15:00

  點:管理學院新大樓M146

主講人:陳律閎   助理教授   (中興大學統計學研究所)

  題:Sensible Functional Linear Discriminant Analysis    

          Abstract

  The focus of this paper is to extend Fisher’s linear discriminant analysis (LDA) to both densely recorded functional data and sparsely observed longitudinal data for general c-category classification problems. We propose an efficient approach to identify the optimal LDA projections in addition to managing the noninvertibility issue of the covariance operator emerging from this extension. A conditional expectation technique is employed to tackle the challenge of projecting sparse data to the LDA directions. We study the asymptotic properties of the proposed estimators and show that asymptotically perfect classification can be achieved in certain circumstances. The performance of this new approach is further demonstrated with both simulated data and real examples.

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