Wednesday, May 25, 2022

Time: 16:10-17:00

Speaker:

Prof. Chih-Wei Chen

Department of Applied Mathematics, National Sun Yat-sen University

Title:

How to embed a data manifold by using locally linear maps?

Abstract

A data cloud with special pattern can be seen as a submanifold in a Euclidean space and its features can be detected via various dimensionality reduction maps. Mechanisms of some well-known maps, such as LLE and HLLE, will be discussed in this talk. With Dr. Liren Lin, we proposed a Tangential LLE which can capture intrinsic structure of the data manifold while LLE/HLLE fails or is not applicable.