國立清華大學 數學系

Abstract: 

A data cloud with special pattern can be seen as a high dimensional (sub-)manifold 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 propose a Tangential LLE which can capture intrinsic structure of the data manifold while LLE/HLLE fails or is non-applicable.