Harmonic classes for a simplicial complex are the kernel of its combinatorial Laplacians. They contain more information than homology classes for various data analytic purposes. In this talk, we will discuss harmonic classes as a new method for analyzing simplicial complexes associated with a given data set. As an application, we will present an intriguing connection between harmonic classes and effective conductance for a network.
NIMS 콜로퀴움
Simplicial Harmonic Classes
연사: 국웅 교수(서울대학교)
일시: 2016년 5월 12일(목) 16시 30분
장소: 국가수리과학연구소 연구교류센터(CAMP) 대형세미나실
Harmonic classes for a simplicial complex are the kernel of its combinatorial Laplacians. They contain more information than homology classes for various data analytic purposes. In this talk, we will discuss harmonic classes as a new method for analyzing simplicial complexes associated with a given data set. As an application, we will present an intriguing connection between harmonic classes and effective conductance for a network.