259 citations · 631 across the 36 of their papers we have counts for
4 papers · 1 filter
Persistent-Homology-based Machine Learning and its Applications -- A Survey
Chi Seng Pun, Kelin Xia, Si Xian Lee
A suitable feature representation that can both preserve the data intrinsic information and reduce data complexity and dimensionality is key to the performance of machine learning…
Weighted Fundamental Group
Chengyuan Wu, Shiquan Ren, Jie Wu +1
In this paper, we develop and study the theory of weighted fundamental groups of weighted simplicial complexes. When all weights are 1, the weighted fundamental group reduces to th…
Weighted (Co)homology and Weighted Laplacian
Chengyuan Wu, Shiquan Ren, Jie Wu +1
In this paper, we generalize the combinatorial Laplace operator of Horak and Jost by introducing the -weighted coboundary operator induced by a weight function . Our weight f…
Persistent homology analysis of ion aggregation and hydrogen-bonding network
Kelin Xia
Despite the great advancement of experimental tools and theoretical models, a quantitative characterization of the microscopic structures of ion aggregates and its associated water…