259 citations · 631 across the 36 of their papers we have counts for
Showing 2018 · math.ATShow all
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math.AT2018★ 2 cited
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…
math.AT2018
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…
math.AT2018★ 14 cited
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…