21 citations · 24 across the 3 of their papers we have counts for
3 papers
cs.LG2023★ 1 cited
GRIL: A -parameter Persistence Based Vectorization for Machine Learning
Cheng Xin, Soham Mukherjee, Shreyas N. Samaga +1
-parameter persistent homology, a cornerstone in Topological Data Analysis (TDA), studies the evolution of topological features such as connected components and cycles hidden in…
cs.CG2021★ 2 cited
Rectangular Approximation and Stability of -parameter Persistence Modules
Tamal K. Dey, Cheng Xin
One of the main reasons for topological persistence being useful in data analysis is that it is backed up by a stability (isometry) property: persistence diagrams of -parameter…
cs.CG2018★ 21 cited
Computing Bottleneck Distance for Multi-parameter Interval Decomposable Persistence Modules
Tamal K. Dey, Cheng Xin
Computation of the interleaving distance between persistence modules is a central task in topological data analysis. For -parameter persistence modules, thanks to the isometry t…