259 citations · 259 across the 5 of their papers we have counts for
5 papers
Multiresolution topological simplification
Kelin Xia, Zhixiong Zhao, Guo-Wei Wei
Persistent homology has been devised as a promising tool for the topological simplification of complex data. However, it is computationally intractable for large data sets. In this…
Multidimensional persistence in biomolecular data
Kelin Xia, Guo-Wei Wei
Persistent homology has emerged as a popular technique for the topological simplification of big data, including biomolecular data. Multidimensional persistence bears considerable…
Persistent homology analysis of protein structure, flexibility and folding
Kelin Xia, Guo-Wei Wei
Proteins are the most important biomolecules for living organisms. The understanding of protein structure, function, dynamics and transport is one of most challenging tasks in biol…
Persistent topology for cryo-EM data analysis
Kelin Xia, Guo-Wei Wei
In this work, we introduce persistent homology for the analysis of cryo-electron microscopy (cryo-EM) density maps. We identify the topological fingerprint or topological signature…
Objective-oriented Persistent Homology
Bao Wang, Guo-Wei Wei
Persistent homology provides a new approach for the topological simplification of big data via measuring the life time of intrinsic topological features in a filtration process and…