Multidimensional persistence in biomolecular data

• Published in: Journal of computational chemistry Vol. 36; no. 20; pp. 1502 - 1520
• Main Authors: Xia, Kelin, Wei, Guo-Wei
• Format: Journal Article
• Language: English
• Published: United States Blackwell Publishing Ltd 30.07.2015; Wiley Subscription Services, Inc
• Subjects: Algorithms; anisotropic filtration; Anisotropy; Molecular Dynamics Simulation; multidimensional persistence; multifiltration; multiscale persistence; Nanoparticles; Partial differential equations; protein flexibility; Protein Folding; Proteins; Proteins - chemistry; topological denoising; anisotropic filtration; multiscale persistence; multidimensional persistence; protein flexibility; protein folding; multifiltration; topological denoising

Persistent homology has emerged as a popular technique for the topological simplification of big data, including biomolecular data. Multidimensional persistence bears considerable promise to bridge the gap between geometry and topology. However, its practical and robust construction has been a chall...