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Biomolecular structure comparison not only reveals evolutionary relationships, but also sheds light on biological functional properties.
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The efficiency of a homology algorithm based on discrete morse theory and coreductions
Shaun Harker, Konstantin Mischaikow, Marian Mrozek, Vidit N, Hubert Wagner, and Mateusz Juda · 2010
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A Mayer-Vietoris formula for persistent homology with an application to shape recognition in the presence of occlusions
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Multiscale multiphysics and multidomain models - Flexibility and Rigidity
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Distributed computation of persistent homology
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Topology-based kernels with application to inference problems in alzheimer’s disease
D. Pachauri, C. Hinrichs, M.K. Chung, S.C. Johnson, and V. Singh · 2011
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Javaplex: A research software package for persistent (co)homology
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Branching and circular features in high dimensional data
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Persistent brain network homology from the perspective of dendrogram
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A fast algorithm for constructing topological structure in large data
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Multivariate data analysis using persistence-based filtering and topological signatures
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Persistent homology analysis of protein structure, flexibility and folding
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Persistent homology analysis of protein structure, flexibility, and folding
K. L. Xia and G. W. Wei · 2014
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Statistical topological data analysis using persistence landscapes
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Communication: Capturing protein multiscale thermal fluctuations
K. Opron, K. L. Xia, and G.W. Wei · 2015
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Persistent homology for the quantitative prediction of fullerene stability
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Multiscale Gaussian network model (mGNM) and multiscale anisotropic network model (mANM)
K. L. Xia, K. Opron, and G. W. Wei · 2015
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Multidimensional persistence in biomolecular data
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Persistent topology for cryo-EM data analysis
K. L. Xia and G. W. Wei · 2015
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Multiresolution persistent homology for excessively large biomolecular datasets
K. L. Xia, Z. X. Zhao, and G. W. Wei · 2015
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Multiresolution topological simplification
K. L. Xia, Z. X. Zhao, and G. W. Wei · 2015
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Generalized flexibility-rigidity index
D. Nguyen, K. L. Xia, and G. W. Wei · 2016
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Flexibility–rigidity index for protein–nucleic acid flexibility and fluctuation analysis
K. Opron, K. L. Xia, Z. F. Burton, and G. W. Wei · 2016
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Object-oriented persistent homology
B. Wang and G. W. Wei · 2016
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