Found 40 Documents (Results 1–40)
Persistent cup product structures and related invariants. (English) Zbl 07857692
Reviewer: Cesar A. Ipanaque Zapata (São Carlos)
Vietoris-Rips persistent homology, injective metric spaces, and the filling radius. (English) Zbl 07846440
Reviewer: Ioan Pop (Iaşi)
A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension. (English) Zbl 1526.92019
Distances and isomorphism between networks: stability and convergence of network invariants. (English) Zbl 1524.68332
Correspondence modules and persistence sheaves: a unifying perspective on one-parameter persistent homology. (English) Zbl 1518.55003
Reviewer: Henri Riihimäki (Stockholm)
Decomposing filtered chain complexes: geometry behind barcoding algorithms. (English) Zbl 1509.55002
Reviewer: Beatrice Bleile (Armidale)
Persistent homology: a topological tool for higher-interaction systems. (English) Zbl 1505.55013
Battiston, Federico (ed.) et al., Higher-order systems. Cham: Springer. Underst. Complex Syst., 97-139 (2022).
\(A_\infty\) persistent homology estimates detailed topology from pointcloud datasets. (English) Zbl 1496.55005
Reviewer: Jelena Grbić (Southampton)
Polyhedral expansions of compacta associated to finite approximations. (English) Zbl 1494.54014
Reviewer: Corina Mohorianu (Iaşi)
Geometric and probabilistic limit theorems in topological data analysis. (English) Zbl 1480.55006
Reviewer: My Ismail Mamouni (Rabat)
Reconstruction of compacta by finite approximations and inverse persistence. (English) Zbl 1477.54016
Reviewer: Takahisa Miyata (Kobe)
Evolution of local motifs and topological proximity in self-assembled quasi-crystalline phases. (English) Zbl 1472.82045
Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis. (English) Zbl 1460.55007
Reviewer: Jonathan Hodgson (Swarthmore)
A topological study of functional data and Fréchet functions of metric measure spaces. (English) Zbl 1435.62449
Interpolation, the rudimentary geometry of spaces of Lipschitz functions, and geometric complexity. (English) Zbl 1447.57036
The reflection distance between zigzag persistence modules. (English) Zbl 1435.55002
Reviewer: My Ismail Mamouni (Témara)
SimBa: an efficient tool for approximating Rips-filtration persistence via simplicial batch collapse. (English) Zbl 1521.68230
A functorial Dowker theorem and persistent homology of asymmetric networks. (English) Zbl 1423.55038
A higher homotopic extension of persistent (co)homology. (English) Zbl 1405.55004
Reviewer: My Ismail Mamouni (Témara)
Multiscale persistent functions for biomolecular structure characterization. (English) Zbl 1385.92021
Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids. (English) Zbl 1415.60052
Metrics for generalized persistence modules. (English) Zbl 1345.55006
Reviewer: Massimo Ferri (Bologna)
Simplicial multivalued maps and the witness complex for dynamical analysis of time series. (English) Zbl 1320.37034
Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces. (English) Zbl 1364.55016
Betti numbers in multidimensional persistent homology are stable functions. (English) Zbl 1278.55012
Reviewer: Jonathan Hodgson (Swarthmore)
The normalized graph cut and Cheeger constant: from discrete to continuous. (English) Zbl 1318.62105
Persistent intersection homology. (English) Zbl 1223.55002
Reviewer: Markus Banagl (Heidelberg)
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