Recovering the Homology of Immersed Manifolds

Raphaël Tinarrage

Type: Article

Publication Date: 2023-02-23

Citations: 2

DOI: https://doi.org/10.1007/s00454-022-00409-5

View Publication

Download PDF

Locations

Discrete & Computational Geometry - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Recovering the homology of immersed manifolds	2019	Raphaël Tinarrage
+ PDF Chat	Recovering the homology of immersed manifolds	2020	Raphaël Tinarrage
+	Determining homology of an unknown space from a sample	2021	Morten Brun Belén García Pascual Lars M. Salbu
+	Approximating Local Homology from Samples	2012	Primož Škraba Bei Wang
+	Topology of Singular Spaces: Motivation, Overview	2019	Laurenţiu Maxim
+	Demystifying Latschev's Theorem: Manifold Reconstruction from Noisy Data	2023	Sushovan Majhi
+	Approximating local homology from samples	2014	Primož Škraba Bei Wang
+ PDF Chat	Persistent Intrinsic Volumes	2024	David Cohen-Steiner Antoine Commaret
+	Efficient and Robust Persistent Homology for Measures	2013	Mickaël Buchet Frédéric Chazal Steve Oudot Donald R. Sheehy
+	Efficient and Robust Persistent Homology for Measures	2013	Mickaël Buchet Frédéric Chazal Steve Oudot Donald R. Sheehy
+	Finding the Homology of Manifolds using Ellipsoids	2020	Sara Kališnik Davorin Lešnik
+	Finding the Homology of Manifolds using Ellipsoids	2020	Sara Kališnik Davorin Lešnik
+	Intrinsic persistent homology via density-based metric learning	2020	Ximena Fernández Eugenio Borghini Gabriel B. Mindlin Pablo Groisman
+	Data, geometry and homology	2022	Jens Agerberg Wojciech Chachólski Ryan Ramanujam
+ PDF Chat	Metrics and Stabilization in One Parameter Persistence	2020	Wojciech Chachólski Henri Riihimäki
+	Local homology transfer and stratification learning	2012	Paul Bendich Bei Wang Sayan Mukherjee
+ PDF Chat	Generic families of finite metric spaces with identical or trivial 1-dimensional persistence	2024	Philip Smith Vitaliy Kurlin
+	Intrinsic analysis on manifolds	2012	Abhishek Bhattacharya Rabi Bhattacharya
+	A statistical approach to knot confinement via persistent homology	2021	Daniele Celoria Barbara I. Mahler
+	Geometric and Topological Inference	2018	Jean‐Daniel Boissonnat Frédéric Chazal Mariette Yvinec

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	Tangent Space and Dimension Estimation with the Wasserstein Distance	2024	Uzu Lim Harald Oberhauser Vidit Nanda
+	Computing persistent Stiefel-Whitney classes of line bundles.	2020	Raphaël Tinarrage

Works Cited by This (29)

Action	Title	Year	Authors
+	Geometric Measure Theory	1988	Herbert Fédérer
+ PDF Chat	The Structure and Stability of Persistence Modules	2016	Frédéric Chazal Vin de Silva Marc Glisse Steve Oudot
+	Estimation of intrinsic dimensionality of samples from noisy low-dimensional manifolds in high dimensions with multiscale SVD	2009	Anna Little Jason D. Lee Yoon-Mo Jung Mauro Maggioni
+	Almost Convex Subsets	2005	Alexander Lytchak
+ PDF Chat	Gauss Equation And Injectivity Radii For Subspaces in Spaces of Curvature Bounded Above	2006	Stephanie Alexander Richard L. Bishop
+	Empirical geometry of multivariate data: a deconvolution approach	2000	Vladimir Koltchinskii
+	The union of balls and its dual shape	1993	Herbert Edelsbrunner
+ PDF Chat	Stability and Computation of Topological Invariants of Solids in ${\Bbb R}^n$	2007	Frédéric Chazal André Lieutier
+ PDF Chat	Efficient and robust persistent homology for measures	2016	Mickaël Buchet Frédéric Chazal Steve Oudot Donald R. Sheehy
+	Vitesses de convergence en inférence géométrique	2017	Eddie Aamari