René Corbet

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All published works

Action	Title	Year	Authors
+ PDF Chat	The shift-dimension of multipersistence modules	2024	Wojciech Chachólski René Corbet Anna-Laura Sattelberger
+	Computing the multicover bifiltration	2021	René Corbet Michael Kerber Michael Lesnick Georg Osang
+	The Shift-Dimension of Multipersistence Modules	2021	Wojciech Chachólski René Corbet Anna-Laura Sattelberger
+	Computing the Multicover Bifiltration	2021	René Corbet Michael Kerber Michael Lesnick Georg Osang
+	A kernel for multi-parameter persistent homology	2019	René Corbet Ulderico Fugacci Michael Kerber Claudia Landi Bei Wang
+	A Kernel for Multi-Parameter Persistent Homology	2018	René Corbet Ulderico Fugacci Michael Kerber Claudia Landi Bei Wang
+ PDF Chat	The representation theorem of persistence revisited and generalized	2018	René Corbet Michael Kerber
+	A Kernel for Multi-Parameter Persistent Homology	2018	René Corbet Ulderico Fugacci Michael Kerber Claudia Landi Bei Wang

Common Coauthors

Coauthor	Papers Together
Michael Kerber	6
Ulderico Fugacci	3
Claudia Landi	3
Bei Wang	3
Wojciech Chachólski	2
Anna-Laura Sattelberger	2
Michael Lesnick	2
Georg Osang	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Computing Persistent Homology	2004	Afra Zomorodian Gunnar Carlsson	4
+	The theory of multidimensional persistence	2007	Gunnar Carlsson Afra Zomorodian	3
+ PDF Chat	Stability of Persistence Diagrams	2006	David Cohen‐Steiner Herbert Edelsbrunner John Harer	3
+ PDF Chat	The Theory of Multidimensional Persistence	2009	Gunnar Carlsson Afra Zomorodian	3
+	Persistent Homology: Theory and Practice	2013	Herbert Edelsbrunner Dmitriy Morozov	3
+ PDF Chat	The Theory of the Interleaving Distance on Multidimensional Persistence Modules	2015	Michael Lesnick	2
+	Elements of Algebraic Topology	2018	James R. Munkres	2
+ PDF Chat	The Rank Invariant Stability via Interleavings	2018	Claudia Landi	2
+	Clique topology reveals intrinsic geometric structure in neural correlations	2015	Chad Giusti Eva Pastalkova Carina Curto Vladimir Itskov	2
+ PDF Chat	A stable multi-scale kernel for topological machine learning	2015	Jan Reininghaus Stefan Huber Ulrich Bauer Roland Kwitt	2
+ PDF Chat	Classification of hepatic lesions using the matching metric	2014	Aaron Adcock Daniel L. Rubin Gunnar Carlsson	2
+ PDF Chat	Barcodes: The persistent topology of data	2007	Robert Ghrist	2
+	Reeb spaces of piecewise linear mappings	2008	Herbert Edelsbrunner John Harer Amit Patel	2
+ PDF Chat	Metrics for Generalized Persistence Modules	2014	Peter Bubenik Vin de Silva Jonathan Scott	2
+	Statistical topological data analysis using persistence landscapes	2015	Peter Bubenik	2
+ PDF Chat	Hierarchical structures of amorphous solids characterized by persistent homology	2016	Yasuaki Hiraoka Takenobu Nakamura Akihiko Hirata Emerson G. Escolar Kaname Matsue Yasumasa Nishiura	2
+ PDF Chat	The ring of algebraic functions on persistence bar codes	2016	Aaron Adcock Erik Carlsson Gunnar Carlsson	2
+ PDF Chat	Persistent homology transform for modeling shapes and surfaces	2014	Katharine Turner Sayan Mukherjee Douglas Boyer	2
+	Persistence Images: A Stable Vector Representation of Persistent Homology	2015	Henry Adams Tegan Emerson Michael Kirby Rachel Neville Chris Peterson Patrick D. Shipman Sofya Chepushtanova Eric Hanson Francis C. Motta Lori Ziegelmeier	2
+ PDF Chat	Tropical Coordinates on the Space of Persistence Barcodes	2018	Sara Kališnik	2
+	Braids and Self-Distributivity	2000	Patrick Dehornoy	1
+ PDF Chat	Persistence Modules on Commutative Ladders of Finite Type	2015	Emerson G. Escolar Yasuaki Hiraoka	1
+ PDF Chat	Categories for the Working Mathematician	1971	Saunders Mac Lane	1
+	Lipschitz Functions Have L p -Stable Persistence	2010	David Cohen‐Steiner Herbert Edelsbrunner John Harer Yuriy Mileyko	1
+ PDF Chat	The Structure and Stability of Persistence Modules	2016	Frédéric Chazal Vin de Silva Marc Glisse Steve Oudot	1
+	Algebra II	1993	B. L. van der Waerden	1
+	Persistent homology—a survey	2008	Herbert Edelsbrunner John Harer	1
+	Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups	1999	Patrick Dehornoy Luis Paris	1
+	Interactive Visualization of 2-D Persistence Modules	2015	Michael Lesnick Matthew Wright	1
+	Persistence weighted Gaussian kernel for topological data analysis	2016	Genki Kusano Kenji Fukumizu Yasuaki Hiraoka	1
+	Research in Computational Topology	2018	Erin Wolf Chambers Brittany Terese Fasy Lori Ziegelmeier	1
+	ELEMENTS OF ALGEBRAIC TOPOLOGY	1972	Kazimierz Kuratowski	1
+	Deep Learning with Topological Signatures	2017	Christoph D. Hofer Roland Kwitt Marc Niethammer Andreas Uhl	1
+	Factorization theory: From commutative to noncommutative settings	2015	Nicholas R. Baeth Daniel Smertnig	1
+	On interval decomposability of 2D persistence modules	2022	Hideto Asashiba Mickaël Buchet Emerson G. Escolar Ken Nakashima Michio Yoshiwaki	1
+	Exact computation of the matching distance on 2-parameter persistence modules	2018	Michael Kerber Michael Lesnick Steve Oudot	1
+ PDF Chat	Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology	2022	Michael Lesnick Matthew Wright	1
+	Comparing persistence diagrams through complex vectors	2015	Barbara Di Fabio Massimo Ferri	1
+	Commutative Algebra	1995	David Eisenbud	1
+ PDF Chat	Combinatorial presentation of multidimensional persistent homology	2016	Wojciech Chachólski Martina Scolamiero Francesco Vaccarino	1
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud	1
+ PDF Chat	Tensor products of structures with interpolation	1996	Friedrich Wehrung	1
+ PDF Chat	Decomposition of pointwise finite-dimensional persistence modules	2014	William Crawley-Boevey	1
+ PDF Chat	Stratifying Multiparameter Persistent Homology	2019	Heather A. Harrington Nina Otter Hal Schenck Ulrike Tillmann	1
+ PDF Chat	Sketches of a platypus: a survey of persistent homology and its algebraic foundations	2014	Mikael Vejdemo‐Johansson	1
+	Decomposition of persistence modules	2019	Magnus Bakke Botnan William Crawley-Boevey	1
+ PDF Chat	Metrics and Stabilization in One Parameter Persistence	2020	Wojciech Chachólski Henri Riihimäki	1
+ PDF Chat	Every 1D persistence module is a restriction of some indecomposable 2D persistence module	2020	Mickaël Buchet Emerson G. Escolar	1
+	Graduate Texts in Mathematics	2020	J. H. van Lint	1
+ PDF Chat	Categorification of Persistent Homology	2014	Peter Bubenik Jonathan Scott	1