Michael Kerber

ORCID

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 69

Top Venues

CoRR

SoCG

ALENEX

Discret. Comput. Geom.

Saarland University (PHD)

Education History

Saarland University

PHD

Publications

Ángel Javier Alonso, Michael Kerber, Primoz Skraba
Probabilistic Analysis of Multiparameter Persistence Decompositions into Intervals. SoCG (2024)
Mickaël Buchet, Bianca B. Dornelas, Michael Kerber
Sparse Higher Order Čech Filtrations. J. ACM 71 (4) (2024)
Michael Kerber, Florian Russold
Graphcode: Learning from multiparameter persistent homology using graph neural networks. CoRR (2024)
Ángel Javier Alonso, Michael Kerber, Tung Lam, Michael Lesnick
Delaunay Bifiltrations of Functions on Point Clouds. SODA (2024)
Xavier Goaoc, Michael Kerber
Guest Editors' Foreword. Discret. Comput. Geom. 71 (1) (2024)
Ángel Javier Alonso, Michael Kerber, Primoz Skraba
Probabilistic Analysis of Multiparameter Persistence Decompositions. CoRR (2024)
Mickaël Buchet, Bianca B. Dornelas, Michael Kerber
Sparse Higher Order Čech Filtrations. SoCG (2023)
Ángel Javier Alonso, Michael Kerber
Decomposition of Zero-Dimensional Persistence Modules via Rooted Subsets. SoCG (2023)
Michael Kerber, Matthias Söls
The Localized Union-Of-Balls Bifiltration. SoCG (2023)
Martin Uray, Barbara Giunti, Michael Kerber, Stefan Huber
Topological Data Analysis in smart manufacturing processes - A survey on the state of the art. CoRR (2023)
Mickaël Buchet, Bianca B. Dornelas, Michael Kerber
Sparse Higher Order Čech Filtrations. CoRR (2023)
Ángel Javier Alonso, Michael Kerber, Tung Lam, Michael Lesnick
Delaunay Bifiltrations of Functions on Point Clouds. CoRR (2023)
Michael Kerber, Matthias Söls
The Localized Union-of-Balls Bifiltration. CoRR (2023)
Ángel Javier Alonso, Michael Kerber, Siddharth Pritam
Filtration-Domination in Bifiltered Graphs. ALENEX (2023)
Ángel Javier Alonso, Michael Kerber
Decomposition of zero-dimensional persistence modules via rooted subsets. CoRR (2023)
René Corbet, Michael Kerber, Michael Lesnick, Georg Osang
Computing the Multicover Bifiltration. Discret. Comput. Geom. 70 (2) (2023)
Ulderico Fugacci, Michael Kerber, Alexander Rolle
Compression for 2-parameter persistent homology. Comput. Geom. 109 (2023)
Ulrich Bauer, Talha Bin Masood, Barbara Giunti, Guillaume Houry, Michael Kerber, Abhishek Rathod
Keeping it sparse: Computing Persistent Homology revised. CoRR (2022)
Ángel Javier Alonso, Michael Kerber, Siddharth Pritam
Filtration-Domination in Bifiltered Graphs. CoRR (2022)
Barbara Giunti, Guillaume Houry, Michael Kerber
Average Complexity of Matrix Reduction for Clique Filtrations. ISSAC (2022)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Improved Approximate Rips Filtrations with Shifted Integer Lattices and Cubical Complexes. CoRR (2021)
René Corbet, Michael Kerber, Michael Lesnick, Georg Osang
Computing the Multicover Bifiltration. SoCG (2021)
René Corbet, Michael Kerber, Michael Lesnick, Georg Osang
Computing the Multicover Bifiltration. CoRR (2021)
Michael Kerber, Alexander Rolle
Fast Minimal Presentations of Bi-graded Persistence Modules. ALENEX (2021)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Improved approximate rips filtrations with shifted integer lattices and cubical complexes. J. Appl. Comput. Topol. 5 (3) (2021)
Ulderico Fugacci, Michael Kerber, Alexander Rolle
Compression for 2-Parameter Persistent Homology. CoRR (2021)
Håvard Bakke Bjerkevik, Michael Kerber
Asymptotic Improvements on the Exact Matching Distance for 2-parameter Persistence. CoRR (2021)
Barbara Giunti, Guillaume Houry, Michael Kerber
Average complexity of matrix reduction for clique filtrations. CoRR (2021)
Ulderico Fugacci, Michael Kerber, Hugo Manet
Topology-Preserving Terrain Simplification. SIGSPATIAL/GIS (2020)
Michael Kerber, Alexander Rolle
Fast Minimal Presentations of Bi-graded Persistence Modules. CoRR (2020)
Håvard Bakke Bjerkevik, Magnus Bakke Botnan, Michael Kerber
Computing the Interleaving Distance is NP-Hard. Found. Comput. Math. 20 (5) (2020)
Michael Kerber, Arnur Nigmetov
Metric Spaces with Expensive Distances. Int. J. Comput. Geom. Appl. 30 (2) (2020)
Michael Kerber, Arnur Nigmetov
Efficient Approximation of the Matching Distance for 2-Parameter Persistence. SoCG (2020)
Michael Kerber, Michael Lesnick, Steve Oudot
Exact computation of the matching distance on 2-parameter persistence modules. J. Comput. Geom. 11 (2) (2020)
Michael Kerber, Vijay Natarajan, Bei Wang
Topology, Computation and Data Analysis (Dagstuhl Seminar 19212). Dagstuhl Reports 9 (5) (2019)
Ulderico Fugacci, Michael Kerber
Chunk Reduction for Multi-Parameter Persistent Homology. SoCG (2019)
Michael Kerber, Arnur Nigmetov
Metric Spaces with Expensive Distances. CoRR (2019)
Michael Kerber, Hannah Schreiber
Barcodes of Towers and a Streaming Algorithm for Persistent Homology. Discret. Comput. Geom. 61 (4) (2019)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Improved Topological Approximations by Digitization. SODA (2019)
Michael Kerber, Arnur Nigmetov
Efficient Approximation of the Matching Distance for 2-parameter persistence. CoRR (2019)
René Corbet, Ulderico Fugacci, Michael Kerber, Claudia Landi, Bei Wang
A kernel for multi-parameter persistent homology. Comput. Graph. X 2 (2019)
Michael Kerber, Michael Lesnick, Steve Oudot
Exact Computation of the Matching Distance on 2-Parameter Persistence Modules. SoCG (2019)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Polynomial-Sized Topological Approximations Using the Permutahedron. Discret. Comput. Geom. 61 (1) (2019)
Ulderico Fugacci, Michael Kerber, Hugo Manet
Topology-Preserving Terrain Simplification. CoRR (2019)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Improved Topological Approximations by Digitization. CoRR (2018)
René Corbet, Ulderico Fugacci, Michael Kerber, Claudia Landi, Bei Wang
A Kernel for Multi-Parameter Persistent Homology. CoRR (2018)
René Corbet, Michael Kerber
The representation theorem of persistence revisited and generalized. J. Appl. Comput. Topol. 2 (1-2) (2018)
Håvard Bakke Bjerkevik, Magnus Bakke Botnan, Michael Kerber
Computing the interleaving distance is NP-hard. CoRR (2018)
Michael Kerber, Michael Lesnick, Steve Oudot
Exact computation of the matching distance on 2-parameter persistence modules. CoRR (2018)
Michael Kerber, Dmitriy Morozov, Arnur Nigmetov
Geometry Helps to Compare Persistence Diagrams. ACM J. Exp. Algorithmics 22 (2017)
Hamish A. Carr, Michael Kerber, Bei Wang
Topology, Computation and Data Analysis (Dagstuhl Seminar 17292). Dagstuhl Reports 7 (7) (2017)
Michael Kerber, Robert Tichy, Mario Weitzer
Constrained Triangulations, Volumes of Polytopes, and Unit Equations. SoCG (2017)
Michael Kerber, Hannah Schreiber
Barcodes of Towers and a Streaming Algorithm for Persistent Homology. CoRR (2017)
Ulrich Bauer, Michael Kerber, Jan Reininghaus, Hubert Wagner
Phat - Persistent Homology Algorithms Toolbox. J. Symb. Comput. 78 (2017)
Michael Kerber, Hannah Schreiber
Barcodes of Towers and a Streaming Algorithm for Persistent Homology. SoCG (2017)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Improved Approximate Rips Filtrations with Shifted Integer Lattices. CoRR (2017)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Improved Approximate Rips Filtrations with Shifted Integer Lattices. ESA (2017)
Michael Kerber
Special issue on algorithms and software for computational topology. J. Symb. Comput. 78 (2017)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Polynomial-Sized Topological Approximations Using The Permutahedron. CoRR (2016)
Michael Kerber, Donald R. Sheehy, Primoz Skraba
Persistent Homology and Nested Dissection. SODA (2016)
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Polynomial-Sized Topological Approximations Using the Permutahedron. SoCG (2016)
Michael Kerber, Dmitriy Morozov, Arnur Nigmetov
Geometry Helps to Compare Persistence Diagrams. CoRR (2016)
Michael Kerber, Dmitriy Morozov, Arnur Nigmetov
Geometry Helps to Compare Persistence Diagrams. ALENEX (2016)
Michael Kerber, Sharath Raghvendra
Approximation and Streaming Algorithms for Projective Clustering via Random Projections. CCCG (2015)
Michael Kerber, Michael Sagraloff
Root refinement for real polynomials using quadratic interval refinement. J. Comput. Appl. Math. 280 (2015)
Sergio Cabello, Michael Kerber
Semi-dynamic Connectivity in the Plane. WADS (2015)
Aruni Choudhary, Michael Kerber
Local Doubling Dimension of Point Sets. CCCG (2015)
Sergio Cabello, Michael Kerber
Semi-dynamic connectivity in the plane. CoRR (2015)
Dan Halperin, Michael Kerber, Doron Shaharabani
The Offset Filtration of Convex Objects. ESA (2015)
Mabel Iglesias Ham, Michael Kerber, Caroline Uhler
Sphere Packing with Limited Overlap. CoRR (2014)
Mabel Iglesias Ham, Michael Kerber, Caroline Uhler
Sphere Packing with Limited Overlap. CCCG (2014)
Ulrich Bauer, Michael Kerber, Jan Reininghaus
Distributed Computation of Persistent Homology. ALENEX (2014)
Chen Gu, Leonidas J. Guibas, Michael Kerber
Topology-Driven Trajectory Synthesis with an Example on Retinal Cell Motions. WABI (2014)
Dan Halperin, Michael Kerber, Doron Shaharabani
The Offset Filtration of Convex Objects. CoRR (2014)
Aruni Choudhary, Michael Kerber
Local Doubling Dimension of Point Sets. CoRR (2014)
Ulrich Bauer, Michael Kerber, Jan Reininghaus, Hubert Wagner
PHAT - Persistent Homology Algorithms Toolbox. ICMS (2014)
Michael Kerber, Sharath Raghvendra
Approximation and Streaming Algorithms for Projective Clustering via Random Projections. CoRR (2014)
Michael Kerber, R. Sharathkumar
Approximate Cech Complexes in Low and High Dimensions. CoRR (2013)
Ulrich Bauer, Michael Kerber, Jan Reininghaus
Distributed computation of persistent homology. CoRR (2013)
Yang Li, Qixing Huang, Michael Kerber, Lin Zhang, Leonidas J. Guibas
Large-scale joint map matching of GPS traces. SIGSPATIAL/GIS (2013)
Michael Kerber
Embedding the dual complex of hyper-rectangular partitions. J. Comput. Geom. 4 (1) (2013)
Michael Kerber, Herbert Edelsbrunner
3D kinetic alpha complexes and their implementation. ALENEX (2013)
Haochen Tang, Michael Kerber, Qixing Huang, Leonidas J. Guibas
Locating lucrative passengers for taxicab drivers. SIGSPATIAL/GIS (2013)
Michael Kerber, R. Sharathkumar
Approximate Čech Complex in Low and High Dimensions. ISAAC (2013)
Chao Chen, Michael Kerber
An output-sensitive algorithm for persistent homology. Comput. Geom. 46 (4) (2013)
Herbert Edelsbrunner, Michael Kerber
Dual Complexes of Cubical Subdivisions of ℝ n. Discret. Comput. Geom. 47 (2) (2012)
Herbert Edelsbrunner, Michael Kerber
Alexander duality for functions: the persistent behavior of land and water and shore. SCG (2012)
Herbert Edelsbrunner, Carl-Philipp Heisenberg, Michael Kerber, Gabriel Krens
The Medusa of Spatial Sorting: Topological Construction CoRR (2012)
Eric Berberich, Dan Halperin, Michael Kerber, Roza Pogalnikova
Deconstructing Approximate Offsets. Discret. Comput. Geom. 48 (4) (2012)
Michael Kerber, Michael Sagraloff
A worst-case bound for topology computation of algebraic curves. J. Symb. Comput. 47 (3) (2012)
Michael Kerber
Embedding the dual complex of hyper-rectangular partitions CoRR (2012)
Michael Kerber, Herbert Edelsbrunner
The Medusa of Spatial Sorting: 3D Kinetic Alpha Complexes and Implementation CoRR (2012)
Eric Berberich, Michael Hemmer, Michael Kerber
A generic algebraic kernel for non-linear geometric applications. SCG (2011)
Michael Kerber, Michael Sagraloff
A Worst-case Bound for Topology Computation of Algebraic Curves CoRR (2011)
Michael Kerber, Michael Sagraloff
Efficient real root approximation. ISSAC (2011)
Herbert Edelsbrunner, Michael Kerber
. Rainbow of Computer Science (2011)
Chao Chen, Michael Kerber
An output-sensitive algorithm for persistent homology. SCG (2011)
Herbert Edelsbrunner, Michael Kerber
Alexander Duality for Functions: the Persistent Behavior of Land and Water and Shore CoRR (2011)
Michael Kerber, Michael Sagraloff
Root Refinement for Real Polynomials CoRR (2011)
Eric Berberich, Dan Halperin, Michael Kerber, Roza Pogalnikova
Deconstructing approximate offsets. SCG (2011)

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Publication Activity (10 Years)

Top Topics

Top Venues

Michael Kerber