Add to ORKGWe introduce an efficient preprocessing algorithm to reduce the number of cells in a filtered cell complex while preserving its persistent homology groups. The technique is based on an extension of combinatorial Morse theory from complexes to filtrations
In this paper, we define the homological Morse numbers of a filtered cell complex in terms of the re...
2021 Summer.Includes bibliographical references.Persistent homology typically starts with a filtered...
The persistence diagram of a filtered simplicial com- plex is usually computed by reducing the bound...
We introduce an efficient preprocessing algorithm to reduce the number of cells in a filtered cell c...
We introduce an efficient preprocessing algorithm to reduce the number of cells in a filtered cell c...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
Forman's discrete Morse theory appeared to be useful for providing filtration-preserving reductions ...
We present a parallel algorithm for computing the persistent homology of a filtered chain complex. O...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
We present a parallelizable algorithm for computing the persistent homology of a filtered chain comp...
Our primary motivation for persistent homology is in its applications to shape similarity measures. ...
Our primary motivation for persistent homology is in its applications to shape similarity measures. ...
This report provides theoretical justification for the use of discrete Morse the-ory for the computa...
Boissonnat and Pritam introduced an algorithm to reduce a filtration of flag (or clique) complexes, ...
In this paper, we define the homological Morse numbers of a filtered cell complex in terms of the re...
2021 Summer.Includes bibliographical references.Persistent homology typically starts with a filtered...
The persistence diagram of a filtered simplicial com- plex is usually computed by reducing the bound...
We introduce an efficient preprocessing algorithm to reduce the number of cells in a filtered cell c...
We introduce an efficient preprocessing algorithm to reduce the number of cells in a filtered cell c...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
Forman's discrete Morse theory appeared to be useful for providing filtration-preserving reductions ...
We present a parallel algorithm for computing the persistent homology of a filtered chain complex. O...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
We present a parallelizable algorithm for computing the persistent homology of a filtered chain comp...
Our primary motivation for persistent homology is in its applications to shape similarity measures. ...
Our primary motivation for persistent homology is in its applications to shape similarity measures. ...
This report provides theoretical justification for the use of discrete Morse the-ory for the computa...
Boissonnat and Pritam introduced an algorithm to reduce a filtration of flag (or clique) complexes, ...
In this paper, we define the homological Morse numbers of a filtered cell complex in terms of the re...
2021 Summer.Includes bibliographical references.Persistent homology typically starts with a filtered...
The persistence diagram of a filtered simplicial com- plex is usually computed by reducing the bound...