Add to ORKGWe study how to obtain partial matchings using the block function $\mathcal{M}_f$, a novel concept obtained from a morphism $f$ between persistence modules. $\mathcal{M}_f$ is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of $\mathcal{M}_f$, and provide a way to obtain $\mathcal{M}_f$ using matrix operations
International audienceWe present a generalization of the induced matching theorem of [1] and use it ...
The ability to perform shape retrieval based not only on full similarity, but also partial similarit...
Botnan MB, Crawley-Boevey WW. DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATH...
The notion of persistence partial matching, as a generalization of partial matchings between persis...
Given a morphism of persistence modules (a.k.a. persistence morphism) $f : V \rightarrow U$, we intr...
$\DeclareMathOperator{\ker}{ker}\DeclareMathOperator{\coker}{coker}$We define a simple, explicit map...
We define a simple, explicit map sending a morphism f : M → N of pointwise finite dimensional persis...
Abstract. We define a simple, explicit map sending a morphism f: M → N of pointwise finite dimension...
The barcode of a persistence module serves as a complete combinatorial invariant of its isomorphism ...
The barcode of a persistence module serves as a complete combinatorial invariant of its isomorphism ...
The stability of persistent homology is rightly considered to be one of its most important propertie...
We present an algorithm for computing the barcode of the image of a morphism in persistent homology ...
We give a self-contained treatment of the theory of persistence modules indexed over the real line. ...
26 pages, 4 figuresThe notion of rank decomposition of a multi-parameter persistence module was intr...
We introduce an algorithm to decompose any finite-type persistence module with coefficients in a fi...
International audienceWe present a generalization of the induced matching theorem of [1] and use it ...
The ability to perform shape retrieval based not only on full similarity, but also partial similarit...
Botnan MB, Crawley-Boevey WW. DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATH...
The notion of persistence partial matching, as a generalization of partial matchings between persis...
Given a morphism of persistence modules (a.k.a. persistence morphism) $f : V \rightarrow U$, we intr...
$\DeclareMathOperator{\ker}{ker}\DeclareMathOperator{\coker}{coker}$We define a simple, explicit map...
We define a simple, explicit map sending a morphism f : M → N of pointwise finite dimensional persis...
Abstract. We define a simple, explicit map sending a morphism f: M → N of pointwise finite dimension...
The barcode of a persistence module serves as a complete combinatorial invariant of its isomorphism ...
The barcode of a persistence module serves as a complete combinatorial invariant of its isomorphism ...
The stability of persistent homology is rightly considered to be one of its most important propertie...
We present an algorithm for computing the barcode of the image of a morphism in persistent homology ...
We give a self-contained treatment of the theory of persistence modules indexed over the real line. ...
26 pages, 4 figuresThe notion of rank decomposition of a multi-parameter persistence module was intr...
We introduce an algorithm to decompose any finite-type persistence module with coefficients in a fi...
International audienceWe present a generalization of the induced matching theorem of [1] and use it ...
The ability to perform shape retrieval based not only on full similarity, but also partial similarit...
Botnan MB, Crawley-Boevey WW. DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATH...