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20062026
most citedA review: Deep learning for medical image segmentation using multi-modality fusion

677 citations

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16 papers · 1 filter

math.CO2017

On the self-convolution of generalized Fibonacci numbers

Hacène Belbachir, Toufik Djellal, Jean-Gabriel Luque

We focus on a family of equalities pioneered by Zhang and generalized by Zao and Wang and hence by Mansour which involves self convolution of generalized Fibonacci numbers. We show…

math.CO2016

Hyperpfaffians

Ammar Aboud, Jean-Gabriel Luque

We define and inverstigate a generalization of the pfaffian for multiple array which interpolate between the hyperdeterminant and the hyperp-faffian.

math.CO2016★ 2 cited

A combinatorial Hopf algebra for the boson normal ordering problem

Imad Eddine Bousbaa, Ali Chouria, Jean-Gabriel Luque

In the aim to understand the generalization of Stirling numbers occurring in the bosonic normal ordering problem, several combinatorial models have been proposed. In particular, Bl…

math.CO2014★ 5 cited

Combinatorial Hopf algebras from PROs

Jean-Paul Bultel, Samuele Giraudo

We introduce a general construction that takes as input a so-called stiff PRO and that outputs a Hopf algebra. Stiff PROs are particular PROs that can be described by generators an…

math.CO2014★ 4 cited

Bell polynomials in combinatorial Hopf algebras

Ammar Aboud, Jean-Paul Bultel, Ali Chouria +2

Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities, etc.…

math.CO2013

Dirichlet convolution and enumeration of pyramid polycubes

Christophe Carré, Noemie Debroux, Matthieu Deneufchatel +4

We investigate the enumeration of two families of polycubes, namely pyramids and espaliers, in connection with the multi-indexed Dirichlet convolution