14 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of French PolynesiaPF5 papers
- Institut de Mathématiques de MarseilleFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR2 papers
- Aix-Marseille UniversitéFR1 paper
- Centre Inria de SaclayFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Durham UniversityGB1 paper
- École PolytechniqueFR1 paper
- Gaelic Athletic AssociationIE1 paper
- GRACE: Geometry, arithmetic, algorithms, codes and encryptionFR1 paper
- King's College LondonGB1 paper
10 papers
Empirical Risk Minimization with Relative Entropy Regularization
Samir M. Perlaza, Gaetan Bisson, Iñaki Esnaola +2
The empirical risk minimization (ERM) problem with relative entropy regularization (ERM-RER) is investigated under the assumption that the reference measure is a -finite measure…
Stealth Data Injection Attacks with Sparsity Constraints
Xiuzhen Ye, Iñaki Esnaola, Samir M. Perlaza +1
Sparse stealth attack constructions that minimize the mutual information between the state variables and the observations are proposed. The attack construction is formulated as the…
An introduction to torsion subcomplex reduction
Alexander Rahm
This survey paper introduces to a technique called Torsion Subcomplex Reduction (TSR) for computing torsion in the cohomology of discrete groups acting on suitable cell complexes.…
The distribution of rational numbers on Cantor's middle thirds set
Alexander Rahm, Noam Solomon, Tara Trauthwein +1
We give a heuristic for the number of reduced rationals on Cantor's middle thirds set, with a fixed bound on the denominator. We also describe extensive numerical computations supp…
Hyperbolic tessellations and generators of K_3 for imaginary quadratic fields
David Burns, Rob de Jeu, Herbert Gangl +2
We develop methods for constructing explicit generators, modulo torsion, of the K_3-groups of imaginary quadratic number fields. These methods are based on either tessellations of…
On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry
Stéphane Ballet, Jean Chaumine, Julia Pieltant +3
In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite extensions of finite fields, enriched with some not published recent…
Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field
Stéphane Ballet, Jean Chaumine, Julia Pieltant
We obtain new asymptotical bounds for the symmetric tensor rank of multiplication in any finite extension of any finite field $\F_q$. In this aim, we use the symmetric Chudnovsky-t…
On Ruan's Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds
Fabio Perroni, Alexander Rahm
We give formulae for the Chen-Ruan orbifold cohomology for the orbifolds given by a Bianchi group acting on complex hyperbolic 3-space. The Bianchi groups are the arithmetic groups…
Similar Powers of a Matrix
Gerald Bourgeois
Let be coprime integers such that . We characterize the matrices such that and are similar. If is invertible, we pr…
How to solve the matrix equation XA-AX=f(X)
Gerald Bourgeois
Let f be an analytic function defined on a complex domain Omega and A be a (n,n) complex matrix. We assume that there exists a unique alpha satisfying f(alpha)=0. When f'(alpha)=0…