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12 papers · 1 filter
Entropy of Overcomplete Kernel Dictionaries
Paul Honeine
In signal analysis and synthesis, linear approximation theory considers a linear decomposition of any given signal in a set of atoms, collected into a so-called dictionary. Relevan…
Analyzing sparse dictionaries for online learning with kernels
Paul Honeine
Many signal processing and machine learning methods share essentially the same linear-in-the-parameter model, with as many parameters as available samples as in kernel-based machin…
Linear-time Computation of Minimal Absent Words Using Suffix Array
Carl Barton, Alice Heliou, Laurent Mouchard +1
An absent word of a word y of length n is a word that does not occur in y. It is a minimal absent word if all its proper factors occur in y. Minimal absent words have been computed…
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…
Folding Alternant and Goppa Codes with Non-Trivial Automorphism Groups
Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret +2
The main practical limitation of the McEliece public-key encryption scheme is probably the size of its key. A famous trend to overcome this issue is to focus on subclasses of alter…
Fence-sitters Protect Cooperation in Complex Networks
Yichao Zhang, M. A. Aziz-Alaoui, Cyrille Bertelle +2
Evolutionary game theory is one of the key paradigms behind many scientific disciplines from science to engineering. In complex networks, because of the difficulty of formulating t…