Le problème du voyageur de commerce dans un produit cartésien de deux graphes
Le traitement du signal et l'analyse mathématique
Nous étudons sur des exemples significatifs l’intersection entre le traitement du signal et l’analyse fonctionnelle.
L'école d'été du C.N.R.S. sur l'analyse des données
Left MQQs whose left parastrophe is also quadratic
A left quasigroup of order that can be represented as a vector of Boolean functions of degree 2 is called a left multivariate quadratic quasigroup (LMQQ). For a given LMQQ there exists a left parastrophe operation defined by: that also defines a left multivariate quasigroup. However, in general, is not quadratic. Even more, representing it in a symbolic form may require exponential time and space. In this work we investigate the problem of finding a subclass of LMQQs whose left parastrophe...
Les codes géométriques de Goppa
Les graphes de transfert et la notion de graphe inverse
L'Espace Vectoriel Pseudo-Booléen Généralisé
Limit behaviour of trajectories involving subgradients of convex functions
Limited semaphore codes.
Limits of Bayesian decision related quantities of binomial asset price models
We study Bayesian decision making based on observations () of the discrete-time price dynamics of a financial asset, when the hypothesis a special -period binomial model and the alternative is a different -period binomial model. As the observation gaps tend to zero (i. e. ), we obtain the limits of the corresponding Bayes risk as well as of the related Hellinger integrals and power divergences. Furthermore, we also give an example for the “non-commutativity” between Bayesian statistical and...
Linear and nonlinear approach for dem smoothening.
Linear codes over finite chain rings.
Linear fractional transformations and companion matrices
Linear prediction: Mathematics and engineering.
Linear spans of optimal sets of frequency hopping sequences
Frequency hopping sequences sets are required in frequency hopping code division multiple access systems. For the anti-jamming purpose, frequency hopping sequences are required to have a large linear span. In this paper, by using a permutation polynomial δ(x) over a finite field, we transform several optimal sets of frequency hopping sequences with small linear span into ones with large linear span. The exact values of the linear span are presented by using the methods of counting the terms of the...
Linear spans of optimal sets of frequency hopping sequences∗
Frequency hopping sequences sets are required in frequency hopping code division multiple access systems. For the anti-jamming purpose, frequency hopping sequences are required to have a large linear span. In this paper, by using a permutation polynomial δ(x) over a finite field, we transform several optimal sets of frequency hopping sequences with small linear span into ones with large linear span. The exact values of the linear span are presented by using the methods of counting the terms of the...
L'inégalité de Kullback. Application à la théorie de l'estimation
Local dependency in networks
Many real world data and processes have a network structure and can usefully be represented as graphs. Network analysis focuses on the relations among the nodes exploring the properties of each network. We introduce a method for measuring the strength of the relationship between two nodes of a network and for their ranking. This method is applicable to all kinds of networks, including directed and weighted networks. The approach extracts dependency relations among the network's nodes from the structure...
Local detection of defects from image sequences
Our aim is to discuss three approaches to the detection of defects in continuous production processes, which are based on local methods of processing image sequences. These approaches are motivated by and applicable to images of hot metals or other surfaces, which are uniform at a macroscopic level, when defects are not present. The first of them is based on the estimation of fractal dimensions of image cross-sections. The second and third approaches are compositions of known techniques, which are...
Local growth of Weierstrass -function and Whittaker-type derivative sampling.