[PDF] Top 20 A CLT for information-theoretic statistics of non-centered Gram random matrices

... , for some well-chosen contour C (see for instance ...Fluctuations for particular linear statistics (and general classes of linear statistics) of large random ... Voir le document complet

... studied for various models of random matrices and for various classes of linear statistics of the eigenvalues in the physics, engineering and mathematical ...CLTs ... Voir le document complet

... part of the proposition can be proved as in [ 15 , Theorem 2], [ 10 ], [ 29 , Lemma 4] and one can track down the minimal value of k 0 by carefully following these ...part of the proposition is ... Voir le document complet

... established for specific linear statistics of interest in information theory, with general entries and (possibly non-centered) covariance random matrices with ... Voir le document complet

... de matrices aléatoires de type ...de matrices de Wigner déformées, elles consistent en une perturbation d’une matrice de Wigner par une matrice diagonale ...deux matrices sont du même ordre de ... Voir le document complet

... enumeration of maps goes back to the work of ’t Hooft and Br´ ezin-Parisi-Itzykson-Zuber in the ...terms of Gaussian moments and use Feyn- man diagrams representation of the moments, then ... Voir le document complet

... using a number of different thresholds for the exclusion of outliers, as well as an estimation of the front of performance (in ...characteristic of the front of ... Voir le document complet

... decade, a variety of algorithms have been proposed in an attempt to address this reverse engineering ...(mutual information, corre- ...mutual information (MI) based algorithms, such as CLR ... Voir le document complet

... underlying a bipartite graph between messages and ...as a dictionary: for each encoding it specifies a set of possible messages ...as a language. The receiver’s decoding pro- ... Voir le document complet

... - a direct application of our problem - and provides good approximated results within reasonable execution ...space of solution depending on probability ...construct a solution by routing each ... Voir le document complet

... For quaternions, multiplication being not commutative, it is not possible to define a determinant having the usual three properties [4]; namely, (i) det A = 0 if and only if Ax = 0 has a ... Voir le document complet

... Appendix A, we present a general algorithmic framework that has been proposed in previous work to solve such special versions of the ...principle of this framework, and of dynamic ... Voir le document complet

... de Bordeaux 22 (2010), 339-352 (Non)Automaticity of number theoretic functions par Michael COONS Résumé. Soit λ(n) la fonction de Liouville indiquant la parité du nombre de facteurs dans la ... Voir le document complet

... continuous random fields despite the fact that actual computation requires ...practice of initializing occupancy probabilities in an occupancy grid to 1/2 is arbitrary and in application often an ... Voir le document complet

... eigenvalues of an heavy-tailed symmetric random matrix are delocalized with probability tending to one as the size of the matrix grows to ...to a simple criterion related to the inverse ... Voir le document complet

... see for instance [Newman, 2004; Pons and Latapy, 2005; Sales-Pardo et ...absence of public datasets of graphs with ground-truth hierarchy. A natural approach is then to define some quality ... Voir le document complet

... quality of the reconstruction is based on the following classical scores [Bordes et ...edges of the reconstructed graph whose weight is larger than some threshold provides a set of graphs with ... Voir le document complet

... Quantitative Information Flow (QIF), the attacker typically tries to interfere with the system in the attempt to increase its leakage of secret ...as a type of protocol composition, i.e., ... Voir le document complet

... as a result τ), would induce iterations that are not ...As a result, when considering sufficiently many tra- jectories during the construction of a PVP, it is likely that any time interval, ... Voir le document complet

... class of determinantal point processes with translation invariant kernels in dimensions 1 and 2, lim N →∞ EW N is minimized by the processes whose cor- relation kernel is the Fourier transform of the ... Voir le document complet