RÉSUMÉ. Cet article présente un système pour transformer, de façon automatique, des programmes écrits en C--, un langage impératif simple, en un ensemble d’équations du premier ordre. Cet ensemble d’équations utilisé pour représenter un programme C-a une signification mathématique précise et les techniques standards de mécanisation du raisonnement équationnel peuvent être déployées pour vérifie...

The density function for the joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles is found in terms of a Painlevé II transcendent and its associated isomonodromic system. As a corollary, the density function for the spacing between these two eigenvalues is similarly characterised.The particular solution of Painlevé II that arises is a double shifted Bäckl...

In this paper, we propose a method that evaluates the content of a text summary using a machine learning approach. This method operates by combining multiple features to build models that predict the PYRAMID scores for new summaries. We have tested several single and ”Ensemble Learning” classifiers to build the best model. The evaluation of summarization system is made using the average of the ...

The theory of zonal polynomials is used to compute the average of a Schur polynomial of argument AX , where A is a fixed matrix and X is from the real Ginibre ensemble. This generalizes a recent result of Sommers and Khorozhenko [J. Phys. A 42 (2009), 222002], and furthermore allows analogous results to be obtained for the complex and real quaternion Ginibre ensembles. As applications, the posi...

Although diversity in classifier ensembles is desirable, its relationship with the ensemble accuracy is not straightforward. Here we derive a decomposition of the majority vote error into three terms: average individual accuracy, “good” diversity and “bad diversity”. The good diversity term is taken out of the individual error whereas the bad diversity term is added to it. We relate the two div...

We show how to connect together the loops of a simple Conformal Loop Ensemble (CLE) in order to construct samples of chordal SLEκ processes and their SLEκ(ρ) variants, and we discuss some consequences of this construction.

Classification is one of the critical task in datamining. Many classifiers exist for classification task and each have their own pros and cons. It is observed that due to imbalancing in datasets quality of classification accuracy is decreasing. Thus the increasing rate of data diversity and size decreases the performance and efficiency of classifiers. Thus it is very much important to get the m...

dna sequence, containing all genetic traits is not a functional entity. instead, it transfers to protein sequences by transcription and translation processes. this protein sequence takes on a 3d structure later, which is a functional unit and can manage biological interactions using the information encoded in dna. every life process one can figure is undertaken by proteins with specific functio...