Pruning decision tree is an effective method to avoid the phenomena of overfitting. Various pruning methods have been proposed in many literatures. This paper gives a new decision tree pruning method based on Rough Set Theory (RST). According to the concept of explicit region in literature, this...

In this paper we construct for each integer ≥ 11, ≠ 12 15 a pair of trees of order which are not isomorphic but numerically isomeric. We also construct for each even ≥ 12 a pair of 2connected cubic graphs with the same property

In this paper, we study one-dimensional backward stochastic differential equations (in short BSDEs) with jumps and their links with non linear expectations. We consider a filtration generated both by a Brownian motion and a Poisson random measure. Firstly, we present the case of BSDEs in this...

In this paper we consider Sturm-Liouville eigenvalue problems of the formfor 0 ≤ ≤ − with = ⋯ = = = ⋯ = = 0, where and are integers with 1 ≤ ≤ and under the assumption that () ≠ 0 for all . These problems correspond to eigenvalue problems for symmetric, banded matrices with...

The purpose of the paper is to extend the Clarke-Ledyaev multidirectional mean value inequality that estimates in terms of the subdifferential of a lower semicontinous function the difference between the infimum of the function on certain closed, bounded and convex set and its value on a certain...

We develop an exchange algorithm designed for linear models. We name it “” exchange algorithm because it works columnwise, that is factor by factor, and it modifies a limited number of coordinates of the considered column at each iteration. Among its advantages, we can cite the rapidity of...

The concept of functional dependencies in databases is generalized and called generic dependencies. Just as Karnaugh Map exhibits all the functional dependencies in a relation, Entropy Map represents all the generic dependencies. A generalized normal form useful in database design is defined

Ackermann functions are used recursively to define the transfinite cardinals of Cantor. Axiom of Monotonicity is defined and used to derive Continuum Hypothesis. Axiom of Fusion is defined and used to split the unit interval into infinitesimals

Nous présentons ici une extension de la méthode PLS, l'ACIMO-PLS, permettant de modéliser «globalement» un ensemble de tableaux de données mesurés sur les mêmes individus. L'optimisation du critère proposé revient à la résolution de PLS traditionnel, mais engendre des objets et aides...