We consider the asymptotic behavior of regression estimators that minimize the residual sum of squares plus a penalty proportional to ∑ βj γ for some γ > 0. These estimators include the Lasso as a special case when γ = 1. Under appropriate conditions, we show that the limiting distributions can have positive probability mass at 0 when the true value of the parameter is 0. We also consider asymp...

In this work, we propose to use the linear regression partial least square method to predict the output variables of the RA1G boiler. This method consists in finding the regression of an output block regarding an input block. These two blocks represent the outputs and inputs of the process. A criteria of cross validation, based on the calculation of the predicted residual sum of squares, is use...

Despite the rising number of emotional state detection methods motivated by the popularity increase in affective computing techniques in recent years, they are yet faced with subject and domain transferability issues. In this paper, we present an improved methodology for modelling individuals’ emotional states in multimedia interactive environments. Our method relies on a two-layer classificati...

The first and second Zagreb indices of a graph are equal, respectively, to the sum of squares of the vertex degrees, and the sum of the products of the degrees of pairs of adjacent vertices. We now consider analogous graph invariants, based on the second degrees of vertices (number of their second neighbors), called leap Zagreb indices. A number of their basic properties is established.

This work stems from the widely accep ted hypothesis that housing price is determined by two types of character istic: structural and location al. Under this hypothesis, a methodology is presen ted for the spatial estimation of housing prices and location al rents: the Iterativ e Residual Kriging (IRK) method. The methodological aspects are complemented by the presen tation of an application of...