Normalized Frobenius condition number of the orthogonal projections of the identity

<p>[EN]This paper deals with the orthogonal projection (in the Frobenius sense) AN of the identity matrix I onto the matrix subspace AS (A ? Rn&times;n, S being an arbitrary subspace of Rn&times;n). Lower and upper bounds on the normalized Frobenius condition number of matrix AN are given. Furthermore, for every matrix subspace S ? Rn&times;n, a new index bF (A, S), which generalizes the normalized Frobenius condition number of matrix A, is defined and analyzed...</p>

Geometrical and Spectral Properties of the Orthogonal Projections of the Identity

<p>[EN]We analyze the best approximation

Gender and identity classi���cation for a naive and evolving system

<p>[EN]This paper does not propose a new technique for face representationorclassi���cation. Insteadtheworkdescribed here investigates the evolution of an automatic system which, based on a currently common framework, and starting from an empty memory, modi���es its classi���ers according to experience. In the experiments we reproduce up to a certain extent the process of successive meetings. The results achieved, even when the number of different individuals is still reduced compared to off-line classi���ers, are promising.</p>