Functional linear regression has recently attracted considerable interest. Many works focus on asymptotic inference. In this paper we consider in a non asymptotic framework a simple estimation procedure based on functional Principal Regression. It revolves in the minimization of a least square contrast coupled with a classical projection on the space spanned by the m first empirical eigenvector...

The formulation of the process of analog system design has been done on the basis of the control theory application as the problem of a special functional minimization. This approach generalizes the design process and produces the different design trajectories inside the same optimization procedure. Numerical examples show that the potential computer time gain of the optimal design strategy wit...

A new set of algorithms for transform adaptation in adaptive transform coding is presented. These algorithms are inspired by standard techniques in adaptive nite impulse response (FIR) Wiener ltering and demonstrate that similar algorithms with simple updates exist for tracking principal components (eigenvectors of a correlation matrix). For coding an N -dimensional source, the transform adapta...

Fault diagnosis of analog circuits is essential for guaranteeing the reliability and maintainability of electronic systems. A novel analog circuit fault diagnosis approach based on greedy kernel principal component analysis (KPCA) and one-against-rest support vector machine (OARSVM) is proposed in this paper. In order to obtain a successful fault classifier, eliminating noise and extracting fau...