no code implementations • 14 Mar 2016 • Francesca Paola Carli
Reciprocal processes are acausal generalizations of Markov processes introduced by Bernstein in 1932.
no code implementations • 30 Mar 2016 • Francesca Paola Carli
In the literature, a significant amount of attention has been focused on developing dynamical models for reciprocal processes.
no code implementations • 20 Nov 2014 • Francesca Paola Carli, Tianshi Chen, Lennart Ljung
In this paper we show that maximum entropy properties indeed extend to the whole family of DC kernels.
no code implementations • 31 Mar 2015 • Francesca Paola Carli, Rodolphe Sepulchre
Convergence of the Kalman filter is best analyzed by studying the contraction of the Riccati map in the space of positive definite (covariance) matrices.
no code implementations • 22 Jun 2014 • Francesca Paola Carli
In this paper we provide an independent proof that relies on the theory of matrix extension problems in the graphical model literature and leads to a closed form expression for the inverse of the first order stable spline kernel as well as to a new factorization in the form $UWU^\top$ with $U$ upper triangular and $W$ diagonal.