4 papers
Extended Kalman Filtering on Stiefel Manifolds
Jordi-LluÃs Figueras, Aron Persson, Lauri Viitasaari
A generalisation of the extended Kalman filter for Stiefel manifold-valued measurements is presented. We provide simulations on the 2-sphere and the space of orthogonal 4-by-2 matr…
On the Convergence of the Extended Kalman Filter on Stiefel Manifolds when Observing a Constant Particle with Measurement Errors
Jordi-LluÃs Figueras, Aron Persson, Lauri Viitasaari
In this paper we first introduce the setting of filtering on Stiefel manifolds. Then, assuming the underlying system process is constant, the convergence of the extended Kalman fil…
Autoregressive Processes on Stiefel and Grassmann Manifolds
Jordi-LluÃs Figueras, Aron Persson
System identification of autoregressive processes on Stiefel and Grassmann manifolds are presented and studied. We define the system parameters as elements in the orthogonal group…
On manifold-like polyfolds as differential geometrical objects with applications in complex geometry
Per à hag, RafaŠCzyż, Håkan Samuelsson Kalm +1
We argue for more widespread use of manifold-like polyfolds (M-polyfolds) as differential geometric objects. M-polyfolds possess a distinct advantage over differentiable manifolds,…