Si avvisa che in data 30-09-2015,
alle ore 14:30 precise,
presso l'Aula Seminari "F. Saleri" VI piano - Dipartimento di
Matematica, Politecnico di Milano,
nell'ambito delle iniziative MOX, si svolgerà il seguente
seminario:
Relatore:
Alois Kneip
Universitat Bonn
Titolo:
Nonparametric Registration to Low-Dimensional
Functionspaces
Abstract:
Registration aims to decompose amplitude and phase variation of
samples of curves. Phase variation is captured by warping
functions which
monotonically transform the domains of sample curves. Resulting
registered
curves should then only exhibit amplitude variation. Most existing
registration method rely on aligning typical shape features like
peaks or
valleys to be found in each sample function. It is shown that this
is not
necessarily an optimal strategy for subsequent statistical data
exploration
and inference. In this context a major goal is to identify low
dimensional
linear subspaces of functions that are able to provide accurate
approximations of the observed functional data. In this paper we
present a
registration method where warping functions are defined in such a
way that
the resulting registered curves span a low dimensional linear
function
space. Problems of identifiability are discussed in detail, and
connections
to established registration procedures are analyzed. The method is
applied
to real and simulated data.
Tutti gli interessati sono invitati
a partecipare.
Cordiali saluti,
Laura Sangalli
--
Laura Maria Sangalli
MOX - Dipartimento di Matematica
Politecnico di Milano
Piazza Leonardo da Vinci 32
20133 Milano - Italy
tel: +39 02 2399 4554
fax: +39 02 2399 4568
email: laura.sangalli@polimi.it
url: http://mox.polimi.it/~sangalli