IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Finding the right model for our data
Autor/es:
CARLOS CABRELLI
Lugar:
Nashville
Reunión:
Conferencia; 5th International Conference on Computational Harmonic Analysis; 2014
Institución organizadora:
Vanderbilt University
Resumen:
Finding the right model for given data
Assume that we need to process a large amount of data that
we know is low dimensional.
A comm on practice in this case, is to impose some hypothesis
on the data and use a standard model.
For example we can assume that the data is
band limited, then we can use an appropriate Paley-Wiener space.
A more realistic approach is to select a big class of models (subspaces) and try to find the one that best fit our data.
In this talk we will show that this is possible in many situations.
In particular we i llustrate this in the space L^2(\R^N), with shift invariant spaces, having extra-invariance, which provide a model for noisy data and give a way to control the jitter error.