Sparse Interpolation, Rational Approximation and Exponential Analysis (16w5038)

The Casa Matemática Oaxaca (CMO) will host the "Sparse Interpolation, Rational Approximation and Exponential Analysis " workshop from October 30th to November 4th, 2016.

In computational science and engineering a consistent theme is that mathematical models of the major features of some
data are represented in a small number of terms. That is, one looks for models which use a sparse combination of
generating elements taken from a set. Determining the parameters of these models then involves finding such a generating
set.

In this workshop we will study the interaction between sparse interpolation, Pad\'e approximation and exponential
analysis in the context of creating efficient mathematical models with minimal generating sets. Such an interaction
pervades all aspects of these problems from mathematics, to algorithms, to implementation to application: sparse
mathematical models, analysis of the algorithms in numerical, noisy environments and applications of the computations
and analysis particularly with low powered medical and mobile devices and spectroscopy.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry.



The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT.