PATENTS
Arta
A. Jamshidi and Michael. J. Kirby, “Non-linear Function
Approximation Over
High-dimensional Domains”, U.S. Provisional Application Serial
Numbers
60/969903 and 60/842401.
Some of
the
covered topics:
a) An algorithm for constructing nonlinear models from
high-dimensional scattered data that requires no ad hoc parameters.
b) Its extensions to higher dimensional ranges.
c) Its usefulness for other function approximation paradigms such as
multi-layer perceptrons.
d) Wide range of its applications such as modeling data on manifolds,
prediction of financial time-series and other
applications in signal and image processing.
e) Introduction of modulated and new compactly supported RBFs, its
impact on other type of networks, image and signal processing.