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DTSTART:20070311T020000
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UID:0a79d9a6-cd38-4220-8c81-a3afd735500c.196844@calendar.missouristate.edu
CREATED:20190321T210708Z
LAST-MODIFIED:20190321T210708Z
LOCATION:Cheek Hall 301
SUMMARY:Mathematics Colloquium: Some Remarks on the Construction of Design
er Kernels and Their Applications
DESCRIPTION:Positive definite reproducing kernels (or covariance kernels)
play a central role in many applications in numerical analysis\, spatial
statistics\, as well as statistical learning. They appear in methods kno
wn\, e.g.\, as radial basis functions\, kriging\, Gaussian processes\, or
simply kernel-based methods. Some kernels\, such as Gaussian kernel\, m
ultiquadric kernel or the family of Matern kernels\, are very popular and
are often used in a "one-size-fits-all" general purpose strategy. In th
is talk I will emphasize a different approach\; that of custom-built desi
gner kernels that have certain desirable built-in properties such as\, e.
g.\, periodicity\, satisfaction of boundary conditions\, or non-stationar
ity. After introducing a few different types of designer kernels I will
illustrate their use with some examples from data fitting\, the numerical
solution of PDEs\, and electrical power demand forecasting.
X-ALT-DESC;FMTTYPE=text/html:<html><head><title></title></head><body><p>Po
sitive definite reproducing kernels (or covariance kernels) play a centra
l role in many applications in numerical analysis\, spatial statistics\,
as well as statistical learning. \; They appear in methods known\, e.
g.\, as radial basis functions\, kriging\, Gaussian processes\, or simply
kernel-based methods. \; Some kernels\, such as Gaussian kernel\, mu
ltiquadric kernel or the family of Matern kernels\, are very popular and
are often used in a "one-size-fits-all" general purpose strategy. \;
In this talk I will emphasize a different approach\; that of custom-built
designer kernels that have certain desirable built-in properties such as
\, e.g.\, periodicity\, satisfaction of boundary conditions\, or non-stat
ionarity. \; After introducing a few different types of designer kern
els I will illustrate their use with some examples from data fitting\, th
e numerical solution of PDEs\, and electrical power demand forecasting.&n
bsp\;</p></body></html>
DTSTART;TZID=America/Chicago:20190412T140000
DTEND;TZID=America/Chicago:20190412T150000
SEQUENCE:1
URL:https://math.missouristate.edu/
CATEGORIES:Current Students,Faculty,Future Students,Staff
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