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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:&lt;html&gt;&lt;head&gt;&lt;title&gt;&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;p&gt;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.&amp;nbsp\; They appear in methods known\, e.
 g.\, as radial basis functions\, kriging\, Gaussian processes\, or simply
  kernel-based methods.&amp;nbsp\; 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.&amp;nbsp\; 
 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.&amp;nbsp\; 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.&amp;n
 bsp\;&lt;/p&gt;&lt;/body&gt;&lt;/html&gt;
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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