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UID:news1902@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250825T191230
DTSTART;TZID=Europe/Zurich:20250829T110000
SUMMARY:Seminar in Numerical Analysis: Dinh Dũng (Vietnam National Univers
 ity)
DESCRIPTION:We prove convergence rates of linear sampling recovery of funct
 ions in abstract Bochner spaces satisfying weighted summability of their g
 eneralized polynomial chaos expansion coefficients. The underlying algorit
 hm is a function-valued extension of the least squares method widely used 
 and thoroughly studied in scalar-valued function recovery.\\r\\nWe apply o
 ur theory to  collocation approximation of solutions to parametric ellipt
 ic or parabolic PDEs with log-normal random inputs and to relevant approxi
 mation of infinite dimensional holomorphic functions. The application allo
 ws us to significantly improve known results in Computational Uncertainty 
 Quantification for these problems. Our results are also applicable for par
 ametric PDEs with affine inputs\, where they match the known rates.\\r\\n\
 \r\\nFor further information about the seminar\, please visit this webpage
  [t3://page?uid=1115].
X-ALT-DESC:<p>We prove convergence rates of linear sampling recovery of fun
 ctions in abstract Bochner spaces satisfying weighted summability of their
  generalized polynomial chaos expansion coefficients. The underlying algor
 ithm is a function-valued extension of the least squares method widely use
 d and thoroughly studied in scalar-valued function recovery.</p>\n<p>We ap
 ply our theory to &nbsp\;collocation approximation of solutions to paramet
 ric elliptic or parabolic PDEs with log-normal random inputs and to releva
 nt approximation of infinite dimensional holomorphic functions. The applic
 ation allows us to significantly improve known results in Computational Un
 certainty Quantification for these problems. Our results are also applicab
 le for parametric PDEs with affine inputs\, where they match the known rat
 es.</p>\n\n<p>For further information about the seminar\, please visit thi
 s <a href="t3://page?uid=1115" title="Opens internal link in current windo
 w">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20250829T123000
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