BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//TYPO3/NONSGML News system (news)//EN
CALSCALE:GREGORIAN
X-WR-CALNAME;VALUE=TEXT:
BEGIN:VTIMEZONE
TZID:Europe/Zurich
TZURL:http://tzurl.org/zoneinfo/Europe/Zurich
X-LIC-LOCATION:Europe/Zurich
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:19810329T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:19961027T030000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
UID:news-1538@dmi.unibas.ch
DTSTAMP:20230915T113109
DTSTART;TZID=Europe/Zurich:20230929T110000
DTEND;TZID=Europe/Zurich:20230929T120000
SUMMARY:Seminar in Numerical Analysis: Rüdiger Kempf (U Bayreuth)
LOCATION:
DESCRIPTION:Reproducing kernel Hilbert spaces (RKHSs) and the closely rela
ted kernel methods are well-established and well-studied tool
s in classical approximation theory. More recently, they see ma
ny uses in other problems in applied and numerical analysis.\r\
nIn machine learning, support vector machines heavily rely on R
KHSs. For neural networks Barron spaces are connected to certai
n RKHSs and offer a possibility for a theoretical analysis of t
hese networks.\r\nAnother application of RKHSs is in high(er)-d
imensional approximation. For instance in the field of quasi Mo
nte-Carlo methods, kernel-techniques are used to derive an erro
r analysis for high-dimensional quadrature rules. We also devel
oped a novel kernel-based approximation method for higher-dimen
sional meshfree function reconstruction, based on Smolyak opera
tors.\r\nIn this talk I will provide an introduction into the t
heory of RKHSs, their kernels and associated kernel methods. In
particular, I will focus on a multiscale approximation scheme
for rescaled radial basis functions. This method will then be u
sed to derive the new tensor product multilevel method for hi
gher- dimensional meshfree approximation, which I will discuss
in detail.\r\n \r\nFor further information about the seminar,
please visit this webpage [https://dmi.unibas.ch/de/forschung/m
athematik/seminar-in-numerical-analysis/].
END:VEVENT
END:VCALENDAR