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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20230204T093824Z
DTSTART:20230208T150000Z
DTEND:20230208T160000Z
SUMMARY:SQUIDS Seminar: Bertrand Gauthier - Kernel quadrature rules and l
ow-rank approximation
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}rrv-lcsuzom
v-lfim71
DESCRIPTION:Join us for this research seminar\, part of the SQUIDS (Stati
stics\, quantification of uncertainty\, inverse problems and data scienc
e) seminar series.\n\nAbstract: Integral operators with positive-semidef
inite (PSD) kernels play a central role in kernel methods\; as an import
ant instance\, this class of operators encompasses the PSD matrices\, em
phasising its widespreadness in Mathematics and Data Science. In this ta
lk\, we will describe how trace-class integral operators with PSD kernel
s can be isometrically represented as potentials\, or kernel embeddings
of measures\, in RKHSs with squared-modulus kernels. We will then discus
s the parallels between the approximation of such operators or matrices
and the characterisation of low-maximum-mean-discrepancy configurations
in RKHSs with squared-modulus kernels. Finally\, we will present various
sampling-based approximation strategies which leverage such isometric r
epresentations.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 2\, Alan Turing Building\, Manchester
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