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UID:news270@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20180716T230659
DTSTART;TZID=Europe/Zurich:20131206T110000
SUMMARY:Seminar in Numerical Analysis: Mario S. Mommer (Universität Heidel
 berg)
DESCRIPTION:Optimum experimental design (OED) is the problem of finding set
 ups for an experiment in such a way that the collected data allows for opt
 imally accurate estimation of the parameters of interest - taking into acc
 ount an experimental budget. In practice\, the parameters are only approxi
 mately known as a matter of course\, while at the same time\, solving an O
 ED problem is in a way equivalent to magnifying the dependence of the syst
 em response on these quantities.  As a consequence\, designs computed on 
 the basis of a "good guess" of the parameters may underperform dramaticall
 y in practice\, especially for problems involving nonlinear models.\\r\\nI
 n this talk\, we consider robust formulations for optimum experimental des
 ign that work under significant uncertainty. Our focus is on problem setti
 ngs in which the model is described by differential equations of some type
  that are solved numerically. Our approach is based on a semi-infinite pro
 gramming formulation in which we exploit additional problem structure\, to
 gether with sparse grids\, to ensure tractability. The talk includes numer
 ical experiments to illustrate and compare the effectiveness of the approa
 ches.
X-ALT-DESC:Optimum experimental design (OED) is the problem of finding setu
 ps for an experiment in such a way that the collected data allows for opti
 mally accurate estimation of the parameters of interest - taking into acco
 unt an experimental budget. In practice\, the parameters are only approxim
 ately known as a matter of course\, while at the same time\, solving an OE
 D problem is in a way equivalent to magnifying the dependence of the syste
 m response on these quantities.&nbsp\; As a consequence\, designs computed
  on the basis of a &quot\;good guess&quot\; of the parameters may underper
 form dramatically in practice\, especially for problems involving nonlinea
 r models.\nIn this talk\, we consider robust formulations for optimum expe
 rimental design that work under significant uncertainty. Our focus is on p
 roblem settings in which the model is described by differential equations 
 of some type that are solved numerically. Our approach is based on a semi-
 infinite programming formulation in which we exploit additional problem st
 ructure\, together with sparse grids\, to ensure tractability. The talk in
 cludes numerical experiments to illustrate and compare the effectiveness o
 f the approaches. 
DTEND;TZID=Europe/Zurich:20131206T120000
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