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Seminar for Applied Mathematics
 
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SAM Kolloquia

Wednesday
May 30, 2012
Helmut Bölcskei , Institut für Kommunikationstechnik, ETH Zürich
Compressive identification of linear operators
Time: 16:15-17:15 / Place: HG E 1.2
Invited by: Ph. Grohs


Abstract: We consider the problem of identifying a linear deterministic operator from an input-output measurement. For the large class of continuous (and hence bounded) operators, under additional mild restrictions, we show that stable identifiability is possible if the total support area of the operator's spreading function satisfies Δ ≤ ½. This result holds for arbitrary (possibly fragmented) support regions of the spreading function, does not impose limitations on the total extent of the support region, and, most importantly, does not require the support region of the spreading function to be known prior to identification. Furthermore, we prove that asking for identifiability of only almost all operators, stable identifiability is possible if Δ ≤ 1. This result is surprising as it says that there is no penalty for not knowing the support region of the spreading function prior to identification.
Wednesday
September 26, 2012
Arieh Iserles , Cambridge University, UK
Title: will be announced later
Time: 16:15-17:15 / Place: HG E 1.2
Invited by: Ph. Grohs


Monday
October 1, 2012
Karen Willcox , MIT, USA
Title: will be announced later
Time: 16:15-17:15 / Place: tba
Invited by: C. Schwab



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