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BEGIN:VEVENT
UID:33f793de57ce08da6144353315884449
CATEGORIES:Applied and Computational Math Seminar
CREATED:20231101T213940
SUMMARY:The Lippmann Schwinger Lanczos algorithm for inverse scattering problems
LOCATION:Hill 525
DESCRIPTION:We combine data-driven reduced order models with the Lippmann-Schwinger int
 egral equation to produce a direct nonlinear inversion method. The ROM is v
 iewed as a Galerkin projection and is sparse due to Lanczos orthogonalizati
 on. Embedding into the continuous problem, a data-driven internal solution 
 is produced. This internal solution is then used in the Lippmann-Schwinger 
 equation, in a direct or iterative framework. The approach allows us to pro
 cess more general transfer functions than the earlier versions of the ROM b
 ased inversion algorithms.  We give examples of its use for spectral domain
  MIMO problems and in the time domain given mono static data, targeting syn
 thetic aperture radar. Authors: Vladimir Druskin, Shari Moskow, Mikhail Zas
 lavsky\n
X-ALT-DESC;FMTTYPE=text/html:<p><span style="color: #242424; font-family: 'Segoe UI', 'Segoe UI Web (Wes
 t European)', 'Segoe UI', -apple-system, BlinkMacSystemFont, Roboto, 'Helve
 tica Neue', sans-serif; font-size: 15px; font-style: normal; font-weight: 4
 00; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px
 ; text-transform: none; widows: 2; word-spacing: 0px; white-space: normal; 
 background-color: #ffffff; float: none;">We combine data-driven reduced ord
 er models with the Lippmann-Schwinger integral equation to&nbsp;produce a d
 irect nonlinear inversion method. The ROM is viewed as a Galerkin projectio
 n and is sparse due to&nbsp;Lanczos orthogonalization. Embedding into the c
 ontinuous problem, a data-driven internal solution is produced.&nbsp;This i
 nternal solution is then used in the Lippmann-Schwinger equation, in a dire
 ct or iterative framework. The&nbsp;approach allows us to process more gene
 ral transfer functions than the earlier versions of the ROM based&nbsp;inve
 rsion algorithms. &nbsp;We give examples of its use for spectral domain MIM
 O problems and in the time domain&nbsp;given mono static data, targeting sy
 nthetic aperture radar.&nbsp;</span><br aria-hidden="true" style="color: #2
 42424; font-family: 'Segoe UI', 'Segoe UI Web (West European)', 'Segoe UI',
  -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; f
 ont-size: 15px; font-style: normal; font-weight: 400; letter-spacing: norma
 l; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; w
 idows: 2; word-spacing: 0px; white-space: normal; background-color: #ffffff
 ;"><br aria-hidden="true" style="color: #242424; font-family: 'Segoe UI', '
 Segoe UI Web (West European)', 'Segoe UI', -apple-system, BlinkMacSystemFon
 t, Roboto, 'Helvetica Neue', sans-serif; font-size: 15px; font-style: norma
 l; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start;
  text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; whit
 e-space: normal; background-color: #ffffff;"><span style="color: #242424; f
 ont-family: 'Segoe UI', 'Segoe UI Web (West European)', 'Segoe UI', -apple-
 system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-size
 : 15px; font-style: normal; font-weight: 400; letter-spacing: normal; orpha
 ns: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2
 ; word-spacing: 0px; white-space: normal; background-color: #ffffff; float:
  none;">Authors: Vladimir Druskin, Shari Moskow, Mikhail Zaslavsky</span></
 p>
CONTACT:Shari Moskow (Drexel University)
DTSTAMP:20260826T164726
DTSTART;TZID=America/New_York:20231107T110000
DTEND;TZID=America/New_York:20231107T120000
SEQUENCE:0
TRANSP:OPAQUE
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