Matches in SemOpenAlex for { <https://semopenalex.org/work/W3039005107> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W3039005107 endingPage "8039" @default.
- W3039005107 startingPage "8034" @default.
- W3039005107 abstract "We present lift and relax for waveform inversion (LRWI), an approach that mitigates the local minima issue in seismic full waveform inversion (FWI) via a combination of two convexification techniques. The first technique (Lift) extends the set of unknown variables to their products, arranged as a moment matrix. This algebraic idea is a celebrated way to replace a hard polynomial optimization problem by a semidefinite programming approximation. Concretely, both the model and the wavefield are lifted from vectors to rank-2 matrices. The second technique (Relax) invites to relax the strict wave-equation constraint-a technique known as wavefield reconstruction inversion (WRI), which introduces wave-equation misfits as a weighted penalty term in the objective function. The relaxed penalty formulation enables balancing the data and wave-equation misfits by tuning a penalty parameter. Together, “Lift” and “Relax” help reformulate the inverse problem as a set of constraints on a rank-2 moment matrix. Such a lifting strategy permits good data and wave equation fits throughout the inversion process while leaving the numerical rank of the rank-2 moment matrix to be minimized down to one. Moreover, LRWI does not require adjoint wavefield to compute the gradient, which mitigates computational burdens. Numerical examples indicate that starting with a poor initial model, LRWI can conduct successful inversions with a starting frequency that is higher than that required by FWI and WRI." @default.
- W3039005107 created "2020-07-10" @default.
- W3039005107 creator A5034605089 @default.
- W3039005107 creator A5035951153 @default.
- W3039005107 date "2021-09-01" @default.
- W3039005107 modified "2023-10-16" @default.
- W3039005107 title "Lift and Relax for PDE-Constrained Inverse Problems in Seismic Imaging" @default.
- W3039005107 cites W1967344706 @default.
- W3039005107 cites W2045642993 @default.
- W3039005107 cites W2063889797 @default.
- W3039005107 cites W2069383344 @default.
- W3039005107 cites W2069624343 @default.
- W3039005107 cites W2090636411 @default.
- W3039005107 cites W2100245965 @default.
- W3039005107 cites W2111936335 @default.
- W3039005107 cites W2120704348 @default.
- W3039005107 cites W2170606793 @default.
- W3039005107 cites W2185495855 @default.
- W3039005107 cites W2320622231 @default.
- W3039005107 cites W2321772449 @default.
- W3039005107 cites W2321873934 @default.
- W3039005107 cites W2322448291 @default.
- W3039005107 cites W2522338163 @default.
- W3039005107 cites W2601418948 @default.
- W3039005107 cites W2963606666 @default.
- W3039005107 cites W3029645440 @default.
- W3039005107 cites W3102747040 @default.
- W3039005107 doi "https://doi.org/10.1109/tgrs.2020.3037856" @default.
- W3039005107 hasPublicationYear "2021" @default.
- W3039005107 type Work @default.
- W3039005107 sameAs 3039005107 @default.
- W3039005107 citedByCount "0" @default.
- W3039005107 crossrefType "journal-article" @default.
- W3039005107 hasAuthorship W3039005107A5034605089 @default.
- W3039005107 hasAuthorship W3039005107A5035951153 @default.
- W3039005107 hasBestOaLocation W30390051072 @default.
- W3039005107 hasConcept C101901036 @default.
- W3039005107 hasConcept C109007969 @default.
- W3039005107 hasConcept C11413529 @default.
- W3039005107 hasConcept C124101348 @default.
- W3039005107 hasConcept C126255220 @default.
- W3039005107 hasConcept C134306372 @default.
- W3039005107 hasConcept C135252773 @default.
- W3039005107 hasConcept C139002025 @default.
- W3039005107 hasConcept C151730666 @default.
- W3039005107 hasConcept C159737794 @default.
- W3039005107 hasConcept C186633575 @default.
- W3039005107 hasConcept C1893757 @default.
- W3039005107 hasConcept C2524010 @default.
- W3039005107 hasConcept C28826006 @default.
- W3039005107 hasConcept C33923547 @default.
- W3039005107 hasConcept C39267094 @default.
- W3039005107 hasConcept C41008148 @default.
- W3039005107 hasConcept C59696629 @default.
- W3039005107 hasConcept C86803240 @default.
- W3039005107 hasConceptScore W3039005107C101901036 @default.
- W3039005107 hasConceptScore W3039005107C109007969 @default.
- W3039005107 hasConceptScore W3039005107C11413529 @default.
- W3039005107 hasConceptScore W3039005107C124101348 @default.
- W3039005107 hasConceptScore W3039005107C126255220 @default.
- W3039005107 hasConceptScore W3039005107C134306372 @default.
- W3039005107 hasConceptScore W3039005107C135252773 @default.
- W3039005107 hasConceptScore W3039005107C139002025 @default.
- W3039005107 hasConceptScore W3039005107C151730666 @default.
- W3039005107 hasConceptScore W3039005107C159737794 @default.
- W3039005107 hasConceptScore W3039005107C186633575 @default.
- W3039005107 hasConceptScore W3039005107C1893757 @default.
- W3039005107 hasConceptScore W3039005107C2524010 @default.
- W3039005107 hasConceptScore W3039005107C28826006 @default.
- W3039005107 hasConceptScore W3039005107C33923547 @default.
- W3039005107 hasConceptScore W3039005107C39267094 @default.
- W3039005107 hasConceptScore W3039005107C41008148 @default.
- W3039005107 hasConceptScore W3039005107C59696629 @default.
- W3039005107 hasConceptScore W3039005107C86803240 @default.
- W3039005107 hasFunder F4320332434 @default.
- W3039005107 hasFunder F4320338279 @default.
- W3039005107 hasIssue "9" @default.
- W3039005107 hasLocation W30390051071 @default.
- W3039005107 hasLocation W30390051072 @default.
- W3039005107 hasLocation W30390051073 @default.
- W3039005107 hasOpenAccess W3039005107 @default.
- W3039005107 hasPrimaryLocation W30390051071 @default.
- W3039005107 hasRelatedWork W1495761755 @default.
- W3039005107 hasRelatedWork W1982662711 @default.
- W3039005107 hasRelatedWork W2022612242 @default.
- W3039005107 hasRelatedWork W2035875211 @default.
- W3039005107 hasRelatedWork W2102176672 @default.
- W3039005107 hasRelatedWork W2330528947 @default.
- W3039005107 hasRelatedWork W2387902160 @default.
- W3039005107 hasRelatedWork W2970094834 @default.
- W3039005107 hasRelatedWork W4376122642 @default.
- W3039005107 hasRelatedWork W2125985145 @default.
- W3039005107 hasVolume "59" @default.
- W3039005107 isParatext "false" @default.
- W3039005107 isRetracted "false" @default.
- W3039005107 magId "3039005107" @default.
- W3039005107 workType "article" @default.