?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fwww.eledia.org%2Fstudents-reports%2F408%2F&rft.title=An+Integrated+Multi-Scaling+Strategy+based+on+a+Particle+Swarm+Algorithm+for+Inverse+Scattering+Problems&rft.creator=Donelli%2C+Massimo&rft.creator=Franceschini%2C+Gabriele&rft.creator=Martini%2C+Anna&rft.creator=Massa%2C+Andrea&rft.subject=TU+Technical+Reports+and+Publications&rft.description=The+application+of+a+multiscale+strategy+integrated+with+a+stochastic+technique+to+the+solution+of+nonlinear+inverse+scattering+problems+is+presented.+The+approach+allows+for+the+explicit+and+easy+handling+of+many+difficulties+associated+with+such+a+problem+ranging+from+ill-conditioning+to+nonlinearity+and+false+solutions+drawback.+The+choice+of+a+finite+dimensional+representation+for+the+unknowns%2C+due+to+the+upper+bound+to+the+essential+dimension+of+the+data%2C+is+iteratively+accomplished+by+means+of+an+adaptive+multi-resolution+model%2C+which+offers+considerable+flexibility+for+the+inclusion+of+the+a-priori+knowledge+and+of+the+knowledge+acquired+during+the+iterative+steps+of+the+multiscaling+process.+Even+though+a+suitable+representation+of+the+unknowns+could+limit+the+local+minima+problem%2C+the+multi-resolution+strategy+is+integrated+with+a+customized+stochastic+optimizer+based+on+the+behavior+of+a+particle+swarm+(PSO)%2C+which+allows+to+prevent+that+nonlinearity+could+induce+the+solution+algorithm+into+false+solutions+without+a+large+increasing+of+the+overall+computational+burden.+Selected+examples+are+presented+by+considering+a+two-dimensional+microwave+imaging+problem+so+as+to+illustrate+the+key+features+of+the+integrated+stochastic+multi-scaling+strategy.&rft.date=2004-10&rft.type=Technical+Report&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=http%3A%2F%2Fwww.eledia.org%2Fstudents-reports%2F408%2F1%2FDIT-04-081.pdf&rft.identifier=++Donelli%2C+Massimo+and+Franceschini%2C+Gabriele+and+Martini%2C+Anna+and+Massa%2C+Andrea++(2004)+An+Integrated+Multi-Scaling+Strategy+based+on+a+Particle+Swarm+Algorithm+for+Inverse+Scattering+Problems.++%5BTechnical+Report%5D++++(In+Press)++