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Watch this 56-minute seminar presentation where Professor Shari Moskow from Drexel University explores the combination of data-driven reduced order models with the Lippmann-Schwinger integral equation to create a direct nonlinear inversion method. Learn how ROM functions as a Galerkin projection and maintains sparsity through Lanczos orthogonalization, leading to the production of data-driven internal solutions. Discover the application of these internal solutions within the Lippmann-Schwinger equation in both direct and iterative frameworks, enabling the processing of more general transfer functions compared to previous ROM-based inversion algorithms. Examine practical examples of this methodology applied to spectral domain MIMO problems and time domain monostatic data, with specific focus on synthetic aperture radar applications.