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Explore the latest advancements in waveform inversion through this comprehensive webinar from the SIAM Geosciences Webinar Series. Delve into the challenges of full waveform inversion, a technique for estimating properties of complex mediums with variable coefficients in wave equations. Examine the limitations of existing inversion methods, particularly in nonlinear least squares data fit optimization, due to the non-convex nature of the objective function. Discover an innovative approach utilizing reduced order models (ROMs), specifically data-driven ROMs derived directly from measurements without knowledge of the inaccessible medium's wave field. Learn how these ROMs, computed from probing signals, offer a unique perspective, capturing essential features of wave propagation and demonstrating surprisingly effective approximation properties that enhance waveform inversion. Gain insights from Jorn Zimmerling of the University of Uppsala as he presents this cutting-edge research in geosciences.