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20052025
most citedUnsupervised Domain Adaptation using Generative Adversarial Networks for Semantic Segmentation of Aerial Images

216 citations

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Showing 2013 · math.APShow all

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math.AP2013★ 19 cited

Carleman Estimate and Inverse Source Problem for Biot's Equations Describing Wave Propagation in Porous Media

Mourad Bellassoued, Masahiro Yamamoto

According to Biot's paper in 1956, by using the Lagrangian equations in classical mechanics, we consider a problem of the filtration of a liquid in porous elastic-deformation media…

math.AP2013★ 1 cited

Determining the implied volatility in the Dupire equation for vanilla European call options

Mourad Bellassoued, Raymond Brummelhuis, Michel Cristofol +1

The Black-Scholes model gives vanilla Europen call option prices as a function of the volatility. We prove Lipschitz stability in the inverse problem of determining the implied vol…