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Since the breakthrough of CT, many innovative concepts have been developed such as dynamic imaging, photoacoustic tomography, Compton imaging, etc, and studied via associated inverse problems. Each novel technique brings new mathematical challenges and technical constraints. The limited data issue constitutes the most common constraint and one of the main challenges. In this case, a substantial part of the data are unavailable changing deeply the nature of the ill-posed problem and making image reconstruction more complex. This minisymposium will bring together researchers from the inverse problems and imaging communities related to this issue and will promote discussions among participants.