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A large number of Imaging and Big Data applications can be modeled as large-scale optimization problems. Numerical methods that both guarantee some theoretical properties and give good performance are needed when dealing with those problems. The aim of this minisyposium is to describe some novel techniques for such data-intensive applications, as well as emerging challenges in the area. The speakers shall particularly talk about recent interesting applications of optimization techniques to solve problems arising from imaging science, signal processing, wireless communications, machine learning, data mining, information theory, and statistics.