The EXPOWER project (led by Annie Cuyt, University of Antwerp) combines a broad spectrum of key research and training activities on Multi-Exponential Analysis with applications in industry, that are currently being undertaken in some premier research institutes. The network is interdisciplinary, intersectoral, unconventional and ambitious. It is unconventional in the sense that it connects stakeholders from seemingly separately developed fields: computational harmonic analysis, numerical linear algebra, computer algebra, nonlinear approximation theory, digital signal processing and their applications, in one and more variables. It is ambitious because the consortium stretches from mathematics to computational science and engineering and industry.