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We introduce an inertial variant of the forward-Douglas-Rachford splitting and analyze its convergence. We specify an instance of the proposed method to the three-composite convex minimization template. We provide practical guidance on the selection of the inertial parameter based on the adaptive starting idea. Finally, we illustrate the practical performance of our method in various machine learning applications.
Corentin Jean Dominique Fivet, Gennaro Senatore, Jan Friedrich Georg Brütting, Alex-Manuel Muresan, Ioannis Mirtsopoulos
Jan Skaloud, Davide Antonio Cucci, Aurélien Arnaud Brun