366 citations · 967 across the 53 of their papers we have counts for
4 papers · 1 filter
Discrete-to-Continuum Rates of Convergence for -Laplacian Regularization
Adrien Weihs, Jalal Fadili, Matthew Thorpe
Higher-order regularization problem formulations are popular frameworks used in machine learning, inverse problems and image/signal processing. In this paper, we consider the compu…
Geometric characterizations for strong minima with applications to nuclear norm minimization problems
Jalal Fadili, Tran T. A. Nghia, Duy Nhat Phan
In this paper, we introduce several geometric characterizations for strong minima of optimization problems. Applying these results to nuclear norm minimization problems allows us t…
Convergence Guarantees of Overparametrized Wide Deep Inverse Prior
Nathan Buskulic, Yvain Quéau, Jalal Fadili
Neural networks have become a prominent approach to solve inverse problems in recent years. Amongst the different existing methods, the Deep Image/Inverse Priors (DIPs) technique i…
Continuous Newton-like Methods featuring Inertia and Variable Mass
Camille Castera, Hedy Attouch, Jalal Fadili +1
We introduce a new dynamical system, at the interface between second-order dynamics with inertia and Newton's method. This system extends the class of inertial Newton-like dynamics…