11 papers
Physics Matters in PnP: Recovery Guarantees with the MMSE and NN Denoisers
Tobias Wolf, Jalal Fadili, Jin Guo +1
We investigate the forward-backward-splitting version of the Plug and Play (PnP) method for linear ill-posed problems with MMSE estimators as denoisers. In contrast to existing lit…
Second order splitting dynamics for stochastic monotone inclusions with closed loop distribution
Wutao Si, Hamza Ennaji, Jalal Fadili
In this paper, we investigate the problem of finding a zero of the sum of a maximal monotone operator and a cocoercive operator $\Bm$ in a Hilbert space. This formulation natur…
The Iterates of Nesterov's Accelerated Algorithm Converge in The Critical Regimes
Radu Ioan Bot, Jalal Fadili, Dang-Khoa Nguyen
In this paper, we prove that the iterates of the accelerated Nesterov's algorithm in the critical regime do converge in the weak topology to a global minimizer of an -smooth fun…
Inexact and Stochastic Gradient Optimization Algorithms with Inertia and Hessian Driven Damping
Harsh Choudhary, Jalal Fadili, Vyachelav Kungurtsev
In a real Hilbert space setting, we study the convergence properties of an inexact gradient algorithm featuring both viscous and Hessian driven damping for convex differentiable op…
Convergence rates of regularized quasi-Newton methods without strong convexity
Shida Wang, Jalal Fadili, Peter Ochs
In this paper, we study convergence rates of the cubic regularized proximal quasi-Newton method (\csr) for solving non-smooth additive composite problems that satisfy the so-called…
Inertial Methods with Viscous and Hessian driven Damping for Non-Convex Optimization
Rodrigo Maulen-Soto, Jalal Fadili, Peter Ochs
In this paper, we aim to study non-convex minimization problems via second-order (in-time) dynamics, including a non-vanishing viscous damping and a geometric Hessian-driven dampin…