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math.OC2023★ 6 cited
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…
math.OC2023★ 1 cited
Fast convex optimization via closed-loop time scaling of gradient dynamics
Hedy Attouch, Radu Ioan Bot, Dang-Khoa Nguyen
In a Hilbert setting, for convex differentiable optimization, we develop a general framework for adaptive accelerated gradient methods. They are based on damped inertial dynamics w…