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math.OC2026
A Refined Parameter Condition in the Lyapunov Analysis of IGAHD
Samir Adly
In a recent paper, Attouch, Chbani, Fadili and Riahi introduced the inertial gradient algorithm with Hessian-driven daming, called (IGAHD). Under the condition ,…
math.OC2026
Dry-Friction Inertial Dynamics with Implicit Hessian-Driven Damping: Finite-Time Stabilization, Shadowing, and Proximal Discretization
Samir Adly
In a real Hilbert space , we study the following inertial differential inclusion where…
math.OC2026
Stationarity Floors and Vanishing Perturbations in Sharpness-Aware Minimization
Samir Adly, Ba Khiet Le
We study a deterministic family of sharpness-aware minimization methods for smooth nonconvex functions. The perturbation is $$ y_k=x_k+ρ\, \frac{\nabla f(x_k)}{\norm{\nabla f(x_k)}…