5 papers
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 ,…
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…
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)}…
New General Fixed-Point Approach to Compute the Resolvent of Composite Operators
Samir Adly, Ba Khiet Le
In this paper, we propose a new general and stable fixed-point approach to compute the resolvents of the composition of a set-valued maximal monotone operator with a linear bounded…
Sliding Mode Observers for Set-valued Lur'e Systems with Uncertainties Beyond Observational Range
Samir Adly, Jun Huang, Ba Khiet Le
In this paper, we introduce a new sliding mode observer for Lur'e set-valued dynamical systems, particularly addressing challenges posed by uncertainties not within the standard ra…