4 papers · 1 filter
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)}…
Inexact Proximal Point and Tseng Algorithms with Nonsummable Errors to Solve Monotone Inclusions
Ba Khiet Le, Boris S. Mordukhovich, Michel A. Thera
In this paper, we establish, for the first time in the literature, the convergence of the practical versions of the Inexact Proximal Point Algorithm (IPPA) and the Inexact Tseng Al…
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…