Author

B. K. Le

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Open access 2020

Existence of Solutions for Sweeping Processes with Local Conditions

Sweeping processes, introduced by J. J. Moreau, have been studied significantly in recent years due to their interesting applications in practice. However, most of the researches use the global Hausdorff distance to describe the movement of the moving set, which is probably not satisfied for unbounded cases. In this pa...

B. K. Le · Journal of Convex Analysis · 4 citations

Preprint Aug 2026

Stationarity Floors and Vanishing Perturbations in Sharpness-Aware Minimization

We study a deterministic family of sharpness-aware minimization methods for smooth nonconvex functions. The perturbation is $$ y_k=x_k+\rho\, \frac{\nabla f(x_k)}{\norm{\nabla f(x_k)}^\alpha}, \qquad 0\leq\alpha\leq 1, $$ so that its effective radius is $\rho\norm{\nabla f(x_k)}^{1-\alpha}$. For $0<\alpha\leq1$, we giv...

Samir Adly, B. K. Le · 0 citations