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Thanh Nguyen-Cung

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Preprint Aug 2026

Inertia-Sensitive Kreiss Bounds for $J$-Selfadjoint Matrices

Let $A \in \mathbb{C}^{n \times n}$ have spectrum in the closed unit disk. Its maximal power growth $\operatorname{Power}(A) := \sup_{k \ge 0} \Vert{}A^k\Vert{}$ measures transient amplification, whereas the Kreiss constant $\operatorname{Kreiss}(A) := \sup_{\vert{}z\vert{}>1} (\vert{}z\vert{}-1) \Vert{}(zI-A)^{-1}\Ver...

Thanh Nguyen-Cung, B. T. Nguyen · 0 citations

#machine learning Preprint Aug 2026

Logarithmic-Free Moment and Generalization Bounds for Uniformly Stable Algorithms

Uniform stability is a classical tool for controlling the generalization error of a learning algorithm. Bousquet, Klochkov, and Zhivotovskiy (2020) showed that the problem can be reduced to a moment inequality for a sum of weakly interacting functions of independent random variables. Their bound contains an additional...

Thanh Nguyen-Cung, B. T. Nguyen · 1 citation