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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Guangqu Zheng

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Preprint Sep 2026

Gamma approximation and Poisson--Gaussian invariance principle on Poisson chaos

We study centered Gamma approximation and a same-kernel Poisson--Gaussian invariance principle on fixed Poisson chaoses. For Gamma approximation, a martingale-core argument extends the carr\'e-du-champ and $d_2$ estimates of D\"obler and Peccati (Ann. Probab., 2018) from regular kernels to every fourth-integrable chaos...

D. Milesis, Guangqu Zheng · 0 citations
Preprint Jul 2026

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core

For any finite family of Poisson multiple integrals and any finite $p\geq2$, we construct a common increasing filtration generated by finitely many exact Poisson counts such that the associated conditional expectations converge in $L^p$, remain in their original chaoses, and have bounded step kernels with finite-measur...

Guangqu Zheng · 1 citation · ⚡1

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