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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

Xin Jin

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Preprint Sep 2026

Sieve Estimation of Optimal Transport Maps from Paired Data in Gaussian Spaces

We study the estimation of infinite-dimensional optimal transport maps from noisy paired observations. The population map pushes a Gaussian reference measure forward to a target probability measure on a function space and takes the Cameron--Martin gradient form $T=I+\nabla_{\mathcal H}\phi$. Our estimator uses cylindri...

Xin Jin, Kit Chan, Riddhi Ghosh · 0 citations
Preprint Sep 2026

Sieve Estimation of Optimal Transport Maps from Paired Data in Gaussian Spaces

We estimate optimal transport maps on an infinite-dimensional Hilbert space with a Gaussian reference measure, from noisy paired observations. A source draw is seen together with a noisy evaluation of its image, rather than through independent unpaired samples. The estimator is a cylindrical sieve of Cameron--Martin gr...

Xin Jin, Kit Chan, Riddhi Ghosh · 0 citations

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