Author

Anastasis Kratsios

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Jul 2026

NeuralChaos: Optimal Adapted Approximation of Square Integrable Predictable Processes

NeuralChaos -- a neural operator architecture that produces elements of $\mathcal{H}^2_T(\mathbb{R}^{d})$ using only finitely many evaluations of the driving Brownian motion, while preserving predictability and square-integrability is introduced.

Anastasis Kratsios, Giulia Livieri, Philipp Schmocker · arXiv.org · 1 citation

#machine learning Preprint Sep 2026

A Closed-Form Formula for Consistent Lipschitz Regression on Metric Spaces with Sparse Neural Network Realizations

A high-probability uniform ($L^{\infty}$) recovery guarantee that jointly controls approximation and statistical errors while enjoying an optimization error of zero is introduced.

Rui-Yang Hong, Hrad Ghoukasian, Anastasis Kratsios · 0 citations