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What is Learnable in Valiant's Theory of the Learnable? 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Statistical Inference for Fractional Diffusions
Pablo Ramses Alonso-Martin, Horatio Boedihardjo, Anastasia Papav · 2026-04-04 · via math.ST updates on arXiv.org

This is a review of statistical inference methodology for stochastic differential equations driven by fractional Brownian motion, otherwise called fractional diffusions. The first section reviews the theory needed to rigorously define them. The second section reviews existing theory of statistical inference for fractional diffusions, identifies remaining challenges and introduces a novel approach. The final section discusses results for the case where fractional diffusions result as a homogenisation limit.

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