math.ST · 2026-06-08 · No. 17

Statistics Theory, 2026-06-08.

1 new papers in math.ST. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    A Temporal Spatial Minimax Rate for Smoothly-Varying Distributions in Wasserstein Space

    Munsik Kim

    math.ST · cs.AI · cs.IT

    We study the minimax rate of estimating a future value $μ_{t_n+h}$ of a curve $t\mapstoμ_t$ in the $2$-Wasserstein space $\mathcal{P}_2(\mathbb{R}^d)$ from finitely many noisy snapshots of its past, under an adiabatic bound $\|\nabla_t^k v\|\le\varepsilon$ on the $k$-th covariant derivative of the velocity field. Our central result is a unified temporal-spatial minimax lower bound: over regular, locally transport-rich subclasses, every...

    arxiv.org/abs/2606.07325 · PDF

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