AINeutralarXiv – CS AI · 5h ago5/10
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A Temporal Spatial Minimax Rate for Smoothly-Varying Distributions in Wasserstein Space
A new mathematical framework establishes minimax rates for predicting future probability distributions in Wasserstein space based on noisy observations of smoothly-varying curves. The research provides both lower bounds and conditional upper bounds for distribution estimation, revealing how prediction accuracy degrades with dimensionality and unobserved future time horizons.