Minimax rates for conditional distribution estimation on manifolds are established, with matching upper bounds from a hybrid wavelet and manifold estimator.
35 A.2 Smooth submanifold family and smooth conditional distributions Firstly we recall the definition of(β Y , βX )-smooth manifold family defined in Definition 4 of the main text
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Minimax Optimal Rates for Regression on Manifolds and Distributions
Minimax rates for conditional distribution estimation on manifolds are established, with matching upper bounds from a hybrid wavelet and manifold estimator.