2 problems

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Minimax Wasserstein-1 rate conjecture for one-dimensional ordinary-smooth deconvolution
Let $d=1$ , let the error distribution belong to a class of ordinary-smooth error distributions of order $\beta$ , and measure the integrated deconvolution risk through the Wasserste…
Conjectureopendeconvolution ordinary-smooth-errors wasserstein-distancearXiv posted 2 days ago
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Fan's conjecture on optimal pointwise rates for ordinary-smooth deconvolution
Consider pointwise estimation of a cumulative distribution function when the unknown density is $m$ times differentiable and the error distribution is ordinary smooth. Fan's conjec…
Conjectureopendeconvolution minimax-rates ordinary-smooth-errorsarXiv posted 2 days ago

Minimax Wasserstein-1 rate conjecture for one-dimensional ordinary-smooth deconvolution