Quantile total variation denoising admits an exact minmax characterization of its fitted values as compact intervals whose endpoints are given by minmax functionals of local order statistics.
Statistics & Probability Letters , volume =
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An Exact Pointwise Characterization for Total Variation Denoising in Quantile Regression
Quantile total variation denoising admits an exact minmax characterization of its fitted values as compact intervals whose endpoints are given by minmax functionals of local order statistics.