most citedAdaptive Risk Bounds in Univariate Total Variation Denoising and Trend Filtering

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math.ST2017★ 13 cited

Adaptive Risk Bounds in Univariate Total Variation Denoising and Trend Filtering

Adityanand Guntuboyina, Donovan Lieu, Sabyasachi Chatterjee +1

We study trend filtering, a relatively recent method for univariate nonparametric regression. For a given positive integer , the -th order trend filtering estimator is define…