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math.ST2022★ 2 cited
Exponential Family Trend Filtering on Lattices
Veeranjaneyulu Sadhanala, Robert Bassett, James Sharpnack +1
Trend filtering is a modern approach to nonparametric regression that is more adaptive to local smoothness than splines or similar basis procedures. Existing analyses of trend filt…
math.ST2016★ 47 cited
Total Variation Classes Beyond 1d: Minimax Rates, and the Limitations of Linear Smoothers
Veeranjaneyulu Sadhanala, Yu-Xiang Wang, Ryan Tibshirani
We consider the problem of estimating a function defined over locations on a -dimensional grid (having all side lengths equal to ). When the function is constrained…