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math.ST2019★ 9 cited
Adaptive Estimation of Multivariate Piecewise Polynomials and Bounded Variation Functions by Optimal Decision Trees
Sabyasachi Chatterjee, Subhajit Goswami
Proposed by Donoho (1997), Dyadic CART is a nonparametric regression method which computes a globally optimal dyadic decision tree and fits piecewise constant functions in two dime…
math.ST2019★ 10 cited
New Risk Bounds for 2D Total Variation Denoising
Sabyasachi Chatterjee, Subhajit Goswami
2D Total Variation Denoising (TVD) is a widely used technique for image denoising. It is also an important nonparametric regression method for estimating functions with heterogenou…