141 citations · 297 across the 30 of their papers we have counts for
3 papers · 1 filter
On risk bounds in isotonic and other shape restricted regression problems
Sabyasachi Chatterjee, Adityanand Guntuboyina, Bodhisattva Sen
We consider the problem of estimating an unknown from noisy observations under the constraint that belongs to certain convex polyhedral cones in ${\mathbb…
Global risk bounds and adaptation in univariate convex regression
Adityanand Guntuboyina, Bodhisattva Sen
We consider the problem of nonparametric estimation of a convex regression function . We study the risk of the least squares estimator (LSE) under the natural squared error lo…
Sharp Inequalities for -divergences
Adityanand Guntuboyina, Sujayam Saha, Geoffrey Schiebinger
-divergences are a general class of divergences between probability measures which include as special cases many commonly used divergences in probability, mathematical statistic…