 Sabyasachi Chatterjee

Sabyasachi Chatterjee coauthored improved risk bounds for isotonic regression with Adityanand Guntuboyina and Bodhisattva Sen. The monotone least-squares estimator achieves a range of rates depending on the underlying sequence, including nearly parametric behavior for constant signals. Their local minimax analysis explains why more rapidly varying monotone signals are intrinsically harder to estimate.^[ref]