Adityanand Guntuboyina contributed to risk bounds for isotonic regression with Sabyasachi Chatterjee and Bodhisattva Sen. They quantified how the error of the monotone least-squares estimator depends on the shape of the true sequence. Nearly flat signals permit faster estimation than uniformly increasing signals, an example of adaptation to structure without specifying that structure in advance.[ref]
Improved Risk Bounds in Isotonic Regression by Sabyasachi Chatterjee and others. Abstract and Introduction, equations (5)–(6)
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