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Stochastically Transitive Models for Pairwise Comparisons: Statistical and Computational Issues
- Nihar B. Shah, Sivaraman Balakrishnan, Adityanand Guntuboyina, M. Wainwright
- Computer ScienceIEEE Transactions on Information Theory
- 19 October 2015
TLDR
On risk bounds in isotonic and other shape restricted regression problems
- S. Chatterjee, Adityanand Guntuboyina, B. Sen
- Mathematics, Computer Science
- 15 November 2013
TLDR
Global risk bounds and adaptation in univariate convex regression
- Adityanand Guntuboyina, B. Sen
- Mathematics
- 7 May 2013
We consider the problem of nonparametric estimation of a convex regression function $$\phi _0$$ϕ0. We study the risk of the least squares estimator (LSE) under the natural squared error loss. We show…
Covering Numbers for Convex Functions
- Adityanand Guntuboyina, B. Sen
- Computer ScienceIEEE Transactions on Information Theory
- 31 March 2012
TLDR
Adaptive risk bounds in univariate total variation denoising and trend filtering
- Adityanand Guntuboyina, Donovan Lieu, S. Chatterjee, B. Sen
- MathematicsThe Annals of Statistics
- 16 February 2017
We study trend filtering, a relatively recent method for univariate nonparametric regression. For a given positive integer $r$, the $r$-th order trend filtering estimator is defined as the minimizer…
Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy–Krause variation
- Billy Fang, Adityanand Guntuboyina, B. Sen
- Mathematics, Computer Science
- 4 March 2019
TLDR
On matrix estimation under monotonicity constraints
- S. Chatterjee, Adityanand Guntuboyina, B. Sen
- Mathematics, Computer Science
- 10 June 2015
TLDR
Lower Bounds for the Minimax Risk Using $f$-Divergences, and Applications
- Adityanand Guntuboyina
- Computer Science, MathematicsIEEE Transactions on Information Theory
- 30 January 2010
TLDR
Optimal rates of convergence for convex set estimation from support functions
- Adityanand Guntuboyina
- Mathematics, Computer Science
- 26 August 2011
TLDR
Spatial Adaptation in Trend Filtering
- Adityanand Guntuboyina, Donovan Lieu, S. Chatterjee, B. Sen
- Mathematics
- 20 February 2017
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