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Nonparametric Least Squares Estimation of a Multivariate Convex
  Regression Function
v1v2v3 (latest)

Nonparametric Least Squares Estimation of a Multivariate Convex Regression Function

24 March 2010
E. Seijo
B. Sen
ArXiv (abs)PDFHTML

Papers citing "Nonparametric Least Squares Estimation of a Multivariate Convex Regression Function"

50 / 52 papers shown
Kernel-Based Nonparametric Tests For Shape Constraints
Kernel-Based Nonparametric Tests For Shape Constraints
Rohan Sen
223
0
0
19 Oct 2025
Convex Regression with a Penalty
Convex Regression with a Penalty
Eunji Lim
106
1
0
24 Sep 2025
Optimal Confidence Bands for Shape-restricted Regression in
  Multidimensions
Optimal Confidence Bands for Shape-restricted Regression in Multidimensions
Ashley Datta
Datta
Somabha Mukherjee
Bodhisattva Sen
235
0
0
23 Jan 2024
On the Variance, Admissibility, and Stability of Empirical Risk Minimization
On the Variance, Admissibility, and Stability of Empirical Risk MinimizationNeural Information Processing Systems (NeurIPS), 2023
Gil Kur
E. Putterman
Alexander Rakhlin
326
7
0
29 May 2023
Mixed Regression via Approximate Message Passing
Mixed Regression via Approximate Message PassingJournal of machine learning research (JMLR), 2023
Nelvin Tan
R. Venkataramanan
346
7
0
05 Apr 2023
Learning linear dynamical systems under convex constraints
Learning linear dynamical systems under convex constraints
Hemant Tyagi
D. Efimov
401
3
0
27 Mar 2023
Finding Regularized Competitive Equilibria of Heterogeneous Agent
  Macroeconomic Models with Reinforcement Learning
Finding Regularized Competitive Equilibria of Heterogeneous Agent Macroeconomic Models with Reinforcement LearningInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Ruitu Xu
Yifei Min
Tianhao Wang
Zhaoran Wang
Michael I. Jordan
Zhuoran Yang
253
8
0
24 Feb 2023
Data-Driven Sample Average Approximation with Covariate Information
Data-Driven Sample Average Approximation with Covariate Information
R. Kannan
G. Bayraksan
James R. Luedtke
620
56
0
27 Jul 2022
An Efficient Minimax Optimal Estimator For Multivariate Convex Regression
An Efficient Minimax Optimal Estimator For Multivariate Convex Regression
Gil Kur
E. Putterman
242
0
0
06 May 2022
A Sharper Computational Tool for $\text{L}_2\text{E}$ Regression
A Sharper Computational Tool for L2E\text{L}_2\text{E}L2​E Regression
Xiaoqian Liu
Eric C. Chi
K. Lange
363
4
0
06 Mar 2022
Learning PSD-valued functions using kernel sums-of-squares
Learning PSD-valued functions using kernel sums-of-squares
Boris Muzellec
Francis R. Bach
Alessandro Rudi
256
9
0
22 Nov 2021
Spectrahedral Regression
Spectrahedral RegressionSIAM Journal on Optimization (SIAM J. Optim.), 2021
Eliza O'Reilly
V. Chandrasekaran
163
2
0
27 Oct 2021
pyStoNED: A Python Package for Convex Regression and Frontier Estimation
pyStoNED: A Python Package for Convex Regression and Frontier EstimationJournal of Statistical Software (JSS), 2021
Sheng Dai
Yunzhe Fang
Chia-Yen Lee
Timo Kuosmanen
98
16
0
27 Sep 2021
Plugin Estimation of Smooth Optimal Transport Maps
Plugin Estimation of Smooth Optimal Transport MapsAnnals of Statistics (Ann. Stat.), 2021
Tudor Manole
Sivaraman Balakrishnan
Jonathan Niles-Weed
Larry A. Wasserman
OT
551
120
0
26 Jul 2021
OpReg-Boost: Learning to Accelerate Online Algorithms with Operator
  Regression
OpReg-Boost: Learning to Accelerate Online Algorithms with Operator RegressionConference on Learning for Dynamics & Control (L4DC), 2021
Nicola Bastianello
Andrea Simonetto
E. Dall’Anese
445
3
0
27 May 2021
A new computational framework for log-concave density estimation
A new computational framework for log-concave density estimationMathematical Programming Computation (MPC), 2021
Wenyu Chen
Rahul Mazumder
R. Samworth
301
5
0
24 May 2021
A User-Friendly Computational Framework for Robust Structured Regression
  with the L$_2$ Criterion
A User-Friendly Computational Framework for Robust Structured Regression with the L2_22​ CriterionJournal of Computational And Graphical Statistics (JCGS), 2020
Jocelyn T. Chi
Eric C. Chi
OffRL
358
6
0
08 Oct 2020
Extensions to the Proximal Distance Method of Constrained Optimization
Extensions to the Proximal Distance Method of Constrained OptimizationJournal of machine learning research (JMLR), 2020
Alfonso Landeros
Oscar Hernan Madrid Padilla
Hua Zhou
K. Lange
359
10
0
02 Sep 2020
Nonparametric Learning of Two-Layer ReLU Residual Units
Nonparametric Learning of Two-Layer ReLU Residual Units
Zhunxuan Wang
Linyun He
Chunchuan Lyu
Shay B. Cohen
MLTOffRL
557
1
0
17 Aug 2020
Convex Regression in Multidimensions: Suboptimality of Least Squares
  Estimators
Convex Regression in Multidimensions: Suboptimality of Least Squares EstimatorsAnnals of Statistics (Ann. Stat.), 2020
Gil Kur
Fuchang Gao
Adityanand Guntuboyina
B. Sen
330
16
0
03 Jun 2020
Subgradient Regularized Multivariate Convex Regression at Scale
Subgradient Regularized Multivariate Convex Regression at Scale
Wenyu Chen
Rahul Mazumder
290
11
0
23 May 2020
Stratified incomplete local simplex tests for curvature of nonparametric
  multiple regression
Stratified incomplete local simplex tests for curvature of nonparametric multiple regressionBernoulli (Bernoulli), 2020
Yanglei Song
Xiaohui Chen
Kengo Kato
527
2
0
20 Mar 2020
Least Squares Estimation of a Quasiconvex Regression Function
Least Squares Estimation of a Quasiconvex Regression Function
Somabha Mukherjee
Rohit Patra
Andrew L. Johnson
Hiroshi Morita
419
3
0
09 Mar 2020
Efficient algorithms for multivariate shape-constrained convex
  regression problems
Efficient algorithms for multivariate shape-constrained convex regression problems
Meixia Lin
Defeng Sun
Kim-Chuan Toh
132
6
0
26 Feb 2020
Local continuity of log-concave projection, with applications to
  estimation under model misspecification
Local continuity of log-concave projection, with applications to estimation under model misspecification
Rina Foygel Barber
R. Samworth
503
10
0
14 Feb 2020
Nested Barycentric Coordinate System as an Explicit Feature Map
Nested Barycentric Coordinate System as an Explicit Feature MapInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2020
Lee-Ad Gottlieb
Eran Kaufman
A. Kontorovich
Gabriel Nivasch
Ofir Pele
149
1
0
05 Feb 2020
Confidence intervals for multiple isotonic regression and other monotone
  models
Confidence intervals for multiple isotonic regression and other monotone modelsAnnals of Statistics (Ann. Stat.), 2020
Hang Deng
Q. Han
Cun-Hui Zhang
548
17
0
20 Jan 2020
Random concave functions
Random concave functionsThe Annals of Applied Probability (AAP), 2019
P. Baxendale
Ting-Kam Leonard Wong
259
3
0
30 Oct 2019
A Data Efficient and Feasible Level Set Method for Stochastic Convex
  Optimization with Expectation Constraints
A Data Efficient and Feasible Level Set Method for Stochastic Convex Optimization with Expectation ConstraintsJournal of machine learning research (JMLR), 2019
Qihang Lin
Selvaprabu Nadarajah
Negar Soheili
Tianbao Yang
347
14
0
07 Aug 2019
Max-Affine Regression: Provable, Tractable, and Near-Optimal Statistical
  Estimation
Max-Affine Regression: Provable, Tractable, and Near-Optimal Statistical Estimation
Avishek Ghosh
A. Pananjady
Adityanand Guntuboyina
Kannan Ramchandran
257
28
0
21 Jun 2019
Multivariate Distributionally Robust Convex Regression under Absolute
  Error Loss
Multivariate Distributionally Robust Convex Regression under Absolute Error LossNeural Information Processing Systems (NeurIPS), 2019
Jose H. Blanchet
Peter Glynn
Jun Yan
Zhengqing Zhou
351
34
0
29 May 2019
Concave regression: value-constrained estimation and likelihood
  ratio-based inference
Concave regression: value-constrained estimation and likelihood ratio-based inference
Charles R. Doss
264
5
0
24 May 2018
Nonparametric Shape-restricted Regression
Nonparametric Shape-restricted Regression
Adityanand Guntuboyina
B. Sen
400
78
0
17 Sep 2017
Semiparametric Efficiency in Convexity Constrained Single Index Model
Semiparametric Efficiency in Convexity Constrained Single Index Model
Arun K. Kuchibhotla
Rohit Patra
B. Sen
643
5
0
01 Aug 2017
Variational Analysis of Constrained M-Estimators
Variational Analysis of Constrained M-EstimatorsAnnals of Statistics (Ann. Stat.), 2017
Pratiksha Agrawal
R. Wets
359
16
0
26 Feb 2017
Adaptation in log-concave density estimation
Adaptation in log-concave density estimation
Arlene K. H. Kim
Adityanand Guntuboyina
R. Samworth
246
46
0
03 Sep 2016
On Univariate Convex Regression
On Univariate Convex Regression
Promit Ghosal
B. Sen
397
19
0
15 Aug 2016
A penalized method for multivariate concave least squares with
  application to productivity analysis
A penalized method for multivariate concave least squares with application to productivity analysis
Abolfazl Keshvari
110
8
0
11 Aug 2016
Multivariate convex regression: global risk bounds and adaptation
Multivariate convex regression: global risk bounds and adaptation
Q. Han
J. Wellner
231
50
0
25 Jan 2016
A Computational Framework for Multivariate Convex Regression and its
  Variants
A Computational Framework for Multivariate Convex Regression and its Variants
Rahul Mazumder
Arkopal Choudhury
G. Iyengar
B. Sen
349
92
0
28 Sep 2015
On Degrees of Freedom of Projection Estimators with Applications to
  Multivariate Nonparametric Regression
On Degrees of Freedom of Projection Estimators with Applications to Multivariate Nonparametric Regression
Xi Chen
Qihang Lin
B. Sen
442
24
0
07 Sep 2015
Tail Analysis without Parametric Models: A Worst-case Perspective
Tail Analysis without Parametric Models: A Worst-case PerspectiveOperational Research (OR), 2015
Henry Lam
Clementine Mottet
275
38
0
12 Jul 2015
Bracketing numbers of convex and $m$-monotone functions on polytopes
Bracketing numbers of convex and mmm-monotone functions on polytopesJournal of Approximation Theory (JAT), 2015
Charles R. Doss
384
1
0
29 May 2015
Approximation and Estimation of s-Concave Densities via Rényi
  Divergences
Approximation and Estimation of s-Concave Densities via Rényi Divergences
Q. Han
J. Wellner
801
37
0
02 May 2015
Faithful Variable Screening for High-Dimensional Convex Regression
Faithful Variable Screening for High-Dimensional Convex Regression
Min Xu
Minhua Chen
John D. Lafferty
400
28
0
07 Nov 2014
Generalised additive and index models with shape constraints
Generalised additive and index models with shape constraints
Yining Chen
R. Samworth
275
86
0
10 Apr 2014
Shape-constrained Estimation of Value Functions
Shape-constrained Estimation of Value Functions
M. Mousavi
Peter Glynn
177
2
0
26 Dec 2013
Global risk bounds and adaptation in univariate convex regression
Global risk bounds and adaptation in univariate convex regression
Adityanand Guntuboyina
B. Sen
374
86
0
07 May 2013
Covering Numbers for Convex Functions
Covering Numbers for Convex FunctionsIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2012
Adityanand Guntuboyina
B. Sen
371
77
0
31 Mar 2012
Bayesian nonparametric multivariate convex regression
Bayesian nonparametric multivariate convex regression
Lauren Hannah
David B. Dunson
275
25
0
01 Sep 2011
12
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