A Computational Framework for Multivariate Convex Regression and Its Variants
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Publication:5229914
DOI10.1080/01621459.2017.1407771zbMath1418.62122arXiv1509.08165OpenAlexW2963581419MaRDI QIDQ5229914
Bodhisattva Sen, Rahul Mazumder, Garud Iyengar, Arkopal Choudhury
Publication date: 19 August 2019
Published in: Journal of the American Statistical Association (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.08165
augmented Lagrangian methodLipschitz convex regressionnonparametric least squares estimatorscalable quadratic programmingsmooth convex regression
Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05) Convex programming (90C25)
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Cites Work
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- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- Smooth minimization of non-smooth functions
- The Nonparametric Approach to Demand Analysis
- On the linear convergence of the alternating direction method of multipliers
- Nonparametric estimation of multivariate convex-transformed densities
- Nonparametric least squares estimation of a multivariate convex regression function
- A finite algorithm for finding the projection of a point onto the canonical simplex of \({\mathbb R}^ n\)
- Monotone nonparametric regression
- Estimating a smooth monotone regression function
- Introductory lectures on convex optimization. A basic course.
- Consistent estimation of a convex density at the origin
- Consistency of Multidimensional Convex Regression
- A First-Order Augmented Lagrangian Method for Compressed Sensing
- On Convergence Rates of Convex Regression in Multiple Dimensions
- On uniform consistent estimators for convex regression
- An Empirical Distribution Function for Sampling with Incomplete Information
- Maximum Likelihood Estimates of Monotone Parameters
- The Nonparametric Approach to Production Analysis
- Representation theorem for convex nonparametric least squares
- Lectures on Stochastic Programming
- Maximum Likelihood Estimation of a Multi-Dimensional Log-Concave Density
- Estimating a Convex Function in Nonparametric Regression
- The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent