Estimating Shape Parameters of Piecewise Linear-Quadratic Problems

Piecewise Linear-Quadratic (PLQ) penalties are widely used to develop models in statistical inference, signal processing, and machine learning. Common examples of PLQ penalties include least squares, Huber, Vapnik, 1-norm, and their asymmetric generalizations. Properties of these estimators depend o...

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Bibliographic Details
Main Authors: Zheng, Peng, Ramamurthy, Karthikeyan Natesan, Aravkin, Aleksandr Y.
Format: Article
Language:English
Published: Université de Montpellier 2021-09-01
Series:Open Journal of Mathematical Optimization
Online Access:https://ojmo.centre-mersenne.org/articles/10.5802/ojmo.10/