Performance of first- and second-order methods for $$\ell _1$$ ℓ 1 -regularized least squares problems

Computational Optimization and Applications ◽

10.1007/s10589-016-9853-x ◽

2016 ◽

Vol 65 (3) ◽

pp. 605-635 ◽

Author(s):

Kimon Fountoulakis ◽

Jacek Gondzio

Keyword(s):

Least Squares ◽

Second Order ◽

Least Squares Problems ◽

Regularized Least Squares ◽

Second Order Methods

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On the Evaluation Complexity of Constrained Nonlinear Least-Squares and General Constrained Nonlinear Optimization Using Second-Order Methods

SIAM Journal on Numerical Analysis ◽

10.1137/130915546 ◽

2015 ◽

Vol 53 (2) ◽

pp. 836-851 ◽

Author(s):

Coralia Cartis ◽

Nicholas I. M. Gould ◽

Philippe L. Toint

Keyword(s):

Least Squares ◽

Nonlinear Optimization ◽

Nonlinear Least Squares ◽

Second Order ◽

Constrained Nonlinear Optimization ◽

Evaluation Complexity ◽

Second Order Methods

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Preconditioner based on the Sherman–Morrison formula for regularized least squares problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.09.048 ◽

2009 ◽

Vol 215 (8) ◽

pp. 3007-3016 ◽

Author(s):

Jun-Feng Yin

Keyword(s):

Least Squares ◽

Least Squares Problems ◽

Regularized Least Squares

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Implementation of algorithms for tuning parameters in regularized least squares problems in system identification

10.1016/j.automatica.2013.03.030 ◽

2013 ◽

Vol 49 (7) ◽

pp. 2213-2220 ◽

Author(s):

Tianshi Chen ◽

Lennart Ljung

Keyword(s):

System Identification ◽

Least Squares ◽

Least Squares Problems ◽

Regularized Least Squares ◽

Tuning Parameters

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Incomplete oblique projections method for solving regularized least-squares problems in image reconstruction

International Transactions in Operational Research ◽

10.1111/j.1475-3995.2008.00643.x ◽

2008 ◽

Vol 15 (4) ◽

pp. 417-438 ◽

Author(s):

H. D. Scolnik ◽

N. E. Echebest ◽

M. T. Guardarucci

Keyword(s):

Image Reconstruction ◽

Least Squares ◽

Least Squares Problems ◽

Regularized Least Squares ◽

Oblique Projections

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IMRO: A Proximal Quasi-Newton Method for Solving $\ell_1$-Regularized Least Squares Problems

SIAM Journal on Optimization ◽

10.1137/140966587 ◽

2017 ◽

Vol 27 (2) ◽

pp. 583-615 ◽

Author(s):

Sahar Karimi ◽

Stephen Vavasis

Keyword(s):

Least Squares ◽

Newton Method ◽

Least Squares Problems ◽

Regularized Least Squares ◽

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Preconditioning regularized least squares problems arising from high-resolution image reconstruction from low-resolution frames

Linear Algebra and its Applications ◽

10.1016/j.laa.2004.01.013 ◽

2004 ◽

Vol 391 ◽

pp. 149-168 ◽

Author(s):

Fu-Rong Lin ◽

Wai-Ki Ching ◽

Michael K. Ng

Keyword(s):

High Resolution ◽

Image Reconstruction ◽

Least Squares ◽

Least Squares Problems ◽

Low Resolution ◽

Regularized Least Squares ◽

Resolution Image ◽

High Resolution Image

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Noise Robust Phonetic Classificationwith Linear Regularized Least Squares and Second-Order Features

2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07 ◽

10.1109/icassp.2007.367211 ◽

2007 ◽

Author(s):

Ryan Rifkin ◽

Ken Schutte ◽

Michelle Saad ◽

Jake Bouvrie ◽

Jim Glass

Keyword(s):

Least Squares ◽

Second Order ◽

Regularized Least Squares ◽

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Constrained regularized least squares problems

Mathematical Methods in Tomography - Lecture Notes in Mathematics ◽

10.1007/bfb0084516 ◽

1991 ◽

pp. 153-166

Author(s):

Tommy Elfving

Keyword(s):

Least Squares ◽

Least Squares Problems ◽

Regularized Least Squares

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Accelerated GNHSS iterative method for weighted Toeplitz regularized least-squares problems from image restoration

Computational and Applied Mathematics ◽

10.1007/s40314-018-0681-8 ◽

2018 ◽

Vol 37 (5) ◽

pp. 6152-6175

Author(s):

Jing-Jing Cui ◽

Guo-Hua Peng ◽

Quan Lu ◽

Zheng-Ge Huang

Keyword(s):

Iterative Method ◽

Image Restoration ◽

Least Squares ◽

Least Squares Problems ◽

Regularized Least Squares

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New variant of the HSS iteration method for weighted Toeplitz regularized least-squares problems from image restoration

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.03.027 ◽

2017 ◽

Vol 73 (11) ◽

pp. 2482-2499 ◽

Author(s):

Li-Dan Liao ◽

Guo-Feng Zhang

Keyword(s):

Image Restoration ◽

Least Squares ◽

Iteration Method ◽

Least Squares Problems ◽

Regularized Least Squares ◽

New Variant ◽

Hss Iteration ◽

Hss Iteration Method

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