Variable Projection for NonSmooth Problems

DOI10.1137/20M1348650zbMath1490.65124OpenAlexW3163742575MaRDI QIDQ5161743

Tristan van Leeuwen, Aleksandr Y. Aravkin

Publication date: 1 November 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1348650

zbMATH Keywords

variable projectionproximal gradientinexact gradient

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Numerical optimization and variational techniques (65K10) Graph theory (including graph drawing) in computer science (68R10) Numerical methods based on nonlinear programming (49M37) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Methods of reduced gradient type (90C52) PDE constrained optimization (numerical aspects) (49M41)

Related Items (3)

ADJUST: a dictionary-based joint reconstruction and unmixing method for spectral tomography ⋮ Numerical approximation of partial differential equations by a variable projection method with artificial neural networks ⋮ Robust and Scalable Methods for the Dynamic Mode Decomposition

Uses Software

• GitHub

Cites Work

• Unnamed Item
• First-order methods of smooth convex optimization with inexact oracle
• Separable least squares, variable projection, and the Gauss-Newton algorithm
• Some interlacing properties of the Schur complement of a Hermitian matrix
• A general family of trimmed estimators for robust high-dimensional data analysis
• A generalization of variable elimination for separable inverse problems beyond least squares
• Estimating nuisance parameters in inverse problems
• Least Median of Squares Regression
• Algorithms for Separable Nonlinear Least Squares Problems
• Variational Analysis
• Separable nonlinear least squares: the variable projection method and its applications
• First-Order Methods in Optimization
• Automatic alignment for three-dimensional tomographic reconstruction
• Simultaneous Sensing Error Recovery and Tomographic Inversion Using an Optimization-Based Approach
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate

This page was built for publication: Variable Projection for NonSmooth Problems