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Splitting Methods in Communication, Imaging, Science, and Engineering

Overview of attention for book
Cover of 'Splitting Methods in Communication, Imaging, Science, and Engineering'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
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    Chapter 2 Some Facts About Operator-Splitting and Alternating Direction Methods
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    Chapter 3 Operator Splitting
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    Chapter 4 Convergence Rate Analysis of Several Splitting Schemes
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    Chapter 5 Self Equivalence of the Alternating Direction Method of Multipliers
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    Chapter 6 Application of the Strictly Contractive Peaceman-Rachford Splitting Method to Multi-Block Separable Convex Programming
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    Chapter 7 Nonconvex Sparse Regularization and Splitting Algorithms
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    Chapter 8 ADMM and Non-convex Variational Problems
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    Chapter 9 Operator Splitting Methods in Compressive Sensing and Sparse Approximation
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    Chapter 10 First Order Algorithms in Variational Image Processing
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    Chapter 11 A Parameter Free ADI-Like Method for the Numerical Solution of Large Scale Lyapunov Equations
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    Chapter 12 Splitting Enables Overcoming the Curse of Dimensionality
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    Chapter 13 ADMM Algorithmic Regularization Paths for Sparse Statistical Machine Learning
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    Chapter 14 Decentralized Learning for Wireless Communications and Networking
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    Chapter 15 Splitting Methods for SPDEs: From Robustness to Financial Engineering, Optimal Control, and Nonlinear Filtering
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    Chapter 16 Application of Operator Splitting Methods in Finance
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    Chapter 17 A Numerical Method to Solve Multi-Marginal Optimal Transport Problems with Coulomb Cost
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    Chapter 18 Robust Split-Step Fourier Methods for Simulating the Propagation of Ultra-Short Pulses in Single- and Two-Mode Optical Communication Fibers
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    Chapter 19 Operator Splitting Methods with Error Estimator and Adaptive Time-Stepping. Application to the Simulation of Combustion Phenomena
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    Chapter 20 Splitting Methods for Some Nonlinear Wave Problems
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    Chapter 21 Operator Splitting Algorithms for Free Surface Flows: Application to Extrusion Processes
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    Chapter 22 An Operator Splitting Approach to the Solution of Fluid-Structure Interaction Problems in Hemodynamics
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    Chapter 23 On Circular Cluster Formation in a Rotating Suspension of Non-Brownian Settling Particles in a Fully Filled Circular Cylinder: An Operator Splitting Approach to the Numerical Simulation
Attention for Chapter 5: Self Equivalence of the Alternating Direction Method of Multipliers
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About this Attention Score

  • Average Attention Score compared to outputs of the same age
  • Good Attention Score compared to outputs of the same age and source (77th percentile)

Mentioned by

twitter
3 tweeters

Citations

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98 Dimensions

Readers on

mendeley
24 Mendeley
Summary Twitter Dimensions citations
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Chapter title
Self Equivalence of the Alternating Direction Method of Multipliers
Chapter number 5
Book title
Splitting Methods in Communication, Imaging, Science, and Engineering
Published in
arXiv, January 2016
DOI 10.1007/978-3-319-41589-5_5
Book ISBNs
978-3-31-941587-1, 978-3-31-941589-5
Authors

Ming Yan, Wotao Yin

View on publisher site

Twitter Demographics

The data shown below were collected from the profiles of 3 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 24 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 24 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 10 42%
Researcher 4 17%
Student > Doctoral Student 3 13%
Professor > Associate Professor 2 8%
Professor 1 4%
Other 3 13%
Unknown 1 4%
Readers by discipline Count As %
Mathematics 9 38%
Engineering 8 33%
Computer Science 4 17%
Physics and Astronomy 1 4%
Agricultural and Biological Sciences 1 4%
Other 0 0%
Unknown 1 4%

Attention Score in Context

This research output has an Altmetric Attention Score of 2. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 03 September 2021.
All research outputs
#14,909,825
of 23,852,579 outputs
Outputs from arXiv
#297,801
of 990,619 outputs
Outputs of similar age
#211,612
of 398,538 outputs
Outputs of similar age from arXiv
#2,668
of 13,754 outputs
Altmetric has tracked 23,852,579 research outputs across all sources so far. This one is in the 35th percentile – i.e., 35% of other outputs scored the same or lower than it.
So far Altmetric has tracked 990,619 research outputs from this source. They receive a mean Attention Score of 4.0. This one has gotten more attention than average, scoring higher than 66% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 398,538 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 44th percentile – i.e., 44% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 13,754 others from the same source and published within six weeks on either side of this one. This one has done well, scoring higher than 77% of its contemporaries.

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