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Robust $$\ell _1$$ ℓ 1 Approaches to Computing the Geometric Median and Principal and Independent Components

Overview of attention for article published in Journal of Mathematical Imaging and Vision, February 2016
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  • Above-average Attention Score compared to outputs of the same age and source (60th percentile)

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Title
Robust $$\ell _1$$ ℓ 1 Approaches to Computing the Geometric Median and Principal and Independent Components
Published in
Journal of Mathematical Imaging and Vision, February 2016
DOI 10.1007/s10851-016-0637-9
Pubmed ID
Authors

Stephen L. Keeling, Karl Kunisch

Abstract

Robust measures are introduced for methods to determine statistically uncorrelated or also statistically independent components spanning data measured in a way that does not permit direct separation of these underlying components. Because of the nonlinear nature of the proposed methods, iterative methods are presented for the optimization of merit functions, and local convergence of these methods is proved. Illustrative examples are presented to demonstrate the benefits of the robust approaches, including an application to the processing of dynamic medical imaging.

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X Demographics

The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 10 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 10%
Unknown 9 90%

Demographic breakdown

Readers by professional status Count As %
Researcher 3 30%
Student > Doctoral Student 2 20%
Student > Ph. D. Student 2 20%
Student > Master 2 20%
Lecturer 1 10%
Other 0 0%
Readers by discipline Count As %
Mathematics 2 20%
Engineering 2 20%
Social Sciences 1 10%
Computer Science 1 10%
Neuroscience 1 10%
Other 1 10%
Unknown 2 20%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. 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 02 June 2016.
All research outputs
#18,171,970
of 23,342,232 outputs
Outputs from Journal of Mathematical Imaging and Vision
#213
of 306 outputs
Outputs of similar age
#204,797
of 300,057 outputs
Outputs of similar age from Journal of Mathematical Imaging and Vision
#2
of 5 outputs
Altmetric has tracked 23,342,232 research outputs across all sources so far. This one is in the 19th percentile – i.e., 19% of other outputs scored the same or lower than it.
So far Altmetric has tracked 306 research outputs from this source. They receive a mean Attention Score of 2.6. This one is in the 29th percentile – i.e., 29% of its peers scored the same or lower than it.
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 300,057 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 27th percentile – i.e., 27% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 5 others from the same source and published within six weeks on either side of this one. This one has scored higher than 3 of them.