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X Demographics
Mendeley readers
Attention Score in Context
| Chapter title |
Probabilistic frames: An overview
|
|---|---|
| Chapter number | 12 |
| Book title |
Finite Frames
|
| Published in |
arXiv, August 2011
|
| DOI | 10.1007/978-0-8176-8373-3_12 |
| Book ISBNs |
978-0-8176-8372-6, 978-0-8176-8373-3
|
| Authors |
Martin Ehler, Kasso A. Okoudjou, Ehler, Martin, Okoudjou, Kasso A. |
| Abstract |
Finite frames can be viewed as mass points distributed in $N$-dimensional Euclidean space. As such they form a subclass of a larger and rich class of probability measures that we call probabilistic frames. We derive the basic properties of probabilistic frames, and we characterize one of their subclasses in terms of minimizers of some appropriate potential function. In addition, we survey a range of areas where probabilistic frames, albeit, under different names, appear. These areas include directional statistics, the geometry of convex bodies, and the theory of t-designs. |
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.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 18 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 18 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 6 | 33% |
| Researcher | 5 | 28% |
| Professor | 3 | 17% |
| Other | 1 | 6% |
| Student > Doctoral Student | 1 | 6% |
| Other | 2 | 11% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 12 | 67% |
| Engineering | 2 | 11% |
| Computer Science | 2 | 11% |
| Philosophy | 1 | 6% |
| Unknown | 1 | 6% |
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 11 August 2011.
All research outputs
#20,142,242
of 22,647,730 outputs
Outputs from arXiv
#664,602
of 927,543 outputs
Outputs of similar age
#110,944
of 120,705 outputs
Outputs of similar age from arXiv
#1,523
of 2,265 outputs
Altmetric has tracked 22,647,730 research outputs across all sources so far. This one is in the 1st percentile – i.e., 1% of other outputs scored the same or lower than it.
So far Altmetric has tracked 927,543 research outputs from this source. They receive a mean Attention Score of 3.9. This one is in the 1st percentile – i.e., 1% of its peers scored the same or lower than it.
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We're also able to compare this research output to 2,265 others from the same source and published within six weeks on either side of this one. This one is in the 1st percentile – i.e., 1% of its contemporaries scored the same or lower than it.