| Title |
Dimensional Reduction for the General Markov Model on Phylogenetic Trees
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, February 2017
|
| DOI | 10.1007/s11538-017-0249-6 |
| Pubmed ID | |
| Authors |
Jeremy G. Sumner |
| Abstract |
We present a method of dimensional reduction for the general Markov model of sequence evolution on a phylogenetic tree. We show that taking certain linear combinations of the associated random variables (site pattern counts) reduces the dimensionality of the model from exponential in the number of extant taxa, to quadratic in the number of taxa, while retaining the ability to statistically identify phylogenetic divergence events. A key feature is the identification of an invariant subspace which depends only bilinearly on the model parameters, in contrast to the usual multi-linear dependence in the full space. We discuss potential applications including the computation of split (edge) weights on phylogenetic trees from observed sequence data. |
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Australia | 3 | 50% |
| India | 1 | 17% |
| Unknown | 2 | 33% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 4 | 67% |
| Scientists | 2 | 33% |
Mendeley readers
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 1 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Researcher | 1 | 100% |
| Readers by discipline | Count | As % |
|---|---|---|
| Unknown | 1 | 100% |
Attention Score in Context
This research output has an Altmetric Attention Score of 3. 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 19 March 2017.
All research outputs
#7,518,189
of 22,953,506 outputs
Outputs from Bulletin of Mathematical Biology
#300
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Outputs of similar age
#145,372
of 422,694 outputs
Outputs of similar age from Bulletin of Mathematical Biology
#5
of 23 outputs
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