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Evolutionary trees can be learned in polynomial time in the two-state general Markov model
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Cryan, Mary, Goldberg, Leslie Ann and Goldberg, Paul W. (1998) Evolutionary trees can be learned in polynomial time in the two-state general Markov model. In: 39th Annual Symposium on Foundations of Computer Science, Palo Alto, CA, 08-11 Nov 1998. Published in: 39th Annual Symposium on Foundations of Computer Science, 1998. Proceedings. pp. 436-445. ISBN 0818691727. ISSN 0272-5428.
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Official URL: http://dx.doi.org/10.1109/SFCS.1998.743494
Abstract
The j-State General Markov Model of evolution (due to Steel) is a stochastic model concerned with the evolution of strings over an alphabet of size j. In particular; the Two-State General Markov Model of evolution generalises the well-known Cavender-Farris-Neyman model of evolution by removing the symmetry restriction (which requires that the probability that a '0' turns into a '1' along mt edge is the same as the probability that a '1' turns into a '0' along the edge). Farach and Kannan showed how to PAC-learn Markov Evolutionary Trees in the Cavender-Farris-Neyman model provided that the target tree satisfies the additional restriction that all pairs of leaves hate a sufficiently high probability of being the same. We show how to remove both restrictions and thereby obtain the first polynomial-time PAC-learning algorithm (in the sense of Kearns et al.) far the general class of Two-State Markov Evolutionary Trees.
| Item Type: | Conference Item (Paper) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
| Journal or Publication Title: | 39th Annual Symposium on Foundations of Computer Science, 1998. Proceedings. | ||||
| Publisher: | IEEE | ||||
| ISBN: | 0818691727 | ||||
| ISSN: | 0272-5428 | ||||
| Official Date: | 1998 | ||||
| Dates: |
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| Number of Pages: | 4 | ||||
| Page Range: | pp. 436-445 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | 39th Annual Symposium on Foundations of Computer Science | ||||
| Type of Event: | Other | ||||
| Location of Event: | Palo Alto, CA | ||||
| Date(s) of Event: | 08-11 Nov 1998 |
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