Global alignment of molecular sequences via ancestral state reconstruction

Alexandr Andoni, Constantinos Daskalakis, Avinatan Hassidim, Sebastien Roch

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We consider the trace reconstruction problem on a tree (TRPT): a binary sequence is broadcast through a tree channel where we allow substitutions, deletions, and insertions; we seek to reconstruct the original sequence from the sequences received at the leaves. The TRPT is motivated by the multiple sequence alignment problem in computational biology. We give a simple recursive procedure giving strong reconstruction guarantees at low mutation rates. To our knowledge, this is the first rigorous trace reconstruction result on a tree in the presence of indels.

Original languageEnglish
Pages (from-to)3852-3874
Number of pages23
JournalStochastic Processes and their Applications
Volume122
Issue number12
DOIs
StatePublished - Dec 2012

Bibliographical note

Funding Information:
The second author was supported by a Sloan Foundation Fellowship and NSF CAREER Award CCF-0953960 . The fourth author was supported by NSF grant DMS-1007144 .

Funding

The second author was supported by a Sloan Foundation Fellowship and NSF CAREER Award CCF-0953960 . The fourth author was supported by NSF grant DMS-1007144 .

FundersFunder number
National Science Foundation1248176, CCF-0953960, DMS-1007144
Alfred P. Sloan Foundation

    Keywords

    • Branching processes
    • Markov models on trees
    • Phylogenetic inference

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