Talks, 8th of February, École Polytechnique, Amphithéâtre Sauvy
Talks, 9th of February, UPMC-Jussieu, building 15-16 room 101 (1st floor)
The meetings will take place
- on the 8th of February
at the École Polytechnique, Amphithéâtre Sauvy, near the main Hall, on the way from the RER and bus station (bus stop: Polytechnique-Lozère) key-card not needed;
- on the 9th of February
at the University Pierre et Marie Curie (UPMC, métro Jussieu), building 15-16 room 101 (1st floor).
Abstracts
- Razeeh Sainudiin :
Evaluating the likelihood function of parameters in highly-structured population genetic models
from extant deoxyribonucleic acid (DNA) sequences is computationally prohibitive. In such cases,
one may approximately infer the parameters from summary statistics of the data such as the
site-frequency-spectrum (SFS) or its linear combinations. Such methods are known as approximate
likelihood or Bayesian computations. Using a controlled lumped Markov chain and computational
commutative algebraic methods we compute the exact likelihood of the SFS and many classical linear
combinations of it at a non-recombining locus that is neutrally evolving under the infi™nitely-many-sites
mutation model.
Using a partially ordered graph of coalescent experiments around the SFS we provide a decision-theoretic framework for approximate sufficiency. We also extend a family of classical hypothesis tests of standard neutrality at a non-recombining locus based on the SFS to a more powerful version that conditions on the topological information provided by the SFS.
Keywords: controlled lumped Markov chain, unlabelled coalescent, random integer partition sequences,
partially ordered experiments, population genomic inference population genetic Markov bases,
approximate Bayesian computation done exactly.
- Chunmao Huang :
Let Z_n be a supercritical branching
process in a random environment and W be the limit of the normalized
population size. We
show large and moderate deviation principles for the sequence log Z_n
(with appropriate normalization). For the proof, we calculate the critical
value for the existence of harmonic moments of W, and show an equivalence
for all the moments of Z_n. A central limit theorem is also established.
Practical informations
Last modified: 25 Jan. 2011