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SUMMARY:Incorporating biological information into network inference using 
 structured shrinkage - Gwenael Leday (MRC Biostatistics Unit)
DTSTART:20160826T094000Z
DTEND:20160826T100000Z
UID:TALK67069@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:High-throughput biotechnologies such as microarrays provide th
 e opportunity to study theinterplay between molecular entities\, which is 
 central to the understanding of disease biology.The statistical descriptio
 n and analysis of this interplay is naturally carried out with Gaussiangra
 phical models in which nodes represent molecular variables and edges betwe
 en them representinteractions. Inferring the edge set is\, however\, a cha
 llenging task as the number of parametersto estimate easily is much larger
  than the sample size. A conventional remedy is to regularize orpenalize t
 he model likelihood. In network models\, this is often done locally in the
  neighbourhoodof each node. However\, estimation of the many regularizatio
 n parameters is often di&#14\;cult andcan result in large statistical unce
 rtainties. We show how to combine local regularization withglobal shrinkag
 e of the regularization parameters\, via empirical Bayes (EB)\, to borrow 
 strengthbetween nodes and improve inference. Furthermore\, we show how one
  can use EB so the level ofregularization may di&#11\;er across an arbitra
 ry number of prede&#12\;ned groups of interactions. Suchauxiliary informat
 ion is often available in Biology. It is shown that accurate prior informa
 tion cangreatly improve the reconstruction of the network\, but need not h
 arm the reconstruction if wrong.
LOCATION:Seminar Room 1\, Newton Institute
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