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CATEGORIES:Statistics
SUMMARY:Orbit recovery from invariants - Jonathan Weed (MI
T)
DTSTART;TZID=Europe/London:20180427T160000
DTEND;TZID=Europe/London:20180427T170000
UID:TALK101941AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/101941
DESCRIPTION:We focus on the following problem\, which we call
"orbit recovery": how many samples are required to
estimate a signal when each sample has been acted
on by a random element of a known\, compact group
? This question is motivated by and generalizes va
rious "synchronization" problems\, such as multi-r
eference alignment and the reconstruction problem
from cryo-electon microscopy. Using tools from alg
ebraic geometry and invariant theory\, we give pre
cise relationships between algebraic properties of
the group action and the sample complexity of the
statistical problem\, under various success crite
ria. We also consider variations of this problem i
nvolving projection and heterogenous mixtures of s
ignals. Based on joint work with Afonso S. Bandeir
a\, Ben Blum-Smith\, Amelia Perry\, Philippe Rigol
let\, Amit Singer and Alexander S. Wein.
LOCATION:MR12
CONTACT:Quentin Berthet
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