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SUMMARY:Linking Invariant Theory to Maximum Likelihood Estimation - Carlos
  Amendola (Technische Universität Berlin)
DTSTART:20240122T141500Z
DTEND:20240122T151500Z
UID:TALK208042@talks.cam.ac.uk
DESCRIPTION:We uncover connections between maximum likelihood estimation i
 n statistics and norm minimization over a group orbit in invariant theory.
  This will be illustrated in the two statistical settings of log-linear mo
 dels and Gaussian transformation families.&nbsp\; The former includes the 
 classical independence model while the latter includes matrix normal model
 s and Gaussian graphical models given by transitive directed acyclic graph
 s. In particular\, stability under group actions is used to characterize b
 oundedness of the likelihood\, and existence and uniqueness of the maximum
  likelihood estimate. Based on joint work with Kathl&eacute\;n Kohn\, Phil
 ipp Reichenbach and Anna Seigal.
LOCATION:Seminar Room 1\, Newton Institute
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