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URL:/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-maximilian
SUMMARY:Algebraic and enumerative combinatorics seminar-Maximilian Wiesmann
CLASS:PUBLIC
DESCRIPTION:Summary \n\nTITLE:Arrangements and Likelihood\n\nSpeaker\n Maxi
 milian Wiesmann\n\nAffiliation\n Max Planck\n\nLocation\n MC 5479\n\nABSTR
 ACT: In this talk\, we establish connections between hypersurface\narrange
 ments and likelihood geometry. The central object is the\nlikelihood corre
 spondence which captures the dependence between data\nand critical points 
 of the likelihood function of a statistical model\nparametrized by the pol
 ynomials defining the arrangement. In particle\nphysics\, this same object
  is known as the scattering correspondence.\nThe connection to hypersurfac
 e arrangements leads to a new description\nof the prime ideal of the likel
 ihood correspondence\, which is often\ncomputationally advantageous. This 
 description is based on the Rees\nalgebra of the likelihood module of the 
 arrangement\, a module closely\nrelated to the module of logarithmic deriv
 ations. We present results\nfor generic and graphic arrangements.\n\nTHERE
  WILL BE A PRE-SEMINAR PRESENTING RELEVANT BACKGROUND AT THE\nBEGINNING GR
 ADUATE LEVEL STARTING AT 1PM\,\n 
DTSTAMP:20250825T225051Z
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