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SUMMARY:On Grobner bases of Elimination and Toric Ideals describing Maximu
 m Entropy models - Ambedkar Dukkipatti (EURANDOM)
DTSTART:20080502T130000Z
DTEND:20080502T140000Z
UID:TALK11784@talks.cam.ac.uk
CONTACT:8047
DESCRIPTION:My main aim in this talk is to introduce some notions on\nhow 
 results from commutative algebra and algebraic geometry can be\nused in an
 alysis of statistical models\, in particular\, maximum entropy\nmodels. Fi
 rst\, I will give a brief introduction of Grobner bases and\nits applicati
 ons to algebraic geometry. I will show that maximum\nentropy models can be
  described with toric ideals by embedding them in\nalgebraic varieties (by
  means of the Zariski closure). Based on these ideas\,\nI will present som
 e algebraic methods for estimation of these models along\n with some appli
 cations. Finally\, I will discuss some ideas and problems on\n certain alg
 ebraic quantities serving as complexity measures for these\nmodels.\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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