On Grobner bases of Elimination and Toric Ideals describing Maximum Entropy models

Add to your list(s) Download to your calendar using vCal

• Ambedkar Dukkipatti (EURANDOM)
• Friday 02 May 2008, 14:00-15:00
• MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.

If you have a question about this talk, please contact rbg24.

My main aim in this talk is to introduce some notions on how results from commutative algebra and algebraic geometry can be used in analysis of statistical models, in particular, maximum entropy models. First, I will give a brief introduction of Grobner bases and its applications to algebraic geometry. I will show that maximum entropy models can be described with toric ideals by embedding them in algebraic varieties (by means of the Zariski closure). Based on these ideas, I will present some algebraic methods for estimation of these models along with some applications. Finally, I will discuss some ideas and problems on certain algebraic quantities serving as complexity measures for these models.

This talk is part of the Statistics series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• Cambridge Forum of Science and Humanities
• Cambridge Language Sciences
• Cambridge talks
• Chris Davis' list
• DPMMS Lists
• DPMMS info aggregator
• DPMMS lists
• Guy Emerson's list
• Hanchen DaDaDash
• Interested Talks
• MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
• Machine Learning
• School of Physical Sciences
• Statistical Laboratory info aggregator
• Statistics
• Statistics Group
• bld31
• custom
• rp587

Note that ex-directory lists are not shown.