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TZOFFSETFROM:-0500
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
DTSTART:20070311T020000
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RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
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SEQUENCE:1
X-APPLE-TRAVEL-ADVISORY-BEHAVIOR:AUTOMATIC
UID:250326
DTSTAMP:20261030T111034Z
DTSTART;TZID=America/New_York:20261102T130000
DTEND;TZID=America/New_York:20261102T135000
URL;TYPE=URI:https://www.wpi.edu/news/calendar/events/mathematical-sciences
 -department-discrete-mathematics-seminar-jane-coons-wpi
SUMMARY:Mathematical Sciences Department Discrete Mathematics Seminar: Jane
  Coons\, WPI
DESCRIPTION:Speaker: Jane Coons\, WPI\nTitle: The Degree-Bounded Characteri
 stic Imset Polytope\nAbstract: The characteristic imset (CIM) polytope is 
 a 0/1 polytope whose vertices represent Markov equivalence classes of dire
 cted acyclic graphs. Several causal discovery problems can be viewed as so
 lving a linear program over the CIM polytope. However\, since the dimensio
 n of the CIM polytope grows exponentially in the number of nodes of the un
 derlying DAG\, solving these linear programs is computationally intractabl
 e. We introduce the degree-bounded characteristic imset polytope\, whose v
 ertices correspond only to DAGs whose nodes have bounded in-degree k. For 
 fixed k\, the dimension of this polytope grows polynomially in the number 
 of nodes of the DAG. For k=1\, we show that this polytope is a matroid ind
 ependence polytope and we give an extensive list of facets for this polyto
 pe when k=2.
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