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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260717T153000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/tutte-colloq
 uium-audrey-beliveau-combinatorial-structure-and-0
SUMMARY:Tutte Colloquium -Audrey Béliveau-Combinatorial Structure and\nAlg
 orithms for Treatment Rankings
CLASS:PUBLIC
DESCRIPTION:SPEAKER:\n Audrey Béliveau\n\nAFFILIATION:\n University of Wat
 erloo\n\nLOCATION:\n MC 5501\n\nABSTRACT: \n\nNetwork meta-analysis (NMA)
  enables the comparison of multiple medical\ninterventions by combining ev
 idence on their efficacy or safety across\nclinical trials. Although these
  models produce rich probabilistic\ninformation about how treatments rank\
 , what practitioners often want\nare simple\, interpretable summaries\; fo
 r example\, whether a treatment\nis likely among the best\, or whether one
  option is likely to\noutperform another. \nThe challenge is that\, with n
  treatments\, the number of possible\nquestions one can ask about permutat
 ions\, combinations\, or partial\norderings of various subsets of treatmen
 ts grows exponentially. This\nleads to a large but highly structured combi
 natorial space\, making\nexhaustive evaluation infeasible. \nWe develop al
 gorithmic methods to explore this space efficiently and\nto identify all b
 inary treatment hierarchy statements whose posterior\nprobability exceeds 
 a specified threshold (e.g.\, 95%). Our approach\nexploits structure in th
 e ranking space to avoid redundant\ncomputations and then prunes conclusio
 ns that are logically implied by\nothers\, yielding a concise and non-redu
 ndant set of results. We\nillustrate the approach on an NMA of diabetes tr
 eatments.
DTSTAMP:20260710T203146Z
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