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DTSTART:20241103T020000
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DESCRIPTION:SPEAKER : Genevera Allen\, PhD\, Professor\, Department of Sta
 tistics\, Columbia University TITLE : “ Inference for Clustering: Conform
 al Sets for Cluster Labels” ABSTRACT: While clustering is ubiquitously us
 ed across science and industry\, uncertainty in cluster assignments is ra
 rely quantified with rigorous guarantees. We propose a novel conformal in
 ference framework for clustering that returns confidence sets for plausib
 le cluster labels. The key challenge is that labels are unobserved and es
 timated from data\, so naively using deterministic cluster labels can vio
 late exchangeability and induce severe under-coverage. To address this\, 
 we propose split conformal clustering with stochastic labels\, which samp
 les labels from soft cluster labels\, fits a soft classifier to predict t
 hese stochastic labels\, and calibrates conformal scores to construct con
 fidence sets for cluster labels at any query point. We establish a finite
 -sample lower bound on marginal coverage that reveals how under-coverage 
 is controlled by two properties of the clustering algorithm: consistency 
 of estimated soft labels and replace-one stability. Under mild conditions
 \, we prove asymptotic coverage and verify these conditions for correctly
  specified parametric mixture models. Simulations for mixture models show
  that our method attains target coverage with informative set sizes\, val
 idating our theoretical results. Applications to clustering cell types in
  single-cell RNA-seq data demonstrate the practical utility and interpret
 ability of our approach to quantifying cluster label uncertainty. YSPH va
 lues inclusion and access for all participants. If you have questions abo
 ut accessibility or would like to request an accommodation\, please conta
 ct Charmila Fernandes at Charmila.fernandes@yale.edu . We will try to pro
 vide accommodations requested by October 13\, 2026.\n\nSpeaker:\nGenevera
  Allen\, PhD\n\nAdmission:\nFree\n\nFood:\nRefreshments at 3:45 PM\n\nDet
 ails URL:\nhttps://medicine.yale.edu/event/ysph-biostatistics-seminar-tba
 -10-19-26/\n
DTEND;TZID=America/New_York:20261019T170000
DTSTAMP:20261002T075347Z
DTSTART;TZID=America/New_York:20261019T160000
GEO:41.303666;-72.932218
LOCATION:Yale School of Public Health (LEPH)\, 115\, 60 College Street\, N
 ew Haven\, CT\, United States
SEQUENCE:0
STATUS:Confirmed
SUMMARY:YSPH Biostatistics Seminar: “Inference for Clustering: Conformal S
 ets for Cluster Labels”
UID:ee73856a-759d-4663-b4b2-b7fa58790b63
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