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DTSTAMP:20261114T232419Z
DESCRIPTION:Title: Beyond Pixels: Functional Representations of Images for 
 Statistical Analysis \n\n \n\nAbstract: \n\nImages are an increasingly imp
 ortant source of information across scientific disciplines\, yet their sta
 tistical analysis remains challenging due to the high dimensionality and c
 omplex spatial structure of pixel-based representations. In this talk\, we
  explore a functional perspective on image analysis\, where images and the
  objects they contain are represented as continuous functions rather than 
 discrete collections of pixels. We first introduce a framework for represe
 nting and aligning object contours\, enabling statistical shape analysis a
 nd classification. We then extend this approach to multiple interacting co
 ntours\, preserving their relative geometric relationships. Finally\, we d
 iscuss the representation of image colors through smooth surfaces\, modele
 d as multidimensional functions. Together\, these approaches illustrate ho
 w images can be analyzed as collections of objects defined by their shapes
 \, textures\, and colors.\n\nSpeaker\n\nCédric Beaulac is a Professor of S
 tatistics in the Department of Mathematics at the Université du Québec à M
 ontréal (UQAM)\, where he has been a faculty member since 2022. He obtaine
 d his Ph.D. in Statistical Sciences from the University of Toronto\, under
  the supervision of Jeffrey S. Rosenthal\, before pursuing postdoctoral re
 search at Simon Fraser University and the University of Victoria. His rese
 arch focuses on statistical learning and functional data analysis\, with a
  particular interest in developing statistical methods for complex\, high-
 dimensional data. His current research program explores functional represe
 ntations of images through shapes and surfaces\, with the goal of developi
 ng interpretable and computationally efficient methods for image analysis 
 and statistical learning.\n\nIn person Burnside 1104\n\nhttps://mcgill.zoo
 m.us/j/83129965084\n\nMeeting ID: 831 2996 5084\n\n \n\n \n
DTSTART:20261113T203000Z
DTEND:20261113T213000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Cédric Beaulac from (UQAM).
URL:https://www.mcgill.ca/mathstat/channels/event/cedric-beaulac-uqam-37559
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