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SUMMARY:Spectral Clustering meets Graphical Models - Yuri Boykov (Universi
 ty of Western Ontario)
DTSTART:20170904T101000Z
DTEND:20170904T110000Z
UID:TALK77611@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-authors: Dmitri Marin		(UWO)\, Meng Tang		(UWO)\, Ism
 ail Ben Ayed		(ETS\, Montreal)        <br></span><br>This talk discusses t
 wo seemingly unrelated data analysis methodologies: kernel clustering and 
 graphical models. Clustering is widely used for general data where kernel 
 methods are particularly popular due to their discriminating power. Graphi
 cal models such as Markov Random Fields (MRF) and related continuous geome
 tric methods represent the state-of-the-art regularization methodology for
  image segmentation. While both clustering and regularization models are v
 ery widely used in machine learning and computer vision\, they were not co
 mbined before due to significant differences in the corresponding optimiza
 tion\, e.g. spectral relaxation vs. combinatorial methods for submodular o
 ptimization and its approximations. This talk reviews the general properti
 es of kernel clustering and graphical models\, discusses their limitations
  (including newly discovered "density biases" in kernel methods)\, and pro
 poses a general unified framework based on our new bound optimization algo
 r ithm. In particular\, we show that popular MRF potentials introduce prin
 cipled geometric and contextual constraints into clustering\, while standa
 rd kernel methodology allows graphical models to work with arbitrary high-
 dimensional features.<br><br>Related Links<ul><li><a target="_blank" rel="
 nofollow" href="http://www-old.newton.ac.uk/cgi/https%3A%2F%2Farxiv.org%2F
 abs%2F1506.07439">https://arxiv.org/abs/1506.07439</a> - bound optimizatio
 n for kernel clustering</li><li><a target="_blank" rel="nofollow" href="ht
 tp://www-old.newton.ac.uk/cgi/https%3A%2F%2Farxiv.org%2Fabs%2F1705.05950">
 https://arxiv.org/abs/1705.05950</a> - about density biases in kernel clus
 tering</li></ul>
LOCATION:Seminar Room 1\, Newton Institute
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