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DTSTART:20240310T070000
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DTSTART;TZID=America/Toronto:20241115T153000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/tutte-colloq
 uium-guoyin-li
SUMMARY:Tutte colloquium-Guoyin Li
CLASS:PUBLIC
DESCRIPTION:TITLE: Proximal methods for nonsmooth and nonconvex fractional\
 nprograms: when sparse optimization meets fractional programs\n\nSPEAKER:\
 n Guoyin Li\n\nAFFILIATION:\n University of New South Wales \n\nLOCATION:\
 n MC 5501\n\nABSTRACT:Nonsmooth and nonconvex fractional programs are ubiq
 uitous\nand also highly challenging. It includes the composite optimizatio
 n\nproblems studied extensively lately\, and encompasses many important\nm
 odern optimization problems arising from diverse areas such as the\nrecent
  proposed scale invariant sparse signal reconstruction problem\nin signal 
 processing\, the robust Sharpe ratio optimization problems in\nfinance and
  the sparse generalized eigenvalue problem in\ndiscrimination analysis. \n
 \nIn this talk\, we will introduce extrapolated proximal methods for\nsolv
 ing nonsmooth and nonconvex fractional programs and analyse their\nconverg
 ence behaviour. Interestingly\, we will show that the proposed\nalgorithm 
 exhibits linear convergence for the scale invariant sparse\nsignal reconst
 ruction model\,  and the sparse generalized eigenvalue\nproblem with eith
 er cardinality regularization or sparsity\nconstraints. This is achieved b
 y identifying the explicit\ndesingularization function of the Kurdyka-_Ł_
  ojasiewicz inequality\nfor the merit function of the fractional optimizat
 ion models. Finally\,\nif time permits\, we will present some preliminary 
 encouraging\nnumerical results for the proposed methods for sparse signal\
 nreconstruction and sparse Fisher discriminant analysis\n\nThe talk is bas
 ed on joint work with R.I. Bo ̧t\, M. Dao\, T.K. Pong\nand P. Yu.\n\n \n
 \n 
DTSTAMP:20260404T194158Z
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