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SUMMARY:Ya-xiang Yuan (Chinese Academy of Sciences)
DTSTART:20201214T143000Z
DTEND:20201214T153000Z
DTSTAMP:20260423T021002Z
UID:OWOS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWOS/27/">Or
 thogonality-free Approaches for Optimization Problems on Stiefel Manifold<
 /a>\nby Ya-xiang Yuan (Chinese Academy of Sciences) as part of One World O
 ptimization seminar\n\n\nAbstract\nIn this talk\, I will discuss some orth
 ogonality-free approaches for optimization problems on Stiefel manifold. S
 tiefel manifold consists of matrices with orthogonal columns. Optimization
  problems with orthogonality constraints appear in many important applicat
 ions such as leading eigenvalues computation\, discretized Kohn-Sham total
  energy minimization\, and sparse principal component analysis. We present
  new algorithms for solving optimization problems on Stieful manifold. The
 se algorithms are based on penalty functions\, thus there are no needs to 
 carry out orthogonalization calculations in each iteration. The major comp
 utation cost of orthogonality-free algorithms is in the form of matrix-mat
 rix multiplication\, which has the advantage of being parallelized easily.
  Problems with both smooth and nonsmooth objective functions are considere
 d. Theoretical properties of our algorithms are discussed and numerical ex
 periments are also presented.\n\nThe address and password of the zoom room
  of the seminar are sent by e-mail on the mailinglist of the seminar one d
 ay before each talk\n
LOCATION:https://researchseminars.org/talk/OWOS/27/
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