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SUMMARY:Guoyin Li (University of New South Wales)
DTSTART:20201207T143000Z
DTEND:20201207T153000Z
DTSTAMP:20260423T021006Z
UID:OWOS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWOS/26/">Es
 timating the Exponents of Kurdyka-Łojasiewicz (KL) Inequality and Error B
 ounds for Optimization Models</a>\nby Guoyin Li (University of New South W
 ales) as part of One World Optimization seminar\n\n\nAbstract\nThe Kurdyka
 -Łojasiewicz (KL) inequality and error bounds are two fundamental tools f
 or establishing convergence of many numerical methods. In particular\, the
  exponents of the KL inequality and error bounds play an important role in
  estimating the convergence rate of many contemporary first-order methods.
  Nevertheless\, these exponents are extremely hard to estimate in general\
 , particularly in the case where the associated mappings are not polyhedra
 l. In this talk\, we will outline some strategies in estimating or identif
 ying these exponents by exploiting the so-called inf-projection operation 
 and specific structure such as polynomial structure\, semi-definite cone p
 rogram representability and $C^2$-cone reducible structures.\n\nThe addres
 s and password of the zoom room of the seminar are sent by e-mail on the m
 ailinglist of the seminar one day before each talk\n
LOCATION:https://researchseminars.org/talk/OWOS/26/
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