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SUMMARY:Low-rank approximation of analytic kernels - Marcus Webb (Universi
 ty of Manchester)
DTSTART:20260312T150000Z
DTEND:20260312T160000Z
UID:TALK236725@talks.cam.ac.uk
CONTACT:Georg Maierhofer
DESCRIPTION:Many algorithms in scientific computing and data science take 
 advantage of low-rank approximation of matrices and kernels\, and understa
 nding why nearly-low-rank structure occurs is essential for their analysis
  and further development. In this talk I will discuss a new framework for 
 bounding the best low-rank approximation error of matrices arising from sa
 mples of a kernel that is analytically continuable in one of its variables
  to an open region of the complex plane. Elegantly\, the low-rank approxim
 ations used in the proof are computable by rational interpolation using th
 e roots and poles of Zolotarev rational functions\, leading to a fast algo
 rithm for their construction. A preprint can be found at https://arxiv.org
 /abs/2509.14017.
LOCATION:Centre for Mathematical Sciences\, MR14
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