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SUMMARY:Identifying a piecewise affine signal from its nonlinear observati
 on - application to DNA replication analysis
DTSTART:20251216T130000Z
DTEND:20251216T140000Z
DTSTAMP:20260504T090100Z
UID:indico-event-15476@indico.math.cnrs.fr
DESCRIPTION:Speakers: Clara Lage\n\nAn important challenge in DNA replicat
 ion analysis is to recover the so-called replication timing profile\, that
  contains important information about the DNA replication dynamics. We sho
 w that using recent replication data\, this problem can be expressed as a 
 nonlinear inverse problem where the unknown timing profile  is assumed to
  be piecewise affine. We propose a novel formalism and computational appr
 oach to harness it. In the noiseless case\, we establish sufficient identi
 fiability conditions for the timing profile\, and prove that it is the sol
 ution of a non-convex optimization problem. This problem is specially chal
 lenging because of  its multiple local minima.  We propose the DNA-Inver
 se optimization method that provably finds the global solution in the nois
 eless case and is shown to be numerically effective for noisy signals. Bes
 ides being more computationally effective than thestate-of-the-art optimiz
 ation methods\, our approach automatically recovers the full configuration
  of the replication dynamics.This is crucial for DNA replication analysis\
 , and was not possible with previous methods.\n\nhttps://indico.math.cnrs.
 fr/event/15476/
LOCATION:Salle 112 (Bât Braconnier La Doua)
URL:https://indico.math.cnrs.fr/event/15476/
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