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SUMMARY:Differential calculus on Persistence barcodes
DTSTART:20200310T161500
DTSTAMP:20260501T113902Z
UID:2e30a52073c19bcf0425cdef80cdf3a7894a4131109510911a853fdd
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jacob Leygonie\nIn this talk I will define notions of differen
 tiability for maps from and to the space of persistence barcodes. Inspired
  from diffeology theory\, the proposed framework uses lifts to the space o
 f ordered barcodes\, from which derivatives can be computed. The two deriv
 ed notions of differentiability (respectively from and to the space of bar
 codes) combine together naturally to produce a chain rule that enables the
  use of gradient descent for objective functions factoring through the spa
 ce of barcodes. I will illustrate the versatility of this framework by sho
 wing how it can be used to analyze the smoothness of various parametrized 
 families of filtrations arising in the TDA literature.\n\nSpeaker: Jacob L
 eygonie\, University of Oxford\n\nMore information can be found on the se
 minar's webpage: https://www.epfl.ch/labs/hessbellwald-lab/seminar/apptop
 sem1920/#Leygonie
LOCATION:MA B2 485 https://plan.epfl.ch/?room==MA%20B2%20485
STATUS:CONFIRMED
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