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SUMMARY:Romain Couillet (CentraleSupélec\, Université Paris-Saclay)
DTSTART:20210507T083000Z
DTEND:20210507T100000Z
DTSTAMP:20260423T022715Z
UID:MEGA/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MEGA/25/">Wh
 y Random Matrices can Change the Future of Research in AI?</a>\nby Romain 
 Couillet (CentraleSupélec\, Université Paris-Saclay) as part of Séminai
 re MEGA\n\n\nAbstract\nMachine learning and AI algorithms are becoming inc
 reasingly more powerful but also increasingly more complex\, mathematicall
 y less tractable\, and energetically less environmental friendly. In this 
 talk\, we will demonstrate that large dimensional statistics\, and particu
 larly random matrix theory\, simultaneously (i) explains why ML algorithms
  are so stable when dealing with large dimensional data\, (ii) manages to 
 break the difficulties that make these algorithms mathematically intractab
 le (non-linearities and data modelling)\, thereby (iii) allowing for the f
 irst time to get (iii-a) an inside understanding of the algorithms\, of th
 eir multiple biases and\, most crucially\, of their quite counter-intuitiv
 e behavior as well as (iii-b) a toolbox to easily improve the algorithms p
 erformance and cost efficiency. Possibly even more surprisingly\, the univ
 ersality notion in random matrix theory shows (iv) why ML algorithms appli
 ed to intricate real data (in general impossible to model) behave the same
  as when applied to elementary Gaussian random vector models.\n\nThe cours
 e will introduce basic notions of random matrix theory by emphasizing on t
 he counter-intuitive behavior of large dimensional data (so to raise aware
 ness in the audience). These notions will be applied to a range of telling
  applications in machine learning (spectral clustering\, semi-supervised l
 earning\, transfer learning\, low-cost processing\, etc.).\n\nThe audience
  can dynamically decide on which topic they'd like me to cover preferably.
  A time for debate will also be given for the audience to react on the pre
 sentation. An extensive coverage of the class material is available online
  in the upcoming book “Romain COUILLET\, Zhenyu LIAO\, “Random Matrix 
 Theory for Machine Learning” https://romaincouillet.hebfree.org/book.htm
 l\n
LOCATION:https://researchseminars.org/talk/MEGA/25/
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