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SUMMARY:Afonso Bandeira (ETH Zurich)
DTSTART:20200604T163000Z
DTEND:20200604T173000Z
DTSTAMP:20260423T003301Z
UID:MPML/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MPML/2/">Com
 putation\, statistics\, and optimization of random functions</a>\nby Afons
 o Bandeira (ETH Zurich) as part of Mathematics\, Physics and Machine Learn
 ing (IST\, Lisbon)\n\n\nAbstract\nWhen faced with a data analysis\, learni
 ng\, or statistical inference problem\, the amount and quality of data ava
 ilable fundamentally determines whether such tasks can be performed with c
 ertain levels of accuracy. Indeed\, many theoretical disciplines study lim
 its of such tasks by investigating whether a dataset effectively contains 
 the information of interest. With the growing size of datasets however\, i
 t is crucial not only that the underlying statistical task is possible\, b
 ut also that is doable by means of efficient algorithms. In this talk we w
 ill discuss methods aiming to establish limits of when statistical tasks a
 re possible with computationally efficient methods or when there is a fund
 amental Statistical-to-Computational gap in which an inference task is sta
 tistically possible but inherently computationally hard.\n\nThis is intima
 tely related to understanding the geometry of random functions\, with conn
 ections to statistical physics\, study of spin glasses\, random geometry\;
  and in an important example\, algebraic invariant theory.\n
LOCATION:https://researchseminars.org/talk/MPML/2/
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