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DESCRIPTION:  The industrial revolution started with the invention of the s
 team engine in the 19th century and has made physical work redundant to a l
 arge extend. Data Science and Artificial Intelligence (AI) might have the p
 otential to play a similar role for intellectual work.   There is a huge ov
 erlap of Data Science and AI with mathematics\, which on one hand comes wit
 h unprecedented social responsibility of mathematics and on the other hand 
 with lots of opportunities for application and extension of existing mathem
 atical concepts and results. In this talk\, I will give three examples. Fir
 st I will present some recent ideas on neural network training by Fredholm 
 integral equations (joint work with P. Gelß and A. Issgali).  Then I will r
 ely on recent work of other authors to discuss the curse of dimensionality 
 in neural network approximation\, and to finally sketch a backward error at
 tack on deep learning.    
DTSTAMP:20230628T125600
DTSTART:20230705T163000
CLASS:PUBLIC
LOCATION:Seminarraum 019\n Arnimallee 3\n 14195 Berlin
SEQUENCE:0
SUMMARY:Ralf Kornhuber (FU-Berlin): Neural networks\, Fredholm integral equ
 ations and all that jazz …
UID:135146317@/www.mi.fu-berlin.de
URL:https://www.mi.fu-berlin.de/math/dates/colloquium/2022/05-07-Kornhuber.
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