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SUMMARY:Lars Ruthotto (Emory University)
DTSTART:20200701T201500Z
DTEND:20200701T204000Z
DTSTAMP:20260423T040151Z
UID:SciDL/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SciDL/9/">De
 ep Neural Networks Motivated by PDEs</a>\nby Lars Ruthotto (Emory Universi
 ty) as part of Workshop on Scientific-Driven Deep Learning (SciDL)\n\n\nAb
 stract\nOne of the most promising areas in artificial intelligence is deep
  learning\, a form of machine learning that uses neural networks containin
 g many hidden layers. Recent success has led to breakthroughs in applicati
 ons such as speech and image recognition. However\, more theoretical insig
 ht is needed to create a rigorous scientific basis for designing and train
 ing deep neural networks\, increasing their scalability\, and providing in
 sight into their reasoning. This talk bridges the gap between partial diff
 erential equations (PDEs) and neural networks and presents a new mathemati
 cal paradigm that simplifies designing\, training\, and analyzing deep neu
 ral networks. It shows that training deep neural networks can be cast as a
  dynamic optimal control problem similar to path-planning and optimal mass
  transport. The talk outlines how this interpretation can improve the effe
 ctiveness of deep neural networks. First\, the talk introduces new types o
 f neural networks inspired by to parabolic\, hyperbolic\, and reaction-dif
 fusion PDEs. Second\, the talk outlines how to accelerate training by expl
 oiting reversibility properties of the underlying PDEs.\n
LOCATION:https://researchseminars.org/talk/SciDL/9/
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