Xavier Bresson: "Convolutional Neural Networks on Graphs"

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  • เผยแพร่เมื่อ 15 ก.พ. 2018
  • New Deep Learning Techniques 2018
    "Convolutional Neural Networks on Graphs"
    Xavier Bresson, Nanyang Technological University, Singapore
    Abstract: Convolutional neural networks have greatly improved state-of-the-art performances in computer vision and speech analysis tasks, due to its high ability to extract multiple levels of representations of data. In this talk, we are interested in generalizing convolutional neural networks from low-dimensional regular grids, where image, video and speech are represented, to high-dimensional irregular domains, such as social networks, telecommunication networks, or words' embedding. We present a formulation of convolutional neural networks on graphs in the context of spectral graph theory, which provides the necessary mathematical background and efficient numerical schemes to design fast localized convolutional filters on graphs. Numerical experiments demonstrate the ability of the system to learn local stationary features on graphs.
    Institute for Pure and Applied Mathematics, UCLA
    February 7, 2018
    For more information: www.ipam.ucla.edu/programs/wor...
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ความคิดเห็น • 12

  • @alalize
    @alalize 5 ปีที่แล้ว +2

    Very interesting talk and introduction to a topic I didn't know about. Thanks ! :)

  • @alexanderyau6347
    @alexanderyau6347 5 ปีที่แล้ว +10

    31:40 for Graph NN

  • @bingeltube
    @bingeltube 6 ปีที่แล้ว

    Very recommendable!

  • @MaxWasserman1
    @MaxWasserman1 4 ปีที่แล้ว +6

    Link(s) to the slides:
    helper.ipam.ucla.edu/publications/dlt2018/dlt2018_14506.pdf
    or
    www.dropbox.com/s/0nbeo7jjn2l01us/talk_IPAM_07Feb18.pdf?dl=0

    • @ujjawalpanchal
      @ujjawalpanchal 2 ปีที่แล้ว

      Thank you so much! I was just about to ask for it.

  • @schrilax
    @schrilax ปีที่แล้ว

    why do we need to extract eigen vectors and values from graph laplacian ? what is the motivation ? how does it help me ?

  • @yelopeeeech
    @yelopeeeech 5 ปีที่แล้ว +3

    18:00 for Graph Coarsening

  • @sachinbiradar9
    @sachinbiradar9 5 ปีที่แล้ว +4

    At 12:00 I think the Eigendecomposition is Δ = Φ Λ Φ'

    • @cypressmaccarthy8132
      @cypressmaccarthy8132 5 ปีที่แล้ว

      right

    • @alalize
      @alalize 5 ปีที่แล้ว

      Lambda is diagonal so symmetric and the laplacian is symmetric, I believe, so if you transpose you get Laplacian = phi' Lambda phi and he didn't err.

    • @keeperofthelight9681
      @keeperofthelight9681 5 ปีที่แล้ว +3

      That looks like an emoticon

    • @alalize
      @alalize 5 ปีที่แล้ว +4

      @@keeperofthelight9681 More specifically, a cat ?