Alert icon
We're changing our privacy policy. This stuff matters.  Learn more  Dismiss

SVM with polynomial kernel visualization

Loading...

Sign in or sign up now!
Alert icon
Upgrade to the latest Flash Player for improved playback performance. Upgrade now or more info.
46,879
Loading...
Alert icon
Sign in or sign up now!
Alert icon

Uploaded by on Feb 5, 2007

This short video demonstrates how vectors of two classes that cannot be linearly separated in 2-D space,
can become linearly separated by a transformation function into a higher
dimensional space.

The transformation used is:
f([x y]) = [x y (x^2+y^2)]

If you would like a stand-alone file with a high-res version of this movie for academic purposes please contact me.

Category:

Howto & Style

Tags:

License:

Standard YouTube License

Link to this comment:

Share to:

Uploader Comments (udiprod)

  • Thanks, very clear.

    What would be the kernel for this transformation?

  • Thanks.

    The kernel is the dot product in the higher-dimensional space. In this case:

    K( [x1 y1], [x2 y2] ) =

    [x1 y1 x1^2+y1^2][x2 y2 x2^2 y2^2] =

    x1x2+y1y2+(x1^2+y1^2)(x2^2+y2^­2)

  • good video,

    you created it using any tools and languages ?

  • Yes. I created it using Autodesk Maya. Thanks!

see all

All Comments (28)

Sign In or Sign Up now to post a comment!
  • Thank you for the inspiration, here's another one: ciri.be/blog/?p=593 based on yours.

  • Very helpful, it was!

  • Very helpful, simple and clear! Nice! Thank you very much.

  • thank you , very informative when visualized

  • great for teaching, thank you for doing this.

  • Thank you. This explains it nicely. I just hope it comes up in my exam :)

  • I use this video whenever I have to explain to people what I do. Thanks. :D

  • very intensive. in 30 seconds you explain the intrinsic meaning.

    Tanks

  • ||Hari Om||

    Thanks

  • ||Hari Om||

Loading...
Alert icon
0 / 00Unsaved Playlist Return to active list
    1. Your queue is empty. Add videos to your queue using this button:
      or sign in to load a different list.
    Loading...Loading...Saving...
    • Clear all videos from this list
    • Learn more