About the Author

Hi! My Name is Dustin Stansbury. I recently received my PhD from UC Berkeley in Vision Science under the supervision of Jack Gallant. My academic research interests involve, but are not limited to:

  • Neural Computation
  • Machine Learning (particularly neural networks)
  • Natural Scene Statistics
  • Visual Perception
  • Computer Vision
  • Signal Processing
  • Neuroimaging (e.g. Functional Magnetic Resonance Imaging (fMRI))

My personal/academic page is here.

  1. Hi Dustin: Your explanation of MCMC using Hamiltonian dynamics is
    the nicest, kindest, gentlest explanation that I have found and I have looked hard and was extremely confused until I read your explanation. I have to read it a few times for sure but I just have one question if you don’t mind. Could you explain how you get the original relations for partial x with respect to t and partial p with respect to t. You write both of them as a function of partial derivative of H and I don’t understand that step. Thank you very much for any enlightment and also for your beautiful hamiltonian explanation

    • Glad to be of help. As for the expressions dx/dt = dH/dp, and dp/dt = -dH/dx, those are simply the Hamilton’s characteristic equations. I didn’t come up with them, they are commonly used in physics to describe the dynamics of a closed system. Hamilton’s equations can be derived from the differential of the Langrangian for a closed system, but the derivation is somewhat involved. There is a nice example on Wikipedia, if you’re interested: http://en.wikipedia.org/wiki/Hamiltonian_mechanics

  2. Hi, i really liked ur post on markov chains. However, i would also like to understand continuous time markov chains. If you can suggest any good help on its implementation in matlab it would be really great.

  3. Your site is a fantastic resource — it’s good for me to remember that in addition to the vicious crap out there there is also treasure like this. Thanks so much for contributing to the signal.

  4. Hi Dustin,
    I would like to thank you and congratulate you about this amazing web. I think you are doing a very nice thing in here.

  5. Patrick Gourdet

    This is truly amazing work.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: