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Sunday, February 06, 2011

Reading the Donoho-Tanner Diagram


As I was reading the Donoho-Tanner phase transition recently, I had difficulty "moving around" the graph. Here is the graph with iso-k/N curves  ( y = (k/N) / x ) with the following conventions:
  • k stands for the sparsity of the solution
  • m for the number of measurements or the number of equations
  • N for the dimension of the underlying space or the number of unknowns.
  • k/m is the under-sampling ratio
  • m/N is the over-sampling ratio

2 comments:

  1. Yeah I know what you mean, I'm trying to draw parallels to thermodynamics...do you have any suggestions on that?

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  2. You might want to read the paper by Donoho and Tanner to see if there is a connection.

    Igor.

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