Talk:Discrete Optimal Transport: Difference between revisions

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==Statement of the Discrete Problems==
==Statement of the Discrete Problems==
* Perhaps make this first section its own subsection called ``notation``
* Maybe instead of ``Then any transport plan`` write ``Then any transport plan is of the form... for come choiceof nonnegative weights gij''
* Maybe instead of ``Then any transport plan`` write ``Then any transport plan is of the form... for come choiceof nonnegative weights gij''
* Explain heuristically that the transport plan encodes how to rearrange mu to look like nu
* Explain heuristically that the transport plan encodes how to rearrange mu to look like nu

Revision as of 22:57, 13 May 2020

Statement of the Discrete Problems

  • Perhaps make this first section its own subsection called ``notation``
  • Maybe instead of ``Then any transport plan`` write ``Then any transport plan is of the form... for come choiceof nonnegative weights gij
  • Explain heuristically that the transport plan encodes how to rearrange mu to look like nu
  • Maybe instead of ``(if it charged anything...``, make this its own sentence and write ``To see this, note that if it charged anything
  • Perhaps somethign like ``For SIMPLICITY of notion``
  • Before getting into the notation, explain that c(x,y) denotes the cost function (and if you want you can mention the special case of )
  • The last sentence is great. Consider tweaking it and making it the first sentence of this section. Perhaps ``We now describe the discrete framework. Essentially, we do this by replacing the space... vectors and matrices. In particular, we suppose that mu = sum...``