From 7f0739f73fa6a8c7fa22269c727b48d3640627be Mon Sep 17 00:00:00 2001 From: Rémi Flamary Date: Tue, 25 Jun 2019 07:41:47 +0200 Subject: first shot part OT Wass --- docs/source/quickstart.rst | 13 +++++++++++++ 1 file changed, 13 insertions(+) (limited to 'docs') diff --git a/docs/source/quickstart.rst b/docs/source/quickstart.rst index 3d3ce98..ac96f26 100644 --- a/docs/source/quickstart.rst +++ b/docs/source/quickstart.rst @@ -11,6 +11,10 @@ to use for different problems related to optimal transport (OT). Optimal transport and Wasserstein distance ------------------------------------------ + +Solving optimal transport +^^^^^^^^^^^^^^^^^^^^^^^^^ + The optimal transport problem between discrete distributions is often expressed as .. math:: @@ -39,6 +43,8 @@ that will return the optimal transport matrix :math:`\gamma^*`: - :any:`auto_examples/plot_OT_1D` - :any:`auto_examples/plot_OT_L1_vs_L2` +Computing Wasserstein distance +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The value of the OT solution is often more of interest that the OT matrix : @@ -60,6 +66,13 @@ properties. It can computed from an already estimated OT matrix with # M is the ground cost matrix W=ot.emd2(a,b,M) # Wasserstein distance / EMD value + +.. hint:: + Examples of use for :any:`ot.emd2` are available in the following examples: + + - :any:`auto_examples/plot_compute_emd` + + .. note:: In POT, most functions that solve OT or regularized OT problems have two versions that return the OT matrix or the value of the optimal solution. Fir -- cgit v1.2.3