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"""
Functions for plotting OT matrices
.. warning::
Note that by default the module is not import in :mod:`ot`. In order to
use it you need to explicitely import :mod:`ot.plot`
"""
# Author: Remi Flamary <remi.flamary@unice.fr>
#
# License: MIT License
import numpy as np
import matplotlib.pylab as pl
from matplotlib import gridspec
def plot1D_mat(a, b, M, title=''):
""" Plot matrix M with the source and target 1D distribution
Creates a subplot with the source distribution a on the left and
target distribution b on the tot. The matrix M is shown in between.
Parameters
----------
a : ndarray, shape (na,)
Source distribution
b : ndarray, shape (nb,)
Target distribution
M : ndarray, shape (na, nb)
Matrix to plot
"""
na, nb = M.shape
gs = gridspec.GridSpec(3, 3)
xa = np.arange(na)
xb = np.arange(nb)
ax1 = pl.subplot(gs[0, 1:])
pl.plot(xb, b, 'r', label='Target distribution')
pl.yticks(())
pl.title(title)
ax2 = pl.subplot(gs[1:, 0])
pl.plot(a, xa, 'b', label='Source distribution')
pl.gca().invert_xaxis()
pl.gca().invert_yaxis()
pl.xticks(())
pl.subplot(gs[1:, 1:], sharex=ax1, sharey=ax2)
pl.imshow(M, interpolation='nearest')
pl.axis('off')
pl.xlim((0, nb))
pl.tight_layout()
pl.subplots_adjust(wspace=0., hspace=0.2)
def plot2D_samples_mat(xs, xt, G, thr=1e-8, **kwargs):
""" Plot matrix M in 2D with lines using alpha values
Plot lines between source and target 2D samples with a color
proportional to the value of the matrix G between samples.
Parameters
----------
xs : ndarray, shape (ns,2)
Source samples positions
b : ndarray, shape (nt,2)
Target samples positions
G : ndarray, shape (na,nb)
OT matrix
thr : float, optional
threshold above which the line is drawn
**kwargs : dict
paameters given to the plot functions (default color is black if
nothing given)
"""
if ('color' not in kwargs) and ('c' not in kwargs):
kwargs['color'] = 'k'
mx = G.max()
for i in range(xs.shape[0]):
for j in range(xt.shape[0]):
if G[i, j] / mx > thr:
pl.plot([xs[i, 0], xt[j, 0]], [xs[i, 1], xt[j, 1]],
alpha=G[i, j] / mx, **kwargs)
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