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ot.plot — POT Python Optimal Transport 0.9.5 documentation

Functions for plotting OT matrices

Warning

Note that by default the module is not import in ot. In order to use it you need to explicitly import ot.plot

ot.plot.plot1D_mat(a, b, M, title='', plot_style='yx', a_label='', b_label='', color_source='b', color_target='r', coupling_cmap='gray_r')[source]

Plot matrix \(\mathbf{M}\) with the source and target 1D distributions.

Creates a subplot with the source distribution \(\mathbf{a}\) and target distribution \(\mathbf{b}`t. In 'yx' mode (default), the source is on the left and the target on the top, and in 'xy' mode, source on the bottom (upside down) and the target on the left. The matrix :math:\)mathbf{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

• title (str, optional) – Title of the plot

• plot_style (str, optional) – Style of the plot, ‘yx’ or ‘xy’. ‘yx’ places the source on the left and the target on the top, ‘xy’ places the source on the bottom (upside down) and the target on the left.

• a_label (str, optional) – Label for source distribution

• b_label (str, optional) – Label for target distribution

• color_source (str, optional) – Color of the source distribution

• color_target (str, optional) – Color of the target distribution

• coupling_cmap (str, optional) – Colormap for the coupling matrix

Returns:

• ax1 (source plot ax)

• ax2 (target plot ax)

• ax3 (coupling plot ax)

• .. seealso:: – rescale_for_imshow_plot()

ot.plot.plot2D_samples_mat(xs, xt, G, thr=1e-08, **kwargs)[source]

Plot matrix \(\mathbf{G}\) 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 \(\mathbf{G}\) 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) – parameters given to the plot functions (default color is black if nothing given)

ot.plot.rescale_for_imshow_plot(x, y, n, m=None, a_y=None, b_y=None)[source]

Gives arrays xr, yr that can be plotted over an (n, m) imshow plot (in ‘xy’ coordinates). If a_y or b_y is provided, y is sliced over its indices such that y stays in [ay, by].

Parameters:

• x (ndarray, shape (nx,))

• y (ndarray, shape (nx,))

• n (int) – x-axis size of the imshow plot on which to plot (x, y)

• m (int, optional) – y-axis size of the imshow plot, defaults to n

• a_y (float, optional) – Lower bound for y

• b_y (float, optional) – Upper bound for y

Returns:

• xr (ndarray, shape (nx,)) – Rescaled x values (due to slicing, may have less elements than x)

• yr (ndarray, shape (nx,)) – Rescaled y values (due to slicing, may have less elements than y)

• .. seealso:: – plot1D_mat()

ot.plot.plot1D_mat(a, b, M, title='', plot_style='yx', a_label='', b_label='', color_source='b', color_target='r', coupling_cmap='gray_r')[source]

Plot matrix \(\mathbf{M}\) with the source and target 1D distributions.

Creates a subplot with the source distribution \(\mathbf{a}\) and target distribution \(\mathbf{b}`t. In 'yx' mode (default), the source is on the left and the target on the top, and in 'xy' mode, source on the bottom (upside down) and the target on the left. The matrix :math:\)mathbf{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

• title (str, optional) – Title of the plot

• plot_style (str, optional) – Style of the plot, ‘yx’ or ‘xy’. ‘yx’ places the source on the left and the target on the top, ‘xy’ places the source on the bottom (upside down) and the target on the left.

• a_label (str, optional) – Label for source distribution

• b_label (str, optional) – Label for target distribution

• color_source (str, optional) – Color of the source distribution

• color_target (str, optional) – Color of the target distribution

• coupling_cmap (str, optional) – Colormap for the coupling matrix

Returns:

• ax1 (source plot ax)

• ax2 (target plot ax)

• ax3 (coupling plot ax)

• .. seealso:: – rescale_for_imshow_plot()

ot.plot.plot2D_samples_mat(xs, xt, G, thr=1e-08, **kwargs)[source]

Plot matrix \(\mathbf{G}\) 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 \(\mathbf{G}\) 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) – parameters given to the plot functions (default color is black if nothing given)

ot.plot.rescale_for_imshow_plot(x, y, n, m=None, a_y=None, b_y=None)[source]

Gives arrays xr, yr that can be plotted over an (n, m) imshow plot (in ‘xy’ coordinates). If a_y or b_y is provided, y is sliced over its indices such that y stays in [ay, by].

Parameters:

• x (ndarray, shape (nx,))

• y (ndarray, shape (nx,))

• n (int) – x-axis size of the imshow plot on which to plot (x, y)

• m (int, optional) – y-axis size of the imshow plot, defaults to n

• a_y (float, optional) – Lower bound for y

• b_y (float, optional) – Upper bound for y

Returns:

• xr (ndarray, shape (nx,)) – Rescaled x values (due to slicing, may have less elements than x)

• yr (ndarray, shape (nx,)) – Rescaled y values (due to slicing, may have less elements than y)

• .. seealso:: – plot1D_mat()

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