Plot latent space X in 1D:

        - if fig is given, create input_dim subplots in fig and plot in these
        - if ax is given plot input_dim 1D latent space plots of X into each `axis`
        - if neither fig nor ax is given create a figure with fignum and plot in there

    colors:
        colors of different latent space dimensions input_dim

def plot(parameterized, fignum=None, ax=None, colors=None, figsize=(12, 6)):
    """
    Plot latent space X in 1D:

        - if fig is given, create input_dim subplots in fig and plot in these
        - if ax is given plot input_dim 1D latent space plots of X into each `axis`
        - if neither fig nor ax is given create a figure with fignum and plot in there

    colors:
        colors of different latent space dimensions input_dim

    """
    if ax is None:
        fig = pb.figure(num=fignum, figsize=figsize)
    if colors is None:
        from ..Tango import mediumList
        from itertools import cycle
        colors = cycle(mediumList)
        pb.clf()
    else:
        colors = iter(colors)
    lines = []
    fills = []
    bg_lines = []
    means, variances = parameterized.mean.values, parameterized.variance.values
    x = np.arange(means.shape[0])
    for i in range(means.shape[1]):
        if ax is None:
            a = fig.add_subplot(means.shape[1], 1, i + 1)
        elif isinstance(ax, (tuple, list)):
            a = ax[i]
        else:
            raise ValueError("Need one ax per latent dimension input_dim")
        bg_lines.append(a.plot(means, c='k', alpha=.3))
        lines.extend(a.plot(x, means.T[i], c=next(colors), label=r"$\mathbf{{X_{{{}}}}}$".format(i)))
        fills.append(a.fill_between(x,
                        means.T[i] - 2 * np.sqrt(variances.T[i]),
                        means.T[i] + 2 * np.sqrt(variances.T[i]),
                        facecolor=lines[-1].get_color(),
                        alpha=.3))
        a.legend(borderaxespad=0.)
        a.set_xlim(x.min(), x.max())
        if i < means.shape[1] - 1:
            a.set_xticklabels('')
    pb.draw()
    a.figure.tight_layout(h_pad=.01) # , rect=(0, 0, 1, .95))
    return dict(lines=lines, fills=fills, bg_lines=bg_lines)