summaryrefslogtreecommitdiff
path: root/notebooks/plot_free_support_barycenter.ipynb
diff options
context:
space:
mode:
Diffstat (limited to 'notebooks/plot_free_support_barycenter.ipynb')
-rw-r--r--notebooks/plot_free_support_barycenter.ipynb10
1 files changed, 6 insertions, 4 deletions
diff --git a/notebooks/plot_free_support_barycenter.ipynb b/notebooks/plot_free_support_barycenter.ipynb
index b8df589..018353c 100644
--- a/notebooks/plot_free_support_barycenter.ipynb
+++ b/notebooks/plot_free_support_barycenter.ipynb
@@ -124,12 +124,14 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -137,7 +139,7 @@
"pl.figure(1)\n",
"for (x_i, b_i) in zip(measures_locations, measures_weights):\n",
" color = np.random.randint(low=1, high=10 * N)\n",
- " pl.scatter(x_i[:, 0], x_i[:, 1], s=b * 1000, label='input measure')\n",
+ " pl.scatter(x_i[:, 0], x_i[:, 1], s=b_i * 1000, label='input measure')\n",
"pl.scatter(X[:, 0], X[:, 1], s=b * 1000, c='black', marker='^', label='2-Wasserstein barycenter')\n",
"pl.title('Data measures and their barycenter')\n",
"pl.legend(loc=0)\n",
@@ -161,7 +163,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.5"
+ "version": "3.6.9"
}
},
"nbformat": 4,