diff --git a/08_dimensionality_reduction.ipynb b/08_dimensionality_reduction.ipynb
index a1c15e9..153e6ce 100644
--- a/08_dimensionality_reduction.ipynb
+++ b/08_dimensionality_reduction.ipynb
@@ -1476,7 +1476,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1485,7 +1485,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 74,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1497,7 +1497,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 75,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1529,7 +1529,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1538,7 +1538,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1549,7 +1549,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1564,7 +1564,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 79,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1573,7 +1573,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 80,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1596,7 +1596,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 81,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1605,7 +1605,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 82,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1620,7 +1620,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1637,7 +1637,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 84,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1649,7 +1649,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 85,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1675,7 +1675,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 86,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1684,7 +1684,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 87,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1702,7 +1702,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 88,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1711,7 +1711,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 89,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1727,7 +1727,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 90,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1743,7 +1743,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 91,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1759,7 +1759,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 92,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1783,7 +1783,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 93,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1829,7 +1829,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 94,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1862,7 +1862,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 95,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1878,7 +1878,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 96,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1919,7 +1919,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 97,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1943,7 +1943,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 98,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1996,7 +1996,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 99,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2019,7 +2019,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 100,
+   "execution_count": 32,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2051,7 +2051,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 101,
+   "execution_count": 33,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2067,7 +2067,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 102,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2084,7 +2084,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 103,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2107,7 +2107,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 104,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2116,7 +2116,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 105,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2139,7 +2139,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 106,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2157,7 +2157,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 107,
+   "execution_count": 39,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2199,7 +2199,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 108,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2208,7 +2208,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 109,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2241,7 +2241,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 110,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2250,7 +2250,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 111,
+   "execution_count": 43,
    "metadata": {
     "scrolled": true
    },
@@ -2275,7 +2275,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 112,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2284,7 +2284,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 113,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2294,7 +2294,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 114,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2310,7 +2310,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 115,
+   "execution_count": 47,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2321,7 +2321,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 116,
+   "execution_count": 48,
    "metadata": {
     "scrolled": false
    },
@@ -2340,7 +2340,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 117,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2357,7 +2357,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 118,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2366,7 +2366,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 119,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2398,7 +2398,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 120,
+   "execution_count": 52,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2414,7 +2414,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 121,
+   "execution_count": 53,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2423,7 +2423,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 122,
+   "execution_count": 54,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2439,7 +2439,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 123,
+   "execution_count": 55,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2448,62 +2448,47 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 124,
+   "execution_count": 80,
    "metadata": {},
    "outputs": [],
    "source": [
-    "inertia_ratios = []\n",
-    "time_ratios = []\n",
-    "for k in range(1, 100):\n",
+    "times = np.empty((100, 2))\n",
+    "inertias = np.empty((100, 2))\n",
+    "for k in range(1, 101):\n",
     "    kmeans = KMeans(n_clusters=k, random_state=42)\n",
     "    minibatch_kmeans = MiniBatchKMeans(n_clusters=k, random_state=42)\n",
-    "    print(\"\\r{}/{}\".format(k + 1, 100), end=\"\")\n",
-    "    time_kmeans = timeit(\"kmeans.fit(X)\", number=10, globals=globals())\n",
-    "    time_minibatch_kmeans = timeit(\"minibatch_kmeans.fit(X)\", number=10, globals=globals())\n",
-    "    inertia_ratios.append(minibatch_kmeans.inertia_ / kmeans.inertia_)\n",
-    "    time_ratios.append(time_minibatch_kmeans / time_kmeans)"
+    "    print(\"\\r{}/{}\".format(k, 100), end=\"\")\n",
+    "    times[k-1, 0] = timeit(\"kmeans.fit(X)\", number=10, globals=globals())\n",
+    "    times[k-1, 1]  = timeit(\"minibatch_kmeans.fit(X)\", number=10, globals=globals())\n",
+    "    inertias[k-1, 0] = kmeans.inertia_\n",
+    "    inertias[k-1, 1] = minibatch_kmeans.inertia_"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 125,
+   "execution_count": 103,
    "metadata": {},
    "outputs": [],
-   "source": [
-    "from sklearn.linear_model import LinearRegression"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 126,
-   "metadata": {
-    "scrolled": true
-   },
-   "outputs": [],
    "source": [
     "plt.figure(figsize=(10,4))\n",
     "\n",
-    "lin_reg_inertia = LinearRegression()\n",
-    "lin_reg_time = LinearRegression()\n",
-    "lin_reg_inertia.fit(np.arange(1, 100).reshape(-1, 1), inertia_ratios)\n",
-    "lin_reg_time.fit(np.arange(1, 100).reshape(-1, 1), time_ratios)\n",
-    "\n",
     "plt.subplot(121)\n",
-    "plt.plot(range(1, 100), inertia_ratios, \"bo\")\n",
-    "plt.plot([0, 100], [1.0, 1.0], \"r--\")\n",
-    "plt.plot([0, 100], lin_reg_inertia.predict([[0], [100]]), \"k-\")\n",
+    "plt.plot(range(1, 101), inertias[:, 0], \"r--\", label=\"K-Means\")\n",
+    "plt.plot(range(1, 101), inertias[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n",
     "plt.xlabel(\"$k$\", fontsize=16)\n",
-    "plt.ylabel(\"Minibatch / K-Means Ratio\", fontsize=14)\n",
-    "plt.title(\"Inertia Ratio\", fontsize=14)\n",
-    "plt.axis([1, 99, np.min(inertia_ratios) * 0.98, np.max(inertia_ratios) * 1.02])\n",
+    "#plt.ylabel(\"Inertia\", fontsize=14)\n",
+    "plt.title(\"Inertia\", fontsize=14)\n",
+    "plt.legend(fontsize=14)\n",
+    "plt.axis([1, 100, 0, 100])\n",
     "\n",
     "plt.subplot(122)\n",
-    "plt.plot(range(1, 100), time_ratios, \"bo\")\n",
-    "plt.plot([0, 100], [1.0, 1.0], \"r--\")\n",
-    "plt.plot([0, 100], lin_reg_time.predict([[0], [100]]), \"k-\")\n",
+    "plt.plot(range(1, 101), times[:, 0], \"r--\", label=\"K-Means\")\n",
+    "plt.plot(range(1, 101), times[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n",
     "plt.xlabel(\"$k$\", fontsize=16)\n",
-    "plt.title(\"Training Time Ratio\", fontsize=14)\n",
-    "plt.axis([2, 99, np.min(time_ratios) * 0.98, np.max(time_ratios) * 1.02])\n",
+    "#plt.ylabel(\"Training time (seconds)\", fontsize=14)\n",
+    "plt.title(\"Training time (seconds)\", fontsize=14)\n",
+    "plt.axis([1, 100, 0, 6])\n",
+    "#plt.legend(fontsize=14)\n",
     "\n",
     "save_fig(\"minibatch_kmeans_vs_kmeans\")\n",
     "plt.show()"
@@ -2747,7 +2732,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 138,
+   "execution_count": 118,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2761,7 +2746,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 139,
+   "execution_count": 119,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3324,7 +3309,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 176,
+   "execution_count": 106,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3333,7 +3318,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 177,
+   "execution_count": 107,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3342,7 +3327,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 178,
+   "execution_count": 108,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3351,17 +3336,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 179,
+   "execution_count": 112,
    "metadata": {},
    "outputs": [],
    "source": [
-    "dbscan = DBSCAN(eps=0.05)\n",
+    "dbscan = DBSCAN(eps=0.05, min_samples=5)\n",
     "dbscan.fit(X)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 180,
+   "execution_count": 113,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3370,7 +3355,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 181,
+   "execution_count": 114,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3379,7 +3364,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 182,
+   "execution_count": 115,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3388,7 +3373,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 183,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3397,7 +3382,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 184,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3406,7 +3391,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 185,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3416,7 +3401,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 186,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3444,22 +3429,22 @@
     "        plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n",
     "    else:\n",
     "        plt.tick_params(labelleft='off')\n",
-    "    plt.title(\"eps={:.2f}\".format(dbscan.eps), fontsize=14)"
+    "    plt.title(\"eps={:.2f}, min_samples={}\".format(dbscan.eps, dbscan.min_samples), fontsize=14)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 187,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
     "plt.figure(figsize=(9, 3.2))\n",
     "\n",
     "plt.subplot(121)\n",
-    "plot_dbscan(dbscan, X, size=600)\n",
+    "plot_dbscan(dbscan, X, size=100)\n",
     "\n",
     "plt.subplot(122)\n",
-    "plot_dbscan(dbscan2, X, size=100, show_ylabels=False)\n",
+    "plot_dbscan(dbscan2, X, size=600, show_ylabels=False)\n",
     "\n",
     "save_fig(\"dbscan_diagram\")\n",
     "plt.show()\n"
@@ -3683,7 +3668,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 205,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3704,7 +3689,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 206,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3713,7 +3698,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 207,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3730,7 +3715,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 208,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3739,7 +3724,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 209,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3748,7 +3733,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 210,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3764,7 +3749,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 211,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3780,7 +3765,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 212,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3796,7 +3781,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 213,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3805,7 +3790,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 214,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3821,7 +3806,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 215,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3831,7 +3816,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 216,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3854,7 +3839,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 217,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3870,7 +3855,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 218,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3893,7 +3878,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 219,
+   "execution_count": 178,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3932,7 +3917,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 220,
+   "execution_count": 155,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4028,7 +4013,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 225,
+   "execution_count": 94,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4039,7 +4024,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 226,
+   "execution_count": 100,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4047,8 +4032,9 @@
     "\n",
     "plot_gaussian_mixture(gm, X)\n",
     "plt.scatter(anomalies[:, 0], anomalies[:, 1], color='r', marker='*')\n",
+    "plt.ylim(ymax=5.1)\n",
     "\n",
-    "save_fig(\"anomaly_detection_diagram\")\n",
+    "save_fig(\"mixture_anomaly_detection_diagram\")\n",
     "plt.show()"
    ]
   },
@@ -4254,7 +4240,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 238,
+   "execution_count": 157,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4263,7 +4249,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 239,
+   "execution_count": 158,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4280,7 +4266,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 240,
+   "execution_count": 159,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4289,7 +4275,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 241,
+   "execution_count": 160,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4300,7 +4286,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 242,
+   "execution_count": 161,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4315,7 +4301,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 243,
+   "execution_count": 162,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4324,7 +4310,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 244,
+   "execution_count": 163,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4333,7 +4319,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 245,
+   "execution_count": 179,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -4351,33 +4337,49 @@
     "plt.show()"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Note: the fact that you see only 3 regions in the right plot although there are 4 centroids is not a bug: the weight of the top-right cluster is much larger than the weight of the lower-right cluster, so the probability that any given point in this region belongs to the top right cluster is greater than the probability that it belongs to the lower-right cluster."
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 246,
+   "execution_count": 167,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "X_moons, y_moons = make_moons(n_samples=1000, noise=0.05, random_state=42)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 168,
    "metadata": {
     "scrolled": true
    },
    "outputs": [],
    "source": [
     "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n",
-    "bgm.fit(X)"
+    "bgm.fit(X_moons)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 247,
+   "execution_count": 169,
    "metadata": {},
    "outputs": [],
    "source": [
     "plt.figure(figsize=(9, 3.2))\n",
     "\n",
     "plt.subplot(121)\n",
-    "plot_data(X)\n",
+    "plot_data(X_moons)\n",
     "plt.xlabel(\"$x_1$\", fontsize=14)\n",
     "plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n",
     "\n",
     "plt.subplot(122)\n",
-    "plot_gaussian_mixture(bgm, X, show_ylabels=False)\n",
+    "plot_gaussian_mixture(bgm, X_moons, show_ylabels=False)\n",
     "\n",
     "save_fig(\"moons_vs_bgm_diagram\")\n",
     "plt.show()"
@@ -5284,7 +5286,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.4"
+   "version": "3.6.5"
   }
  },
  "nbformat": 4,