diff --git a/05_ML/code/ml_basics_2.ipynb b/05_ML/code/ml_basics_2.ipynb
index c4f4dec..8347ec1 100644
--- a/05_ML/code/ml_basics_2.ipynb
+++ b/05_ML/code/ml_basics_2.ipynb
@@ -243,7 +243,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -263,28 +263,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 4,
    "metadata": {},
-   "outputs": [
-    {
-     "ename": "NameError",
-     "evalue": "name 'load_iris' is not defined",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
-      "Cell \u001b[0;32mIn[1], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m X, y \u001b[38;5;241m=\u001b[39m \u001b[43mload_iris\u001b[49m(return_X_y\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m, as_frame\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m) \u001b[38;5;66;03m# Wir verwenden as_frame = False (=Default), damit wir nur die Daten bekommen (als Array)\u001b[39;00m\n",
-      "\u001b[0;31mNameError\u001b[0m: name 'load_iris' is not defined"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "X, y = load_iris(return_X_y=True, as_frame=False) # Wir verwenden as_frame = False (=Default), damit wir nur die Daten bekommen (als Array)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -442,7 +430,7 @@
        "       [5.9, 3. , 5.1, 1.8]])"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -453,7 +441,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -462,7 +450,7 @@
        "(150, 4)"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -473,7 +461,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
     {
@@ -488,7 +476,7 @@
        "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 7,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -499,7 +487,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [
     {
@@ -508,7 +496,7 @@
        "(150,)"
       ]
      },
-     "execution_count": 6,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -519,7 +507,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -529,7 +517,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [
     {
@@ -657,7 +645,7 @@
        "       [7.1, 3. , 5.9, 2.1]])"
       ]
      },
-     "execution_count": 8,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -668,7 +656,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
@@ -677,7 +665,7 @@
        "(120, 4)"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -688,7 +676,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
     {
@@ -697,7 +685,7 @@
        "(30, 4)"
       ]
      },
-     "execution_count": 10,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -708,7 +696,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
@@ -717,7 +705,7 @@
        "(120,)"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -968,7 +956,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -988,7 +976,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -997,7 +985,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1007,7 +995,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
@@ -1028,7 +1016,7 @@
        "        5.600e+02]])"
       ]
      },
-     "execution_count": 15,
+     "execution_count": 17,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1039,7 +1027,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [
     {
@@ -1048,7 +1036,7 @@
        "(178, 13)"
       ]
      },
-     "execution_count": 16,
+     "execution_count": 18,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1059,7 +1047,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
@@ -1076,7 +1064,7 @@
        "       2, 2])"
       ]
      },
-     "execution_count": 17,
+     "execution_count": 19,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1087,7 +1075,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [
     {
@@ -1096,7 +1084,7 @@
        "(178,)"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 20,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1107,7 +1095,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1116,7 +1104,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1128,7 +1116,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1139,7 +1127,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [
     {
@@ -1149,7 +1137,7 @@
        "       2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0])"
       ]
      },
-     "execution_count": 22,
+     "execution_count": 24,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1160,7 +1148,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
@@ -1170,7 +1158,7 @@
        "       1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0])"
       ]
      },
-     "execution_count": 23,
+     "execution_count": 25,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1181,7 +1169,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1192,7 +1180,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [
     {
@@ -1209,7 +1197,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [
     {
@@ -1236,7 +1224,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [
     {
@@ -1245,7 +1233,7 @@
        "<Axes: >"
       ]
      },
-     "execution_count": 27,
+     "execution_count": 29,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -1294,7 +1282,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
@@ -1303,7 +1291,7 @@
        "<Axes: >"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 30,
      "metadata": {},
      "output_type": "execute_result"
     },
diff --git a/05_ML/code/supervised_1_regresssion.ipynb b/05_ML/code/supervised_1_regresssion.ipynb
index 42c5e9e..9a7d2e3 100644
--- a/05_ML/code/supervised_1_regresssion.ipynb
+++ b/05_ML/code/supervised_1_regresssion.ipynb
@@ -5150,7 +5150,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.18"
+   "version": "3.9.20"
   }
  },
  "nbformat": 4,
diff --git a/05_ML/code/supervised_2_knn.ipynb b/05_ML/code/supervised_2_knn.ipynb
index aa08a6d..4a0d07f 100644
--- a/05_ML/code/supervised_2_knn.ipynb
+++ b/05_ML/code/supervised_2_knn.ipynb
@@ -1467,7 +1467,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.18"
+   "version": "3.9.20"
   }
  },
  "nbformat": 4,
diff --git a/05_ML/code/supervised_3_svm.ipynb b/05_ML/code/supervised_3_svm.ipynb
index 09b221b..3e4d3bf 100644
--- a/05_ML/code/supervised_3_svm.ipynb
+++ b/05_ML/code/supervised_3_svm.ipynb
@@ -1485,7 +1485,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.18"
+   "version": "3.9.20"
   }
  },
  "nbformat": 4,
diff --git a/05_ML/code/unsupervised_2_downprojection.ipynb b/05_ML/code/unsupervised_2_downprojection.ipynb
index f486b91..1ff5fcf 100644
--- a/05_ML/code/unsupervised_2_downprojection.ipynb
+++ b/05_ML/code/unsupervised_2_downprojection.ipynb
@@ -197,7 +197,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -212,7 +212,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -223,7 +223,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -381,7 +381,7 @@
        "       [5.9, 3. , 5.1, 1.8]])"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -392,7 +392,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -407,7 +407,7 @@
        "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -418,7 +418,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -427,7 +427,326 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[-9.00681170e-01,  1.01900435e+00, -1.34022653e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.14301691e+00, -1.31979479e-01, -1.34022653e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.38535265e+00,  3.28414053e-01, -1.39706395e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.50652052e+00,  9.82172869e-02, -1.28338910e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.02184904e+00,  1.24920112e+00, -1.34022653e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-5.37177559e-01,  1.93979142e+00, -1.16971425e+00,\n",
+       "        -1.05217993e+00],\n",
+       "       [-1.50652052e+00,  7.88807586e-01, -1.34022653e+00,\n",
+       "        -1.18381211e+00],\n",
+       "       [-1.02184904e+00,  7.88807586e-01, -1.28338910e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.74885626e+00, -3.62176246e-01, -1.34022653e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.14301691e+00,  9.82172869e-02, -1.28338910e+00,\n",
+       "        -1.44707648e+00],\n",
+       "       [-5.37177559e-01,  1.47939788e+00, -1.28338910e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.26418478e+00,  7.88807586e-01, -1.22655167e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.26418478e+00, -1.31979479e-01, -1.34022653e+00,\n",
+       "        -1.44707648e+00],\n",
+       "       [-1.87002413e+00, -1.31979479e-01, -1.51073881e+00,\n",
+       "        -1.44707648e+00],\n",
+       "       [-5.25060772e-02,  2.16998818e+00, -1.45390138e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.73673948e-01,  3.09077525e+00, -1.28338910e+00,\n",
+       "        -1.05217993e+00],\n",
+       "       [-5.37177559e-01,  1.93979142e+00, -1.39706395e+00,\n",
+       "        -1.05217993e+00],\n",
+       "       [-9.00681170e-01,  1.01900435e+00, -1.34022653e+00,\n",
+       "        -1.18381211e+00],\n",
+       "       [-1.73673948e-01,  1.70959465e+00, -1.16971425e+00,\n",
+       "        -1.18381211e+00],\n",
+       "       [-9.00681170e-01,  1.70959465e+00, -1.28338910e+00,\n",
+       "        -1.18381211e+00],\n",
+       "       [-5.37177559e-01,  7.88807586e-01, -1.16971425e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-9.00681170e-01,  1.47939788e+00, -1.28338910e+00,\n",
+       "        -1.05217993e+00],\n",
+       "       [-1.50652052e+00,  1.24920112e+00, -1.56757623e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-9.00681170e-01,  5.58610819e-01, -1.16971425e+00,\n",
+       "        -9.20547742e-01],\n",
+       "       [-1.26418478e+00,  7.88807586e-01, -1.05603939e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.02184904e+00, -1.31979479e-01, -1.22655167e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.02184904e+00,  7.88807586e-01, -1.22655167e+00,\n",
+       "        -1.05217993e+00],\n",
+       "       [-7.79513300e-01,  1.01900435e+00, -1.28338910e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-7.79513300e-01,  7.88807586e-01, -1.34022653e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.38535265e+00,  3.28414053e-01, -1.22655167e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.26418478e+00,  9.82172869e-02, -1.22655167e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-5.37177559e-01,  7.88807586e-01, -1.28338910e+00,\n",
+       "        -1.05217993e+00],\n",
+       "       [-7.79513300e-01,  2.40018495e+00, -1.28338910e+00,\n",
+       "        -1.44707648e+00],\n",
+       "       [-4.16009689e-01,  2.63038172e+00, -1.34022653e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.14301691e+00,  9.82172869e-02, -1.28338910e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.02184904e+00,  3.28414053e-01, -1.45390138e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-4.16009689e-01,  1.01900435e+00, -1.39706395e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.14301691e+00,  1.24920112e+00, -1.34022653e+00,\n",
+       "        -1.44707648e+00],\n",
+       "       [-1.74885626e+00, -1.31979479e-01, -1.39706395e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-9.00681170e-01,  7.88807586e-01, -1.28338910e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.02184904e+00,  1.01900435e+00, -1.39706395e+00,\n",
+       "        -1.18381211e+00],\n",
+       "       [-1.62768839e+00, -1.74335684e+00, -1.39706395e+00,\n",
+       "        -1.18381211e+00],\n",
+       "       [-1.74885626e+00,  3.28414053e-01, -1.39706395e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.02184904e+00,  1.01900435e+00, -1.22655167e+00,\n",
+       "        -7.88915558e-01],\n",
+       "       [-9.00681170e-01,  1.70959465e+00, -1.05603939e+00,\n",
+       "        -1.05217993e+00],\n",
+       "       [-1.26418478e+00, -1.31979479e-01, -1.34022653e+00,\n",
+       "        -1.18381211e+00],\n",
+       "       [-9.00681170e-01,  1.70959465e+00, -1.22655167e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.50652052e+00,  3.28414053e-01, -1.34022653e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-6.58345429e-01,  1.47939788e+00, -1.28338910e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [-1.02184904e+00,  5.58610819e-01, -1.34022653e+00,\n",
+       "        -1.31544430e+00],\n",
+       "       [ 1.40150837e+00,  3.28414053e-01,  5.35408562e-01,\n",
+       "         2.64141916e-01],\n",
+       "       [ 6.74501145e-01,  3.28414053e-01,  4.21733708e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [ 1.28034050e+00,  9.82172869e-02,  6.49083415e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [-4.16009689e-01, -1.74335684e+00,  1.37546573e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [ 7.95669016e-01, -5.92373012e-01,  4.78571135e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [-1.73673948e-01, -5.92373012e-01,  4.21733708e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [ 5.53333275e-01,  5.58610819e-01,  5.35408562e-01,\n",
+       "         5.27406285e-01],\n",
+       "       [-1.14301691e+00, -1.51316008e+00, -2.60315415e-01,\n",
+       "        -2.62386821e-01],\n",
+       "       [ 9.16836886e-01, -3.62176246e-01,  4.78571135e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [-7.79513300e-01, -8.22569778e-01,  8.07091462e-02,\n",
+       "         2.64141916e-01],\n",
+       "       [-1.02184904e+00, -2.43394714e+00, -1.46640561e-01,\n",
+       "        -2.62386821e-01],\n",
+       "       [ 6.86617933e-02, -1.31979479e-01,  2.51221427e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [ 1.89829664e-01, -1.97355361e+00,  1.37546573e-01,\n",
+       "        -2.62386821e-01],\n",
+       "       [ 3.10997534e-01, -3.62176246e-01,  5.35408562e-01,\n",
+       "         2.64141916e-01],\n",
+       "       [-2.94841818e-01, -3.62176246e-01, -8.98031345e-02,\n",
+       "         1.32509732e-01],\n",
+       "       [ 1.03800476e+00,  9.82172869e-02,  3.64896281e-01,\n",
+       "         2.64141916e-01],\n",
+       "       [-2.94841818e-01, -1.31979479e-01,  4.21733708e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [-5.25060772e-02, -8.22569778e-01,  1.94384000e-01,\n",
+       "        -2.62386821e-01],\n",
+       "       [ 4.32165405e-01, -1.97355361e+00,  4.21733708e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [-2.94841818e-01, -1.28296331e+00,  8.07091462e-02,\n",
+       "        -1.30754636e-01],\n",
+       "       [ 6.86617933e-02,  3.28414053e-01,  5.92245988e-01,\n",
+       "         7.90670654e-01],\n",
+       "       [ 3.10997534e-01, -5.92373012e-01,  1.37546573e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [ 5.53333275e-01, -1.28296331e+00,  6.49083415e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [ 3.10997534e-01, -5.92373012e-01,  5.35408562e-01,\n",
+       "         8.77547895e-04],\n",
+       "       [ 6.74501145e-01, -3.62176246e-01,  3.08058854e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [ 9.16836886e-01, -1.31979479e-01,  3.64896281e-01,\n",
+       "         2.64141916e-01],\n",
+       "       [ 1.15917263e+00, -5.92373012e-01,  5.92245988e-01,\n",
+       "         2.64141916e-01],\n",
+       "       [ 1.03800476e+00, -1.31979479e-01,  7.05920842e-01,\n",
+       "         6.59038469e-01],\n",
+       "       [ 1.89829664e-01, -3.62176246e-01,  4.21733708e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [-1.73673948e-01, -1.05276654e+00, -1.46640561e-01,\n",
+       "        -2.62386821e-01],\n",
+       "       [-4.16009689e-01, -1.51316008e+00,  2.38717193e-02,\n",
+       "        -1.30754636e-01],\n",
+       "       [-4.16009689e-01, -1.51316008e+00, -3.29657076e-02,\n",
+       "        -2.62386821e-01],\n",
+       "       [-5.25060772e-02, -8.22569778e-01,  8.07091462e-02,\n",
+       "         8.77547895e-04],\n",
+       "       [ 1.89829664e-01, -8.22569778e-01,  7.62758269e-01,\n",
+       "         5.27406285e-01],\n",
+       "       [-5.37177559e-01, -1.31979479e-01,  4.21733708e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [ 1.89829664e-01,  7.88807586e-01,  4.21733708e-01,\n",
+       "         5.27406285e-01],\n",
+       "       [ 1.03800476e+00,  9.82172869e-02,  5.35408562e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [ 5.53333275e-01, -1.74335684e+00,  3.64896281e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [-2.94841818e-01, -1.31979479e-01,  1.94384000e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [-4.16009689e-01, -1.28296331e+00,  1.37546573e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [-4.16009689e-01, -1.05276654e+00,  3.64896281e-01,\n",
+       "         8.77547895e-04],\n",
+       "       [ 3.10997534e-01, -1.31979479e-01,  4.78571135e-01,\n",
+       "         2.64141916e-01],\n",
+       "       [-5.25060772e-02, -1.05276654e+00,  1.37546573e-01,\n",
+       "         8.77547895e-04],\n",
+       "       [-1.02184904e+00, -1.74335684e+00, -2.60315415e-01,\n",
+       "        -2.62386821e-01],\n",
+       "       [-2.94841818e-01, -8.22569778e-01,  2.51221427e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [-1.73673948e-01, -1.31979479e-01,  2.51221427e-01,\n",
+       "         8.77547895e-04],\n",
+       "       [-1.73673948e-01, -3.62176246e-01,  2.51221427e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [ 4.32165405e-01, -3.62176246e-01,  3.08058854e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [-9.00681170e-01, -1.28296331e+00, -4.30827696e-01,\n",
+       "        -1.30754636e-01],\n",
+       "       [-1.73673948e-01, -5.92373012e-01,  1.94384000e-01,\n",
+       "         1.32509732e-01],\n",
+       "       [ 5.53333275e-01,  5.58610819e-01,  1.27429511e+00,\n",
+       "         1.71209594e+00],\n",
+       "       [-5.25060772e-02, -8.22569778e-01,  7.62758269e-01,\n",
+       "         9.22302838e-01],\n",
+       "       [ 1.52267624e+00, -1.31979479e-01,  1.21745768e+00,\n",
+       "         1.18556721e+00],\n",
+       "       [ 5.53333275e-01, -3.62176246e-01,  1.04694540e+00,\n",
+       "         7.90670654e-01],\n",
+       "       [ 7.95669016e-01, -1.31979479e-01,  1.16062026e+00,\n",
+       "         1.31719939e+00],\n",
+       "       [ 2.12851559e+00, -1.31979479e-01,  1.61531967e+00,\n",
+       "         1.18556721e+00],\n",
+       "       [-1.14301691e+00, -1.28296331e+00,  4.21733708e-01,\n",
+       "         6.59038469e-01],\n",
+       "       [ 1.76501198e+00, -3.62176246e-01,  1.44480739e+00,\n",
+       "         7.90670654e-01],\n",
+       "       [ 1.03800476e+00, -1.28296331e+00,  1.16062026e+00,\n",
+       "         7.90670654e-01],\n",
+       "       [ 1.64384411e+00,  1.24920112e+00,  1.33113254e+00,\n",
+       "         1.71209594e+00],\n",
+       "       [ 7.95669016e-01,  3.28414053e-01,  7.62758269e-01,\n",
+       "         1.05393502e+00],\n",
+       "       [ 6.74501145e-01, -8.22569778e-01,  8.76433123e-01,\n",
+       "         9.22302838e-01],\n",
+       "       [ 1.15917263e+00, -1.31979479e-01,  9.90107977e-01,\n",
+       "         1.18556721e+00],\n",
+       "       [-1.73673948e-01, -1.28296331e+00,  7.05920842e-01,\n",
+       "         1.05393502e+00],\n",
+       "       [-5.25060772e-02, -5.92373012e-01,  7.62758269e-01,\n",
+       "         1.58046376e+00],\n",
+       "       [ 6.74501145e-01,  3.28414053e-01,  8.76433123e-01,\n",
+       "         1.44883158e+00],\n",
+       "       [ 7.95669016e-01, -1.31979479e-01,  9.90107977e-01,\n",
+       "         7.90670654e-01],\n",
+       "       [ 2.24968346e+00,  1.70959465e+00,  1.67215710e+00,\n",
+       "         1.31719939e+00],\n",
+       "       [ 2.24968346e+00, -1.05276654e+00,  1.78583195e+00,\n",
+       "         1.44883158e+00],\n",
+       "       [ 1.89829664e-01, -1.97355361e+00,  7.05920842e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [ 1.28034050e+00,  3.28414053e-01,  1.10378283e+00,\n",
+       "         1.44883158e+00],\n",
+       "       [-2.94841818e-01, -5.92373012e-01,  6.49083415e-01,\n",
+       "         1.05393502e+00],\n",
+       "       [ 2.24968346e+00, -5.92373012e-01,  1.67215710e+00,\n",
+       "         1.05393502e+00],\n",
+       "       [ 5.53333275e-01, -8.22569778e-01,  6.49083415e-01,\n",
+       "         7.90670654e-01],\n",
+       "       [ 1.03800476e+00,  5.58610819e-01,  1.10378283e+00,\n",
+       "         1.18556721e+00],\n",
+       "       [ 1.64384411e+00,  3.28414053e-01,  1.27429511e+00,\n",
+       "         7.90670654e-01],\n",
+       "       [ 4.32165405e-01, -5.92373012e-01,  5.92245988e-01,\n",
+       "         7.90670654e-01],\n",
+       "       [ 3.10997534e-01, -1.31979479e-01,  6.49083415e-01,\n",
+       "         7.90670654e-01],\n",
+       "       [ 6.74501145e-01, -5.92373012e-01,  1.04694540e+00,\n",
+       "         1.18556721e+00],\n",
+       "       [ 1.64384411e+00, -1.31979479e-01,  1.16062026e+00,\n",
+       "         5.27406285e-01],\n",
+       "       [ 1.88617985e+00, -5.92373012e-01,  1.33113254e+00,\n",
+       "         9.22302838e-01],\n",
+       "       [ 2.49201920e+00,  1.70959465e+00,  1.50164482e+00,\n",
+       "         1.05393502e+00],\n",
+       "       [ 6.74501145e-01, -5.92373012e-01,  1.04694540e+00,\n",
+       "         1.31719939e+00],\n",
+       "       [ 5.53333275e-01, -5.92373012e-01,  7.62758269e-01,\n",
+       "         3.95774101e-01],\n",
+       "       [ 3.10997534e-01, -1.05276654e+00,  1.04694540e+00,\n",
+       "         2.64141916e-01],\n",
+       "       [ 2.24968346e+00, -1.31979479e-01,  1.33113254e+00,\n",
+       "         1.44883158e+00],\n",
+       "       [ 5.53333275e-01,  7.88807586e-01,  1.04694540e+00,\n",
+       "         1.58046376e+00],\n",
+       "       [ 6.74501145e-01,  9.82172869e-02,  9.90107977e-01,\n",
+       "         7.90670654e-01],\n",
+       "       [ 1.89829664e-01, -1.31979479e-01,  5.92245988e-01,\n",
+       "         7.90670654e-01],\n",
+       "       [ 1.28034050e+00,  9.82172869e-02,  9.33270550e-01,\n",
+       "         1.18556721e+00],\n",
+       "       [ 1.03800476e+00,  9.82172869e-02,  1.04694540e+00,\n",
+       "         1.58046376e+00],\n",
+       "       [ 1.28034050e+00,  9.82172869e-02,  7.62758269e-01,\n",
+       "         1.44883158e+00],\n",
+       "       [-5.25060772e-02, -8.22569778e-01,  7.62758269e-01,\n",
+       "         9.22302838e-01],\n",
+       "       [ 1.15917263e+00,  3.28414053e-01,  1.21745768e+00,\n",
+       "         1.44883158e+00],\n",
+       "       [ 1.03800476e+00,  5.58610819e-01,  1.10378283e+00,\n",
+       "         1.71209594e+00],\n",
+       "       [ 1.03800476e+00, -1.31979479e-01,  8.19595696e-01,\n",
+       "         1.44883158e+00],\n",
+       "       [ 5.53333275e-01, -1.28296331e+00,  7.05920842e-01,\n",
+       "         9.22302838e-01],\n",
+       "       [ 7.95669016e-01, -1.31979479e-01,  8.19595696e-01,\n",
+       "         1.05393502e+00],\n",
+       "       [ 4.32165405e-01,  7.88807586e-01,  9.33270550e-01,\n",
+       "         1.44883158e+00],\n",
+       "       [ 6.86617933e-02, -1.31979479e-01,  7.62758269e-01,\n",
+       "         7.90670654e-01]])"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "X"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
    "metadata": {},
    "outputs": [
     {
@@ -454,7 +773,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -465,7 +784,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -475,7 +794,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
@@ -518,7 +837,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -529,7 +848,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
@@ -538,7 +857,7 @@
        "array([[ 0.11091608, -0.68462682]])"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -651,7 +970,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -666,7 +985,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -677,7 +996,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
@@ -835,7 +1154,7 @@
        "       [5.9, 3. , 5.1, 1.8]])"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -846,7 +1165,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
@@ -861,7 +1180,7 @@
        "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
       ]
      },
-     "execution_count": 15,
+     "execution_count": 17,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -872,7 +1191,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -881,7 +1200,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
@@ -908,18 +1227,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [],
    "source": [
     "# Anwenden von t-SNE\n",
-    "tsne = TSNE(n_components=2, random_state=42, perplexity=100) # Standard Wert für Perplexity ist 30\n",
+    "tsne = TSNE(n_components=2, random_state=42, perplexity=25) # Standard Wert für Perplexity ist 30\n",
     "X_tsne = tsne.fit_transform(X)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -929,12 +1248,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 800x600 with 1 Axes>"
       ]
@@ -1049,6 +1368,144 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/tmp/ipykernel_11706/3980436391.py:17: UserWarning: Ignoring `palette` because no `hue` variable has been assigned.\n",
+      "  sns.scatterplot(x='PC1', y='PC2', palette='viridis', data=df_pca)\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 800x600 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "from sklearn.datasets import load_iris, load_wine\n",
+    "from sklearn.cluster import AffinityPropagation\n",
+    "from sklearn.preprocessing import StandardScaler\n",
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "ds = pd.read_csv(\"../../_data/country.csv\") # ggf. etwas anders als unser bisheriges Dataset\n",
+    "ds = ds.dropna()\n",
+    "X = ds.select_dtypes(include=[np.number])\n",
+    "\n",
+    "X = StandardScaler().fit_transform(X)\n",
+    "pca = PCA(n_components=2)\n",
+    "X_pca = pca.fit_transform(X)\n",
+    "df_pca = pd.DataFrame(X_pca, columns=['PC1', 'PC2'])\n",
+    "\n",
+    "plt.figure(figsize=(8, 6))\n",
+    "sns.scatterplot(x='PC1', y='PC2', data=df_pca)\n",
+    "plt.title(f'PCA Visualization of the Dataset')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 52,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 800x600 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Anwenden von t-SNE\n",
+    "tsne = TSNE(n_components=2, random_state=42, perplexity=40) # Standard Wert für Perplexity ist 30\n",
+    "X_tsne = tsne.fit_transform(X)\n",
+    "df_tsne = pd.DataFrame(X_tsne, columns=['TSNE1', 'TSNE2'])\n",
+    "plt.figure(figsize=(8, 6))\n",
+    "sns.scatterplot(x='TSNE1', y='TSNE2', data=df_tsne)\n",
+    "plt.title(f't-SNE Visualization of the Dataset')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 53,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 800x600 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "from sklearn.datasets import load_iris, load_wine\n",
+    "from sklearn.cluster import AffinityPropagation\n",
+    "from sklearn.preprocessing import StandardScaler\n",
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "ds = pd.read_csv(\"../../_data/happiness_2017.csv\") # ggf. etwas anders als unser bisheriges Dataset\n",
+    "ds = ds.dropna()\n",
+    "X = ds.select_dtypes(include=[np.number])\n",
+    "\n",
+    "X = StandardScaler().fit_transform(X)\n",
+    "pca = PCA(n_components=2)\n",
+    "X_pca = pca.fit_transform(X)\n",
+    "df_pca = pd.DataFrame(X_pca, columns=['PC1', 'PC2'])\n",
+    "\n",
+    "plt.figure(figsize=(8, 6))\n",
+    "sns.scatterplot(x='PC1', y='PC2', data=df_pca)\n",
+    "plt.title(f'PCA Visualization of the Dataset')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 62,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 800x600 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Anwenden von t-SNE\n",
+    "tsne = TSNE(n_components=2, random_state=42, perplexity=10) # Standard Wert für Perplexity ist 30\n",
+    "X_tsne = tsne.fit_transform(X)\n",
+    "df_tsne = pd.DataFrame(X_tsne, columns=['TSNE1', 'TSNE2'])\n",
+    "plt.figure(figsize=(8, 6))\n",
+    "sns.scatterplot(x='TSNE1', y='TSNE2', data=df_tsne)\n",
+    "plt.title(f't-SNE Visualization of the Dataset')\n",
+    "plt.show()"
+   ]
   }
  ],
  "metadata": {
@@ -1067,7 +1524,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.18"
+   "version": "3.9.20"
   }
  },
  "nbformat": 4,