Week_11.ipynb

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   "source": [
    "# Week 11 handin"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise1:\n",
    "\n",
    "## 1) Load datasetet digits fra sklearn load_digits\n",
    "\n",
    "a) Plot a digit [0] as an image.\n",
    "\n",
    "plt.gray()\n",
    "\n",
    "plt.matshow(digits.images[0])\n",
    "\n",
    "\n",
    "## 2) Do dimensionality reduction with NCA neighbourhood components analysis and standard scalar.\n",
    "\n",
    "a) Hint, use the following link\n",
    "\n",
    "https://scikit-learn.org/stable/auto_examples/neighbors/plot_nca_dim_reduction.html#sphx-glr-auto-examples-neighbors-plot-nca-dim-reduction-py\n",
    "\n",
    "b) Make the model\n",
    "\n",
    "c) Train the model\n",
    "\n",
    "d) Check accuracy of the data dimensionality reduction, using KNN\n",
    "\n",
    "e) Show the scatterplot\n",
    "\n",
    "\n",
    "## 3) Use MeanShift with Bandwith=80 and fit it with the reduced dimensionality data from exercise 2.\n",
    "\n",
    "a) Use numpy to print all the unique cluster labels_\n",
    "\n",
    "a.1) Note that we have the same amount of labels, as we did clusters in different collors from the previous task\n",
    "\n",
    "b) Scatter plot meanshift output, including the cluster centers\n",
    "\n",
    "Made by:\n",
    "Lucky drawing"
   ]
  },
  {
   "source": [
    "## 02 Status\n",
    "\n",
    "Completed All Tasks in excercise 1"
   ],
   "cell_type": "markdown",
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  },
  {
   "cell_type": "markdown",
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   "source": [
    "## Solutions\n"
   ]
  },
  {
   "source": [
    "## Exercise 1\n",
    "\n",
    "### Task 1\n",
    "\n",
    "Load datasetet digits fra sklearn load_digits\n",
    "\n",
    "a) Plot a digit [0] as an image.\n",
    "\n",
    "plt.gray()\n",
    "\n",
    "plt.matshow(digits.images[0])"
   ],
   "cell_type": "markdown",
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  },
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   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
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      "<class 'numpy.ndarray'>\n(1797, 64)\n"
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "import matplotlib.pyplot as plt \n",
    "\n",
    "digits = load_digits()\n",
    "print(type(digits.data))\n",
    "print(digits.data.shape)\n",
    "\n",
    "plt.gray()\n",
    "plt.figure(figsize=(10,10))\n",
    "plt.matshow(digits.images[0])"
   ]
  },
  {
   "source": [
    "### Task 2\n",
    "\n",
    "Do dimensionality reduction with NCA neighbourhood components analysis and standard scalar.\n",
    "\n",
    "a) Hint, use the following link\n",
    "\n",
    "b) Make the model\n",
    "\n",
    "c) Train the model\n",
    "\n",
    "d) Check accuracy of the data dimensionality reduction, using KNN\n",
    "\n",
    "e) Show the scatterplot"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "0.8422222222222222\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fc662e08990>"
      ]
     },
     "metadata": {},
     "execution_count": 30
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import sklearn as skl\n",
    "import sklearn.pipeline as sklp\n",
    "\n",
    "data1, data2 = load_digits(return_X_y=True)\n",
    "\n",
    "sklmodel = sklp.make_pipeline(skl.preprocessing.StandardScaler(), skl.neighbors.NeighborhoodComponentsAnalysis(n_components=2, random_state=0))\n",
    "\n",
    "sklmodel.fit(data1, data2)\n",
    "\n",
    "data_embedded = sklmodel.transform(data1)\n",
    "\n",
    "X_train, X_test, y_train, y_test = skl.model_selection.train_test_split(\n",
    "    data1, data2, random_state=1)\n",
    "\n",
    "neighbors = skl.neighbors.KNeighborsClassifier(n_neighbors=5)\n",
    "\n",
    "neighbors.fit(sklmodel.transform(X_train), y_train)\n",
    "\n",
    "print(neighbors.score(sklmodel.transform(X_test), y_test))\n",
    "\n",
    "plt.scatter(data_embedded[:,0], data_embedded[:, 1], c=data2, cmap='Set1')\n",
    "\n",
    "\n"
   ]
  },
  {
   "source": [
    "### Task 3\n",
    "\n",
    "Use MeanShift with Bandwith=80 and fit it with the reduced dimensionality data from exercise 2.\n",
    "\n",
    "Use numpy to print all the unique cluster labels_\n",
    "\n",
    "Note that we have the same amount of labels, as we did clusters in different colors from the previous task\n",
    "\n",
    "Scatter plot meanshift output, including the cluster centers"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "[0 1 2 3 4 5 6 7 8]\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "meandata = skl.cluster.MeanShift(bandwidth=80)\n",
    "meandata.fit(data_embedded)\n",
    "\n",
    "packs = meandata.labels_\n",
    "print(np.unique(packs))\n",
    "\n",
    "color = [\"green\",\"red\", \"orange\", \"pink\", \"cyan\", \"blue\", \"yellow\", \"purple\"]\n",
    "for value, color in zip(packs, color):\n",
    "    pic = packs == value\n",
    "    centerpoint = meandata.cluster_centers_[value]\n",
    "    plt.scatter(data_embedded[pic, 0], data_embedded[pic, 1], c=color)\n",
    "    plt.plot(centerpoint[0], centerpoint[1], 'x', markerfacecolor=color,\n",
    "             markeredgecolor='k', markersize=14)\n",
    "plt.title('Estimated number of clusters: %d' % len(meandata.cluster_centers_))\n",
    "plt.show()"
   ]
  },
  {
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