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nuc_machine_learning/Session 8/tutorial 8.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# Activity sheet 8\n# Clustering - K-Means\n\n**Objective**\n\nThe aim of this activity sheet is to load a customer segmentation dataset and apply K- Means clustering on it."
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Sources used to learn clustering are [this article from real python](https://realpython.com/k-means-clustering-python/), Zeljkas notebook, and [this post](https://nikkimarinsek.com/blog/7-ways-to-label-a-cluster-plot-python)."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import pandas as pd\nimport pandas as pd\nimport numpy as np\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nfrom sklearn.preprocessing import StandardScaler, Normalizer\nfrom sklearn.metrics import silhouette_score\nfrom sklearn.cluster import KMeans\nfrom sklearn.decomposition import PCA\nfrom kneed import KneeLocator",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def unpack_list(lst): # Oxford comma\n if not isinstance(lst, str):\n lst = [str(item) for item in lst]\n if len(lst) == 0:\n return\n if len(lst) == 1:\n return \", \".join(lst)\n if len(lst) == 2:\n return \", and \".join(lst) \n else:\n first_part = lst[:-1]\n last_part = lst[-1]\n return \", \".join(first_part) + \", and \" + last_part",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def word_search(df, *words):\n words = [word for word in words]\n sum_words: int = 0\n found_words: str = []\n list_of_words: list = []\n\n if not words:\n return\n\n for word in words:\n col_count = 0\n sum_word = 0\n for column in df:\n if df[column].dtype == object or df[column].dtype == str:\n col_count += 1\n sum_word += df[column].str.contains(f\"^{word}$\").sum()\n if df[column].str.contains(f\"^{word}$\").any():\n if word not in found_words:\n found_words.append(word)\n sum_words += sum_word\n if len(found_words) == 0:\n found_words = words\n print(\"Columns of dtype str or object:\", col_count)\n print(f\"Instances of {unpack_list(found_words)} in the dataframe: {sum_words}\")",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def find_missing_values(df):\n column_names = (df.columns[df.isnull().any() == True]).format()\n miss_columns = df.isna().any().sum()\n miss_values = df.isna().sum().sum()\n print(f\"Columns with missing data: {miss_columns}\")\n print(f\"Instances of missing data: {miss_values}\")\n print(f\"Column names with missing data: {unpack_list(column_names)}\")",
"execution_count": 4,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## TASK 1 (Data pre-processing)\n\nLoad customer segmentation data from the csv file. Select the feature set for the modelling. You do not necessarily need all the given variables. Perform the data preprocessing steps such as normalisation."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df = pd.read_csv(\"dataset8.csv\")",
"execution_count": 5,
"outputs": []
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "df.head(10)",
"execution_count": 6,
"outputs": [
{
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Customer Id</th>\n <th>Age</th>\n <th>Edu</th>\n <th>Years Employed</th>\n <th>Income</th>\n <th>Card Debt</th>\n <th>Other Debt</th>\n <th>Defaulted</th>\n <th>DebtIncomeRatio</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>1</td>\n <td>41</td>\n <td>2</td>\n <td>6</td>\n <td>19</td>\n <td>0.124</td>\n <td>1.073</td>\n <td>0.0</td>\n <td>6.3</td>\n </tr>\n <tr>\n <th>1</th>\n <td>2</td>\n <td>47</td>\n <td>1</td>\n <td>26</td>\n <td>100</td>\n <td>4.582</td>\n <td>8.218</td>\n <td>0.0</td>\n <td>12.8</td>\n </tr>\n <tr>\n <th>2</th>\n <td>3</td>\n <td>33</td>\n <td>2</td>\n <td>10</td>\n <td>57</td>\n <td>6.111</td>\n <td>5.802</td>\n <td>1.0</td>\n <td>20.9</td>\n </tr>\n <tr>\n <th>3</th>\n <td>4</td>\n <td>29</td>\n <td>2</td>\n <td>4</td>\n <td>19</td>\n <td>0.681</td>\n <td>0.516</td>\n <td>0.0</td>\n <td>6.3</td>\n </tr>\n <tr>\n <th>4</th>\n <td>5</td>\n <td>47</td>\n <td>1</td>\n <td>31</td>\n <td>253</td>\n <td>9.308</td>\n <td>8.908</td>\n <td>0.0</td>\n <td>7.2</td>\n </tr>\n <tr>\n <th>5</th>\n <td>6</td>\n <td>40</td>\n <td>1</td>\n <td>23</td>\n <td>81</td>\n <td>0.998</td>\n <td>7.831</td>\n <td>NaN</td>\n <td>10.9</td>\n </tr>\n <tr>\n <th>6</th>\n <td>7</td>\n <td>38</td>\n <td>2</td>\n <td>4</td>\n <td>56</td>\n <td>0.442</td>\n <td>0.454</td>\n <td>0.0</td>\n <td>1.6</td>\n </tr>\n <tr>\n <th>7</th>\n <td>8</td>\n <td>42</td>\n <td>3</td>\n <td>0</td>\n <td>64</td>\n <td>0.279</td>\n <td>3.945</td>\n <td>0.0</td>\n <td>6.6</td>\n </tr>\n <tr>\n <th>8</th>\n <td>9</td>\n <td>26</td>\n <td>1</td>\n <td>5</td>\n <td>18</td>\n <td>0.575</td>\n <td>2.215</td>\n <td>NaN</td>\n <td>15.5</td>\n </tr>\n <tr>\n <th>9</th>\n <td>10</td>\n <td>47</td>\n <td>3</td>\n <td>23</td>\n <td>115</td>\n <td>0.653</td>\n <td>3.947</td>\n <td>0.0</td>\n <td>4.0</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " Customer Id Age Edu Years Employed Income Card Debt Other Debt \\\n0 1 41 2 6 19 0.124 1.073 \n1 2 47 1 26 100 4.582 8.218 \n2 3 33 2 10 57 6.111 5.802 \n3 4 29 2 4 19 0.681 0.516 \n4 5 47 1 31 253 9.308 8.908 \n5 6 40 1 23 81 0.998 7.831 \n6 7 38 2 4 56 0.442 0.454 \n7 8 42 3 0 64 0.279 3.945 \n8 9 26 1 5 18 0.575 2.215 \n9 10 47 3 23 115 0.653 3.947 \n\n Defaulted DebtIncomeRatio \n0 0.0 6.3 \n1 0.0 12.8 \n2 1.0 20.9 \n3 0.0 6.3 \n4 0.0 7.2 \n5 NaN 10.9 \n6 0.0 1.6 \n7 0.0 6.6 \n8 NaN 15.5 \n9 0.0 4.0 "
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df.info()",
"execution_count": 7,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 850 entries, 0 to 849\nData columns (total 9 columns):\n # Column Non-Null Count Dtype \n--- ------ -------------- ----- \n 0 Customer Id 850 non-null int64 \n 1 Age 850 non-null int64 \n 2 Edu 850 non-null int64 \n 3 Years Employed 850 non-null int64 \n 4 Income 850 non-null int64 \n 5 Card Debt 850 non-null float64\n 6 Other Debt 850 non-null float64\n 7 Defaulted 700 non-null float64\n 8 DebtIncomeRatio 850 non-null float64\ndtypes: float64(4), int64(5)\nmemory usage: 59.9 KB\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "find_missing_values(df)",
"execution_count": 8,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Columns with missing data: 1\nInstances of missing data: 150\nColumn names with missing data: Defaulted\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "word_search(df, \"None\", \"none\", \"0\", 0)",
"execution_count": 9,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Columns of dtype str or object: 0\nInstances of None, none, 0, and 0 in the dataframe: 0\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df = df.dropna()",
"execution_count": 10,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df.info()",
"execution_count": 11,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "<class 'pandas.core.frame.DataFrame'>\nInt64Index: 700 entries, 0 to 849\nData columns (total 9 columns):\n # Column Non-Null Count Dtype \n--- ------ -------------- ----- \n 0 Customer Id 700 non-null int64 \n 1 Age 700 non-null int64 \n 2 Edu 700 non-null int64 \n 3 Years Employed 700 non-null int64 \n 4 Income 700 non-null int64 \n 5 Card Debt 700 non-null float64\n 6 Other Debt 700 non-null float64\n 7 Defaulted 700 non-null float64\n 8 DebtIncomeRatio 700 non-null float64\ndtypes: float64(4), int64(5)\nmemory usage: 54.7 KB\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "find_missing_values(df)",
"execution_count": 12,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Columns with missing data: 0\nInstances of missing data: 0\nColumn names with missing data: None\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df.nunique()",
"execution_count": 13,
"outputs": [
{
"data": {
"text/plain": "Customer Id 700\nAge 37\nEdu 5\nYears Employed 32\nIncome 114\nCard Debt 608\nOther Debt 659\nDefaulted 2\nDebtIncomeRatio 231\ndtype: int64"
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df = df.drop([\"Customer Id\"], axis=1)\n# Alternative from Zeljka\n# df = df.drop(columns=['Customer Id'])",
"execution_count": 14,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df.head()",
"execution_count": 15,
"outputs": [
{
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Age</th>\n <th>Edu</th>\n <th>Years Employed</th>\n <th>Income</th>\n <th>Card Debt</th>\n <th>Other Debt</th>\n <th>Defaulted</th>\n <th>DebtIncomeRatio</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>41</td>\n <td>2</td>\n <td>6</td>\n <td>19</td>\n <td>0.124</td>\n <td>1.073</td>\n <td>0.0</td>\n <td>6.3</td>\n </tr>\n <tr>\n <th>1</th>\n <td>47</td>\n <td>1</td>\n <td>26</td>\n <td>100</td>\n <td>4.582</td>\n <td>8.218</td>\n <td>0.0</td>\n <td>12.8</td>\n </tr>\n <tr>\n <th>2</th>\n <td>33</td>\n <td>2</td>\n <td>10</td>\n <td>57</td>\n <td>6.111</td>\n <td>5.802</td>\n <td>1.0</td>\n <td>20.9</td>\n </tr>\n <tr>\n <th>3</th>\n <td>29</td>\n <td>2</td>\n <td>4</td>\n <td>19</td>\n <td>0.681</td>\n <td>0.516</td>\n <td>0.0</td>\n <td>6.3</td>\n </tr>\n <tr>\n <th>4</th>\n <td>47</td>\n <td>1</td>\n <td>31</td>\n <td>253</td>\n <td>9.308</td>\n <td>8.908</td>\n <td>0.0</td>\n <td>7.2</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " Age Edu Years Employed Income Card Debt Other Debt Defaulted \\\n0 41 2 6 19 0.124 1.073 0.0 \n1 47 1 26 100 4.582 8.218 0.0 \n2 33 2 10 57 6.111 5.802 1.0 \n3 29 2 4 19 0.681 0.516 0.0 \n4 47 1 31 253 9.308 8.908 0.0 \n\n DebtIncomeRatio \n0 6.3 \n1 12.8 \n2 20.9 \n3 6.3 \n4 7.2 "
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "scaler = StandardScaler()",
"execution_count": 16,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df_scaled = pd.DataFrame(scaler.fit_transform(df), columns=df.columns)",
"execution_count": 17,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df_scaled.head()",
"execution_count": 18,
"outputs": [
{
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Age</th>\n <th>Edu</th>\n <th>Years Employed</th>\n <th>Income</th>\n <th>Card Debt</th>\n <th>Other Debt</th>\n <th>Defaulted</th>\n <th>DebtIncomeRatio</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>0.768304</td>\n <td>0.298793</td>\n <td>-0.359007</td>\n <td>-0.723102</td>\n <td>-0.675699</td>\n <td>-0.604284</td>\n <td>-0.594950</td>\n <td>-0.580528</td>\n </tr>\n <tr>\n <th>1</th>\n <td>1.519090</td>\n <td>-0.779325</td>\n <td>2.647029</td>\n <td>1.478707</td>\n <td>1.431421</td>\n <td>1.570620</td>\n <td>-0.594950</td>\n <td>0.372222</td>\n </tr>\n <tr>\n <th>2</th>\n <td>-0.232744</td>\n <td>0.298793</td>\n <td>0.242201</td>\n <td>0.309845</td>\n <td>2.154119</td>\n <td>0.835201</td>\n <td>1.680814</td>\n <td>1.559495</td>\n </tr>\n <tr>\n <th>3</th>\n <td>-0.733267</td>\n <td>0.298793</td>\n <td>-0.659610</td>\n <td>-0.723102</td>\n <td>-0.412427</td>\n <td>-0.773833</td>\n <td>-0.594950</td>\n <td>-0.580528</td>\n </tr>\n <tr>\n <th>4</th>\n <td>1.519090</td>\n <td>-0.779325</td>\n <td>3.398538</td>\n <td>5.637681</td>\n <td>3.665215</td>\n <td>1.780653</td>\n <td>-0.594950</td>\n <td>-0.448609</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " Age Edu Years Employed Income Card Debt Other Debt \\\n0 0.768304 0.298793 -0.359007 -0.723102 -0.675699 -0.604284 \n1 1.519090 -0.779325 2.647029 1.478707 1.431421 1.570620 \n2 -0.232744 0.298793 0.242201 0.309845 2.154119 0.835201 \n3 -0.733267 0.298793 -0.659610 -0.723102 -0.412427 -0.773833 \n4 1.519090 -0.779325 3.398538 5.637681 3.665215 1.780653 \n\n Defaulted DebtIncomeRatio \n0 -0.594950 -0.580528 \n1 -0.594950 0.372222 \n2 1.680814 1.559495 \n3 -0.594950 -0.580528 \n4 -0.594950 -0.448609 "
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## TASK 2 (K-Means application)\n\nApply K-Means algorithm on the processed dataset. You can set K = 3 at the beginning. However, you might also try out some other values for K. Try to tease apart the outcome while varying the initial choice of K. The idea of this activity sheet is to mainly learn the ways of implementing K-Means algorithm in Python. Analysing the clusters within the dataset are not mandatory. Nonetheless, you are free to play with the dataset and formulate any meaningful insights."
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Determining the appropriate number of clusters\nThese methods are often used as complementary evaluation techniques rather than one being preferred over the other.\n#### The Elbow Method\nThe elbow method, run several k-means, increment k with each iteration, and records the SSE (Sum of Squares due to Errors). This variance is called WCSS (Within Cluster Sum of Squares).\n\nSSE decreases as k increase. By adding more centroids, the distance from each point to its closest centroid decrease. The spot where the SSE curve starts to bend is the elbow point. At this point, the x value is thought to be a reasonable trade-off between error and number of clusters."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "kmeans_kwargs = {\n \"init\": \"k-means++\",\n \"n_init\": 10,\n \"max_iter\": 300,\n \"random_state\": 42,\n}\n\n# A list holds the SSE values for each k\nwcss = []\nfor k in range(1, 11):\n kmeans = KMeans(n_clusters = k, **kmeans_kwargs)\n kmeans.fit(df_scaled)\n wcss.append(kmeans.inertia_)",
"execution_count": 19,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.style.use(\"seaborn-deep\")\nplt.plot(range(1, 11), wcss)\nplt.xticks(range(1, 11))\nplt.title(\"The Elbow Method\")\nplt.xlabel(\"Number of Clusters\")\nplt.ylabel(\"WCSS / SSE\")\nplt.show()",
"execution_count": 20,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Determining the elbow point in the SSE curve is, in this case, not straightforward. The Python package, kneed, is used to identify the elbow point programmatically. [Source: kneed](https://github.com/arvkevi/kneed)"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "kl = KneeLocator(range(1, 11), wcss, curve=\"convex\", direction=\"decreasing\")\n\nprint(k_clusters := kl.elbow)",
"execution_count": 21,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "4\n"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "#### The silhouette coefficient\nThe silhouette coefficient is a measure of cluster cohesion and separation. It quantifies how well a data point fits into its assigned cluster based on how close the data point is to other points in the cluster and how far away the data point is from points in other clusters. The silhouette coefficient values range between -1 and 1, where larger numbers indicate that samples are closer to their clusters than other clusters. \nThe sklearn implementation summarizes the average silhouette coefficient of all the samples into one score. It\nloops through k again, computing the silhouette coefficient."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# A list holds the silhouette coefficients for each k\nsilhouette_coefficients = []\n\n# Notice we start at 2 clusters for silhouette coefficient\nfor k in range(2, 11):\n kmeans = KMeans(n_clusters=k, **kmeans_kwargs)\n kmeans.fit(df_scaled)\n score = silhouette_score(df_scaled, kmeans.labels_)\n silhouette_coefficients.append(score)",
"execution_count": 22,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Plotting the average silhouette scores for each k shows that the best choice for k is 3 since it has the maximum score. However, ultimately, the decision on the number of clusters to use should be guided by a combination of domain knowledge and clustering evaluation metrics."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.style.use(\"seaborn-deep\")\nplt.plot(range(2, 11), silhouette_coefficients)\nplt.xticks(range(2, 11))\nplt.title(\"Silhouette Score\")\nplt.xlabel(\"Number of Clusters\")\nplt.ylabel(\"Silhouette Coefficient\")\nplt.show()",
"execution_count": 23,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "#### K-Means Model Training"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "kmeans = KMeans(n_clusters = k_clusters, init=\"k-means++\", random_state=42)\npred_labels = kmeans.fit_predict(df_scaled)\n# stored in kmeans.labels_",
"execution_count": 24,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "print(centroids := kmeans.cluster_centers_)",
"execution_count": 25,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "[[-0.40823211 0.17388878 -0.68068897 -0.38994677 0.00960372 -0.07503549\n 1.62530783 0.55642601]\n [-0.3326222 -0.08764116 -0.36670269 -0.39985576 -0.42602067 -0.46248469\n -0.59494973 -0.4025611 ]\n [ 0.83887209 -0.12117186 1.11080499 0.70130993 0.24665654 0.40777001\n -0.54202499 -0.0085375 ]\n [ 1.03420733 0.66939574 1.32249455 2.3774399 3.04496649 2.99107176\n 0.75628514 1.37077713]]\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df[\"Cluster\"] = pred_labels",
"execution_count": 26,
"outputs": []
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "df.head()",
"execution_count": 27,
"outputs": [
{
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Age</th>\n <th>Edu</th>\n <th>Years Employed</th>\n <th>Income</th>\n <th>Card Debt</th>\n <th>Other Debt</th>\n <th>Defaulted</th>\n <th>DebtIncomeRatio</th>\n <th>Cluster</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>41</td>\n <td>2</td>\n <td>6</td>\n <td>19</td>\n <td>0.124</td>\n <td>1.073</td>\n <td>0.0</td>\n <td>6.3</td>\n <td>1</td>\n </tr>\n <tr>\n <th>1</th>\n <td>47</td>\n <td>1</td>\n <td>26</td>\n <td>100</td>\n <td>4.582</td>\n <td>8.218</td>\n <td>0.0</td>\n <td>12.8</td>\n <td>2</td>\n </tr>\n <tr>\n <th>2</th>\n <td>33</td>\n <td>2</td>\n <td>10</td>\n <td>57</td>\n <td>6.111</td>\n <td>5.802</td>\n <td>1.0</td>\n <td>20.9</td>\n <td>0</td>\n </tr>\n <tr>\n <th>3</th>\n <td>29</td>\n <td>2</td>\n <td>4</td>\n <td>19</td>\n <td>0.681</td>\n <td>0.516</td>\n <td>0.0</td>\n <td>6.3</td>\n <td>1</td>\n </tr>\n <tr>\n <th>4</th>\n <td>47</td>\n <td>1</td>\n <td>31</td>\n <td>253</td>\n <td>9.308</td>\n <td>8.908</td>\n <td>0.0</td>\n <td>7.2</td>\n <td>3</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " Age Edu Years Employed Income Card Debt Other Debt Defaulted \\\n0 41 2 6 19 0.124 1.073 0.0 \n1 47 1 26 100 4.582 8.218 0.0 \n2 33 2 10 57 6.111 5.802 1.0 \n3 29 2 4 19 0.681 0.516 0.0 \n4 47 1 31 253 9.308 8.908 0.0 \n\n DebtIncomeRatio Cluster \n0 6.3 1 \n1 12.8 2 \n2 20.9 0 \n3 6.3 1 \n4 7.2 3 "
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df_scaled.head()",
"execution_count": 28,
"outputs": [
{
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Age</th>\n <th>Edu</th>\n <th>Years Employed</th>\n <th>Income</th>\n <th>Card Debt</th>\n <th>Other Debt</th>\n <th>Defaulted</th>\n <th>DebtIncomeRatio</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>0.768304</td>\n <td>0.298793</td>\n <td>-0.359007</td>\n <td>-0.723102</td>\n <td>-0.675699</td>\n <td>-0.604284</td>\n <td>-0.594950</td>\n <td>-0.580528</td>\n </tr>\n <tr>\n <th>1</th>\n <td>1.519090</td>\n <td>-0.779325</td>\n <td>2.647029</td>\n <td>1.478707</td>\n <td>1.431421</td>\n <td>1.570620</td>\n <td>-0.594950</td>\n <td>0.372222</td>\n </tr>\n <tr>\n <th>2</th>\n <td>-0.232744</td>\n <td>0.298793</td>\n <td>0.242201</td>\n <td>0.309845</td>\n <td>2.154119</td>\n <td>0.835201</td>\n <td>1.680814</td>\n <td>1.559495</td>\n </tr>\n <tr>\n <th>3</th>\n <td>-0.733267</td>\n <td>0.298793</td>\n <td>-0.659610</td>\n <td>-0.723102</td>\n <td>-0.412427</td>\n <td>-0.773833</td>\n <td>-0.594950</td>\n <td>-0.580528</td>\n </tr>\n <tr>\n <th>4</th>\n <td>1.519090</td>\n <td>-0.779325</td>\n <td>3.398538</td>\n <td>5.637681</td>\n <td>3.665215</td>\n <td>1.780653</td>\n <td>-0.594950</td>\n <td>-0.448609</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " Age Edu Years Employed Income Card Debt Other Debt \\\n0 0.768304 0.298793 -0.359007 -0.723102 -0.675699 -0.604284 \n1 1.519090 -0.779325 2.647029 1.478707 1.431421 1.570620 \n2 -0.232744 0.298793 0.242201 0.309845 2.154119 0.835201 \n3 -0.733267 0.298793 -0.659610 -0.723102 -0.412427 -0.773833 \n4 1.519090 -0.779325 3.398538 5.637681 3.665215 1.780653 \n\n Defaulted DebtIncomeRatio \n0 -0.594950 -0.580528 \n1 -0.594950 0.372222 \n2 1.680814 1.559495 \n3 -0.594950 -0.580528 \n4 -0.594950 -0.448609 "
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "pca = PCA(n_components=2).fit(df_scaled)\nprint(reduced_data := pca.transform(df_scaled))\nprint()\nprint(reduced_centroids := pca.transform(centroids))",
"execution_count": 29,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "[[-0.95326117 -0.79601669]\n [ 3.65413188 -1.47501087]\n [ 2.03515232 2.34314971]\n ...\n [ 0.14592008 4.29333991]\n [-1.15200442 -1.31361594]\n [ 1.4193277 -1.72414437]]\n\n[[-0.39357585 1.70498826]\n [-0.99559466 -0.41134519]\n [ 1.32100324 -1.04074679]\n [ 5.24597844 1.12365543]]\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "reduced_data.shape[0]",
"execution_count": 30,
"outputs": [
{
"data": {
"text/plain": "700"
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "kmeans.labels_[0:10]",
"execution_count": 31,
"outputs": [
{
"data": {
"text/plain": "array([1, 2, 0, 1, 3, 1, 1, 2, 0, 1], dtype=int32)"
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Add of remove elif section depending on cluster amount.\nplt.style.use(\"seaborn-deep\")\nplt.figure(figsize=(9, 6))\nfor i in range(0, reduced_data.shape[0]):\n if kmeans.labels_[i] == 0:\n c1 = plt.scatter(reduced_data[i,0],reduced_data[i,1], c= \"r\", marker=\"+\")\n elif kmeans.labels_[i] == 1:\n c2 = plt.scatter(reduced_data[i,0],reduced_data[i,1], c= \"g\", marker=\".\")\n elif kmeans.labels_[i] == 2:\n c3 = plt.scatter(reduced_data[i,0],reduced_data[i,1], c= \"b\", marker=\"+\")\n elif kmeans.labels_[i] == 3:\n c4 = plt.scatter(reduced_data[i,0],reduced_data[i,1], c= \"y\", marker=\"*\")\n\nc = plt.scatter(reduced_centroids[:, 0], reduced_centroids[:, 1], s = 200, c = \"orange\", label = \"Centroids\")\nplt.legend([c1, c2, c3, c4, c],[\"Cluster 0\", \"Cluster 1\", \"Cluster 2\", \"Cluster 3\",\"Centroids\"])\nplt.title(f\"K-means {k_clusters} clusters\");",
"execution_count": 32,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 648x432 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "data = pd.DataFrame(reduced_data, columns=[\"x\", \"y\"])",
"execution_count": 33,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "data[\"label\"] = pred_labels",
"execution_count": 34,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "data",
"execution_count": 35,
"outputs": [
{
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>x</th>\n <th>y</th>\n <th>label</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>-0.953261</td>\n <td>-0.796017</td>\n <td>1</td>\n </tr>\n <tr>\n <th>1</th>\n <td>3.654132</td>\n <td>-1.475011</td>\n <td>2</td>\n </tr>\n <tr>\n <th>2</th>\n <td>2.035152</td>\n <td>2.343150</td>\n <td>0</td>\n </tr>\n <tr>\n <th>3</th>\n <td>-1.551576</td>\n <td>-0.201234</td>\n <td>1</td>\n </tr>\n <tr>\n <th>4</th>\n <td>6.803437</td>\n <td>-2.586488</td>\n <td>3</td>\n </tr>\n <tr>\n <th>...</th>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n </tr>\n <tr>\n <th>695</th>\n <td>-0.612449</td>\n <td>-1.238859</td>\n <td>1</td>\n </tr>\n <tr>\n <th>696</th>\n <td>-1.054857</td>\n <td>-0.316570</td>\n <td>1</td>\n </tr>\n <tr>\n <th>697</th>\n <td>0.145920</td>\n <td>4.293340</td>\n <td>0</td>\n </tr>\n <tr>\n <th>698</th>\n <td>-1.152004</td>\n <td>-1.313616</td>\n <td>1</td>\n </tr>\n <tr>\n <th>699</th>\n <td>1.419328</td>\n <td>-1.724144</td>\n <td>2</td>\n </tr>\n </tbody>\n</table>\n<p>700 rows × 3 columns</p>\n</div>",
"text/plain": " x y label\n0 -0.953261 -0.796017 1\n1 3.654132 -1.475011 2\n2 2.035152 2.343150 0\n3 -1.551576 -0.201234 1\n4 6.803437 -2.586488 3\n.. ... ... ...\n695 -0.612449 -1.238859 1\n696 -1.054857 -0.316570 1\n697 0.145920 4.293340 0\n698 -1.152004 -1.313616 1\n699 1.419328 -1.724144 2\n\n[700 rows x 3 columns]"
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "pred_labels_set = set(pred_labels)",
"execution_count": 36,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "groups = dict(zip(pred_labels_set, reduced_centroids))",
"execution_count": 37,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "groups",
"execution_count": 38,
"outputs": [
{
"data": {
"text/plain": "{0: array([-0.39357585, 1.70498826]),\n 1: array([-0.99559466, -0.41134519]),\n 2: array([ 1.32100324, -1.04074679]),\n 3: array([5.24597844, 1.12365543])}"
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#set font size of labels on matplotlib plots\nplt.rc('font', size=16)\n\n#set style of plots\nsns.set_style('white')\n\n#define a custom palette\ncustomPalette = ['#630C3A', '#39C8C6', '#D3500C', '#FFB139']\nsns.set_palette(customPalette)\nsns.palplot(customPalette)",
"execution_count": 39,
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": "<Figure size 288x72 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#plot data with seaborn\n\nfacet = sns.lmplot(data=data, x=\"x\", y=\"y\", hue=\"label\", fit_reg=False, \n legend=True, legend_out=True, height=6, aspect=1.2);",
"execution_count": 40,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 584.875x432 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#plot data with seaborn (don\"t add a legend yet)\nfacet = sns.lmplot(data=data, x=\"x\", y=\"y\", hue=\"label\", \n fit_reg=False, legend=False, height=6, aspect=1.2);\n\n#add a legend\nleg = facet.ax.legend(bbox_to_anchor=[1, 0.75],\n title=\"labels\", fancybox=True)\n#change colors of labels\nfor i, text in enumerate(leg.get_texts()):\n plt.setp(text, color = customPalette[i])",
"execution_count": 41,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 518.4x432 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#plot data with seaborn\nfacet = sns.lmplot(data=data, x=\"x\", y=\"y\", hue=\"label\", \n fit_reg=False, legend=False, height=6, aspect=1.2);\n\n#define padding -- higher numbers will move title rightward\npad = 4.5\n\n#define separation between cluster labels\nsep = 0.3\n\n#define y position of title\ny = 5.6\n\n#add beginning of title in black\nfacet.ax.text(pad, y, \"Distributions of points in clusters:\", \n ha=\"right\", va=\"bottom\", color=\"black\")\n\n#add color-coded cluster labels\nfor i, label in enumerate(groups.keys()):\n text = facet.ax.text(pad+((i+1)*sep), y, label, \n ha=\"right\", va=\"bottom\",\n color=customPalette[i])",
"execution_count": 42,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 518.4x432 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#create a new figure\nplt.figure(figsize=(9,6))\n\nlabels = groups\n\n#loop through labels and plot each cluster\nfor i, label in enumerate(groups.keys()):\n\n #add data points \n plt.scatter(x=data.loc[data[\"label\"]==label, \"x\"], \n y=data.loc[data[\"label\"]==label, \"y\"], \n color=customPalette[i], \n alpha=0.7)\n \n #add label\n plt.annotate(label, \n labels[label],\n horizontalalignment=\"center\",\n verticalalignment=\"center\",\n size=40, weight=\"bold\") #, # The plot is too dence for colors.\n # color=customPalette[i]) ",
"execution_count": 43,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 648x432 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#create a new figure\nplt.figure(figsize=(9,6))\n\n#loop through labels and plot each cluster\nfor i, label in enumerate(groups.keys()):\n\n #add data points \n plt.scatter(x=data.loc[data[\"label\"]==label, \"x\"], \n y=data.loc[data[\"label\"]==label,\"y\"], \n color=customPalette[i], \n alpha=0.20)\n \n #add label\n plt.annotate(label, \n data.loc[data[\"label\"]==label,[\"x\",\"y\"]].mean(),\n horizontalalignment=\"center\",\n verticalalignment=\"center\",\n size=20, weight=\"bold\") #, # The plot is too dence for colors.\n # color=customPalette[i]) ",
"execution_count": 44,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 648x432 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#create a new figure\nplt.figure(figsize=(9,6))\n\n#loop through labels and plot each cluster\nfor i, label in enumerate(groups.keys()):\n\n #add data points \n plt.scatter(x=data.loc[data[\"label\"]==label, \"x\"], \n y=data.loc[data[\"label\"]==label,\"y\"], \n color=customPalette[i], \n alpha=1)\n \n #add label\n plt.annotate(label, \n data.loc[data[\"label\"]==label,[\"x\",\"y\"]].mean(),\n horizontalalignment=\"center\",\n verticalalignment=\"center\",\n size=20, weight=\"bold\",\n color=\"white\",\n backgroundcolor=customPalette[i]) ",
"execution_count": 45,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 648x432 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "#create a new figure and set the x and y limits\nfig, axes = plt.subplots(figsize=(9,6))\naxes.set_xlim(-3,11)\naxes.set_ylim(-4,6)\n\n#loop through labels and plot each cluster\nfor i, label in enumerate(groups.keys()):\n\n #loop through data points and plot each point \n for l, row in data.loc[data[\"label\"]==label,:].iterrows():\n \n #add the data point as text\n plt.annotate(row[\"label\"], \n (row[\"x\"], row[\"y\"]),\n horizontalalignment=\"center\",\n verticalalignment=\"center\",\n size=11,\n color=customPalette[i]) ",
"execution_count": 46,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 648x432 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
},
{
"metadata": {
"run_control": {
"marked": false
},
"trusted": true
},
"cell_type": "code",
"source": "import matplotlib.pyplot as plt\nfrom sklearn.datasets.samples_generator import make_blobs\nplt.figure(figsize=(10, 8))\nX, y = make_blobs(n_samples=5000, centers=[\n [4, 4], [-2, -1], [2, -3], [1, 1]], cluster_std=0.9)\nplt.scatter(X[:, 0], X[:, 1], s=10);",
"execution_count": 47,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "/Users/lewiuberg/Documents/Utdanning/Applied Data Science/17.MAL - UC3MAL101/venv/lib/python3.8/site-packages/sklearn/utils/deprecation.py:143: FutureWarning: The sklearn.datasets.samples_generator module is deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.datasets. Anything that cannot be imported from sklearn.datasets is now part of the private API.\n warnings.warn(message, FutureWarning)\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 720x576 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/674d6c8a6592ef3c56efd07879be3515"
},
"gist": {
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"data": {
"description": "nuc_machine_learning/Session 8/tutorial 8.ipynb",
"public": true
}
},
"hide_input": false,
"kernelspec": {
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"display_name": "venv",
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},
"language_info": {
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"codemirror_mode": {
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"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"latex_envs": {
"eqNumInitial": 1,
"eqLabelWithNumbers": true,
"current_citInitial": 1,
"cite_by": "apalike",
"bibliofile": "biblio.bib",
"LaTeX_envs_menu_present": true,
"labels_anchors": false,
"latex_user_defs": false,
"user_envs_cfg": false,
"report_style_numbering": false,
"autoclose": false,
"autocomplete": true,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
}
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": true,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"varInspector": {
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"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"library": "var_list.py",
"delete_cmd_prefix": "del ",
"delete_cmd_postfix": "",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"library": "var_list.r",
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"varRefreshCmd": "cat(var_dic_list()) "
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},
"types_to_exclude": [
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},
"nbformat": 4,
"nbformat_minor": 4
}
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