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LP3/ML/ML6.ipynb
T
bhakti-thakur e7793242f0 ML4 added
2025-11-05 16:10:43 +05:30

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "61342b32-ec46-4de2-a03d-feb1ef8646a2",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.cluster import KMeans\n",
"from scipy.cluster.hierarchy import linkage, dendrogram, fcluster\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "3210b6d2-d1cb-4c1e-9476-6fca6558faf4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Dataset shape: (2823, 25)\n",
" ORDERNUMBER QUANTITYORDERED PRICEEACH ORDERLINENUMBER SALES \\\n",
"0 10107 30 95.70 2 2871.00 \n",
"1 10121 34 81.35 5 2765.90 \n",
"2 10134 41 94.74 2 3884.34 \n",
"3 10145 45 83.26 6 3746.70 \n",
"4 10159 49 100.00 14 5205.27 \n",
"\n",
" ORDERDATE STATUS QTR_ID MONTH_ID YEAR_ID ... \\\n",
"0 2/24/2003 0:00 Shipped 1 2 2003 ... \n",
"1 5/7/2003 0:00 Shipped 2 5 2003 ... \n",
"2 7/1/2003 0:00 Shipped 3 7 2003 ... \n",
"3 8/25/2003 0:00 Shipped 3 8 2003 ... \n",
"4 10/10/2003 0:00 Shipped 4 10 2003 ... \n",
"\n",
" ADDRESSLINE1 ADDRESSLINE2 CITY STATE \\\n",
"0 897 Long Airport Avenue NaN NYC NY \n",
"1 59 rue de l'Abbaye NaN Reims NaN \n",
"2 27 rue du Colonel Pierre Avia NaN Paris NaN \n",
"3 78934 Hillside Dr. NaN Pasadena CA \n",
"4 7734 Strong St. NaN San Francisco CA \n",
"\n",
" POSTALCODE COUNTRY TERRITORY CONTACTLASTNAME CONTACTFIRSTNAME DEALSIZE \n",
"0 10022 USA NaN Yu Kwai Small \n",
"1 51100 France EMEA Henriot Paul Small \n",
"2 75508 France EMEA Da Cunha Daniel Medium \n",
"3 90003 USA NaN Young Julie Medium \n",
"4 NaN USA NaN Brown Julie Medium \n",
"\n",
"[5 rows x 25 columns]\n"
]
}
],
"source": [
"df = pd.read_csv(\"sales_data_sample.csv\", encoding='latin1', on_bad_lines='skip')\n",
"print(\"Dataset shape:\", df.shape)\n",
"print(df.head())"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "21cc8252-3eaa-467a-b669-955b44d3a551",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Features used for clustering:\n",
" ORDERNUMBER QUANTITYORDERED PRICEEACH ORDERLINENUMBER SALES QTR_ID \\\n",
"0 10107 30 95.70 2 2871.00 1 \n",
"1 10121 34 81.35 5 2765.90 2 \n",
"2 10134 41 94.74 2 3884.34 3 \n",
"3 10145 45 83.26 6 3746.70 3 \n",
"4 10159 49 100.00 14 5205.27 4 \n",
"\n",
" MONTH_ID YEAR_ID MSRP \n",
"0 2 2003 95 \n",
"1 5 2003 95 \n",
"2 7 2003 95 \n",
"3 8 2003 95 \n",
"4 10 2003 95 \n"
]
}
],
"source": [
"X = df.select_dtypes(include=['int64', 'float64'])\n",
"print(\"Features used for clustering:\\n\", X.head())\n",
"\n",
"# Select relevant numeric columns\n",
"# X = df[['SALES', 'QUANTITYORDERED', 'PRICEEACH']]\n",
"\n",
"# Handle missing values if any\n",
"# X = features.dropna()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "50cfbd98-19dd-4e27-9708-6890c3a1f774",
"metadata": {},
"outputs": [],
"source": [
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "5658a300-be94-444f-892e-1ede2171f671",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 600x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"K-Means Cluster Centers:\n",
" [[ 0.80842073 0.15626173 0.1599169 -0.10322049 0.13943053 -1.15351152\n",
" -1.15675151 1.18412804 0.07164397]\n",
" [-0.26408187 0.0398995 0.70503285 0.01560294 0.53444299 0.50961433\n",
" 0.5069744 -0.44559165 0.62315027]\n",
" [-0.30770787 -0.1781969 -1.04941352 0.06293662 -0.81019145 0.26569688\n",
" 0.2717579 -0.3739815 -0.87128259]]\n",
"\n",
"Cluster counts:\n",
" KMeans_Cluster\n",
"1 1183\n",
"2 907\n",
"0 733\n",
"Name: count, dtype: int64\n"
]
}
],
"source": [
"# Determine optimal number of clusters using Elbow Method\n",
"wcss = []\n",
"for k in range(1, 11):\n",
" kmeans = KMeans(n_clusters=k, random_state=42)\n",
" kmeans.fit(X_scaled)\n",
" wcss.append(kmeans.inertia_)\n",
"\n",
"# Plot Elbow Method\n",
"plt.figure(figsize=(6,4))\n",
"plt.plot(range(1, 11), wcss, marker='o')\n",
"plt.title('Elbow Method')\n",
"plt.xlabel('Number of clusters (k)')\n",
"plt.ylabel('Inertia (WCSS)')\n",
"plt.show()\n",
"\n",
"# Fit KMeans with chosen number of clusters (example: 3 clusters)\n",
"kmeans = KMeans(n_clusters=3, random_state=42) # Add n_init=10 param in the function to suppress warnings\n",
"clusters_kmeans = kmeans.fit_predict(X_scaled)\n",
"df['KMeans_Cluster'] = clusters_kmeans\n",
"\n",
"# Visualize clusters\n",
"sns.scatterplot(x='SALES', y='PRICEEACH', hue='KMeans_Cluster', data=df, palette='viridis')\n",
"plt.title(\"K-Means Clustering\")\n",
"plt.show()\n",
"\n",
"print(\"\\nK-Means Cluster Centers:\\n\", kmeans.cluster_centers_)\n",
"print(\"\\nCluster counts:\\n\", df['KMeans_Cluster'].value_counts())"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "e138c835-9f67-46a0-9716-dedec10c5470",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Hierarchical Cluster counts:\n",
" 1 1655\n",
"3 690\n",
"2 478\n",
"Name: count, dtype: int64\n"
]
}
],
"source": [
"# Create linkage matrix\n",
"Z = linkage(X_scaled, method='ward')\n",
"\n",
"# Plot dendrogram\n",
"plt.figure(figsize=(10,5))\n",
"dendrogram(Z)\n",
"plt.title('Hierarchical Clustering Dendrogram')\n",
"plt.xlabel('Samples')\n",
"plt.ylabel('Distance')\n",
"plt.show()\n",
"\n",
"# Assign clusters (example: 3 clusters)\n",
"clusters_hier = fcluster(Z, t=3, criterion='maxclust')\n",
"df['Hierarchical_Cluster'] = clusters_hier\n",
"\n",
"print(\"\\nHierarchical Cluster counts:\\n\", pd.Series(clusters_hier).value_counts())"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cc9779fa-1fcd-4768-8fea-ee89f9366c82",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}