{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Customer Segmentation with K-Means Clustering\n", "\n", "Customer segmentation will be applied to an e-commerce customer database using K-means clustering from scikit-learn. It is an [extension](https://github.com/cereniyim/Data-Science-Projects/blob/master/ECommerce-Sales-Data-EDA/ECommerce_Sales_Data_Analysis.ipynb) of a case study solved couple of months ago. \n", "\n", "The provided customers database is visualized as part of a case study. This project is taking the case study one step further with the following motive:\n", "\n", "**Can this customer database be grouped to develop customized relationships?** \n", "\n", "**To answer this question 3 features will be created and used:**
\n", "- products ordered\n", "- average return rate\n", "- total spending\n", "\n", "**Dataset represents real customers & orders data between November 2018 - April 2019 and it is pseudonymized for confidentiality.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Imports**" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# data wrangling\n", "import pandas as pd\n", "import numpy as np\n", "\n", "# visualization\n", "import matplotlib.pyplot as plt\n", "import plotly.express as px\n", "import plotly.graph_objects as go\n", "from plotly.subplots import make_subplots\n", "\n", "# for data preprocessing and clustering\n", "from sklearn.cluster import KMeans\n", "\n", "%matplotlib inline\n", "# to include graphs inline within the frontends next to code\n", "\n", "%config InlineBackend.figure_format='retina'\n", "#to enable retina (high resolution) plots\n", "\n", "pd.options.mode.chained_assignment = None\n", "# to bypass warnings in various dataframe assignments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Investigate data**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# load data into a dataframe\n", "customers_orders = pd.read_csv(\"Orders - Analysis Task.csv\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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product_titleproduct_typevariant_titlevariant_skuvariant_idcustomer_idorder_iddaynet_quantitygross_salesdiscountsreturnsnet_salestaxestotal_salesreturned_item_quantityordered_item_quantity
0DPRDPR100AD-982-708-895-F-6C894FB5203965713123788329071893249604/12/20182200.0-200.000.000.00.00.002
1RJFProduct P28 / A / MTM83-490-E49-8C8-8-3B100BC5691468637156573625379284811301/04/20192190.0-190.000.000.00.00.002
2CLHProduct B32 / B / FtO68-ECA-BC7-3B2-A-E73DE1B2406486295334487309455959722905/11/20180164.8-156.56-8.240.00.00.0-22
3NMAProduct F40 / B / FtO6C-1F1-226-1B3-2-3542B414382386841210045361657566826419/02/20191119.0-119.000.000.00.00.001
4NMAProduct F40 / B / FtO6C-1F1-226-1B3-2-3542B414382386841210042926322031942119/02/20191119.0-119.000.000.00.00.001
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" ], "text/plain": [ " product_title product_type variant_title variant_sku \\\n", "0 DPR DPR 100 AD-982-708-895-F-6C894FB \n", "1 RJF Product P 28 / A / MTM 83-490-E49-8C8-8-3B100BC \n", "2 CLH Product B 32 / B / FtO 68-ECA-BC7-3B2-A-E73DE1B \n", "3 NMA Product F 40 / B / FtO 6C-1F1-226-1B3-2-3542B41 \n", "4 NMA Product F 40 / B / FtO 6C-1F1-226-1B3-2-3542B41 \n", "\n", " variant_id customer_id order_id day net_quantity \\\n", "0 52039657 1312378 83290718932496 04/12/2018 2 \n", "1 56914686 3715657 36253792848113 01/04/2019 2 \n", "2 24064862 9533448 73094559597229 05/11/2018 0 \n", "3 43823868 4121004 53616575668264 19/02/2019 1 \n", "4 43823868 4121004 29263220319421 19/02/2019 1 \n", "\n", " gross_sales discounts returns net_sales taxes total_sales \\\n", "0 200.0 -200.00 0.00 0.0 0.0 0.0 \n", "1 190.0 -190.00 0.00 0.0 0.0 0.0 \n", "2 164.8 -156.56 -8.24 0.0 0.0 0.0 \n", "3 119.0 -119.00 0.00 0.0 0.0 0.0 \n", "4 119.0 -119.00 0.00 0.0 0.0 0.0 \n", "\n", " returned_item_quantity ordered_item_quantity \n", "0 0 2 \n", "1 0 2 \n", "2 -2 2 \n", "3 0 1 \n", "4 0 1 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# first rows of the dataset\n", "customers_orders.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 70052 entries, 0 to 70051\n", "Data columns (total 17 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 product_title 70052 non-null object \n", " 1 product_type 70052 non-null object \n", " 2 variant_title 70052 non-null object \n", " 3 variant_sku 70052 non-null object \n", " 4 variant_id 70052 non-null int64 \n", " 5 customer_id 70052 non-null int64 \n", " 6 order_id 70052 non-null int64 \n", " 7 day 70052 non-null object \n", " 8 net_quantity 70052 non-null int64 \n", " 9 gross_sales 70052 non-null float64\n", " 10 discounts 70052 non-null float64\n", " 11 returns 70052 non-null float64\n", " 12 net_sales 70052 non-null float64\n", " 13 taxes 70052 non-null float64\n", " 14 total_sales 70052 non-null float64\n", " 15 returned_item_quantity 70052 non-null int64 \n", " 16 ordered_item_quantity 70052 non-null int64 \n", "dtypes: float64(6), int64(6), object(5)\n", "memory usage: 9.1+ MB\n" ] } ], "source": [ "# first glance of customers_orders data\n", "customers_orders.info()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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variant_idcustomer_idorder_idnet_quantitygross_salesdiscountsreturnsnet_salestaxestotal_salesreturned_item_quantityordered_item_quantity
count7.005200e+047.005200e+047.005200e+0470052.00000070052.00000070052.00000070052.00000070052.00000070052.00000070052.00000070052.00000070052.000000
mean2.442320e+116.013091e+115.506075e+130.70117961.776302-4.949904-10.24605146.5803489.12363655.703982-0.1560980.857277
std4.255079e+126.223201e+122.587640e+130.73949731.8006897.76997225.15467751.80269010.30523661.9205570.3691900.380820
min1.001447e+071.000661e+061.000657e+13-3.0000000.000000-200.000000-237.500000-237.500000-47.500000-285.000000-3.0000000.000000
25%2.692223e+073.295695e+063.270317e+131.00000051.670000-8.3400000.00000047.0800008.37500056.2275000.0000001.000000
50%4.494514e+075.566107e+065.522207e+131.00000074.1700000.0000000.00000063.33000012.66000076.0000000.0000001.000000
75%7.743106e+077.815352e+067.736876e+131.00000079.1700000.0000000.00000074.17000014.84000089.0000000.0000001.000000
max8.422212e+139.977409e+139.999554e+136.000000445.0000000.0000000.000000445.00000063.340000445.0000000.0000006.000000
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" ], "text/plain": [ " variant_id customer_id order_id net_quantity gross_sales \\\n", "count 7.005200e+04 7.005200e+04 7.005200e+04 70052.000000 70052.000000 \n", "mean 2.442320e+11 6.013091e+11 5.506075e+13 0.701179 61.776302 \n", "std 4.255079e+12 6.223201e+12 2.587640e+13 0.739497 31.800689 \n", "min 1.001447e+07 1.000661e+06 1.000657e+13 -3.000000 0.000000 \n", "25% 2.692223e+07 3.295695e+06 3.270317e+13 1.000000 51.670000 \n", "50% 4.494514e+07 5.566107e+06 5.522207e+13 1.000000 74.170000 \n", "75% 7.743106e+07 7.815352e+06 7.736876e+13 1.000000 79.170000 \n", "max 8.422212e+13 9.977409e+13 9.999554e+13 6.000000 445.000000 \n", "\n", " discounts returns net_sales taxes total_sales \\\n", "count 70052.000000 70052.000000 70052.000000 70052.000000 70052.000000 \n", "mean -4.949904 -10.246051 46.580348 9.123636 55.703982 \n", "std 7.769972 25.154677 51.802690 10.305236 61.920557 \n", "min -200.000000 -237.500000 -237.500000 -47.500000 -285.000000 \n", "25% -8.340000 0.000000 47.080000 8.375000 56.227500 \n", "50% 0.000000 0.000000 63.330000 12.660000 76.000000 \n", "75% 0.000000 0.000000 74.170000 14.840000 89.000000 \n", "max 0.000000 0.000000 445.000000 63.340000 445.000000 \n", "\n", " returned_item_quantity ordered_item_quantity \n", "count 70052.000000 70052.000000 \n", "mean -0.156098 0.857277 \n", "std 0.369190 0.380820 \n", "min -3.000000 0.000000 \n", "25% 0.000000 1.000000 \n", "50% 0.000000 1.000000 \n", "75% 0.000000 1.000000 \n", "max 0.000000 6.000000 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# descriptive statistics of the non-object columns\n", "customers_orders.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There were significant number of rows whose `ordered_item_quantity` is 0 and `net_quantity` is less than 0, which means they are not ordered/sold at all; but the fact that they have returns requires investigation." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of rows that net quantity is negative: 10715\n" ] } ], "source": [ "print(\"Number of rows that net quantity is negative:\", \n", " customers_orders[customers_orders.net_quantity < 0].shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**These rows will be excluded from the orders dataset for the project.**" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# exclude not sold/ordered SKUs from the dataset\n", "customers_orders = customers_orders[\n", " customers_orders[\"ordered_item_quantity\"] > 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Products ordered\n", "It is the count of the products ordered in product_type column by a customer.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Create functions to identify customers who order multiple products**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def encode_column(column):\n", " if column > 0:\n", " return 1\n", " if column <= 0:\n", " return 0\n", "\n", "\n", "def aggregate_by_ordered_quantity(dataframe, column_list):\n", " '''this function:\n", " 1. aggregates a given dataframe by column list, \n", " as a result creates a aggregated dataframe by counting the ordered item quantities\n", "\n", " 2. adds number_of_X ordered where X is the second element in the column_list \n", " to the aggregated dataframe by encoding ordered items into 1\n", "\n", " 3. creates final dataframe containing information about \n", " how many of X are ordered, based on the first element passed in the column list'''\n", "\n", " aggregated_dataframe = (dataframe\n", " .groupby(column_list)\n", " .ordered_item_quantity.count()\n", " .reset_index())\n", "\n", " aggregated_dataframe[\"products_ordered\"] = (aggregated_dataframe\n", " .ordered_item_quantity\n", " .apply(encode_column))\n", "\n", " final_dataframe = (aggregated_dataframe\n", " .groupby(column_list[0])\n", " .products_ordered.sum() # aligned with the added column name\n", " .reset_index())\n", "\n", " return final_dataframe" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# apply functions to customers_orders\n", "customers = aggregate_by_ordered_quantity(customers_orders, [\"customer_id\", \"product_type\"])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " customer_id products_ordered\n", "0 1000661 1\n", "1 1001914 1\n", "2 1002167 3\n", "3 1002387 1\n", "4 1002419 2\n" ] } ], "source": [ "print(customers.head())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Average Return Rate\n", "It is the ratio of returned item quantity and ordered item quantity. This ratio is first calculated per order and then averaged for all orders of a customer." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# aggregate data per customer_id and order_id, \n", "# to see ordered item sum and returned item sum\n", "ordered_sum_by_customer_order = (customers_orders\n", " .groupby([\"customer_id\", \"order_id\"])\n", " .ordered_item_quantity.sum()\n", " .reset_index())\n", "\n", "returned_sum_by_customer_order = (customers_orders\n", " .groupby([\"customer_id\", \"order_id\"])\n", " .returned_item_quantity.sum()\n", " .reset_index())\n", "\n", "# merge two dataframes to be able to calculate unit return rate\n", "ordered_returned_sums = pd.merge(ordered_sum_by_customer_order, returned_sum_by_customer_order)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# calculate unit return rate per order and customer\n", "ordered_returned_sums[\"average_return_rate\"] = (-1 * \n", " ordered_returned_sums[\"returned_item_quantity\"] /\n", " ordered_returned_sums[\"ordered_item_quantity\"])" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " customer_id order_id ordered_item_quantity returned_item_quantity \\\n", "0 1000661 99119989117212 3 0 \n", "1 1001914 79758569034715 1 0 \n", "2 1002167 38156088848638 1 0 \n", "3 1002167 57440147820257 1 0 \n", "4 1002167 58825523953710 1 0 \n", "\n", " average_return_rate \n", "0 0.0 \n", "1 0.0 \n", "2 0.0 \n", "3 0.0 \n", "4 0.0 " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ordered_returned_sums.head()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# take average of the unit return rate for all orders of a customer\n", "customer_return_rate = (ordered_returned_sums\n", " .groupby(\"customer_id\")\n", " .average_return_rate\n", " .mean()\n", " .reset_index())" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " average return rate count of unit return rate\n", "0 0.000000 24823\n", "9 0.013889 1\n", "10 0.066667 1\n", "8 0.083333 1\n", "12 0.125000 1\n", "5 0.166667 2\n", "6 0.200000 2\n", "4 0.250000 5\n", "1 0.333333 13\n", "11 0.400000 1\n", "3 0.500000 9\n", "7 0.666667 2\n", "2 1.000000 13" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "return_rates = pd.DataFrame(customer_return_rate[\"average_return_rate\"]\n", " .value_counts()\n", " .reset_index())\n", "\n", "return_rates.rename(columns=\n", " {\"index\": \"average return rate\",\n", " \"average_return_rate\": \"count of unit return rate\"},\n", " inplace=True)\n", "\n", "return_rates.sort_values(by=\"average return rate\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# add average_return_rate to customers dataframe\n", "customers = pd.merge(customers,\n", " customer_return_rate,\n", " on=\"customer_id\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Total spending\n", "Total spending is the aggregated sum of total sales value which is the amount after the taxes and returns." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# aggreagate total sales per customer id\n", "customer_total_spending = (customers_orders\n", " .groupby(\"customer_id\")\n", " .total_sales\n", " .sum()\n", " .reset_index())\n", "\n", "customer_total_spending.rename(columns = {\"total_sales\" : \"total_spending\"},\n", " inplace = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create features data frame" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# add total sales to customers dataframe\n", "customers = customers.merge(customer_total_spending, \n", " on=\"customer_id\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The number of customers from the existing customer base: 24874\n" ] } ], "source": [ "print(\"The number of customers from the existing customer base:\", customers.shape[0])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# drop id column since it is not a feature\n", "customers.drop(columns=\"customer_id\",\n", " inplace=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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"domain": [ 0, 1 ] }, "xaxis2": { "anchor": "y2", "domain": [ 0, 1 ] }, "xaxis3": { "anchor": "y3", "domain": [ 0, 1 ] }, "yaxis": { "anchor": "x", "domain": [ 0.7777777777777778, 1 ] }, "yaxis2": { "anchor": "x2", "domain": [ 0.3888888888888889, 0.6111111111111112 ] }, "yaxis3": { "anchor": "x3", "domain": [ 0, 0.22222222222222224 ] } } }, "text/html": [ "
\n", " \n", " \n", "
\n", " \n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = make_subplots(rows=3, cols=1,\n", " subplot_titles=(\"Products Ordered\", \n", " \"Average Return Rate\", \n", " \"Total Spending\"))\n", "\n", "fig.append_trace(go.Histogram(x=customers.products_ordered),\n", " row=1, col=1)\n", "\n", "fig.append_trace(go.Histogram(x=customers.average_return_rate),\n", " row=2, col=1)\n", "\n", "fig.append_trace(go.Histogram(x=customers.total_spending),\n", " row=3, col=1)\n", "\n", "fig.update_layout(height=800, width=800,\n", " title_text=\"Distribution of the Features\")\n", "\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scale Features: Log Transformation" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "def apply_log1p_transformation(dataframe, column):\n", " '''This function takes a dataframe and a column in the string format\n", " then applies numpy log1p transformation to the column\n", " as a result returns log1p applied pandas series'''\n", " \n", " dataframe[\"log_\" + column] = np.log1p(dataframe[column])\n", " return dataframe[\"log_\" + column]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Products ordered" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 0.693147\n", "1 0.693147\n", "2 1.386294\n", "3 0.693147\n", "4 1.098612\n", " ... \n", "24869 1.098612\n", "24870 1.098612\n", "24871 0.693147\n", "24872 1.098612\n", "24873 0.693147\n", "Name: log_products_ordered, Length: 24874, dtype: float64" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apply_log1p_transformation(customers, \"products_ordered\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Average return rate" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 0.0\n", "1 0.0\n", "2 0.0\n", "3 0.0\n", "4 0.0\n", " ... \n", "24869 0.0\n", "24870 0.0\n", "24871 0.0\n", "24872 0.0\n", "24873 0.0\n", "Name: log_average_return_rate, Length: 24874, dtype: float64" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apply_log1p_transformation(customers, \"average_return_rate\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3. Total spending" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 5.564520\n", "1 4.384524\n", "2 5.460436\n", "3 4.499810\n", "4 4.644391\n", " ... \n", "24869 5.560682\n", "24870 5.495117\n", "24871 4.499810\n", "24872 5.590987\n", "24873 4.174387\n", "Name: log_total_spending, Length: 24874, dtype: float64" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apply_log1p_transformation(customers, \"total_spending\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize log transformation applied features" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "type": "histogram", "x": [ 0.6931471805599453, 0.6931471805599453, 1.3862943611198906, 0.6931471805599453, 1.0986122886681098, 1.0986122886681098, 0.6931471805599453, 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" ], "text/plain": [ " log_products_ordered log_average_return_rate log_total_spending\n", "0 0.693147 0.0 5.564520\n", "1 0.693147 0.0 4.384524\n", "2 1.386294 0.0 5.460436\n", "3 0.693147 0.0 4.499810\n", "4 1.098612 0.0 4.644391\n", "... ... ... ...\n", "24869 1.098612 0.0 5.560682\n", "24870 1.098612 0.0 5.495117\n", "24871 0.693147 0.0 4.499810\n", "24872 1.098612 0.0 5.590987\n", "24873 0.693147 0.0 4.174387\n", "\n", "[24874 rows x 3 columns]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# features we are going to use as an input to the model\n", "customers.iloc[:,3:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create K-means model" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "# create initial K-means model\n", "kmeans_model = KMeans(init='k-means++', \n", " max_iter=500, \n", " random_state=42)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "within-cluster sum-of-squares (inertia) of the model is: 1066.6086426894992\n" ] } ], "source": [ "kmeans_model.fit(customers.iloc[:,3:])\n", "\n", "# print the sum of distances from all examples to the center of the cluster\n", "print(\"within-cluster sum-of-squares (inertia) of the model is:\", kmeans_model.inertia_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hyperparameter tuning: Find optimal number of clusters" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "def make_list_of_K(K, dataframe):\n", " '''inputs: K as integer and dataframe\n", " apply k-means clustering to dataframe\n", " and make a list of inertia values against 1 to K (inclusive)\n", " return the inertia values list\n", " '''\n", " \n", " cluster_values = list(range(1, K+1))\n", " inertia_values=[]\n", " \n", " for c in cluster_values:\n", " model = KMeans(\n", " n_clusters = c, \n", " init='k-means++', \n", " max_iter=500, \n", " random_state=42)\n", " model.fit(dataframe)\n", " inertia_values.append(model.inertia_)\n", " \n", " return inertia_values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize different K and models" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "# save inertia values in a dataframe for k values between 1 to 15 \n", "results = make_list_of_K(15, customers.iloc[:, 3:])\n", "\n", "k_values_distances = pd.DataFrame({\"clusters\": list(range(1, 16)),\n", " \"within cluster sum of squared distances\": results})" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "mode": "lines+markers", "type": "scatter", "x": [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ], "y": [ 14721.827136751679, 5378.435726264917, 3008.219647504408, 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"standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Within Cluster Sum of Squared Distances VS K Values" }, "xaxis": { "dtick": 1, "tick0": 1, "tickmode": "linear", "title": { "text": "K values" } }, "yaxis": { "title": { "text": "Cluster sum of squared distances" } } } }, "text/html": [ "
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualization for the selection of number of segments\n", "fig = go.Figure()\n", "\n", "fig.add_trace(go.Scatter(x=k_values_distances[\"clusters\"], \n", " y=k_values_distances[\"within cluster sum of squared distances\"],\n", " mode='lines+markers'))\n", "\n", "fig.update_layout(xaxis = dict(\n", " tickmode = 'linear',\n", " tick0 = 1,\n", " dtick = 1),\n", " title_text=\"Within Cluster Sum of Squared Distances VS K Values\",\n", " xaxis_title=\"K values\",\n", " yaxis_title=\"Cluster sum of squared distances\")\n", "\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Update K-Means Clustering" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([3, 0, 3, ..., 0, 3, 0], dtype=int32)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# create clustering model with optimal k=4\n", "updated_kmeans_model = KMeans(n_clusters = 4, \n", " init='k-means++', \n", " max_iter=500, \n", " random_state=42)\n", "\n", "updated_kmeans_model.fit_predict(customers.iloc[:,3:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Add cluster centers to the visualization" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1.01496335e+00, 1.15284613e-03, 7.65510085e+01, 7.00601007e-01,\n", " 1.15218211e-03, 4.35093589e+00],\n", " [1.52690198e+00, 5.47445531e-04, 1.59884595e+02, 9.26994039e-01,\n", " 5.47295737e-04, 5.08068731e+00],\n", " [3.94543624e+00, 5.55690433e-04, 5.80572876e+02, 1.59846518e+00,\n", " 5.55536095e-04, 6.36573629e+00],\n", " [2.39821221e+00, 5.20180049e-04, 2.83774022e+02, 1.22324947e+00,\n", " 5.20044802e-04, 5.65169596e+00]])" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# create cluster centers and actual data arrays\n", "cluster_centers = updated_kmeans_model.cluster_centers_\n", "actual_data = np.expm1(cluster_centers)\n", "add_points = np.append(actual_data, cluster_centers, axis=1)\n", "add_points" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "# add labels to customers dataframe and add_points array\n", "add_points = np.append(add_points, [[0], [1], [2], [3]], axis=1)\n", "customers[\"clusters\"] = updated_kmeans_model.labels_" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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products_orderedaverage_return_ratetotal_spendinglog_products_orderedlog_average_return_ratelog_total_spendingclusters
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" ], "text/plain": [ " products_ordered average_return_rate total_spending \\\n", "0 1.014963 0.001153 76.551009 \n", "1 1.526902 0.000547 159.884595 \n", "2 3.945436 0.000556 580.572876 \n", "3 2.398212 0.000520 283.774022 \n", "\n", " log_products_ordered log_average_return_rate log_total_spending clusters \n", "0 0.700601 0.001152 4.350936 0.0 \n", "1 0.926994 0.000547 5.080687 1.0 \n", "2 1.598465 0.000556 6.365736 2.0 \n", "3 1.223249 0.000520 5.651696 3.0 " ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# create centers dataframe from add_points\n", "centers_df = pd.DataFrame(data=add_points, columns=[\"products_ordered\",\n", " \"average_return_rate\",\n", " \"total_spending\",\n", " \"log_products_ordered\",\n", " \"log_average_return_rate\",\n", " \"log_total_spending\",\n", " \"clusters\"])\n", "centers_df.head()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "# align cluster centers of centers_df and customers\n", "centers_df[\"clusters\"] = centers_df[\"clusters\"].astype(\"int\")" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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products_orderedaverage_return_ratetotal_spendinglog_products_orderedlog_average_return_ratelog_total_spendingclusters
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" ], "text/plain": [ " products_ordered average_return_rate total_spending \\\n", "0 1 0.0 260.0 \n", "1 1 0.0 79.2 \n", "2 3 0.0 234.2 \n", "3 1 0.0 89.0 \n", "4 2 0.0 103.0 \n", "\n", " log_products_ordered log_average_return_rate log_total_spending clusters \n", "0 0.693147 0.0 5.564520 3 \n", "1 0.693147 0.0 4.384524 0 \n", "2 1.386294 0.0 5.460436 3 \n", "3 0.693147 0.0 4.499810 0 \n", "4 1.098612 0.0 4.644391 1 " ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "customers.head()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "# differentiate between data points and cluster centers\n", "customers[\"is_center\"] = 0\n", "centers_df[\"is_center\"] = 1\n", "\n", "# add dataframes together\n", "customers = customers.append(centers_df, ignore_index=True)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " products_ordered average_return_rate total_spending \\\n", "24873 1.000000 0.000000 64.000000 \n", "24874 1.014963 0.001153 76.551009 \n", "24875 1.526902 0.000547 159.884595 \n", "24876 3.945436 0.000556 580.572876 \n", "24877 2.398212 0.000520 283.774022 \n", "\n", " log_products_ordered log_average_return_rate log_total_spending \\\n", "24873 0.693147 0.000000 4.174387 \n", "24874 0.700601 0.001152 4.350936 \n", "24875 0.926994 0.000547 5.080687 \n", "24876 1.598465 0.000556 6.365736 \n", "24877 1.223249 0.000520 5.651696 \n", "\n", " clusters is_center \n", "24873 0 0 \n", "24874 0 1 \n", "24875 1 1 \n", "24876 2 1 \n", "24877 3 1 " ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "customers.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize Customer Segmentation" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "# add clusters to the dataframe\n", "customers[\"cluster_name\"] = customers[\"clusters\"].astype(str)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "customdata": [ [ 1, 0, 79.2 ], [ 1, 0, 89 ], [ 1, 0, 44 ], [ 1, 0, 66 ], [ 1, 0, 95 ], [ 1, 0, 66 ], [ 1, 0, 95 ], [ 1, 0, 95 ], [ 1, 0, 70 ], [ 1, 0, 71.2 ], [ 1, 0, 95 ], [ 1, 0, 64 ], [ 1, 0, 89 ], [ 1, 0, 62.1 ], [ 1, 0, 89 ], [ 1, 0, 59.4 ], [ 1, 0, 89 ], [ 1, 0, 71.2 ], [ 1, 0, 64 ], [ 1, 0, 89 ], [ 1, 0, 64 ], [ 1, 0, 69 ], [ 1, 0, 99 ], [ 1, 0, 64 ], [ 1, 0, 99 ], [ 1, 0, 80.1 ], [ 1, 0, 44 ], [ 1, 0, 66 ], [ 1, 0, 79.2 ], [ 1, 0, 66 ], [ 1, 0, 64 ], [ 1, 0, 76 ], [ 1, 0, 80.1 ], [ 1, 0, 103.2 ], [ 1, 0, 76 ], [ 1, 0, 94 ], [ 1, 0, 80.1 ], [ 1, 0, 89 ], [ 1, 0, 62.1 ], [ 1, 0, 79.2 ], [ 1, 0, 95 ], [ 1, 0, 64 ], [ 1, 0, 74 ], [ 1, 0, 89 ], [ 1, 0, 95 ], [ 1, 0, 55.8 ], [ 1, 0, 74 ], [ 1, 0, 95 ], [ 1, 0, 62 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