{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "QU13Xg9n0bSM" }, "source": [ "# Retail Product Recommendations using word2vec\n", "> Creating a system that automatically recommends a certain number of products to the consumers on an E-commerce website based on the past purchase behavior of the consumers.\n", "\n", "- toc: true\n", "- badges: true\n", "- comments: true\n", "- categories: [sequence, retail]\n", "- image: " ] }, { "cell_type": "markdown", "metadata": { "id": "VwgbuHwVtshy" }, "source": [ "A person involved in sports-related activities might have an online buying pattern similar to this:" ] }, { "cell_type": "markdown", "metadata": { "id": "NQLbbKfmtn_O" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "2tYh4SrWtynJ" }, "source": [ "If we can represent each of these products by a vector, then we can easily find similar products. So, if a user is checking out a product online, then we can easily recommend him/her similar products by using the vector similarity score between the products." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "executionInfo": { "elapsed": 1427, "status": "ok", "timestamp": 1619252390068, "user": { "displayName": "sparsh agarwal", "photoUrl": "", "userId": "00322518567794762549" }, "user_tz": -330 }, "id": "W0wI5j74nc9W" }, "outputs": [], "source": [ "#hide\n", "import pandas as pd\n", "import numpy as np\n", "import random\n", "from tqdm import tqdm\n", "from gensim.models import Word2Vec \n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "import warnings;\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "metadata": { "id": "cDi5Gu8Ou7bb" }, "source": [ "## Data gathering and understanding" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 3274, "status": "ok", "timestamp": 1619252391927, "user": { "displayName": "sparsh agarwal", "photoUrl": "", "userId": "00322518567794762549" }, "user_tz": -330 }, "id": "TlW0pTzGniGo", "outputId": "0392f779-4c42-4e9e-b096-51ee6487b53d" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--2021-04-24 08:19:50-- https://archive.ics.uci.edu/ml/machine-learning-databases/00352/Online%20Retail.xlsx\n", "Resolving archive.ics.uci.edu (archive.ics.uci.edu)... 128.195.10.252\n", "Connecting to archive.ics.uci.edu (archive.ics.uci.edu)|128.195.10.252|:443... connected.\n", "HTTP request sent, awaiting response... 200 OK\n", "Length: 23715344 (23M) [application/x-httpd-php]\n", "Saving to: ‘Online Retail.xlsx’\n", "\n", "Online Retail.xlsx 100%[===================>] 22.62M 22.7MB/s in 1.0s \n", "\n", "2021-04-24 08:19:51 (22.7 MB/s) - ‘Online Retail.xlsx’ saved [23715344/23715344]\n", "\n" ] } ], "source": [ "#hide-output\n", "!wget https://archive.ics.uci.edu/ml/machine-learning-databases/00352/Online%20Retail.xlsx" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 204 }, "executionInfo": { "elapsed": 45709, "status": "ok", "timestamp": 1619252434373, "user": { "displayName": "sparsh agarwal", "photoUrl": "", "userId": "00322518567794762549" }, "user_tz": -330 }, "id": "z_Kt8wtZnjRm", "outputId": "e30cdfd6-fd16-48ab-fa22-283fdb3d2578" }, "outputs": [ { "data": { "text/html": [ "
\n", " | InvoiceNo | \n", "StockCode | \n", "Description | \n", "Quantity | \n", "InvoiceDate | \n", "UnitPrice | \n", "CustomerID | \n", "Country | \n", "
---|---|---|---|---|---|---|---|---|
0 | \n", "536365 | \n", "85123A | \n", "WHITE HANGING HEART T-LIGHT HOLDER | \n", "6 | \n", "2010-12-01 08:26:00 | \n", "2.55 | \n", "17850.0 | \n", "United Kingdom | \n", "
1 | \n", "536365 | \n", "71053 | \n", "WHITE METAL LANTERN | \n", "6 | \n", "2010-12-01 08:26:00 | \n", "3.39 | \n", "17850.0 | \n", "United Kingdom | \n", "
2 | \n", "536365 | \n", "84406B | \n", "CREAM CUPID HEARTS COAT HANGER | \n", "8 | \n", "2010-12-01 08:26:00 | \n", "2.75 | \n", "17850.0 | \n", "United Kingdom | \n", "
3 | \n", "536365 | \n", "84029G | \n", "KNITTED UNION FLAG HOT WATER BOTTLE | \n", "6 | \n", "2010-12-01 08:26:00 | \n", "3.39 | \n", "17850.0 | \n", "United Kingdom | \n", "
4 | \n", "536365 | \n", "84029E | \n", "RED WOOLLY HOTTIE WHITE HEART. | \n", "6 | \n", "2010-12-01 08:26:00 | \n", "3.39 | \n", "17850.0 | \n", "United Kingdom | \n", "