{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hierarchical Clustering with MPDist\n", "\n", "In this tutorial you will see how to use the novel MPDist metric to cluster time series data. The time series data used in this example is accelerometer data consisting of individuals performing the following actions:\n", "\n", "1. Working at Computer\n", "2. Standing Up, Walking and Going updown stairs\n", "3. Standing\n", "4. Walking\n", "5. Going UpDown Stairs\n", "6. Walking and Talking with Someone\n", "7. Talking while Standing\n", "\n", "You can read more about the data set here:\n", "\n", "http://archive.ics.uci.edu/ml/datasets/Activity+Recognition+from+Single+Chest-Mounted+Accelerometer\n", "\n", "In essence, MPDist considers \"...two time series to be similar if they share many similar subsequences, regardless of the order of matching\n", "subsequences.\" [1] I encourage those interested in the details of the metric to read the paper.\n", "\n", "**Note that all code written in this tutorial has only been tested with Python 3!**" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matrixprofile as mp\n", "from scipy.cluster.hierarchy import dendrogram\n", "\n", "from matplotlib import pyplot as plt\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Download and Extract Data\n", "\n", "In this section we simply obtain the dataset and extract it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import urllib.request\n", "import zipfile\n", "import tempfile\n", "import os" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "temp_dir = tempfile.mkdtemp()\n", "url = 'http://archive.ics.uci.edu/ml/machine-learning-databases/00287/Activity%20Recognition%20from%20Single%20Chest-Mounted%20Accelerometer.zip'\n", "tmp_file = os.path.join(temp_dir, 'activity_recognition.zip')\n", "extracted_dir = os.path.join(temp_dir, 'extracted')\n", "\n", "os.makedirs(extracted_dir, exist_ok=True)\n", "\n", "with urllib.request.urlopen(url) as response, open(tmp_file, 'wb') as out_file:\n", " data = response.read() # a `bytes` object\n", " out_file.write(data)\n", " \n", "with zipfile.ZipFile(tmp_file, 'r') as zip_ref:\n", " zip_ref.extractall(extracted_dir)\n", " \n", "data_dir = os.path.join(extracted_dir, 'Activity Recognition from Single Chest-Mounted Accelerometer')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load Raw Data\n", "\n", "In this section we load the raw data and process it. For readability purposes, the target labels are transformed into human readable descriptions." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "label_description = '''\n", "1: Working at Computer\n", "2: Standing Up, Walking and Going updown stairs\n", "3: Standing\n", "4: Walking\n", "5: Going UpDown Stairs\n", "6: Walking and Talking with Someone\n", "7: Talking while Standing\n", "'''\n", "\n", "labels = []\n", "\n", "for line in label_description.split('\\n'):\n", " line = line.strip()\n", " if line == '':\n", " continue\n", " \n", " tmp = line.split(':')\n", " num = tmp[0].strip()\n", " description = tmp[1].strip()\n", " \n", " labels.append({\n", " 'label': str(num),\n", " 'description': description\n", " })\n", "\n", "labels_df = pd.DataFrame(labels)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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labeldescription
01Working at Computer
12Standing Up, Walking and Going updown stairs
23Standing
34Walking
45Going UpDown Stairs
56Walking and Talking with Someone
67Talking while Standing
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" ], "text/plain": [ " label description\n", "0 1 Working at Computer\n", "1 2 Standing Up, Walking and Going updown stairs\n", "2 3 Standing\n", "3 4 Walking\n", "4 5 Going UpDown Stairs\n", "5 6 Walking and Talking with Someone\n", "6 7 Talking while Standing" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "labels_df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This code snippet reads all of the csv files with pandas and combines them into a single data frame." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from glob import glob\n", "\n", "dfs = []\n", "\n", "for csv in glob(os.path.join(data_dir, '*.csv')):\n", " df = pd.read_csv(csv, header=None, names=['sequence', 'x', 'y', 'z', 'label'])\n", " df['label'] = df['label'].astype('str')\n", " df['participant_id'] = csv.split('/')[-1].replace('.csv', '')\n", " df = pd.merge(df, labels_df, on='label')\n", " dfs.append(df)\n", "\n", "df = pd.concat(dfs)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sequencexyzlabelparticipant_iddescription
00.0198324381825111Working at Computer
11.0194824421797111Working at Computer
22.0192723881784111Working at Computer
33.0196023191831111Working at Computer
44.0196722741871111Working at Computer
........................
122195122200.020632360200074Talking while Standing
122196122200.020562368200174Talking while Standing
122197122200.020592366200174Talking while Standing
122198122200.020632382200474Talking while Standing
122199122200.020712381200474Talking while Standing
\n", "

1923177 rows × 7 columns

\n", "
" ], "text/plain": [ " sequence x y z label participant_id \\\n", "0 0.0 1983 2438 1825 1 11 \n", "1 1.0 1948 2442 1797 1 11 \n", "2 2.0 1927 2388 1784 1 11 \n", "3 3.0 1960 2319 1831 1 11 \n", "4 4.0 1967 2274 1871 1 11 \n", "... ... ... ... ... ... ... \n", "122195 122200.0 2063 2360 2000 7 4 \n", "122196 122200.0 2056 2368 2001 7 4 \n", "122197 122200.0 2059 2366 2001 7 4 \n", "122198 122200.0 2063 2382 2004 7 4 \n", "122199 122200.0 2071 2381 2004 7 4 \n", "\n", " description \n", "0 Working at Computer \n", "1 Working at Computer \n", "2 Working at Computer \n", "3 Working at Computer \n", "4 Working at Computer \n", "... ... \n", "122195 Talking while Standing \n", "122196 Talking while Standing \n", "122197 Talking while Standing \n", "122198 Talking while Standing \n", "122199 Talking while Standing \n", "\n", "[1923177 rows x 7 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data consists of multiple coordinates from the accelerometer readings. Here we will just use the x data point." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "cols = ['sequence', 'x', 'label', 'participant_id', 'description']\n", "\n", "df = df[cols].copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualize Participant Data\n", "\n", "Here we just plot the entire x signal for a few participants to get an understanding of what the data looks like. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "c = 0\n", "for participant_id in df['participant_id'].unique():\n", " c += 1\n", " df[df['participant_id'] == participant_id].plot(x='sequence', y='x', title=f'participant_id {participant_id}', figsize=(15, 7))\n", " plt.show()\n", " \n", " if c >= 3:\n", " break" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transform Data\n", "\n", "This section transforms the data so that we have subsequences of data corresponding to a given activity. The series_data array contains the subsequences of an activity, the series labels are used to keep track of the activity, and the participant labels are used to keep track of the participant." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "df = df.sort_values(['participant_id', 'sequence'])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "series_data = []\n", "series_labels = []\n", "participant_labels = []\n", "\n", "for idx, items in labels_df.iterrows():\n", " descr = items['description']\n", " label = items['label']\n", " \n", " for participant_id in df['participant_id'].unique():\n", " mask = (df['participant_id'] == participant_id) & (df['label'] == label)\n", " values = df[mask]['x'].values\n", " \n", " series_data.append(values)\n", " series_labels.append(descr)\n", " participant_labels.append(participant_id)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(33677, 'Working at Computer', '1')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(series_data[0]), series_labels[0], participant_labels[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Random Sampling\n", "\n", "Here we take 25 random samples from the data set to see if our clustering seems logical. This saves time in the exploration phase allowing you to test more parameters." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "np.random.seed(9999)\n", "random_indices = np.random.choice(np.arange(105), size=25, replace=False)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "random_samples = []\n", "random_labels = []\n", "\n", "for random_index in random_indices:\n", " random_samples.append(series_data[random_index])\n", " random_labels.append(series_labels[random_index])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Good Enough Window Size\n", "\n", "Here we look identify what a \"good\" window size may be based on the minimum length of the time series. The window size must be smaller than the smallest time series length for the MPDist calculation to work." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "928" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lengths = []\n", "\n", "for ts in random_samples:\n", " lengths.append(len(ts))\n", "\n", "np.min(lengths)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Clustering and Visualizing Results\n", "\n", "Now that all of the data processing is complete, we can finally cluster the sampled data and look at the results." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "clusters = mp.discover.hierarchical_clusters(random_samples, 128, 2, n_jobs=8)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dendrogram(clusters['linkage_matrix'], labels=random_labels, leaf_rotation=90)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results seem logical, however the dataset used uncalibrated accelerometers and I only chose to use the x value. I do not know if the x value is representative enough to identify all activities. With this in mind, I encourage you to take this example and test it on the z or y value and even toy with the clustering parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Citations\n", "\n", "1. Matrix Profile XII: MPdist: A Novel Time Series Distance Measure to Allow Data Mining in More Challenging Scenarios. Shaghayegh Gharghabi, Shima Imani, Anthony Bagnall, Amirali Darvishzadeh, Eamonn Keogh. ICDM 2018. [expanded version PDF](https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxtcGRpc3RpbmZvfGd4OjNjMGZjOTBmYWEzNjM0ZWY)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 4 }