{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series and Machine Learning Primer\n", "> This chapter is an introduction to the basics of machine learning, time series data, and the intersection between the two. This is the Summary of lecture \"Machine Learning for Time Series Data in Python\", via datacamp.\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Chanseok Kang\n", "- categories: [Python, Datacamp, Time_Series_Analysis, Machine_Learning]\n", "- image: images/murmur_sound.png" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "plt.rcParams['figure.figsize'] = (10, 5)\n", "plt.style.use('fivethirtyeight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Timeseries kinds and applications\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting a time series (I)\n", "In this exercise, you'll practice plotting the values of two time series without the time component." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('./dataset/data.csv', index_col=0)\n", "data2 = pd.read_csv('./dataset/data2.csv', index_col=0)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the time series in each dataset\n", "fig, axs = plt.subplots(2, 1, figsize=(10, 10));\n", "data.iloc[:1000].plot(y='data_values', ax=axs[0]);\n", "data2.iloc[:1000].plot(y='data_values', ax=axs[1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting a time series (II)\n", "You'll now plot both the datasets again, but with the included time stamps for each (stored in the column called \"time\"). Let's see if this gives you some more context for understanding each time series data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('./dataset/data_time.csv', index_col=0)\n", "data2 = pd.read_csv('./dataset/data_time2.csv', index_col=0)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the time series in each dataset\n", "fig, axs = plt.subplots(2, 1, figsize=(10, 10));\n", "data.iloc[:1000].plot(x='time', y='data_values', ax=axs[0]);\n", "data2.iloc[:1000].plot(x='time', y='data_values', ax=axs[1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Machine Learning Basics\n", "- Preparing data for scikit-learn\n", " - ```scikit-learn``` expects a particular structure of data: (samples, features)\n", " - Make sure that your data is at least two-dimensional\n", " - Make sure the first dimension is samples" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal length (cm)sepal width (cm)petal length (cm)petal width (cm)target
507.03.24.71.41
516.43.24.51.51
526.93.14.91.51
535.52.34.01.31
546.52.84.61.51
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" ], "text/plain": [ " sepal length (cm) sepal width (cm) petal length (cm) petal width (cm) \\\n", "50 7.0 3.2 4.7 1.4 \n", "51 6.4 3.2 4.5 1.5 \n", "52 6.9 3.1 4.9 1.5 \n", "53 5.5 2.3 4.0 1.3 \n", "54 6.5 2.8 4.6 1.5 \n", "\n", " target \n", "50 1 \n", "51 1 \n", "52 1 \n", "53 1 \n", "54 1 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('./dataset/iris_tsa.csv', index_col=0)\n", "data.head()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(x='petal length (cm)', y='petal width (cm)', hue='target', data=data);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LinearSVC(C=1.0, class_weight=None, dual=True, fit_intercept=True,\n", " intercept_scaling=1, loss='squared_hinge', max_iter=1000,\n", " multi_class='ovr', penalty='l2', random_state=None, tol=0.0001,\n", " verbose=0)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.svm import LinearSVC\n", "\n", "# Construct data for the model\n", "X = data[['petal length (cm)', 'petal width (cm)']]\n", "y = np.ravel(data[['target']])\n", "\n", "# Fit the model\n", "model = LinearSVC()\n", "model.fit(X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Predicting using a classification model\n", "Now that you have fit your classifier, let's use it to predict the type of flower (or class) for some newly-collected flowers.\n", "\n", "Using the classifier you fit, you'll predict the type of each flower." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "targets = pd.read_csv('./dataset/iris_target.csv', index_col=0)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2 2 2 1 1 2 2 2 2 1 2 1 1 2 1 1 2 1 2 2]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create input array\n", "X_predict = targets[['petal length (cm)', 'petal width (cm)']]\n", "\n", "# Predict with the model\n", "predictions = model.predict(X_predict)\n", "print(predictions)\n", "\n", "# Visualize predictions and actual values\n", "plt.scatter(X_predict['petal length (cm)'], X_predict['petal width (cm)'], \n", " c=predictions, cmap=plt.cm.coolwarm);\n", "plt.xlabel('petal length (cm)');\n", "plt.ylabel('petal width (cm)');\n", "plt.title(\"Predicted class values\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitting a simple model: regression\n", "In this exercise, you'll practice fitting a regression model using data from the Boston housing market." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "boston = pd.read_csv('./dataset/boston.csv', index_col=0)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(boston['AGE'], boston['RM']);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn import linear_model\n", "\n", "# Prepare input and output DataFrame\n", "X = boston[['AGE']]\n", "y = boston[['RM']]\n", "\n", "# Fit the model\n", "model = linear_model.LinearRegression()\n", "model.fit(X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Predicting using a regression model\n", "Now that you've fit a model with the Boston housing data, lets see what predictions it generates on some new data. You can investigate the underlying relationship that the model has found between inputs and outputs by feeding in a range of numbers as inputs and seeing what the model predicts for each input." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "new_inputs = np.array(pd.read_csv('./dataset/boston_newinputs.csv', index_col=0, header=None).values)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate predictions with the model using those inputs\n", "predictions = model.predict(new_inputs)\n", "\n", "# Visualizae the inputs and predicted values\n", "plt.scatter(new_inputs, predictions, color='r', s=3);\n", "plt.xlabel('inputs');\n", "plt.ylabel('predictions');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Machine learning and time series data\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inspecting the classification data\n", "In these final exercises of this chapter, you'll explore the two datasets you'll use in this course.\n", "\n", "The first is a collection of heartbeat sounds. Hearts normally have a predictable sound pattern as they beat, but some disorders can cause the heart to beat abnormally. This dataset contains a training set with labels for each type of heartbeat, and a testing set with no labels. You'll use the testing set to validate your models.\n", "\n", "As you have labeled data, this dataset is ideal for classification. In fact, it was originally offered as a part of a [public Kaggle competition](https://www.kaggle.com/kinguistics/heartbeat-sounds)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import librosa as lr\n", "from glob import glob\n", "\n", "# List all the wav files in the folder\n", "audio_files = glob('./dataset/files/*.wav')\n", "\n", "# Read in the first audio file, create the time array\n", "audio, sfreq = lr.load(audio_files[0])\n", "time = np.arange(0, len(audio)) / sfreq\n", "\n", "# Plot audio over time\n", "fig, ax = plt.subplots();\n", "ax.plot(time, audio)\n", "ax.set(xlabel='Time (s)', ylabel='Sound Amplitude');\n", "plt.savefig('../images/murmur_sound.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inspecting the regression data\n", "The next dataset contains information about company market value over several years of time. This is one of the most popular kind of time series data used for regression. If you can model the value of a company as it changes over time, you can make predictions about where that company will be in the future. This dataset was also originally provided as part of a [public Kaggle competition](https://www.kaggle.com/dgawlik/nyse).\n", "\n", "In this exercise, you'll plot the time series for a number of companies to get an understanding of how they are (or aren't) related to one another." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AAPL FB NFLX V XOM\n", "time \n", "2010-01-04 214.009998 NaN 53.479999 88.139999 69.150002\n", "2010-01-05 214.379993 NaN 51.510001 87.129997 69.419998\n", "2010-01-06 210.969995 NaN 53.319999 85.959999 70.019997\n", "2010-01-07 210.580000 NaN 52.400001 86.760002 69.800003\n", "2010-01-08 211.980005 NaN 53.300002 87.000000 69.519997\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Read in the data\n", "data = pd.read_csv('./dataset/prices_nyse.csv', index_col=0)\n", "\n", "# Convert the index of the DataFrame to datetime\n", "data.index = pd.to_datetime(data.index)\n", "print(data.head())\n", "\n", "# Loop through each column, plot its values over time\n", "fig, ax = plt.subplots();\n", "for column in data.columns:\n", " data[column].plot(ax=ax, label=column);\n", "ax.legend();" ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }