{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Jupyter Notebook Showcase\n", "\n", "**by Ian McLoughlin (ian.mcloughlin@gmit.ie)**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook demonstrates the analysis of a data set using the [Python programming language](https://www.python.org/about/gettingstarted/).\n", "\n", "The notebook is hosted on [GitHub](https://github.com/ianmcloughlin/jupyter-teaching-notebooks/blob/master/showcase.ipynb).\n", "\n", "You can take this interactive notebook and play around with it: [**https://goo.gl/SbYMqr**](https://goo.gl/SbYMqr).\n", "\n", "*Note: unfortunately, Google haven't updated their packages yet so you'll have to uncomment and run the following code if you're running it on Collaboratory.*" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "#!pip install --upgrade seaborn " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## A bit of context\n", "\n", "#### My objectives in this talk are to:\n", "\n", "1. Demonstrate that programming is accessible to non-computing students.\n", "2. Discuss the pros and cons of Graphical User Interfaces in data analytics.\n", "3. Widen understanding of the formal sciences.\n", "\n", "#### A few talking points\n", "\n", "- Notebooks are useful for students of all disciplines (formal sciences, natural sciences, social sciences, engineering, etc.)\n", "- Notebooks are documents that blend text, mathematical notation and runnable code, and can be run from a browser.\n", "- We'll soon have our first wave of incoming students having taken Computer Science at second level.\n", "- That might foster a discussion about what programming is - maybe it's just a skill." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## About the data set\n", "\n", "\n", "![Ronald Fisher](https://upload.wikimedia.org/wikipedia/commons/a/aa/Youngronaldfisher2.JPG)\n", "\n", "We'll look at the well-known [Iris data set](https://archive.ics.uci.edu/ml/datasets/iris).\n", "\n", "It was collected by [Ronald Fisher (above)](http://www-history.mcs.st-andrews.ac.uk/Biographies/Fisher.html).\n", "\n", "Fisher is famous for [The Design of Experiments](https://en.wikipedia.org/wiki/The_Design_of_Experiments) including the [Lady Tasting Tea problem](https://en.wikipedia.org/wiki/Lady_tasting_tea) and [ANOVA](https://en.wikipedia.org/wiki/Analysis_of_variance#History) amongst other things." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## Load a data set\n", "\n", "![Iris](http://www.oranchak.com/three-irises.jpg)\n", "\n", "Using Python, we can easily load a comma separated values (CSV) file to analyse it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthclass
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width class\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# pandas is a Python package for investigating data sets.\n", "import pandas as pd\n", "\n", "# We can load a CSV file directly from a URL.\n", "df = pd.read_csv(\"https://github.com/ianmcloughlin/datasets/raw/master/iris.csv\")\n", "\n", "# Have a look at the first five rows of the data set.\n", "df.head(5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## Plot the data\n", "\n", "The data set contains five variables, and so is difficult to visualise.\n", "Luckily somebody has written a Python package called seaborn with a lovely plot suited to it." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Set up our Jupyer notebook to display plots nicely.\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Set the default plot size.\n", "import matplotlib.pyplot as plt\n", "plt.rcParams['figure.figsize'] = (10, 8)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# seaborn is named after Rob Lowe's character in The West Wing.\n", "import seaborn as sns\n", "\n", "# A pair plot will create a matrix of scatter plots.\n", "pp = sns.pairplot(df, hue=\"class\", palette=\"husl\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## Formulate a problem\n", "\n", "Fisher was interested in knowing whether the class could be predicted from the other variables." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$f(sl, sw, pl, pw) = class$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can we figure out a good $f$ from the data set?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## Try a simpler problem\n", "\n", "The setosa class looks quite a bit different to the other two." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Let's single out two of the numeric variables.\n", "sns.scatterplot(x=\"petal_length\", y=\"sepal_width\", hue=\"class\", data=df)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\mclou\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:15: FutureWarning: `rcond` parameter will change to the default of machine precision times ``max(M, N)`` where M and N are the input matrix dimensions.\n", "To use the future default and silence this warning we advise to pass `rcond=None`, to keep using the old, explicitly pass `rcond=-1`.\n", " from ipykernel import kernelapp as app\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Adapted from https://stackoverflow.com/questions/22491359/least-squares-linear-classifier-in-matlab\n", "# Note the code here is a little more involved, but it can likely be simplified.\n", "\n", "# Numerical package for Python\n", "import numpy as np\n", "\n", "# A will have three columns: petal lengths, sepal widths and a column of 1's.\n", "A = df[['petal_length', 'sepal_width']].values\n", "A = np.hstack([A, np.ones([A.shape[0], 1])])\n", "\n", "# b is a column matrix that contains a 1 eveywhere there's a setosa and -1 elsewhere.\n", "b = (df['class'] == 'setosa').map({True: 1, False: -1})\n", "\n", "# Find the best x in Ax=b.\n", "x = np.linalg.lstsq(A, b)[0]\n", "\n", "# Now we can plot the line on top of the previous plot.\n", "sns.scatterplot(x=\"petal_length\", y=\"sepal_width\", hue=\"class\", data=df)\n", "\n", "u = np.array([min(df['petal_length']), max(df['petal_length'])])\n", "v = -x[2]/x[1] - (x[0]/x[1])*u;\n", "plt.plot(u, v, 'k-')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The idea is now that when you come across a new iris, you can decide whether it's a setosa or not by plotting its petal length and sepal width to see what side of the line it is on." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## Train a neural network\n", "\n", "Using Python, we can get up and running with quite sophisticated concepts very quickly.\n", "\n", "![A neuron](https://github.com/ianmcloughlin/images/raw/master/neuron.png)\n", "\n", "For instance, we can create small neural network." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/10\n", "150/150 [==============================] - 1s 5ms/step - loss: 0.8309\n", "Epoch 2/10\n", "150/150 [==============================] - 0s 327us/step - loss: 0.6564\n", "Epoch 3/10\n", "150/150 [==============================] - 0s 347us/step - loss: 0.5740\n", "Epoch 4/10\n", "150/150 [==============================] - 0s 480us/step - loss: 0.5263 0s - loss: 0.520\n", "Epoch 5/10\n", "150/150 [==============================] - 0s 500us/step - loss: 0.4801\n", "Epoch 6/10\n", "150/150 [==============================] - 0s 493us/step - loss: 0.4451\n", "Epoch 7/10\n", "150/150 [==============================] - 0s 347us/step - loss: 0.4241\n", "Epoch 8/10\n", "150/150 [==============================] - 0s 320us/step - loss: 0.4005\n", "Epoch 9/10\n", "150/150 [==============================] - 0s 440us/step - loss: 0.3717\n", "Epoch 10/10\n", "150/150 [==============================] - 0s 340us/step - loss: 0.3715\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# For building neural networks.\n", "import keras as kr\n", "\n", "# For encoding categorical variables.\n", "import sklearn.preprocessing as pre\n", "\n", "# For splitting into training and test sets.\n", "import sklearn.model_selection as mod\n", "\n", "inputs = df[['petal_length', 'petal_width', 'sepal_length', 'sepal_width']]\n", "\n", "encoder = pre.LabelBinarizer()\n", "encoder.fit(df['class'])\n", "outputs = encoder.transform(df['class'])\n", "\n", "# Start a neural network, building it by layers.\n", "model = kr.models.Sequential()\n", "\n", "# Add a hidden layer with 64 neurons and an input layer with 4.\n", "model.add(kr.layers.Dense(units=64, activation='relu', input_dim=4))\n", "# Add a three neuron output layer.\n", "model.add(kr.layers.Dense(units=3, activation='softmax'))\n", "\n", "# Build the graph.\n", "model.compile(loss='categorical_crossentropy', optimizer='adam')\n", "\n", "# Train the neural network.\n", "model.fit(inputs, outputs, epochs=10, batch_size=5)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "sepal_length 5.936\n", "sepal_width 2.770\n", "petal_length 4.260\n", "petal_width 1.326\n", "dtype: float64" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# As an example, take the average values for a versicolor.\n", "df[df['class'] == 'versicolor'].mean()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'virginica'" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Ask the neural network to predict what class of iris it is.\n", "mean_versicolor = df[df['class'] == 'versicolor'].mean().values.reshape(1,4)\n", "prediction = model.predict([mean_versicolor])\n", "encoder.inverse_transform(prediction)[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## A learning opportunity\n", "\n", "You can see that the neural network predicts that the average versicolor to be a virginica.\n", "\n", "When something like that happens, it's a good troubleshooting/learning opportunity for students.\n", "\n", "You can let the students come up with ideas as to why the neural network thinks those values represent a virginica:\n", "\n", "- Maybe the neural network is not set up correctly.\n", "- Maybe taking the average of each variable does not represent the average versicolor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "## Concluding remarks\n", "\n", "- Notebooks are useful for discussing and illuminating concepts.\n", "- Python is an easy programming language to learn.\n", "- We've touched on numerous different disciplines today.\n", "- The processes, algorithms and techniques that enabled the analysis come largely from the formal sciences.\n", "\n", "***\n", "\n", "![fin](https://github.com/ianmcloughlin/images/raw/master/fin.jpg)" ] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }