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report.html
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<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>student_intervention</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
<style type="text/css">
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<h1 id="Machine-Learning-Engineer-Nanodegree">Machine Learning Engineer Nanodegree<a class="anchor-link" href="#Machine-Learning-Engineer-Nanodegree">¶</a></h1><h2 id="Supervised-Learning">Supervised Learning<a class="anchor-link" href="#Supervised-Learning">¶</a></h2><h2 id="Project-2:-Building-a-Student-Intervention-System">Project 2: Building a Student Intervention System<a class="anchor-link" href="#Project-2:-Building-a-Student-Intervention-System">¶</a></h2>
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<p>Welcome to the second project of the Machine Learning Engineer Nanodegree! In this notebook, some template code has already been provided for you, and it will be your job to implement the additional functionality necessary to successfully complete this project. Sections that begin with <strong>'Implementation'</strong> in the header indicate that the following block of code will require additional functionality which you must provide. Instructions will be provided for each section and the specifics of the implementation are marked in the code block with a <code>'TODO'</code> statement. Please be sure to read the instructions carefully!</p>
<p>In addition to implementing code, there will be questions that you must answer which relate to the project and your implementation. Each section where you will answer a question is preceded by a <strong>'Question X'</strong> header. Carefully read each question and provide thorough answers in the following text boxes that begin with <strong>'Answer:'</strong>. Your project submission will be evaluated based on your answers to each of the questions and the implementation you provide.</p>
<blockquote><p><strong>Note:</strong> Code and Markdown cells can be executed using the <strong>Shift + Enter</strong> keyboard shortcut. In addition, Markdown cells can be edited by typically double-clicking the cell to enter edit mode.</p>
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<h3 id="Question-1---Classification-vs.-Regression">Question 1 - Classification vs. Regression<a class="anchor-link" href="#Question-1---Classification-vs.-Regression">¶</a></h3><p><em>Your goal for this project is to identify students who might need early intervention before they fail to graduate. Which type of supervised learning problem is this, classification or regression? Why?</em></p>
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<p><strong>Answer: </strong></p>
<p>This is a classification supervised learning problem.</p>
<p>Classification problems typically take an input and map it to an output set of discrete labels, in this case, true/false or requires intervention vs. does not require intervention. We will train the model using the feature 'Passed' (yes/no) as our target value and then predict this value with new data. In contrast, regression supervised learning problems map inputs to an output of continuous real values.</p>
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<h2 id="Exploring-the-Data">Exploring the Data<a class="anchor-link" href="#Exploring-the-Data">¶</a></h2><p>Run the code cell below to load necessary Python libraries and load the student data. Note that the last column from this dataset, <code>'passed'</code>, will be our target label (whether the student graduated or didn't graduate). All other columns are features about each student.</p>
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<div class=" highlight hl-ipython2"><pre><span class="c1"># Import libraries</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">pandas</span> <span class="kn">as</span> <span class="nn">pd</span>
<span class="kn">from</span> <span class="nn">time</span> <span class="kn">import</span> <span class="n">time</span>
<span class="kn">from</span> <span class="nn">sklearn.metrics</span> <span class="kn">import</span> <span class="n">f1_score</span>
<span class="c1"># Read student data</span>
<span class="n">student_data</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_csv</span><span class="p">(</span><span class="s2">"student-data.csv"</span><span class="p">)</span>
<span class="k">print</span> <span class="s2">"Student data read successfully!"</span>
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<pre>Student data read successfully!
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<h3 id="Implementation:-Data-Exploration">Implementation: Data Exploration<a class="anchor-link" href="#Implementation:-Data-Exploration">¶</a></h3><p>Let's begin by investigating the dataset to determine how many students we have information on, and learn about the graduation rate among these students. In the code cell below, you will need to compute the following:</p>
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<li>The total number of students, <code>n_students</code>.</li>
<li>The total number of features for each student, <code>n_features</code>.</li>
<li>The number of those students who passed, <code>n_passed</code>.</li>
<li>The number of those students who failed, <code>n_failed</code>.</li>
<li>The graduation rate of the class, <code>grad_rate</code>, in percent (%).</li>
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<div class=" highlight hl-ipython2"><pre><span class="c1"># Calculate number of students</span>
<span class="n">n_students</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">student_data</span><span class="o">.</span><span class="n">index</span><span class="p">)</span>
<span class="c1"># Calculate number of features</span>
<span class="n">n_features</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">student_data</span><span class="o">.</span><span class="n">columns</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">])</span>
<span class="c1"># Calculate passing students</span>
<span class="n">n_passed</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">student_data</span><span class="p">[</span><span class="n">student_data</span><span class="p">[</span><span class="s1">'passed'</span><span class="p">]</span> <span class="o">==</span> <span class="s1">'yes'</span><span class="p">])</span>
<span class="c1"># Calculate failing students</span>
<span class="n">n_failed</span> <span class="o">=</span> <span class="n">n_students</span> <span class="o">-</span> <span class="n">n_passed</span>
<span class="c1"># Calculate graduation rate</span>
<span class="n">grad_rate</span> <span class="o">=</span> <span class="p">(</span><span class="n">n_passed</span> <span class="o">/</span> <span class="nb">float</span><span class="p">(</span><span class="n">n_students</span><span class="p">))</span> <span class="o">*</span> <span class="mi">100</span>
<span class="c1"># Print the results</span>
<span class="k">print</span> <span class="s2">"Total number of students: {}"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">n_students</span><span class="p">)</span>
<span class="k">print</span> <span class="s2">"Number of features: {}"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">n_features</span><span class="p">)</span>
<span class="k">print</span> <span class="s2">"Number of students who passed: {}"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">n_passed</span><span class="p">)</span>
<span class="k">print</span> <span class="s2">"Number of students who failed: {}"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">n_failed</span><span class="p">)</span>
<span class="k">print</span> <span class="s2">"Graduation rate of the class: {:.2f}%"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">grad_rate</span><span class="p">)</span>
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<pre>Total number of students: 395
Number of features: 30
Number of students who passed: 265
Number of students who failed: 130
Graduation rate of the class: 67.09%
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<h2 id="Preparing-the-Data">Preparing the Data<a class="anchor-link" href="#Preparing-the-Data">¶</a></h2><p>In this section, we will prepare the data for modeling, training and testing.</p>
<h3 id="Identify-feature-and-target-columns">Identify feature and target columns<a class="anchor-link" href="#Identify-feature-and-target-columns">¶</a></h3><p>It is often the case that the data you obtain contains non-numeric features. This can be a problem, as most machine learning algorithms expect numeric data to perform computations with.</p>
<p>Run the code cell below to separate the student data into feature and target columns to see if any features are non-numeric.</p>
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<div class=" highlight hl-ipython2"><pre><span class="c1"># Extract feature columns</span>
<span class="n">feature_cols</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">student_data</span><span class="o">.</span><span class="n">columns</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">])</span>
<span class="c1"># Extract target column 'passed'</span>
<span class="n">target_col</span> <span class="o">=</span> <span class="n">student_data</span><span class="o">.</span><span class="n">columns</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
<span class="c1"># Show the list of columns</span>
<span class="k">print</span> <span class="s2">"Feature columns:</span><span class="se">\n</span><span class="s2">{}"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">feature_cols</span><span class="p">)</span>
<span class="k">print</span> <span class="s2">"</span><span class="se">\n</span><span class="s2">Target column: {}"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">target_col</span><span class="p">)</span>
<span class="c1"># Separate the data into feature data and target data (X_all and y_all, respectively)</span>
<span class="n">X_all</span> <span class="o">=</span> <span class="n">student_data</span><span class="p">[</span><span class="n">feature_cols</span><span class="p">]</span>
<span class="n">y_all</span> <span class="o">=</span> <span class="n">student_data</span><span class="p">[</span><span class="n">target_col</span><span class="p">]</span>
<span class="c1"># Show the feature information by printing the first five rows</span>
<span class="k">print</span> <span class="s2">"</span><span class="se">\n</span><span class="s2">Feature values:"</span>
<span class="k">print</span> <span class="n">X_all</span><span class="o">.</span><span class="n">head</span><span class="p">()</span>
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<pre>Feature columns:
['school', 'sex', 'age', 'address', 'famsize', 'Pstatus', 'Medu', 'Fedu', 'Mjob', 'Fjob', 'reason', 'guardian', 'traveltime', 'studytime', 'failures', 'schoolsup', 'famsup', 'paid', 'activities', 'nursery', 'higher', 'internet', 'romantic', 'famrel', 'freetime', 'goout', 'Dalc', 'Walc', 'health', 'absences']
Target column: passed
Feature values:
school sex age address famsize Pstatus Medu Fedu Mjob Fjob \
0 GP F 18 U GT3 A 4 4 at_home teacher
1 GP F 17 U GT3 T 1 1 at_home other
2 GP F 15 U LE3 T 1 1 at_home other
3 GP F 15 U GT3 T 4 2 health services
4 GP F 16 U GT3 T 3 3 other other
... higher internet romantic famrel freetime goout Dalc Walc health \
0 ... yes no no 4 3 4 1 1 3
1 ... yes yes no 5 3 3 1 1 3
2 ... yes yes no 4 3 2 2 3 3
3 ... yes yes yes 3 2 2 1 1 5
4 ... yes no no 4 3 2 1 2 5
absences
0 6
1 4
2 10
3 2
4 4
[5 rows x 30 columns]
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<h3 id="Preprocess-Feature-Columns">Preprocess Feature Columns<a class="anchor-link" href="#Preprocess-Feature-Columns">¶</a></h3><p>As you can see, there are several non-numeric columns that need to be converted! Many of them are simply <code>yes</code>/<code>no</code>, e.g. <code>internet</code>. These can be reasonably converted into <code>1</code>/<code>0</code> (binary) values.</p>
<p>Other columns, like <code>Mjob</code> and <code>Fjob</code>, have more than two values, and are known as <em>categorical variables</em>. The recommended way to handle such a column is to create as many columns as possible values (e.g. <code>Fjob_teacher</code>, <code>Fjob_other</code>, <code>Fjob_services</code>, etc.), and assign a <code>1</code> to one of them and <code>0</code> to all others.</p>
<p>These generated columns are sometimes called <em>dummy variables</em>, and we will use the <a href="http://pandas.pydata.org/pandas-docs/stable/generated/pandas.get_dummies.html?highlight=get_dummies#pandas.get_dummies"><code>pandas.get_dummies()</code></a> function to perform this transformation. Run the code cell below to perform the preprocessing routine discussed in this section.</p>
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<div class=" highlight hl-ipython2"><pre><span class="k">def</span> <span class="nf">preprocess_features</span><span class="p">(</span><span class="n">X</span><span class="p">):</span>
<span class="sd">''' Preprocesses the student data and converts non-numeric binary variables into</span>
<span class="sd"> binary (0/1) variables. Converts categorical variables into dummy variables. '''</span>
<span class="c1"># Initialize new output DataFrame</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">index</span> <span class="o">=</span> <span class="n">X</span><span class="o">.</span><span class="n">index</span><span class="p">)</span>
<span class="c1"># Investigate each feature column for the data</span>
<span class="k">for</span> <span class="n">col</span><span class="p">,</span> <span class="n">col_data</span> <span class="ow">in</span> <span class="n">X</span><span class="o">.</span><span class="n">iteritems</span><span class="p">():</span>
<span class="c1"># If data type is non-numeric, replace all yes/no values with 1/0</span>
<span class="k">if</span> <span class="n">col_data</span><span class="o">.</span><span class="n">dtype</span> <span class="o">==</span> <span class="nb">object</span><span class="p">:</span>
<span class="n">col_data</span> <span class="o">=</span> <span class="n">col_data</span><span class="o">.</span><span class="n">replace</span><span class="p">([</span><span class="s1">'yes'</span><span class="p">,</span> <span class="s1">'no'</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">])</span>
<span class="c1"># If data type is categorical, convert to dummy variables</span>
<span class="k">if</span> <span class="n">col_data</span><span class="o">.</span><span class="n">dtype</span> <span class="o">==</span> <span class="nb">object</span><span class="p">:</span>
<span class="c1"># Example: 'school' => 'school_GP' and 'school_MS'</span>
<span class="n">col_data</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">get_dummies</span><span class="p">(</span><span class="n">col_data</span><span class="p">,</span> <span class="n">prefix</span> <span class="o">=</span> <span class="n">col</span><span class="p">)</span>
<span class="c1"># Collect the revised columns</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">output</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">col_data</span><span class="p">)</span>
<span class="k">return</span> <span class="n">output</span>
<span class="n">X_all</span> <span class="o">=</span> <span class="n">preprocess_features</span><span class="p">(</span><span class="n">X_all</span><span class="p">)</span>
<span class="k">print</span> <span class="s2">"Processed feature columns ({} total features):</span><span class="se">\n</span><span class="s2">{}"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">X_all</span><span class="o">.</span><span class="n">columns</span><span class="p">),</span> <span class="nb">list</span><span class="p">(</span><span class="n">X_all</span><span class="o">.</span><span class="n">columns</span><span class="p">))</span>
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<pre>Processed feature columns (48 total features):
['school_GP', 'school_MS', 'sex_F', 'sex_M', 'age', 'address_R', 'address_U', 'famsize_GT3', 'famsize_LE3', 'Pstatus_A', 'Pstatus_T', 'Medu', 'Fedu', 'Mjob_at_home', 'Mjob_health', 'Mjob_other', 'Mjob_services', 'Mjob_teacher', 'Fjob_at_home', 'Fjob_health', 'Fjob_other', 'Fjob_services', 'Fjob_teacher', 'reason_course', 'reason_home', 'reason_other', 'reason_reputation', 'guardian_father', 'guardian_mother', 'guardian_other', 'traveltime', 'studytime', 'failures', 'schoolsup', 'famsup', 'paid', 'activities', 'nursery', 'higher', 'internet', 'romantic', 'famrel', 'freetime', 'goout', 'Dalc', 'Walc', 'health', 'absences']
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<h3 id="Implementation:-Training-and-Testing-Data-Split">Implementation: Training and Testing Data Split<a class="anchor-link" href="#Implementation:-Training-and-Testing-Data-Split">¶</a></h3><p>So far, we have converted all <em>categorical</em> features into numeric values. For the next step, we split the data (both features and corresponding labels) into training and test sets. In the following code cell below, you will need to implement the following:</p>
<ul>
<li>Randomly shuffle and split the data (<code>X_all</code>, <code>y_all</code>) into training and testing subsets.<ul>
<li>Use 300 training points (approximately 75%) and 95 testing points (approximately 25%).</li>
<li>Set a <code>random_state</code> for the function(s) you use, if provided.</li>
<li>Store the results in <code>X_train</code>, <code>X_test</code>, <code>y_train</code>, and <code>y_test</code>.</li>
</ul>
</li>
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<div class=" highlight hl-ipython2"><pre><span class="c1"># Import any additional functionality you may need here</span>
<span class="kn">from</span> <span class="nn">sklearn.cross_validation</span> <span class="kn">import</span> <span class="n">train_test_split</span>
<span class="c1"># Set the number of training points</span>
<span class="n">num_train</span> <span class="o">=</span> <span class="mi">300</span>
<span class="c1"># Set the number of testing points</span>
<span class="n">num_test</span> <span class="o">=</span> <span class="n">X_all</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">num_train</span>
<span class="c1"># Shuffle and split the dataset into the number of training and testing points above</span>
<span class="n">X_train</span><span class="p">,</span> <span class="n">X_test</span><span class="p">,</span> <span class="n">y_train</span><span class="p">,</span> <span class="n">y_test</span> <span class="o">=</span> <span class="n">train_test_split</span><span class="p">(</span><span class="n">X_all</span><span class="p">,</span> <span class="n">y_all</span><span class="p">,</span> <span class="n">stratify</span><span class="o">=</span><span class="n">y_all</span><span class="p">,</span> <span class="n">test_size</span><span class="o">=</span><span class="n">num_test</span><span class="p">,</span> <span class="n">random_state</span><span class="o">=</span><span class="mi">42</span><span class="p">)</span>
<span class="c1"># Show the results of the split</span>
<span class="k">print</span> <span class="s2">"Training set has {} samples."</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">X_train</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
<span class="k">print</span> <span class="s2">"Testing set has {} samples."</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">X_test</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
<span class="k">print</span> <span class="s2">"---"</span>
<span class="c1"># Ensure training and test data both have similar proportions of "yes" and "no" labels using stratify=y_all</span>
<span class="k">print</span> <span class="s2">"Grad rate of train set: {:.2f}%"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="mi">100</span> <span class="o">*</span> <span class="p">(</span><span class="n">y_train</span> <span class="o">==</span> <span class="s1">'yes'</span><span class="p">)</span><span class="o">.</span><span class="n">mean</span><span class="p">())</span>
<span class="k">print</span> <span class="s2">"Grad rate of test set: {:.2f}%"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="mi">100</span> <span class="o">*</span> <span class="p">(</span><span class="n">y_test</span> <span class="o">==</span> <span class="s1">'yes'</span><span class="p">)</span><span class="o">.</span><span class="n">mean</span><span class="p">())</span>
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<pre>Training set has 300 samples.
Testing set has 95 samples.
---
Grad rate of train set: 67.00%
Grad rate of test set: 67.37%
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<h2 id="Training-and-Evaluating-Models">Training and Evaluating Models<a class="anchor-link" href="#Training-and-Evaluating-Models">¶</a></h2><p>In this section, you will choose 3 supervised learning models that are appropriate for this problem and available in <code>scikit-learn</code>. You will first discuss the reasoning behind choosing these three models by considering what you know about the data and each model's strengths and weaknesses. You will then fit the model to varying sizes of training data (100 data points, 200 data points, and 300 data points) and measure the F<sub>1</sub> score. You will need to produce three tables (one for each model) that shows the training set size, training time, prediction time, F<sub>1</sub> score on the training set, and F<sub>1</sub> score on the testing set.</p>
<p><strong>The following supervised learning models are currently available in</strong> <a href="http://scikit-learn.org/stable/supervised_learning.html"><code>scikit-learn</code></a> <strong>that you may choose from:</strong></p>
<ul>
<li>Gaussian Naive Bayes (GaussianNB)</li>
<li>Decision Trees</li>
<li>Ensemble Methods (Bagging, AdaBoost, Random Forest, Gradient Boosting)</li>
<li>K-Nearest Neighbors (KNeighbors)</li>
<li>Stochastic Gradient Descent (SGDC)</li>
<li>Support Vector Machines (SVM)</li>
<li>Logistic Regression</li>
</ul>
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<h3 id="Question-2---Model-Application">Question 2 - Model Application<a class="anchor-link" href="#Question-2---Model-Application">¶</a></h3><p><em>List three supervised learning models that are appropriate for this problem. For each model chosen</em></p>
<ul>
<li>Describe one real-world application in industry where the model can be applied. <em>(You may need to do a small bit of research for this — give references!)</em> </li>
<li>What are the strengths of the model; when does it perform well? </li>
<li>What are the weaknesses of the model; when does it perform poorly?</li>
<li>What makes this model a good candidate for the problem, given what you know about the data?</li>
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<p><strong>Answer: </strong></p>
<p><strong>Random Forest (Decision Trees)</strong></p>
<ul>
<li><em>Real-world application:</em> <ul>
<li>In sports, ranging from predicting player positions on a basketball court to betting on a winning team, can be accomplished with a random forest model the field of predictive analytics for sports. </li>
</ul>
</li>
<li><em>Strengths:</em> <ul>
<li>Random Forests (RF) and Decision Trees (DT) are versatile, easy to implement and easy to interpret outcomes</li>
<li>They are non-parametric so there is no need to determine if data is linearly separable</li>
<li>DTs work well for both classification and regression problems</li>
<li>RFs uses the average of all DT outcomes as its final result reducing the tendency of DTs to overfit datapoints</li>
</ul>
</li>
<li><em>Weaknesses:</em><ul>
<li>Adds some complexity to an otherwise simple DT</li>
<li>Cannot map complex relationships as well as others, such as SVM with non-linear kernal</li>
</ul>
</li>
<li><em>Good candidate:</em> <ul>
<li>Decision trees tend to overfit easily and with limited data, that would be a bigger problem when testing the model. By using a random forest, averaging the final results, this issue should be reduced while also gaining a greater accuracy via averaging results. Also, given the type of data dimensions, i.e. health, guardian, romantic, etc, to predict if a student will pass or fail, it seems unlikely that the data will be linearly separable but since random forest can handle both scenarios, this makes the model a good candidate.</li>
</ul>
</li>
</ul>
<p>References:</p>
<ul>
<li><a href="https://www.disneyresearch.com/publication/detecting-and-tracking-sports-players-with-random-forests-and-context-conditioned-motion-models/">https://www.disneyresearch.com/publication/detecting-and-tracking-sports-players-with-random-forests-and-context-conditioned-motion-models/</a></li>
<li><a href="https://arxiv.org/pdf/1310.3607.pdf">https://arxiv.org/pdf/1310.3607.pdf</a></li>
<li><a href="http://www.simafore.com/blog/bid/112158/Predictive-analytics-in-cricket-from-decision-tree-to-random-forest">http://www.simafore.com/blog/bid/112158/Predictive-analytics-in-cricket-from-decision-tree-to-random-forest</a></li>
</ul>
<p><strong>K-Nearest Neighbours</strong></p>
<ul>
<li><em>Real-world application:</em> <ul>
<li>Medical research and diagnosis, e.g. pattern recognition for cancer cells</li>
</ul>
</li>
<li><em>Strengths:</em> <ul>
<li>kNN is easy to understand</li>
<li>It's a non-parametric and makes no asumption about the distribution of the data</li>
<li>Computational performance is good with a limited number of dimensions/features.</li>
<li>If performance isn't an issue, kNN works better as it gains more data, i.e. large datasets</li>
</ul>
</li>
<li><em>Weaknesses:</em> <ul>
<li>kNN has a performance directly tied to number of features, which means it can easily fall victim from the curse of dimensionality. </li>
<li>kNN treats all attributes with the same importance, i.e. individual attributes/features are each given the same weight</li>
<li>Tends to be slow during predictions as it doesn't learn from training but references training data during testing to predict outcome</li>
</ul>
</li>
<li><em>Good candidate:</em> <ul>
<li>With the data provided, we have no reason to believe individual features are weighted differently and the limited number of dimensions reduces the computational task. Therefore, with the dataset provided, I think kNN is a good candidate particuarly as a baseline reference.</li>
</ul>
</li>
</ul>
<p>References:</p>
<ul>
<li><a href="https://www.researchgate.net/publication/270163293_Application_of_k-Nearest_Neighbour_Classification_in_Medical_Data_Mining">https://www.researchgate.net/publication/270163293_Application_of_k-Nearest_Neighbour_Classification_in_Medical_Data_Mining</a></li>
<li><a href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2243774/">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2243774/</a></li>
<li><a href="http://www.sciencedirect.com/science/article/pii/S2211812815003156">http://www.sciencedirect.com/science/article/pii/S2211812815003156</a></li>
</ul>
<p><strong>SVM</strong></p>
<ul>
<li><em>Real-world application:</em> <ul>
<li>Predictive maintenance or mechanical fault detection is a real world application where the SVM model can be applied. Use of the kernal trick is applied to predict complex relationships in mechinery monitoring and fault diagnosis.</li>
</ul>
</li>
<li><em>Strengths:</em><ul>
<li>SVM is capabable of handling both classification and regression problems</li>
<li>Works well with limited labeled data</li>
<li>It does complex data transformations for you</li>
<li>Can take advantage of linear and non-linear kernals, or a custom kernal built on domain knowledge</li>
</ul>
</li>
<li><em>Weaknesses:</em><ul>
<li>It does complex data transformation for you (pro and con)</li>
<li>SVM tend to be black boxes, explaining what and why of an outcome is hard</li>
</ul>
</li>
<li><em>Good candidate:</em> <ul>
<li>Given the dataset, it is likely that there are complex relationships that may determine if a student requires intervention. These types of complex relationships are easily handled by SVM. The data can also be either linear or non-linearly seperable, both of which SVM is capable of.</li>
</ul>
</li>
</ul>
<p>References:</p>
<ul>
<li><a href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4279508/">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4279508/</a></li>
<li><a href="http://www.sciencedirect.com/science/article/pii/S0360544210003154">http://www.sciencedirect.com/science/article/pii/S0360544210003154</a></li>
<li><a href="http://www.sciencedirect.com/science/article/pii/S2090447915001306">http://www.sciencedirect.com/science/article/pii/S2090447915001306</a></li>
</ul>
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<h3 id="Setup">Setup<a class="anchor-link" href="#Setup">¶</a></h3><p>Run the code cell below to initialize three helper functions which you can use for training and testing the three supervised learning models you've chosen above. The functions are as follows:</p>
<ul>
<li><code>train_classifier</code> - takes as input a classifier and training data and fits the classifier to the data.</li>
<li><code>predict_labels</code> - takes as input a fit classifier, features, and a target labeling and makes predictions using the F<sub>1</sub> score.</li>
<li><code>train_predict</code> - takes as input a classifier, and the training and testing data, and performs <code>train_clasifier</code> and <code>predict_labels</code>.<ul>
<li>This function will report the F<sub>1</sub> score for both the training and testing data separately.</li>
</ul>
</li>
</ul>
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<div class=" highlight hl-ipython2"><pre><span class="k">def</span> <span class="nf">train_classifier</span><span class="p">(</span><span class="n">clf</span><span class="p">,</span> <span class="n">X_train</span><span class="p">,</span> <span class="n">y_train</span><span class="p">):</span>
<span class="sd">''' Fits a classifier to the training data. '''</span>
<span class="c1"># Start the clock, train the classifier, then stop the clock</span>
<span class="n">start</span> <span class="o">=</span> <span class="n">time</span><span class="p">()</span>
<span class="n">clf</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">X_train</span><span class="p">,</span> <span class="n">y_train</span><span class="p">)</span>
<span class="n">end</span> <span class="o">=</span> <span class="n">time</span><span class="p">()</span>
<span class="c1"># Print the results</span>
<span class="k">print</span> <span class="s2">"Trained model in {:.4f} seconds"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">end</span> <span class="o">-</span> <span class="n">start</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">predict_labels</span><span class="p">(</span><span class="n">clf</span><span class="p">,</span> <span class="n">features</span><span class="p">,</span> <span class="n">target</span><span class="p">):</span>
<span class="sd">''' Makes predictions using a fit classifier based on F1 score. '''</span>
<span class="c1"># Start the clock, make predictions, then stop the clock</span>
<span class="n">start</span> <span class="o">=</span> <span class="n">time</span><span class="p">()</span>
<span class="n">y_pred</span> <span class="o">=</span> <span class="n">clf</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">features</span><span class="p">)</span>
<span class="n">end</span> <span class="o">=</span> <span class="n">time</span><span class="p">()</span>
<span class="c1"># Print and return results</span>
<span class="k">print</span> <span class="s2">"Made predictions in {:.4f} seconds."</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">end</span> <span class="o">-</span> <span class="n">start</span><span class="p">)</span>
<span class="k">return</span> <span class="n">f1_score</span><span class="p">(</span><span class="n">target</span><span class="o">.</span><span class="n">values</span><span class="p">,</span> <span class="n">y_pred</span><span class="p">,</span> <span class="n">pos_label</span><span class="o">=</span><span class="s1">'yes'</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">train_predict</span><span class="p">(</span><span class="n">clf</span><span class="p">,</span> <span class="n">X_train</span><span class="p">,</span> <span class="n">y_train</span><span class="p">,</span> <span class="n">X_test</span><span class="p">,</span> <span class="n">y_test</span><span class="p">):</span>
<span class="sd">''' Train and predict using a classifer based on F1 score. '''</span>
<span class="c1"># Indicate the classifier and the training set size</span>
<span class="k">print</span> <span class="s2">"Training a {} using a training set size of {}. . ."</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">clf</span><span class="o">.</span><span class="n">__class__</span><span class="o">.</span><span class="n">__name__</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">X_train</span><span class="p">))</span>
<span class="c1"># Train the classifier</span>
<span class="n">train_classifier</span><span class="p">(</span><span class="n">clf</span><span class="p">,</span> <span class="n">X_train</span><span class="p">,</span> <span class="n">y_train</span><span class="p">)</span>
<span class="c1"># Print the results of prediction for both training and testing</span>
<span class="k">print</span> <span class="s2">"F1 score for training set: {:.4f}."</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">predict_labels</span><span class="p">(</span><span class="n">clf</span><span class="p">,</span> <span class="n">X_train</span><span class="p">,</span> <span class="n">y_train</span><span class="p">))</span>
<span class="k">print</span> <span class="s2">"F1 score for test set: {:.4f}."</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">predict_labels</span><span class="p">(</span><span class="n">clf</span><span class="p">,</span> <span class="n">X_test</span><span class="p">,</span> <span class="n">y_test</span><span class="p">))</span>
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<h3 id="Implementation:-Model-Performance-Metrics">Implementation: Model Performance Metrics<a class="anchor-link" href="#Implementation:-Model-Performance-Metrics">¶</a></h3><p>With the predefined functions above, you will now import the three supervised learning models of your choice and run the <code>train_predict</code> function for each one. Remember that you will need to train and predict on each classifier for three different training set sizes: 100, 200, and 300. Hence, you should expect to have 9 different outputs below — 3 for each model using the varying training set sizes. In the following code cell, you will need to implement the following:</p>
<ul>
<li>Import the three supervised learning models you've discussed in the previous section.</li>
<li>Initialize the three models and store them in <code>clf_A</code>, <code>clf_B</code>, and <code>clf_C</code>.<ul>
<li>Use a <code>random_state</code> for each model you use, if provided.</li>
<li><strong>Note:</strong> Use the default settings for each model — you will tune one specific model in a later section.</li>
</ul>
</li>
<li>Create the different training set sizes to be used to train each model.<ul>
<li><em>Do not reshuffle and resplit the data! The new training points should be drawn from <code>X_train</code> and <code>y_train</code>.</em></li>
</ul>
</li>
<li>Fit each model with each training set size and make predictions on the test set (9 in total).<br>
<strong>Note:</strong> Three tables are provided after the following code cell which can be used to store your results.</li>
</ul>
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<div class=" highlight hl-ipython2"><pre><span class="c1"># Import the three supervised learning models from sklearn</span>
<span class="kn">from</span> <span class="nn">sklearn.ensemble</span> <span class="kn">import</span> <span class="n">RandomForestClassifier</span>
<span class="kn">from</span> <span class="nn">sklearn.svm</span> <span class="kn">import</span> <span class="n">SVC</span>
<span class="kn">from</span> <span class="nn">sklearn.neighbors</span> <span class="kn">import</span> <span class="n">KNeighborsClassifier</span>
<span class="c1"># Initialize random_state</span>
<span class="n">rand_state</span> <span class="o">=</span> <span class="mi">42</span>
<span class="c1"># Initialize the three models</span>
<span class="n">clf_A</span> <span class="o">=</span> <span class="n">RandomForestClassifier</span><span class="p">(</span><span class="n">random_state</span><span class="o">=</span><span class="n">rand_state</span><span class="p">)</span>
<span class="n">clf_B</span> <span class="o">=</span> <span class="n">SVC</span><span class="p">(</span><span class="n">random_state</span><span class="o">=</span><span class="n">rand_state</span><span class="p">)</span>
<span class="n">clf_C</span> <span class="o">=</span> <span class="n">KNeighborsClassifier</span><span class="p">()</span>
<span class="c1"># Set up the training set sizes</span>
<span class="n">X_train_100</span> <span class="o">=</span> <span class="n">X_train</span><span class="p">[:</span><span class="mi">100</span><span class="p">]</span>
<span class="n">y_train_100</span> <span class="o">=</span> <span class="n">y_train</span><span class="p">[:</span><span class="mi">100</span><span class="p">]</span>
<span class="n">X_train_200</span> <span class="o">=</span> <span class="n">X_train</span><span class="p">[:</span><span class="mi">200</span><span class="p">]</span>
<span class="n">y_train_200</span> <span class="o">=</span> <span class="n">y_train</span><span class="p">[:</span><span class="mi">200</span><span class="p">]</span>
<span class="n">X_train_300</span> <span class="o">=</span> <span class="n">X_train</span>
<span class="n">y_train_300</span> <span class="o">=</span> <span class="n">y_train</span>
<span class="c1"># loop through models, then through train sizes</span>
<span class="k">for</span> <span class="n">clf</span> <span class="ow">in</span> <span class="p">[</span><span class="n">clf_A</span><span class="p">,</span> <span class="n">clf_B</span><span class="p">,</span> <span class="n">clf_C</span><span class="p">]:</span>
<span class="c1"># show the estimator type</span>
<span class="k">print</span> <span class="s2">"</span><span class="se">\n</span><span class="s2">{}: </span><span class="se">\n</span><span class="s2">"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">clf</span><span class="o">.</span><span class="n">__class__</span><span class="o">.</span><span class="n">__name__</span><span class="p">)</span>
<span class="c1"># loop through training sizes</span>
<span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="p">[</span><span class="mi">100</span><span class="p">,</span> <span class="mi">200</span><span class="p">,</span> <span class="mi">300</span><span class="p">]:</span>
<span class="c1"># create training data from first 100, then 200, then 300 points</span>
<span class="n">train_predict</span><span class="p">(</span><span class="n">clf</span><span class="p">,</span> <span class="n">X_train</span><span class="p">[:</span><span class="n">n</span><span class="p">],</span> <span class="n">y_train</span><span class="p">[:</span><span class="n">n</span><span class="p">],</span> <span class="n">X_test</span><span class="p">,</span> <span class="n">y_test</span><span class="p">)</span>
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<pre>
RandomForestClassifier:
Training a RandomForestClassifier using a training set size of 100. . .
Trained model in 0.0361 seconds
Made predictions in 0.0015 seconds.
F1 score for training set: 0.9924.
Made predictions in 0.0018 seconds.
F1 score for test set: 0.7368.
Training a RandomForestClassifier using a training set size of 200. . .
Trained model in 0.0300 seconds
Made predictions in 0.0043 seconds.
F1 score for training set: 0.9885.
Made predictions in 0.0017 seconds.
F1 score for test set: 0.6822.
Training a RandomForestClassifier using a training set size of 300. . .
Trained model in 0.0305 seconds
Made predictions in 0.0022 seconds.
F1 score for training set: 0.9975.
Made predictions in 0.0011 seconds.
F1 score for test set: 0.7132.
SVC:
Training a SVC using a training set size of 100. . .
Trained model in 0.0012 seconds
Made predictions in 0.0008 seconds.
F1 score for training set: 0.8354.
Made predictions in 0.0009 seconds.
F1 score for test set: 0.8025.
Training a SVC using a training set size of 200. . .
Trained model in 0.0040 seconds
Made predictions in 0.0037 seconds.
F1 score for training set: 0.8431.
Made predictions in 0.0025 seconds.
F1 score for test set: 0.8105.
Training a SVC using a training set size of 300. . .
Trained model in 0.0099 seconds
Made predictions in 0.0062 seconds.
F1 score for training set: 0.8664.
Made predictions in 0.0018 seconds.
F1 score for test set: 0.8052.
KNeighborsClassifier:
Training a KNeighborsClassifier using a training set size of 100. . .
Trained model in 0.0008 seconds
Made predictions in 0.0021 seconds.
F1 score for training set: 0.8252.
Made predictions in 0.0020 seconds.
F1 score for test set: 0.7586.
Training a KNeighborsClassifier using a training set size of 200. . .
Trained model in 0.0012 seconds
Made predictions in 0.0087 seconds.
F1 score for training set: 0.8097.
Made predictions in 0.0026 seconds.
F1 score for test set: 0.7857.
Training a KNeighborsClassifier using a training set size of 300. . .
Trained model in 0.0013 seconds
Made predictions in 0.0073 seconds.
F1 score for training set: 0.8539.
Made predictions in 0.0076 seconds.
F1 score for test set: 0.8138.
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<h3 id="Tabular-Results">Tabular Results<a class="anchor-link" href="#Tabular-Results">¶</a></h3>
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<p><strong> Classifer 1 - Random Forest</strong></p>
<table>
<thead><tr>
<th style="text-align:center">Training Set Size</th>
<th style="text-align:center">Training Time</th>
<th style="text-align:center">Prediction Time (test)</th>
<th style="text-align:center">F1 Score (train)</th>
<th style="text-align:center">F1 Score (test)</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">100</td>
<td style="text-align:center">0.0361</td>
<td style="text-align:center">0.0018</td>
<td style="text-align:center">0.9924</td>
<td style="text-align:center">0.7368</td>
</tr>
<tr>
<td style="text-align:center">200</td>
<td style="text-align:center">0.0300</td>
<td style="text-align:center">0.0017</td>
<td style="text-align:center">0.9885</td>
<td style="text-align:center">0.6822</td>
</tr>
<tr>
<td style="text-align:center">300</td>
<td style="text-align:center">0.0305</td>
<td style="text-align:center">0.0011</td>
<td style="text-align:center">0.9975</td>
<td style="text-align:center">0.7132</td>
</tr>
</tbody>
</table>
<p><strong> Classifer 2 - SVC</strong></p>
<table>
<thead><tr>
<th style="text-align:center">Training Set Size</th>
<th style="text-align:center">Training Time</th>
<th style="text-align:center">Prediction Time (test)</th>
<th style="text-align:center">F1 Score (train)</th>
<th style="text-align:center">F1 Score (test)</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">100</td>
<td style="text-align:center">0.0012</td>
<td style="text-align:center">0.0009</td>
<td style="text-align:center">0.8354</td>
<td style="text-align:center">0.8025</td>
</tr>
<tr>
<td style="text-align:center">200</td>
<td style="text-align:center">0.0040</td>
<td style="text-align:center">0.0025</td>
<td style="text-align:center">0.8431</td>
<td style="text-align:center">0.8105</td>
</tr>
<tr>
<td style="text-align:center">300</td>
<td style="text-align:center">0.0099</td>
<td style="text-align:center">0.0018</td>
<td style="text-align:center">0.8664</td>
<td style="text-align:center">0.8052</td>
</tr>
</tbody>
</table>
<p><strong> Classifer 3 - kNN</strong></p>
<table>
<thead><tr>
<th style="text-align:center">Training Set Size</th>
<th style="text-align:center">Training Time</th>
<th style="text-align:center">Prediction Time (test)</th>
<th style="text-align:center">F1 Score (train)</th>
<th style="text-align:center">F1 Score (test)</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">100</td>
<td style="text-align:center">0.0008</td>
<td style="text-align:center">0.0020</td>
<td style="text-align:center">0.8252</td>
<td style="text-align:center">0.7586</td>
</tr>
<tr>
<td style="text-align:center">200</td>
<td style="text-align:center">0.0012</td>
<td style="text-align:center">0.0026</td>
<td style="text-align:center">0.8097</td>
<td style="text-align:center">0.7857</td>
</tr>
<tr>
<td style="text-align:center">300</td>