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"# Exercise Sheet No. 4\n",
"\n",
"---\n",
"\n",
"> Machine Learning for Natural Sciences, Summer 2024, Jun.-Prof. Pascal Friederich\n",
"> \n",
"> Deadline: Monday 13.05.2024, 8:00 am\n",
">\n",
"> Tutor: houssam.metni@kit.edu\n",
">\n",
"> **Please ask questions in the forum/discussion board and only contact the Tutor when there are issues with the grading**\n",
"\n",
"\n",
"---\n",
"\n",
"**Topic**: \n",
"This exercise sheet (30 points in total) will focus on the math basics for ML. You will implement another simple ML algorithm, **linear regression** (LR), instead of decision tree to work on the same task you have already seen in exercise 02. **Gradient descent**, **mean square error loss function**, and **mean absolute error function** are covered in this exercise. And you will learn to use **ridge regression** to control overfitting."
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"Please add here your group members' names and student IDs. \n",
"\n",
"You are encouraged to work in groups of a maximum of 3 people, however **each of you** has to submit a solution.\n",
"\n",
"Names: Nils Lennart Bruns\n",
"\n",
"IDs: usxfs"
]
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"source": [
"# Linear Regression\n",
"In assignment 2, we have seen the use of decision tree for iris species classification. Now, let's try to solve the same problem with another simple machine learning technique: linear regression (LR). \n",
"\n",
"As you may have already learned from the lecture, linear regression uses a linear combination of features to predict a target. In our case we can use a linear combination of the four flower descriptors to predict the species.\n",
"\n",
"In this assignment, you will learn to implement the Loss function and Gradient Descent for optimization. Then, we will see that even small model like LR can overfit, and how regularization (ridge regression) can help against this problem."
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"##### DO NOT CHANGE #####\n",
"\n",
"# package imports\n",
"\n",
"import sys\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"import warnings\n",
"import random\n",
"from functools import wraps\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"##### DO NOT CHANGE #####"
]
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"source": [
"## Preprocessing\n",
"Let's start with preprocessing the dataset, as already learned from assignment 2."
]
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"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"#preprocessing functions\n",
"\n",
"def log_name(func):\n",
" @wraps(func)\n",
" def wrapper(*args, **kwargs):\n",
" result = func(*args, **kwargs)\n",
" print(f\"\\n{func.__name__}:\")\n",
" return result\n",
" return wrapper\n",
"\n",
"def log_shape(func):\n",
" @wraps(func)\n",
" def wrapper(*args, **kwargs):\n",
" result = func(*args, **kwargs)\n",
" print(f\"\\tshape: {result.shape}\")\n",
" return result\n",
" return wrapper\n",
"\n",
"def log_columns(func):\n",
" @wraps(func)\n",
" def wrapper(*args, **kwargs):\n",
" result = func(*args, **kwargs)\n",
" print(f\"\\tcolumns: {result.columns.values}\")\n",
" return result\n",
" return wrapper\n",
"\n",
"@log_columns\n",
"@log_shape\n",
"@log_name\n",
"def load(df, path):\n",
" \"\"\"Loads the dataset from path.\"\"\"\n",
" df = pd.read_csv(path)\n",
" return df\n",
"\n",
"@log_columns\n",
"@log_shape\n",
"@log_name\n",
"def remove_nan(df):\n",
" for col in df.columns:\n",
" df = df[df[col].notna()]\n",
" return df\n",
"\n",
"@log_columns\n",
"@log_shape\n",
"@log_name\n",
"def convert_to_categorical(df, col_name: str):\n",
" df[col_name] = df[col_name].astype('category')\n",
" return df\n",
"\n",
"@log_columns\n",
"@log_shape\n",
"@log_name\n",
"def add_class_labels(df, target):\n",
" df['class'] = df[target].cat.codes\n",
" return df\n",
"\n",
"##### DO NOT CHANGE #####"
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"source": [
"In the first part of this tutorial, we will be working with a penguins dataset, containing a list of physical characteristics of several studied penguins, along with their biological sex (Male/Female), which will be our target variable to predict.\n",
"\n",
" "
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"text": [
"\n",
"load:\n",
"\tshape: (343, 7)\n",
"\tcolumns: ['species' 'island' 'culmen_length_mm' 'culmen_depth_mm'\n",
" 'flipper_length_mm' 'body_mass_g' 'sex']\n",
"\n",
"remove_nan:\n",
"\tshape: (333, 7)\n",
"\tcolumns: ['species' 'island' 'culmen_length_mm' 'culmen_depth_mm'\n",
" 'flipper_length_mm' 'body_mass_g' 'sex']\n",
"\n",
"convert_to_categorical:\n",
"\tshape: (333, 7)\n",
"\tcolumns: ['species' 'island' 'culmen_length_mm' 'culmen_depth_mm'\n",
" 'flipper_length_mm' 'body_mass_g' 'sex']\n",
"\n",
"add_class_labels:\n",
"\tshape: (333, 8)\n",
"\tcolumns: ['species' 'island' 'culmen_length_mm' 'culmen_depth_mm'\n",
" 'flipper_length_mm' 'body_mass_g' 'sex' 'class']\n"
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"\n",
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" \n",
" \n",
" \n",
" species \n",
" island \n",
" culmen_length_mm \n",
" culmen_depth_mm \n",
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" species island culmen_length_mm culmen_depth_mm flipper_length_mm \\\n",
"0 Adelie Torgersen 39.1 18.7 181.0 \n",
"1 Adelie Torgersen 39.5 17.4 186.0 \n",
"2 Adelie Torgersen 40.3 18.0 195.0 \n",
"4 Adelie Torgersen 36.7 19.3 193.0 \n",
"5 Adelie Torgersen 39.3 20.6 190.0 \n",
"\n",
" body_mass_g sex class \n",
"0 3750.0 MALE 1 \n",
"1 3800.0 FEMALE 0 \n",
"2 3250.0 FEMALE 0 \n",
"4 3450.0 FEMALE 0 \n",
"5 3650.0 MALE 1 "
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"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"import requests\n",
"\n",
"url = 'https://bwsyncandshare.kit.edu/s/Nfi5CZkNEScCsq8/download'\n",
"response: str = requests.get(url).content.decode('utf-8')\n",
"with open('penguins.csv', 'w') as file:\n",
" file.write(response)\n",
"\n",
"# reading and preprocessing\n",
"\n",
"df = pd.DataFrame()\n",
"df = (\n",
" df.pipe(load, 'penguins.csv')\n",
" .pipe(remove_nan)\n",
" .pipe(convert_to_categorical, 'sex')\n",
" .pipe(add_class_labels, 'sex')\n",
")\n",
"\n",
"df.head()\n",
"\n",
"##### DO NOT CHANGE #####"
]
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"source": [
"## Plot the data\n",
"It is always a good practice to have some inspection on the dataset. This provides us with information about the data such as its structure, range, outliers etc., which may help on the design of ML algorithm. There are numerous ways to visualize data, and introduced here is a histogram visualization. This can be implemented easily with the [seaborn](https://seaborn.pydata.org/generated/seaborn.histplot.html) library. Here we used it to show the distribution of the features, distinguished by the target variable. "
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# visualizing the data\n",
"\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"\n",
"numeric_columns = ['culmen_length_mm', 'culmen_depth_mm', 'flipper_length_mm', 'body_mass_g']\n",
"\n",
"fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(8, 6))\n",
"\n",
"# Plot distribution plots for each numeric column, colored by 'sex'\n",
"for i, column in enumerate(numeric_columns):\n",
" row = i // 2\n",
" col = i % 2\n",
" sns.histplot(df, x=column, hue='sex', element=\"step\", ax=axes[row, col])\n",
" axes[row, col].set_xlabel(column)\n",
" axes[row, col].set_ylabel('Density')\n",
" axes[row, col].legend(labels=['Male', 'Female'], fontsize=10)\n",
" legend = axes[row, col].legend(labels=['Male', 'Female'], fontsize=10)\n",
"\n",
"# Adjust layout\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "616b7a22a509e4ae8a83269fae98f786",
"grade": false,
"grade_id": "cell-a15f04d80b80c983",
"locked": true,
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}
},
"source": [
"**Question**: in a few features from the histogram above, there seems to be a bimodal distribution for each category (Male/Female). Which of the following reasons can explain this?\n",
"\n",
"**1.** there are multiple species in the dataset (some species may be bigger than others) \n",
"\n",
"**2.** the data was collected in different islands (and therefore, there may be different species in each island)\n",
"\n",
"**3.** both of the above can be reasons for this\n",
"\n",
"**4.** the bimodal tendency is purely coincidental\n",
"\n",
"\n",
"Assign the number of your choice to the variable `A`. It should be an integer value."
]
},
{
"cell_type": "code",
"execution_count": 375,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "e086a06d73b5389193799b38378e2fcf",
"grade": false,
"grade_id": "Histogram-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 1: select the correct choice. (1 point in total)\n",
"\n",
"A = 3"
]
},
{
"cell_type": "code",
"execution_count": 376,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "6675d98774d0e64e28cc741bee1a601b",
"grade": true,
"grade_id": "Histogram-test",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"assert type(A) == int # Please make sure your input is an int.\n",
"\n",
"# Hidden test below\n",
"# 1 point for correct answer\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "8ee2dbc9292adbbef2390b9936b2f0a4",
"grade": false,
"grade_id": "cell-ebcde626c67fdc9b",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"## Separate features from the target\n",
"Now, for our machine learning task, let's extract feature matrix `X` and label matrix `Y` from the dataframe `df`. Please implement the `split_X_Y` function that returns feature `X` as a $333 \\times 4$ numpy array, as well as label `Y` as a $333 \\times 1$ numpy array. `X` should contain values from columns 'culmen_length_mm','culmen_depth_mm','flipper_length_mm' and 'body_mass_g' (**Please make sure to follow this order for grading purpose, or use the above-defined variable `numeric_columns`**). `Y` should be the value of column \"class\". You may use methods such as `.reshape()` to reshape an array, and attributes like `.values` to access values in columns of the data frame."
]
},
{
"cell_type": "code",
"execution_count": 377,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "f93f9fea65ede2b0454d2edac675315d",
"grade": false,
"grade_id": "Train_Test_Split-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 2: Implement split_X_Y. (2 points in total)\n",
"\n",
"def split_X_Y(df):\n",
" \"\"\"\n",
" split the dataframe into feature matrix X and label matrix Y\n",
" \n",
" Args:\n",
" df (pandas.DataFrame): shape (333, 6)\n",
" \n",
" Returns:\n",
" X (numpy.ndarray): array containing values of 4 features of the dataframe. Shape (333, 4) \n",
" Y (numpy.ndarray): array containing target value in the column \"class\". Shape (333, 1)\n",
" \"\"\"\n",
" X = None # please update this in your solution\n",
" Y = None # please update this in your solution\n",
" \n",
" X = df[numeric_columns].values\n",
" Y = df[\"class\"].values.reshape((333,1))\n",
" \n",
" return X, Y"
]
},
{
"cell_type": "code",
"execution_count": 378,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "b444109dbdb6aad5e88aa7d3a26e25da",
"grade": true,
"grade_id": "Train_Test_Split-test_1",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# feature/target split\n",
"X, Y = split_X_Y(df)\n",
"\n",
"# 1 point for correct shape of X and Y\n",
"assert X.shape == (333, 4)\n",
"assert Y.shape == (333, 1)\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 379,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "74e77f9e6795e04284be55da98c3d67b",
"grade": true,
"grade_id": "Train_Test_Split-test_2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# Hidden test below\n",
"# 2 points: values in X and Y are checked\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "7d02b5b63fd7bc759dac1cfb11ee1d6c",
"grade": false,
"grade_id": "cell-af56efe9d9027cdf",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"We have learned that the linear model tries to fit the function:\n",
"\\begin{align}\n",
"y = \\omega^T x + \\omega_0 = \\sum^n_{i=1} \\omega_i x_i + \\omega_0\n",
"\\end{align}\n",
"Where $\\omega$ is the weight matrix and $\\omega_0$ is the bias term. Let $x_0 = 1$, this function can be rewritten into:\n",
"\\begin{align}\n",
"y = \\sum^n_{i=1} \\omega_i x_i + \\omega_0 x_0 = \\sum^n_{i=0} \\omega_i x_i = X \\Omega^T\n",
"\\end{align}\n",
"$\\Omega$ can be initialized randomly, and optimized later through training. In our case $\\Omega$ has five elements - the first one for the bias and rest four for the weights of the four features.\n",
"\n",
"**Please note that $\\Omega$ is written as a row vector in many text books for display convenience and is actually a column vector during implementation. That's why we have $\\Omega^T$ in the equation to denote the convertion. Here we use `numpy.T` to make our code and equation consistent.**"
]
},
{
"cell_type": "code",
"execution_count": 380,
"metadata": {
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"text/plain": [
"array([[1.76405235],\n",
" [0.40015721],\n",
" [0.97873798],\n",
" [2.2408932 ],\n",
" [1.86755799]])"
]
},
"execution_count": 380,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# random initialization for weights and bias\n",
"np.random.seed(0)\n",
"omega = np.random.randn(1,5)\n",
"omegaT = omega.T\n",
"omegaT\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
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"source": [
"## Generate training/validation/test sets\n",
"\n",
"Firstly, let's do a train-valid split for our dataset, as we have already seen in Assignment 2. Just to refresh your memory, training set is used for training to improve our model performance, while validation set tests the model with unseen data (recall from the lecture that they should be drawn from the same distribution). Testing our model with validation set is crucial especially when we want to know the generalization ability of the model.\n",
"\n",
"The `x_train` and `y_train` will be our training set, and `x_val`, `y_val` will be our validation set. This time, we are adding a third set, that we call the test set, consisting of `x_test` and `y_test`. Adding this last test set is optional, as it can be counted towards the validation set. However, it is of common practice to add a test set (separate from the validation set that we visualize during training) as a final test of our model. You will see more details later in the Overfitting & Ridge regression section."
]
},
{
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"metadata": {
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"source": [
"Here we randomly shuffle the dataset and take $200$ (about $60\\%$) data points as training set. We use $100$ points for validation (about $30\\%$), and the rest $33$ ( about $10\\%$) are used as a final test set. There's also a useful method `sklearn.model_selection.train_test_split()` from scikit-learn for the same purpose (for splitting into a train and validation set, the latter of which can be further divided to have a validation and a final test set). You can find its documentation [here](https://scikit-learn.org/stable/modules/generated/sklearn.model_selection.train_test_split.html)."
]
},
{
"cell_type": "code",
"execution_count": 381,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "5b80873a3de26f1279d8cd99cbf42a64",
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},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# train-val-test splitting\n",
"\n",
"idx = list(range(0, 333))\n",
"\n",
"train_size = 200\n",
"val_size = 100\n",
"test_size = 333 - (train_size+val_size)\n",
"random.shuffle(idx)\n",
"\n",
"x_train = X[idx[:train_size]]\n",
"y_train = Y[idx[:train_size]]\n",
"x_val = X[idx[train_size:train_size+val_size]]\n",
"y_val = Y[idx[train_size:train_size+val_size]]\n",
"x_test = X[idx[train_size+val_size:]]\n",
"y_test = Y[idx[train_size+val_size:]]\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
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},
"source": [
"Before we move on to the training, let us have a look at the dataset one more time ..."
]
},
{
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"metadata": {
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"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" culmen_length_mm \n",
" culmen_depth_mm \n",
" flipper_length_mm \n",
" body_mass_g \n",
" class \n",
" \n",
" \n",
" \n",
" \n",
" count \n",
" 333.000000 \n",
" 333.000000 \n",
" 333.000000 \n",
" 333.000000 \n",
" 333.000000 \n",
" \n",
" \n",
" mean \n",
" 43.992793 \n",
" 17.164865 \n",
" 200.966967 \n",
" 4207.057057 \n",
" 0.504505 \n",
" \n",
" \n",
" std \n",
" 5.468668 \n",
" 1.969235 \n",
" 14.015765 \n",
" 805.215802 \n",
" 0.500732 \n",
" \n",
" \n",
" min \n",
" 32.100000 \n",
" 13.100000 \n",
" 172.000000 \n",
" 2700.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" 25% \n",
" 39.500000 \n",
" 15.600000 \n",
" 190.000000 \n",
" 3550.000000 \n",
" 0.000000 \n",
" \n",
" \n",
" 50% \n",
" 44.500000 \n",
" 17.300000 \n",
" 197.000000 \n",
" 4050.000000 \n",
" 1.000000 \n",
" \n",
" \n",
" 75% \n",
" 48.600000 \n",
" 18.700000 \n",
" 213.000000 \n",
" 4775.000000 \n",
" 1.000000 \n",
" \n",
" \n",
" max \n",
" 59.600000 \n",
" 21.500000 \n",
" 231.000000 \n",
" 6300.000000 \n",
" 1.000000 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" culmen_length_mm culmen_depth_mm flipper_length_mm body_mass_g \\\n",
"count 333.000000 333.000000 333.000000 333.000000 \n",
"mean 43.992793 17.164865 200.966967 4207.057057 \n",
"std 5.468668 1.969235 14.015765 805.215802 \n",
"min 32.100000 13.100000 172.000000 2700.000000 \n",
"25% 39.500000 15.600000 190.000000 3550.000000 \n",
"50% 44.500000 17.300000 197.000000 4050.000000 \n",
"75% 48.600000 18.700000 213.000000 4775.000000 \n",
"max 59.600000 21.500000 231.000000 6300.000000 \n",
"\n",
" class \n",
"count 333.000000 \n",
"mean 0.504505 \n",
"std 0.500732 \n",
"min 0.000000 \n",
"25% 0.000000 \n",
"50% 1.000000 \n",
"75% 1.000000 \n",
"max 1.000000 "
]
},
"execution_count": 382,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# get statistics of all columns in the dataset\n",
"\n",
"df.describe()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
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"metadata": {
"deletable": false,
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"source": [
"We notice that the order of magnitude of the values in some columns can be very different with respect to those in another column. For example, `culmen_depth_mm` is between $13.1$ and $21.5$ millimeters, while the `body_mass_g` goes from $2700$ to $6300$ grams.\n",
"\n",
"The difference in orders of magnitude between feature values can lead to problems when training a machine learning model, and the solution for this is to use some type of scaling before training. This would leave us with values between $0$ and $1$ for all features, leading to more stable training (we can then easily switch back to the unscaled data). For example, Min-Max scaling which is achieved using the following formula :\n",
"$ X_{\\text{scaled}} = \\frac{X - X_{\\text{min}}}{X_{\\text{max}} - X_{\\text{min}}}$, with $X$ the array to scale and $X_{\\text{min}}$ and $X_{\\text{max}}$ the arrays of minimum and maximum values respectively across each column. This type of scaling is also implementable using scikit-learn : https://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.MinMaxScaler.html. \n",
"\n",
"Read more about the importance of scaling here : https://scikit-learn.org/stable/auto_examples/preprocessing/plot_scaling_importance.html. Feel free to also explore scikit-learn documentation for other types of scaling."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
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"source": [
"Now, your task is to scale the data using a Min-Max Scaler, based on the formula above. You can easily access the minimum and maximum values across each column using `x.min(axis=0)` or `x.max(axis=0)` for an array `x`."
]
},
{
"cell_type": "code",
"execution_count": 383,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
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"source": [
"# Task 3: Scale the data using a min-max scaling. (2 points in total)\n",
"\n",
"scaled_x_train = None\n",
"scaled_x_val = None\n",
"scaled_x_test = None\n",
"\n",
"def scale(arr):\n",
" return (arr - np.min(arr, axis=0))/(np.max(arr, axis=0) - np.min(arr, axis=0))\n",
"\n",
"scaled_x_train = scale(x_train)\n",
"scaled_x_val = scale(x_val)\n",
"scaled_x_test = scale(x_test)"
]
},
{
"cell_type": "code",
"execution_count": 384,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "d02ebb4c1ebc525c8fccd3ac3d36d680",
"grade": true,
"grade_id": "Scaling-test",
"locked": true,
"points": 1,
"schema_version": 3,
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},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point : check if the resulting arrays have the same shape\n",
"assert scaled_x_train.shape == x_train.shape\n",
"assert scaled_x_val.shape == x_val.shape\n",
"assert scaled_x_test.shape == x_test.shape\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 385,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "6bffe421acec3ab9e46a7ec20f82c0f1",
"grade": true,
"grade_id": "Scaling-test2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
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},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point: Check if data has been scaled (values should be between 0 and 1)\n",
"assert (scaled_x_train >= 0).all() and (scaled_x_train <= 1).all()\n",
"assert (scaled_x_val >= 0).all() and (scaled_x_val <= 1).all()\n",
"assert (scaled_x_test >= 0).all() and (scaled_x_test <= 1).all()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 386,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "607346eeb0223a6fe09003982bb476a0",
"grade": false,
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"locked": true,
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},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# renaming variables for simplicity\n",
"\n",
"x_train = scaled_x_train\n",
"x_val = scaled_x_val\n",
"x_test = scaled_x_test\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "25d5dfd860ab9d0f16281138e0036d40",
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},
"source": [
"## Gradient Descent\n",
"For more complex tasks, a closed form solution often doesn't exist and hence we will introduce another approach here, aka Gradient Descent (GD) algorithm, to solve the linear regression. Gradient Descent works by updating the weight vector incrementally after each epoch. Read more [here](https://developers.google.com/machine-learning/crash-course/reducing-loss/gradient-descent)."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "b2a4f117762ddd3917ffd29c004cdc95",
"grade": false,
"grade_id": "cell-75bfd7154053f864",
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},
"source": [
"Now let's contract $x_0 = 1$ to our feature matrices `x_train` to obtain the input matrix for LR model. Please do that by stacking a new column to `x_train` as the first colunm with all values equal to $1$. This may be easily implemented with the numpy method `.hstack()` . You may find more details [here](https://numpy.org/doc/stable/reference/generated/numpy.hstack.html).\n",
"\n",
"Also do the same for `x_val` and `x_test`.\n",
"\n",
"You can also use the variables `train_size`, `val_size` and `test_size` defined earlier for the dimensions of your array."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "ce376689dff772ce6037f0b200f48210",
"grade": false,
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"locked": true,
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},
"source": [
"In case you are interested, there's a \"closed-form solution\" that estimates the best parameter set $\\Omega^*$ by solving the equation:\n",
"\\begin{align}\n",
"\\Omega^* = (X^TX)^{-1}X^Ty\n",
"\\end{align}\n",
"Watch this [video](https://www.coursera.org/lecture/ml-regression/approach-1-closed-form-solution-G9oBu) from coursera for detailed explanation."
]
},
{
"cell_type": "code",
"execution_count": 387,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "e8d62e364a8612877710275f4bd139d5",
"grade": false,
"grade_id": "Add_bias_term_to_X-answer",
"locked": false,
"schema_version": 3,
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},
"outputs": [],
"source": [
"# Task 4: stack to x_train, x_val and x_test a new column with value 1. (2 points in total)\n",
"\n",
"# Update feature matrix x_train with x0 = 1\n",
"x_train = np.hstack((np.ones((train_size,1)), scaled_x_train))\n",
"\n",
"# Update feature matrix x_val with x0 = 1\n",
"x_val = np.hstack((np.ones((val_size,1)), scaled_x_val))\n",
"\n",
"# Update feature matrix x_test with x0 = 1\n",
"x_test = np.hstack((np.ones((test_size,1)), scaled_x_test))\n"
]
},
{
"cell_type": "code",
"execution_count": 388,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "83042f4b9dc32dfbc69b0750d25e8340",
"grade": true,
"grade_id": "Add_bias_term_to_X-test_1",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
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},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point for correct shape of x_train after stacking\n",
"\n",
"# now the shape of x_train should change from (train_size, 4) to (train_size, 5)\n",
"assert x_train.shape == (train_size, 5) \n",
"\n",
"# now the shape of x_val should change from (val_size, 4) to (val_size, 5)\n",
"assert x_val.shape == (val_size, 5) \n",
"\n",
"# now the shape of x_test should change from (test_size, 4) to (test_size, 5)\n",
"assert x_test.shape == (test_size, 5) \n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 389,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "eb4a68922c792cf7d340b85c808077cb",
"grade": true,
"grade_id": "Add_bias_term_to_X-test_2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point: values in X are checked\n",
"assert (x_train[:, 0] == 1).all()\n",
"assert (x_val[:, 0] == 1).all()\n",
"assert (x_test[:, 0] == 1).all()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
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},
"source": [
"### Cost function\n",
"The mean squared error (mse) is a common loss function that measures the average squared difference between predict and real values. Here, it is defined as:\n",
"\\begin{align}\n",
"MSE = \\frac{1}{2n}\\sum^n_{i=1}(\\text{y_pred}_i - \\text{y_real}_i)^2\n",
"\\end{align}\n",
"The $\\frac{1}{2}$ in equation is just for convenience when computing the gradient (see next step). Recall that $y = X \\Omega^T$, so we have:\n",
"\\begin{align}\n",
"MSE = \\frac{1}{2n}\\sum^n_{i=1}(x_i \\Omega^T - \\text{y_real}_i)^2\n",
"\\end{align}\n",
"Please implement the `mean_square_error()` that returns MSE. Methods/attribute you may need are `numpy.sum()` and `numpy.dot()`."
]
},
{
"cell_type": "code",
"execution_count": 390,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "98873637b017208d4201209619ef5f71",
"grade": false,
"grade_id": "MSE-answer",
"locked": false,
"schema_version": 3,
"solution": true,
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},
"outputs": [],
"source": [
"# Task 5: implement MSE function. (2 points in total)\n",
"\n",
"def mean_square_error(x, y, omegaT):\n",
" \"\"\"\n",
" return the mean squared error.\n",
" \n",
" Args:\n",
" x (numpy.ndarray): numpy array of features (n data points, m features). Shape (n, m)\n",
" y (numpy.ndarray): numpy array of corresponding targets. Shape (n, 1)\n",
" omegaT (numpy.ndarray): weight vector (transposed). Shape (m, 1)\n",
" \n",
" Returns:\n",
" mse (numpy.float64 or float): mean squared error.\n",
" \"\"\"\n",
" mse = None # please update this in your solution\n",
" \n",
" mse = 0.5*np.sum((np.dot(omegaT.T, x.T) - y.T)**2)/y.shape[0]\n",
" \n",
" return mse"
]
},
{
"cell_type": "code",
"execution_count": 391,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "2484a2406e271b051433fbbc93f0292e",
"grade": true,
"grade_id": "MSE-test_1",
"locked": true,
"points": 1,
"schema_version": 3,
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},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point: a simple test to check if your mse function works\n",
"a = np.array([[1.0, 2.0], [2.0, 2.0]])\n",
"b = np.array([[1.0], [2.0]])\n",
"w = np.array([[1.0, 1.0]]).T\n",
"result = mean_square_error(a, b, w)\n",
"assert result - 2.0 <= 0.01\n",
"assert type(result) == np.float64 or type(result) == float\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 392,
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"checksum": "49de407807de736a7cbe2c3d04ee985a",
"grade": true,
"grade_id": "MSE-test_2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# Hidden test below\n",
"# 1 point: further tests to check the output of the mse function\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "6b14178b88f6ed7dcd531ef5c213aff6",
"grade": false,
"grade_id": "cell-0c61b6eda0caba8e",
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"source": [
"After each epoch $t$, the Gradient Descent algorithm updates the weight vector in the direction of the negative gradient in order to reduce the cost function. The gradient is simply the partial derivative of mean squared error to the weight.\n",
"\n",
"You can deduce the derivative yourself for practice. Just run the following cell to render the answer:"
]
},
{
"cell_type": "code",
"execution_count": 393,
"metadata": {},
"outputs": [
{
"data": {
"text/markdown": [
"\\begin{align}\\frac{\\partial MSE}{\\partial \\Omega^T} &= \\frac{1}{n} \\sum^n_{i=0}(x_i \\Omega^T - \\text{y_real}_i) x_i^T \\\\\\Omega^T(t+1) &= \\Omega^T(t) - \\alpha \\frac{\\partial MSE}{\\partial \\Omega^T(t)}= \\Omega^T(t) - \\frac{\\alpha}{n} \\sum^n_{i=0}(x_i \\Omega^T - \\text{y_real}_i) x_i^T\\end{align}"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from IPython.display import display, Markdown\n",
"\n",
"display(Markdown(\"\\\\begin{align}\"\n",
" \"\\\\frac{\\\\partial MSE}{\\\\partial \\\\Omega^T} &= \"\n",
" \"\\\\frac{1}{n} \\\\sum^n_{i=0}(x_i \\\\Omega^T - \\\\text{y_real}_i) x_i^T \\\\\\\\\"\n",
" \"\\\\Omega^T(t+1) &= \\\\Omega^T(t) - \\\\alpha \\\\frac{\\\\partial MSE}{\\\\partial \\\\Omega^T(t)}\"\n",
" \"= \\\\Omega^T(t) - \\\\frac{\\\\alpha}{n} \\\\sum^n_{i=0}(x_i \\\\Omega^T - \\\\text{y_real}_i) x_i^T\"\n",
" \"\\\\end{align}\"))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "2a47eb5d06296ce22aff6e1e7b74e134",
"grade": false,
"grade_id": "cell-3b243d3fd3dba44a",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"The $\\alpha$ is the learning rate that controls the step size for the update after each iteration.\n",
"\n",
"Please implement the `weight_update_function()` that returns updated $\\Omega^T$. Methods/attribute you may need are `numpy.dot()` and `numpy.reshape()`."
]
},
{
"cell_type": "code",
"execution_count": 461,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "9219ed2298b54356ef08639fe19208e2",
"grade": false,
"grade_id": "Gradient_Descent-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 6: implement weight update function. (2 points in total)\n",
"\n",
"def weight_update_function(x, y, omegaT, alpha):\n",
" \"\"\"\n",
" return updated set of weights\n",
" \n",
" Args:\n",
" x (numpy.ndarray): numpy array of features (n data points, m features). Shape (n, m)\n",
" y (numpy.ndarray): numpy array of corresponding targets. Shape (n, 1)\n",
" omegaT (numpy.ndarray): weight vector (transposed). Shape (m, 1)\n",
" alpha (float): learning rate.\n",
" \n",
" Returns:\n",
" omega_updated (numpy.ndarray): the updated weight vector. Shape (m, 1)\n",
" \"\"\"\n",
" omega_updated = None # please update this in your solution\n",
"\n",
" #print(1/y.shape[0] * np.sum((np.expand_dims(np.sum(omegaT.T* x, axis=1), axis=1) - y)*x, axis=0))\n",
" \n",
" omega_updated = omegaT - np.expand_dims(alpha/y.shape[0] * np.sum((np.expand_dims(np.sum(omegaT.T* x, axis=1), axis=1) - y)*x, axis=0), axis=1)\n",
" \n",
" return omega_updated\n",
"\n",
"\n",
"a = np.array([[1.0, 2.0], [2.0, 2.0], [1.0, 2.0], [2.0, 2.0]])\n",
"b = np.array([[1.0], [2.0], [1.0], [2.0]])\n",
"result = weight_update_function(a, b, w, 0.001)\n",
"assert abs(np.mean(result) - 0.996) <= 0.01\n",
"assert result.shape == w.shape"
]
},
{
"cell_type": "code",
"execution_count": 395,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "c225c91805a25ef61fb1523bdaa6c474",
"grade": true,
"grade_id": "Gradient_Descent-test_1",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[3. 4.]\n"
]
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 points: check the output value and shape of your weight_update_function\n",
"result = weight_update_function(a, b, w, 0.001)\n",
"assert abs(np.mean(result) - 0.996) <= 0.01\n",
"assert result.shape == w.shape\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 396,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "5945f61970177f021873074c8f573712",
"grade": true,
"grade_id": "Gradient_Descent-test_2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# Hidden test below\n",
"# 1 point: further tests to check the output of the weight_update_function function\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "88fb4084875e771a0f50675db6e2b1dd",
"grade": false,
"grade_id": "cell-7425ef1050a146d1",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"### Training & plot\n",
"To monitor the training process, here we use mean absolute error (mae):\n",
"\\begin{align}\n",
"MAE = \\frac{1}{n}\\sum^n_{i=1} |\\text{y_pred}_i - \\text{y_real}_i|\n",
"\\end{align}\n",
"Please implement the `mean_absolute_error()` that returns MAE. Methods/attribute you may need are `numpy.sum()`, `numpy.dot()` and `numpy.abs()`."
]
},
{
"cell_type": "code",
"execution_count": 397,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "29b23eb207eaba7d20cd1d54e7a03e37",
"grade": false,
"grade_id": "MAE-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 7: implement mean absolute function. (2 points in total)\n",
"\n",
"def mean_absolute_error(x, y, omegaT):\n",
" \"\"\"\n",
" return the mean absolute error\n",
" \n",
" Args:\n",
" x (numpy.ndarray): numpy array of features (n data points, m features). Shape (n, m)\n",
" y (numpy.ndarray): numpy array of corresponding targets. Shape (n, 1)\n",
" omegaT (numpy.ndarray): weight vector (transposed). Shape (m, 1)\n",
" \n",
" Returns:\n",
" mse (numpy.float64 or float): mean absolute error.\n",
" \"\"\"\n",
" mae = None # please update this in your solution\n",
" \n",
" mae = np.sum(np.abs(np.dot(omegaT.T, x.T) - y.T))/y.shape[0]\n",
"\n",
" \n",
" return mae"
]
},
{
"cell_type": "code",
"execution_count": 398,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "3bdf8639f9007b75d9a38bbb3617d6f2",
"grade": true,
"grade_id": "MAE-test_1",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 points: check the output value and shape of your mean_absolute_error function\n",
"result = mean_absolute_error(a, b, w)\n",
"assert np.round(result) == 2.0\n",
"assert type(result) == np.float64 or type(result) == float\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 399,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "eb976ece48b75f53773fd868fccb0bbe",
"grade": true,
"grade_id": "MAE-test_2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# Hidden test below\n",
"# 1 point: further tests to check the output of the mean_absolute_error function\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "0cc44d69ab7bd4ebe63f3a7d333609ee",
"grade": false,
"grade_id": "cell-851877d35d2dd051",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"For the last step before training the model, let's set up the learning rate and number of iterations. We use `J_train` and `J_val` to record mean absolute errors for each epoch of the training and validation processes."
]
},
{
"cell_type": "code",
"execution_count": 400,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "4ac7bac11c32ff5082211ee23321a214",
"grade": false,
"grade_id": "cell-fcab24a7683a7370",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# defining parameter values\n",
"\n",
"epochs = 10000 # number of updates to weights, aka omegaT\n",
"alpha = 0.001 # learning rate\n",
"J_train = np.zeros(epochs) # MAE of training process\n",
"J_val = np.zeros(epochs) # MAE of validation process\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "21cc4278a129505b0d3151588367fce1",
"grade": false,
"grade_id": "cell-13d06de7e4e3c1f5",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"Now, let's train our model by updating `omegaT` with the `weight_update_function()` and record mean absolute errors through `mean_absolute_error()` for the training/validation process."
]
},
{
"cell_type": "code",
"execution_count": 401,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "dea73851dbe92facb2ab0e8105fda70d",
"grade": false,
"grade_id": "Train_Loop-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[3.88738423 1.98309821 1.75446335 2.0796995 1.90046204]\n",
"[3.87981401 1.97923979 1.75085588 2.07576341 1.89683337]\n",
"[3.87225855 1.97538888 1.74725546 2.07183498 1.89321176]\n",
"[3.86471779 1.97154547 1.74366207 2.06791417 1.88959718]\n",
"[3.85719172 1.96770953 1.74007568 2.06400099 1.88598962]\n",
"[3.84968031 1.96388105 1.7364963 2.06009542 1.88238908]\n",
"[3.84218353 1.96006002 1.73292391 2.05619743 1.87879554]\n",
"[3.83470135 1.95624642 1.72935849 2.05230702 1.87520898]\n",
"[3.82723375 1.95244025 1.72580004 2.04842417 1.87162939]\n",
"[3.81978069 1.94864148 1.72224852 2.04454887 1.86805676]\n",
"[3.81234214 1.94485009 1.71870395 2.0406811 1.86449107]\n",
"[3.80491808 1.94106609 1.71516629 2.03682085 1.86093231]\n",
"[3.79750848 1.93728944 1.71163554 2.03296809 1.85738047]\n",
"[3.79011331 1.93352015 1.70811168 2.02912283 1.85383553]\n",
"[3.78273255 1.92975818 1.7045947 2.02528504 1.85029748]\n",
"[3.77536616 1.92600353 1.70108458 2.02145471 1.84676631]\n",
"[3.76801411 1.92225619 1.69758132 2.01763182 1.843242 ]\n",
"[3.76067639 1.91851614 1.6940849 2.01381636 1.83972454]\n",
"[3.75335296 1.91478336 1.69059531 2.01000832 1.83621391]\n",
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"[3.71694919 1.89622813 1.67324925 1.99107883 1.81876287]\n",
"[3.70971092 1.89253871 1.66980033 1.98731498 1.81529299]\n",
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"[3.66657641 1.87055244 1.64924777 1.96488497 1.79461483]\n",
"[3.65943625 1.86691297 1.64584571 1.96117202 1.79119188]\n",
"[3.65231 1.86328058 1.6424503 1.95746629 1.78777557]\n",
"[3.64519763 1.85965526 1.63906151 1.95376776 1.78436591]\n",
"[3.63809911 1.85603699 1.63567934 1.95007641 1.78096287]\n",
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"[3.60281336 1.83805094 1.61886728 1.93172702 1.76404663]\n",
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"[3.54015934 1.80611408 1.58901651 1.89914452 1.73400895]\n",
"[3.53326541 1.80259996 1.58573205 1.89555932 1.73070377]\n",
"[3.52638489 1.79909268 1.58245401 1.89198109 1.72740502]\n",
"[3.51951778 1.79559223 1.57918236 1.88840982 1.72411268]\n",
"[3.51266405 1.79209858 1.57591711 1.88484549 1.72082673]\n",
"[3.50582366 1.78861173 1.57265823 1.88128808 1.71754718]\n",
"[3.4989966 1.78513166 1.56940572 1.87773759 1.71427399]\n",
"[3.49218283 1.78165836 1.56615955 1.87419399 1.71100717]\n",
"[3.48538234 1.77819182 1.56291973 1.87065728 1.70774669]\n",
"[3.47859509 1.77473202 1.55968623 1.86712745 1.70449255]\n",
"[3.47182106 1.77127895 1.55645904 1.86360447 1.70124473]\n",
"[3.46506022 1.7678326 1.55323816 1.86008834 1.69800323]\n",
"[3.45831256 1.76439295 1.55002357 1.85657904 1.69476802]\n",
"[3.45157803 1.76096 1.54681525 1.85307656 1.6915391 ]\n",
"[3.44485662 1.75753372 1.5436132 1.84958089 1.68831646]\n",
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"[3.41810165 1.74389513 1.5308674 1.83566599 1.67548838]\n",
"[3.41144544 1.74050205 1.52769649 1.83220415 1.67229692]\n",
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"[3.38495001 1.7269956 1.51507466 1.81842391 1.659593 ]\n",
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"[3.37177958 1.72028172 1.50880065 1.8115739 1.65327801]\n",
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"[3.28101058 1.67400955 1.46556276 1.76436268 1.60975425]\n",
"[3.27462139 1.67075241 1.46251939 1.76103938 1.60669052]\n",
"[3.26824465 1.66750161 1.45948196 1.75772254 1.60363275]\n",
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"[3.22395386 1.64492235 1.4383854 1.73468443 1.58239405]\n",
"[3.21767581 1.6417218 1.4353951 1.7314188 1.57938349]\n",
"[3.21140998 1.63852746 1.43241065 1.72815951 1.57637878]\n",
"[3.20515636 1.63533934 1.42943202 1.72490656 1.5733799 ]\n",
"[3.19891492 1.63215742 1.42645921 1.72165993 1.57038685]\n",
"[3.19268563 1.62898169 1.42349221 1.7184196 1.56739962]\n",
"[3.18646848 1.62581214 1.420531 1.71518557 1.56441819]\n",
"[3.18026344 1.62264876 1.41757558 1.71195783 1.56144255]\n",
"[3.17407048 1.61949152 1.41462593 1.70873635 1.55847269]\n",
"[3.16788959 1.61634043 1.41168204 1.70552113 1.55550861]\n",
"[3.16172073 1.61319547 1.4087439 1.70231216 1.55255028]\n",
"[3.15556389 1.61005662 1.4058115 1.69910943 1.5495977 ]\n",
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"[ 0.01353492 -0.01192186 -0.04316881 0.02147703 0.00421114]\n",
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"[ 0.01353726 -0.01192388 -0.04315545 0.02146869 0.00420409]\n",
"[ 0.01353784 -0.01192439 -0.04315211 0.02146661 0.00420233]\n",
"[ 0.01353843 -0.01192489 -0.04314877 0.02146453 0.00420057]\n",
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"[ 0.01358767 -0.01196733 -0.04286632 0.02128845 0.00405164]\n",
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"[ 0.01358997 -0.01196931 -0.04285309 0.02128021 0.00404467]\n",
"[ 0.01359054 -0.0119698 -0.04284978 0.02127815 0.00404293]\n",
"[ 0.01359111 -0.0119703 -0.04284648 0.02127609 0.00404119]\n",
"[ 0.01359169 -0.01197079 -0.04284317 0.02127403 0.00403945]\n",
"[ 0.01359226 -0.01197128 -0.04283987 0.02127197 0.00403771]\n",
"[ 0.01359283 -0.01197178 -0.04283656 0.02126991 0.00403597]\n",
"[ 0.0135934 -0.01197227 -0.04283326 0.02126785 0.00403423]\n",
"[ 0.01359398 -0.01197276 -0.04282996 0.02126579 0.00403249]\n",
"[ 0.01359455 -0.01197326 -0.04282665 0.02126374 0.00403075]\n",
"[ 0.01359512 -0.01197375 -0.04282335 0.02126168 0.00402901]\n",
"[ 0.01359569 -0.01197424 -0.04282005 0.02125962 0.00402728]\n",
"[ 0.01359626 -0.01197473 -0.04281675 0.02125756 0.00402554]\n",
"[ 0.01359684 -0.01197523 -0.04281344 0.02125551 0.0040238 ]\n",
"[ 0.01359741 -0.01197572 -0.04281014 0.02125345 0.00402206]\n",
"[ 0.01359798 -0.01197621 -0.04280684 0.02125139 0.00402032]\n",
"[ 0.01359855 -0.0119767 -0.04280354 0.02124934 0.00401859]\n",
"[ 0.01359912 -0.01197719 -0.04280024 0.02124728 0.00401685]\n",
"[ 0.01359969 -0.01197769 -0.04279694 0.02124523 0.00401511]\n",
"[ 0.01360026 -0.01197818 -0.04279364 0.02124317 0.00401337]\n",
"[ 0.01360083 -0.01197867 -0.04279034 0.02124112 0.00401164]\n",
"[ 0.0136014 -0.01197916 -0.04278704 0.02123906 0.0040099 ]\n",
"[ 0.01360198 -0.01197965 -0.04278374 0.02123701 0.00400816]\n",
"[ 0.01360255 -0.01198014 -0.04278045 0.02123495 0.00400643]\n",
"[ 0.01360312 -0.01198063 -0.04277715 0.0212329 0.00400469]\n",
"[ 0.01360369 -0.01198112 -0.04277385 0.02123085 0.00400296]\n",
"[ 0.01360426 -0.01198161 -0.04277055 0.02122879 0.00400122]\n",
"[ 0.01360483 -0.0119821 -0.04276726 0.02122674 0.00399949]\n",
"[ 0.0136054 -0.0119826 -0.04276396 0.02122469 0.00399775]\n",
"[ 0.01360597 -0.01198309 -0.04276067 0.02122263 0.00399602]\n",
"[ 0.01360653 -0.01198358 -0.04275737 0.02122058 0.00399428]\n",
"[ 0.0136071 -0.01198407 -0.04275407 0.02121853 0.00399255]\n",
"[ 0.01360767 -0.01198456 -0.04275078 0.02121648 0.00399082]\n",
"[ 0.01360824 -0.01198505 -0.04274749 0.02121443 0.00398908]\n",
"[ 0.01360881 -0.01198554 -0.04274419 0.02121237 0.00398735]\n",
"[ 0.01360938 -0.01198603 -0.0427409 0.02121032 0.00398562]\n",
"[ 0.01360995 -0.01198652 -0.0427376 0.02120827 0.00398388]\n",
"[ 0.01361052 -0.011987 -0.04273431 0.02120622 0.00398215]\n",
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"[ 0.01361165 -0.01198798 -0.04272773 0.02120212 0.00397869]\n",
"[ 0.01361222 -0.01198847 -0.04272443 0.02120007 0.00397695]\n",
"[ 0.01361279 -0.01198896 -0.04272114 0.02119802 0.00397522]\n",
"[ 0.01361336 -0.01198945 -0.04271785 0.02119597 0.00397349]\n",
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"[ 0.01361449 -0.01199043 -0.04271127 0.02119187 0.00397003]\n",
"[ 0.01361506 -0.01199092 -0.04270798 0.02118982 0.0039683 ]\n",
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"[ 0.0136162 -0.01199189 -0.0427014 0.02118573 0.00396484]\n",
"[ 0.01361676 -0.01199238 -0.04269811 0.02118368 0.00396311]\n",
"[ 0.01361733 -0.01199287 -0.04269482 0.02118163 0.00396138]\n",
"[ 0.0136179 -0.01199336 -0.04269153 0.02117959 0.00395965]\n",
"[ 0.01361846 -0.01199384 -0.04268825 0.02117754 0.00395792]\n",
"[ 0.01361903 -0.01199433 -0.04268496 0.02117549 0.00395619]\n",
"[ 0.0136196 -0.01199482 -0.04268167 0.02117344 0.00395446]\n",
"[ 0.01362016 -0.01199531 -0.04267839 0.0211714 0.00395273]\n",
"[ 0.01362073 -0.01199579 -0.0426751 0.02116935 0.003951 ]\n",
"[ 0.01362129 -0.01199628 -0.04267181 0.02116731 0.00394927]\n",
"[ 0.01362186 -0.01199677 -0.04266853 0.02116526 0.00394755]\n",
"[ 0.01362243 -0.01199725 -0.04266524 0.02116322 0.00394582]\n",
"[ 0.01362299 -0.01199774 -0.04266196 0.02116117 0.00394409]\n",
"[ 0.01362356 -0.01199823 -0.04265867 0.02115913 0.00394236]\n",
"[ 0.01362412 -0.01199871 -0.04265539 0.02115708 0.00394064]\n",
"[ 0.01362469 -0.0119992 -0.0426521 0.02115504 0.00393891]\n",
"[ 0.01362525 -0.01199969 -0.04264882 0.02115299 0.00393718]\n",
"[ 0.01362582 -0.01200017 -0.04264554 0.02115095 0.00393546]\n",
"[ 0.01362638 -0.01200066 -0.04264225 0.0211489 0.00393373]\n",
"[ 0.01362695 -0.01200115 -0.04263897 0.02114686 0.00393201]\n",
"[ 0.01362751 -0.01200163 -0.04263569 0.02114482 0.00393028]\n",
"[ 0.01362808 -0.01200212 -0.04263241 0.02114278 0.00392856]\n",
"[ 0.01362864 -0.0120026 -0.04262913 0.02114073 0.00392683]\n",
"[ 0.01362921 -0.01200309 -0.04262584 0.02113869 0.00392511]\n",
"[ 0.01362977 -0.01200357 -0.04262256 0.02113665 0.00392338]\n",
"[ 0.01363033 -0.01200406 -0.04261928 0.02113461 0.00392166]\n",
"[ 0.0136309 -0.01200454 -0.042616 0.02113256 0.00391993]\n",
"[ 0.01363146 -0.01200503 -0.04261272 0.02113052 0.00391821]\n",
"[ 0.01363202 -0.01200551 -0.04260944 0.02112848 0.00391648]\n",
"[ 0.01363259 -0.012006 -0.04260617 0.02112644 0.00391476]\n",
"[ 0.01363315 -0.01200648 -0.04260289 0.0211244 0.00391304]\n",
"[ 0.01363371 -0.01200697 -0.04259961 0.02112236 0.00391131]\n",
"[ 0.01363428 -0.01200745 -0.04259633 0.02112032 0.00390959]\n",
"[ 0.01363484 -0.01200794 -0.04259305 0.02111828 0.00390787]\n",
"[ 0.0136354 -0.01200842 -0.04258978 0.02111624 0.00390615]\n",
"[ 0.01363597 -0.0120089 -0.0425865 0.0211142 0.00390443]\n",
"[ 0.01363653 -0.01200939 -0.04258322 0.02111216 0.0039027 ]\n"
]
}
],
"source": [
"# Task 8: implement the training process. (3 points in total)\n",
"\n",
"np.random.seed(0)\n",
"omegaT = np.random.randn(1,5).T # initialize weight/bias matrix randomly\n",
"\n",
"# begin training\n",
"for i in range(epochs):\n",
" \"\"\"\n",
" for each epoch, record the mae for training and validation process\n",
" use the weight_update_function to update the omega\n",
" \"\"\"\n",
" J_val[i] = None # please update this in your solution\n",
" J_train[i] = None # please update this in your solution\n",
" # don't forget to update the omegaT\n",
"\n",
" omegaT = weight_update_function(x_train, y_train, omegaT, alpha)\n",
"\n",
" J_val[i] = mean_absolute_error(x_val, y_val, omegaT) # please update this in your solution\n",
" J_train[i] = mean_absolute_error(x_train, y_train, omegaT) # please update this in your solution\n"
]
},
{
"cell_type": "code",
"execution_count": 402,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "69cdefa6ea64ee1e37474a7606e4d6a0",
"grade": true,
"grade_id": "Train_Loop-test_1",
"locked": true,
"points": 2,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 2 point: check the results of the training process \n",
"assert J_train[-1] > 0\n",
"assert np.std(J_val[-10:]) <= 1e-3 # the training process should converge\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 403,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "36c844b8f2a397e04ecf34196b70c5e7",
"grade": true,
"grade_id": "Train_Loop-test_2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# Hidden tests below\n",
"# 1 point: further tests for the training/validation results\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "9355fea4e3327f217dcc560b627f4b45",
"grade": false,
"grade_id": "cell-ae74de811a5efbf3",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"Here the `plot_training_curve()` is implemented to visualize the training process."
]
},
{
"cell_type": "code",
"execution_count": 404,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "e941543fb317c6e6ab1bb993981ecc55",
"grade": false,
"grade_id": "cell-aa589a16c8ac5082",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# defining plot training curve function\n",
"\n",
"def plot_training_curve(MAE_train, MAE_val, epochs):\n",
" \"\"\"Plot the mean absolute error for training/validation process\"\"\"\n",
" fig, ax = plt.subplots(figsize=(7.5, 5))\n",
" ax.plot(np.arange(epochs), MAE_train, label='Training')\n",
" ax.plot(np.arange(epochs), MAE_val, label='Validation')\n",
" ax.set_ylim([0,1])\n",
" ax.set_ylabel(\"Mean Absolute Error\")\n",
" ax.set_xlabel(\"Epochs\")\n",
" ax.set_title(\"Mean Absolute Error vs Epochs\")\n",
" ax.legend(loc='upper right')\n",
" plt.show()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 405,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "c4cd8decf149a9d059ae418d1e9ed2e4",
"grade": false,
"grade_id": "cell-0026215054ab185f",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# plotting the training curve\n",
"\n",
"plot_training_curve(J_train, J_val, epochs)\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "fac69e30ebd8318f8117572f59e786b7",
"grade": false,
"grade_id": "cell-8f5ede23cbae5e06",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"**Question:** You may have noticed that we have implemented the `mean_square_error()` function but seemed to never use it in the training process. Please think about the reason and write it down here.\n",
"Hint: double check the deduce process of the Gradient Descent."
]
},
{
"cell_type": "code",
"execution_count": 406,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "ac1b53746a1706bcdb0ea3e865de7809",
"grade": false,
"grade_id": "mse_question-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 9: answer the question. (1 point in total)\n",
"\n",
"your_answer = \"The weight_update_function uses the derivative of the mean_square_error to calculate the direction in which to change Omega to minimize mean_square_error. \""
]
},
{
"cell_type": "code",
"execution_count": 407,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
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"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point for the answer\n",
"assert type(your_answer) == str\n",
"assert len(your_answer) > 1\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
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"source": [
"### Accuracy\n",
"Now, with the optimized weight vector, let's implement `prediction()` to get the predicted class labels from our linear model. You may need `numpy.dot()` for the computation, and `numpy.round()` to round up the results into integers (because our class labels are integer 0, 1, 2)."
]
},
{
"cell_type": "code",
"execution_count": 408,
"metadata": {
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"source": [
"# Task 10: implement prediction function. (1 point in total)\n",
"\n",
"def prediction(x, omegaT):\n",
" \"\"\"\n",
" Return predicted labels.\n",
" \n",
" Args:\n",
" x (numpy.ndarray): the feature matrix (n data points, m features). Shape (n, m)\n",
" omegaT (numpy.ndarray): optimized weight vector (transposed). Shape (m, 1) \n",
" \n",
" Returns:\n",
" y_pred (numpy.ndarray): predicted labels. Shape (n, 1)\n",
" \"\"\"\n",
" y_pred = None # please update this in your solution\n",
"\n",
" y_pred = np.round(np.dot(omegaT.T, x.T).T)\n",
" \n",
" return y_pred"
]
},
{
"cell_type": "code",
"execution_count": 409,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "ab04419dd5a21637f835867df6200641",
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"grade_id": "Prediction-test",
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},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point\n",
"y_pred = prediction(x_test, omegaT)\n",
"assert y_pred.shape == y_test.shape\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
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},
"source": [
"Please implement `accuracy()` that calculates the prediction accuracy.\n",
"\n",
"Hint: prediction accuracy is computed by counting the number of predictions that match the real values, and then devide by the number of total instances."
]
},
{
"cell_type": "code",
"execution_count": 410,
"metadata": {
"deletable": false,
"nbgrader": {
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},
"outputs": [],
"source": [
"# Task 11: implement accuracy function. (1 point in total)\n",
"\n",
"def accuracy(y_pred, y):\n",
" \"\"\"\n",
" Compute the accuracy of prediction.\n",
" \n",
" Args:\n",
" y_pred (numpy.ndarray): the predicted class labels for n data points. Shape (n, 1)\n",
" y (numpy.ndarray): the real class labels. Shape (n, 1)\n",
" \n",
" Returns:\n",
" acc (numpy.float64 or float): calculated accuracy in float.\n",
" \"\"\"\n",
" acc = None\n",
" \n",
" acc = np.sum(y_pred == y)/y.shape[0]\n",
" \n",
" return acc"
]
},
{
"cell_type": "code",
"execution_count": 411,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "cf73524abdbb1e157715c8448f42a24b",
"grade": false,
"grade_id": "cell-3d2fa7c768675f74",
"locked": true,
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},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.7575757575757576\n"
]
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# printing accuracy\n",
"\n",
"acc = accuracy(y_pred, y_test)\n",
"print(acc)\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 412,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "f393e6ee564eda293ee59f324c2e1469",
"grade": true,
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"locked": true,
"points": 1,
"schema_version": 3,
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},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"assert type(acc) == np.float64 or type(acc) == float\n",
"\n",
"# Hidden test below\n",
"# 1 point: test the output value of the accuracy() function\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
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"locked": true,
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},
"source": [
"### Visualize predictions vs ground truth\n",
"For the last step, let's visualize how well our model has performed. We are using a tool called confusion_matrix. \n",
"This method is useful to know how many of the classes were correctly and incorrectly identified.\n",
"You can read more about it here : https://scikit-learn.org/stable/modules/generated/sklearn.metrics.confusion_matrix.html"
]
},
{
"cell_type": "code",
"execution_count": 413,
"metadata": {
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},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
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],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# visualizing a confusion matrix\n",
"\n",
"from sklearn.metrics import confusion_matrix\n",
"\n",
"# Compute confusion matrix\n",
"cm = confusion_matrix(y_test, y_pred)\n",
"\n",
"# Plot confusion matrix\n",
"plt.figure(figsize=(4, 3))\n",
"sns.heatmap(cm, annot=True, fmt='d', cbar=False)\n",
"plt.xlabel('Predicted labels')\n",
"plt.ylabel('True labels')\n",
"plt.title('Confusion Matrix')\n",
"plt.show()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
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"source": [
"Please feel free to play around with the model and training process. You may adjust the learning rate and number of epochs to see how the training curve changes (do not forget to re-initialize the weight vector). You may also try different train-validation split ratio to see the effect.\n",
"\n",
"You may notice that the training results differ a lot with different hyperparameters (learning rate, omega initialization, etc.). This is one limitation of such simple ML model. Later in this semester, you will see and implement more sophisticated ML algorithms that can make more stable and accurate predictions."
]
},
{
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"source": [
"In the second part of this tutorial, we will be working with the famous \"iris\" dataset. It contains the characteristics of several different flowers of the iris type, along with the specific iris species.\n",
"\n",
" "
]
},
{
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},
"source": [
"## Overfitting & Ridge regression"
]
},
{
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"source": [
"When finishing the first part of the tutorial, you may (and may not, depending on the training set setup) sometimes observe the gap between the training curve and validation curve (validation error higher than training error) that cannot be diminished by increasing the number of epochs. This phenomenon is known as \"overfitting\". It happens when the model gets too complex so that it fits the training set perfectly, but loses the generalization ability towards unseen data from validation/test set."
]
},
{
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"source": [
"Ridge regression, also known as L2 regularization, is a useful technique to restrict our model from getting too complicated and reduce the effect of overfitting. It works by simply adding a penalty term to the cost function. In our case, the penalty term is $||\\Omega||_2^2$ (the square of the $L^2$ norm). It prefers lower absolute values of weights thus reduces the model complexity. For more information, please refer to [here](https://developers.google.com/machine-learning/crash-course/regularization-for-simplicity/l2-regularization)."
]
},
{
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"source": [
"By introducting the penalty term, our cost function becomes:\n",
"\\begin{align}\n",
"MSE = \\frac{1}{2}(\\frac{1}{n}\\sum^n_{i=1}(\\text{y_pred}_i - \\text{y_real}_i)^2 + \\lambda ||\\Omega^T||_2^2)\n",
"\\end{align}\n",
"$\\lambda$ is the coefficient to adjust the regularization effect."
]
},
{
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"source": [
"While the mean absolute error calculation stays the same, the weight update function becomes:\n",
"\\begin{align}\n",
"\\Omega^T = \\Omega^T - \\alpha \\frac{\\partial MSE}{\\partial \\Omega^T} = \\Omega^T - \\alpha(\\frac{1}{n} \\sum^n_{i=0}(x_i \\Omega^T - \\text{y_real}_i) x_i + \\lambda \\Omega^T) \n",
"\\end{align}\n",
"Now, please implement the new cost function `mean_square_error_ridge()` and `weight_update_function_ridge()` with the penalty term. You may use `mean_square_error()` and `weight_update_function()` that are implemented earlier as references. You may also need `np.square` and `np.sqrt` to calculate square and square root."
]
},
{
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"load:\n",
"\tshape: (150, 5)\n",
"\tcolumns: ['sepal_length' 'sepal_width' 'petal_length' 'petal_width' 'species']\n",
"\n",
"convert_to_categorical:\n",
"\tshape: (150, 5)\n",
"\tcolumns: ['sepal_length' 'sepal_width' 'petal_length' 'petal_width' 'species']\n",
"\n",
"add_class_labels:\n",
"\tshape: (150, 6)\n",
"\tcolumns: ['sepal_length' 'sepal_width' 'petal_length' 'petal_width' 'species'\n",
" 'class']\n"
]
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"url = 'https://bwsyncandshare.kit.edu/s/Bj7dBNAAErNY9ei/download'\n",
"response: str = requests.get(url).content.decode('utf-8')\n",
"with open('iris.csv', 'w') as file:\n",
" file.write(response)\n",
" \n",
"# reading dataframe and preprocessing it\n",
"\n",
"df = pd.DataFrame()\n",
"df = (\n",
" df.pipe(load, 'iris.csv')\n",
" .pipe(convert_to_categorical, 'species')\n",
" .pipe(add_class_labels, 'species')\n",
")\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "49853da303f55b1aec2c31954d356602",
"grade": false,
"grade_id": "cell-1655a28bcfdeb408",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"## Separate features from the target\n",
"\n",
"As we did for the first dataset, let's extract feature matrix `X` and label matrix `Y` from the new dataframe `df`. Please implement the `split_X_Y` function again, note that this time the function returns feature `X` as a $150 \\times 4$ numpy array, as well as label `Y` as a $150 \\times 1$ numpy array. `X` should contain values from column \"sepal_length\", \"sepal_width\", \"petal_length\" and \"petal_width\" (**Again, make sure to follow this order for grading purpose or use the variable `numeric_columns`**). `Y` should be the value of column \"class\". You may use methods such as `.reshape()` to reshape an array, and attributes like `.values` to access values in columns of the data frame."
]
},
{
"cell_type": "code",
"execution_count": 415,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "0788cbfadde0205e1c4413a25ff736c1",
"grade": false,
"grade_id": "Train_Test_Split_2-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 12: Implement split_X_Y. (2 points in total)\n",
"\n",
"numeric_columns = [\"sepal_length\", \"sepal_width\", \"petal_length\", \"petal_width\"]\n",
"def split_X_Y(df):\n",
" \"\"\"\n",
" split the dataframe into feature matrix X and label matrix Y\n",
" \n",
" Args:\n",
" df (pandas.DataFrame): shape (333, 6)\n",
" \n",
" Returns:\n",
" X (numpy.ndarray): array containing values of 4 features of the dataframe. Shape (333, 4) \n",
" Y (numpy.ndarray): array containing target value in the column \"class\". Shape (333, 1)\n",
" \"\"\"\n",
" X = None # please update this in your solution\n",
" Y = None # please update this in your solution\n",
" \n",
" X = df[numeric_columns].values\n",
" Y = df[\"class\"].values.reshape((150,1))\n",
" \n",
" return X, Y\n",
"\n",
"\n",
"# feature/target split\n",
"X, Y = split_X_Y(df)"
]
},
{
"cell_type": "code",
"execution_count": 416,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "40b81b45cd95ff240f1f4a2be0457f52",
"grade": true,
"grade_id": "Train_Test_Split_2-test_1",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point for correct shape of X and Y\n",
"assert X.shape == (150, 4)\n",
"assert Y.shape == (150, 1)\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 417,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "f95cb187fb579fe47e80e5419ab52146",
"grade": true,
"grade_id": "Train_Test_Split_2-test_2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# Hidden test below\n",
"# 2 points: values in X and Y are checked\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "9f1efc85ee19d7c0de6d45d30e9dfbe1",
"grade": false,
"grade_id": "cell-1c7ef432ec22cac3",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"## Plot the data\n",
"\n",
"Similarly to the above dataset, we quickly plot the data contained in our new dataset 'iris', this time using a \"Pairplot\", which displays pairwise relationships in a dataset (you probably have already seen it in lecture slides). Pairplot can be implemented easily with the [seaborn](https://seaborn.pydata.org/generated/seaborn.pairplot.html?highlight=pairplot#seaborn.pairplot) library. Here we used it to show the pairwise relationships among iris features."
]
},
{
"cell_type": "code",
"execution_count": 418,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "d8786a4a6068f690fb48772e9d4e0224",
"grade": false,
"grade_id": "cell-5c78c93b67fbd272",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# visualizing pairplots\n",
"\n",
"sns.pairplot(df.loc[:,:'species'], hue= 'species')\n",
"plt.show()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "ead4867d8f17cc0013e407a14dbc258d",
"grade": false,
"grade_id": "cell-1392c1ad4497bd90",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"**Question**: out of these combinations of features, which pair has the strongest linear correlation relationship?\n",
"\n",
"**1.** sepal_length and petal_width \n",
"\n",
"**2.** sepal_width and petal_length \n",
"\n",
"**3.** sepal_width and petal_length \n",
"\n",
"**4.** sepal_length and sepal_width\n",
"\n",
"**5.** petal_length and petal_width \n",
"\n",
"(To learn more about the linear correlation, please refer to [here](https://en.wikipedia.org/wiki/Pearson_correlation_coefficient))\n",
"\n",
"Assign the number of your choice to the variable `B`:"
]
},
{
"cell_type": "code",
"execution_count": 419,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "83588778202b4d825e6ec64d5bce62b0",
"grade": false,
"grade_id": "Correlation_Plot-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 13: select the correct choice. (1 point in total)\n",
"\n",
"B = 5\n",
"\n",
"\"\"\"\n",
"from sklearn.preprocessing import normalize\n",
"xx = normalize(X,axis=0,norm='l1')\n",
"t = np.sum(np.expand_dims(xx,axis=2)*np.expand_dims(xx,axis=1), axis=0)\n",
"display(t)\n",
"np.argmax(t)\n",
"\"\"\"\n",
"None"
]
},
{
"cell_type": "code",
"execution_count": 420,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "69458185ce223fa3a927a2398e72fb50",
"grade": true,
"grade_id": "Correlation_Plot-test",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"assert type(B) == int # Please make sure your input is an int.\n",
"\n",
"# Hidden test below\n",
"# 1 point for correct answer\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 451,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "5d2e049c28a567991edaec545d9430dc",
"grade": false,
"grade_id": "Ridge_function-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 14: implement L2 regularization. (2 points in total)\n",
"\n",
"def mean_square_error_ridge(x, y, omegaT, lam):\n",
" \"\"\"\n",
" return the mean suqared error.\n",
" \n",
" Args:\n",
" x (numpy.ndarray): numpy array of features (n data points, m features). Shape (n, m)\n",
" y (numpy.ndarray): numpy array of corresponding targets. Shape (n, 1)\n",
" omegaT (numpy.ndarray): weight vector (transposed). shape (m, 1)\n",
" lam (float): ridge regression coefficient.\n",
" \n",
" Returns:\n",
" mse (numpy.float64 or float): mean squared error.\n",
" \"\"\"\n",
" mse = None # please update this in your solution\n",
" mse = 0.5*np.sum((np.dot(omegaT.T, x.T) - y.T)**2)/y.shape[0] + lam*0.5*np.dot(omegaT.T, omegaT)\n",
" \n",
" return mse"
]
},
{
"cell_type": "code",
"execution_count": 452,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "511ac04243ed6fa720369bd73b9be6fb",
"grade": true,
"grade_id": "Ridge_function-test",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point: check the output value\n",
"a = np.array([[1.0, 2.0], [2.0, 2.0]])\n",
"b = np.array([[1.0], [2.0]])\n",
"w = np.array([[1.0, 1.0]]).T\n",
"assert np.round(mean_square_error_ridge(a, b, w, 0.1), 1) == 2.1\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 463,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "94b9a89f91bf418522f8a1a480d025e6",
"grade": false,
"grade_id": "Ridge_update_function-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"def weight_update_function_ridge(x, y, omegaT, alpha, lam):\n",
" \"\"\"\n",
" return updated set of weights\n",
" \n",
" Args:\n",
" x (numpy.ndarray): numpy array of features (n data points, m features). Shape (n, m)\n",
" y (numpy.ndarray): numpy array of corresponding classes. Shape (n, 1)\n",
" omegaT (numpy.ndarray): weight vector (transposed). Shape (m, 1)\n",
" alpha (float): learning rate.\n",
" lam (float): ridge regression coefficient.\n",
" \n",
" Returns:\n",
" omega_updated (numpy.ndarray): the updated weight vector (transposed). Shape (m, 1)\n",
" \"\"\"\n",
" omega_updated = None # please update this in your solution\n",
" \n",
" #print(np.sum((np.expand_dims(np.sum(omegaT.T* x, axis=1), axis=1) - y)*x, axis=0).shape, omegaT.shape)\n",
" \n",
" omega_updated = omegaT - np.expand_dims(alpha/y.shape[0] * np.sum((np.dot(omegaT.T, x.T) - y.T)*x.T + alpha*lam*omegaT, axis=1), axis=1)\n",
" omega_updated = omegaT - np.expand_dims(alpha/y.shape[0] * np.sum((np.expand_dims(np.sum(omegaT.T* x, axis=1), axis=1) - y)*x, axis=0), axis=1) - alpha*lam*omegaT\n",
" \n",
" #print(np.sum((np.dot(omegaT.T, x.T) - y.T)*x.T, axis=1).shape, omegaT.shape)\n",
" #print(omegaT.shape, omega_updated.shape)\n",
" \n",
" return omega_updated"
]
},
{
"cell_type": "code",
"execution_count": 464,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "feb712f502586a6f603867a328caa7c1",
"grade": true,
"grade_id": "Ridge_update_function-test",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point: check the output value\n",
"assert abs(np.mean(weight_update_function_ridge(a, b, w, 0.001, 0.1)) - 0.99) <= 0.01\n",
"assert w.shape == weight_update_function_ridge(a, b, w, 0.001, 0.1).shape\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "228944becea614c63a4c7c5a6d4551e2",
"grade": false,
"grade_id": "cell-32d88540dd3063f2",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"Now, let's look at a very unbalanced training set. In this example, only 25 instances are used as training set ($17\\%$), and the number of class 0 is significantly higher than both class 1 and 2."
]
},
{
"cell_type": "code",
"execution_count": 465,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "584aedad3eee189f943ccafe9b274f26",
"grade": false,
"grade_id": "cell-3dd78c224b6c1053",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# reading pickle variable \n",
"\n",
"import pickle\n",
"with open('iris_overfit', 'rb') as f:\n",
" x_train, x_val, y_train, y_val = pickle.load(f)\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 466,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "d1b6e6d8093725362e582b8af48c9a81",
"grade": false,
"grade_id": "cell-6031fda3455940be",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# plotting class distribution of training set\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.scatter(np.arange(0, len(y_train), 1), y_train)\n",
"plt.yticks(np.arange(0, 3, 1))\n",
"ax.set_xlabel(\"data index\")\n",
"ax.set_ylabel(\"class label\")\n",
"ax.set_title(\"Class distribution of training set\")\n",
"plt.show()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "09963cd951855227a5e7c42432197740",
"grade": false,
"grade_id": "cell-cdee0339af40f024",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"For the training, let's do the normal linear regression and ridge regression side by side, with `J_train`, `J_val` recording linear regression training/validation MAE, and `J_train_ridge`, `J_val_ridge` recording ridge regression MAE. Please implement them in the same `for` loop."
]
},
{
"cell_type": "code",
"execution_count": 467,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "45dd0b3524bff4f031bc32399c8e62a1",
"grade": false,
"grade_id": "cell-683b12756b7864fc",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# initializing parameters\n",
"\n",
"np.random.seed(0)\n",
"omegaT = np.random.randn(5,1)\n",
"epochs = 3000 # number of updates to the weight\n",
"alpha = 0.0005 # learning rate\n",
"lam = 0.5 # coefficient of L2 penalty\n",
"J_train = np.zeros(epochs) # record MAE of training process (without L2 penalty)\n",
"J_val = np.zeros(epochs) # record MAE of validation process (without L2 penalty)\n",
"J_train_ridge = np.zeros(epochs) # record MAE of training process (with L2 penalty)\n",
"J_val_ridge = np.zeros(epochs) # record MAE of validation process (with L2 penalty)\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 478,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "2cbaa771d6ff144d7b7c773c6dce681f",
"grade": false,
"grade_id": "Train_Loop_Ridge-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 15: implement training process with L2 regularization. (3 points in total)\n",
"\n",
"omega_norm = np.copy(omegaT) # weight vector for training without L2 penalty\n",
"omega_ridge = np.copy(omegaT) # weight vector for ridge regression\n",
"\n",
"for i in range(epochs):\n",
" # for each epoch, record the mae for training and validation process without using ridge regression\n",
" # use the weight_update_function to update the omega_norm\n",
" J_val[i] = None # please update this in your solution\n",
" J_train[i] = None # please update this in your solution\n",
"\n",
" omega_norm = weight_update_function(x_train, y_train, omega_norm, alpha)\n",
"\n",
" J_val[i] = mean_absolute_error(x_val, y_val, omega_norm) # please update this in your solution\n",
" J_train[i] = mean_absolute_error(x_train, y_train, omega_norm) # please update this in your solution\n",
" \n",
" \n",
" # Now, let's try to optimize omega using ridge regression\n",
" # use the weight_update_function_ridge to update the omega_ridge\n",
" J_val_ridge[i] = None # please update this in your solution\n",
" J_train_ridge[i] = None # please update this in your solution\n",
"\n",
" omega_ridge = weight_update_function_ridge(x_train, y_train, omega_ridge, alpha, lam)\n",
"\n",
" J_val_ridge[i] = mean_absolute_error(x_val, y_val, omega_ridge) # please update this in your solution\n",
" J_train_ridge[i] = mean_absolute_error(x_train, y_train, omega_ridge) # please update this in your solution\n",
"\n",
"\"\"\"\n",
"plt.loglog(np.arange(epochs), J_val, label='Validation')\n",
"plt.loglog(np.arange(epochs), J_val_ridge, label='Validation_Ridge')\n",
"plt.loglog(np.arange(epochs), J_train, label='Training')\n",
"plt.loglog(np.arange(epochs), J_train_ridge, label='Training_Ridge')\n",
"plt.legend()\n",
"plt.show()\n",
"\"\"\"\n",
"None"
]
},
{
"cell_type": "code",
"execution_count": 479,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "af678bb3c62b3e741c7e21b95262f235",
"grade": true,
"grade_id": "Train_Loop_Ridge-test_1",
"locked": true,
"points": 2,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 2 point: check the results of the training process\n",
"assert J_train_ridge[-1] > 0\n",
"assert np.std(J_val_ridge[-10:]) <= 1e-3 # the model should converge after training\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 480,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "d6b45c5a65a271a06b1b94c5914d8500",
"grade": true,
"grade_id": "Train_Loop_Ridge-test_2",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# Hidden test below\n",
"# 1 point: further tests of the training results\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "6b13bdefa45e339152180be31a55445b",
"grade": false,
"grade_id": "cell-edcd9970ea4609f4",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"Now we plot the training curves again, but this time on a log-log scale to better see the differences:"
]
},
{
"cell_type": "code",
"execution_count": 481,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "49496c9cb43fc7c888522ee9a0db598b",
"grade": false,
"grade_id": "cell-df4ab96b4f364192",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# defining function\n",
"\n",
"def plot_training_curve_ridge(MAE_train, MAE_val, MAE_train_ridge, MAE_val_ridge, epochs):\n",
" \"\"\"Plot the mean absolute error for training/validation process\"\"\"\n",
" fig, ax = plt.subplots(1, 2, figsize=(15, 5))\n",
" ax[0].loglog(np.arange(epochs), MAE_train, label='Training')\n",
" ax[0].loglog(np.arange(epochs), MAE_val, label='Validation')\n",
" ax[0].set_ylabel(\"Mean Absolute Error\")\n",
" ax[0].set_xlabel(\"Epochs\")\n",
" ax[0].set_title(\"Without L2 Regularization\")\n",
" ax[0].legend(loc='upper right')\n",
" \n",
" ax[1].loglog(np.arange(epochs), MAE_train_ridge, label='Training')\n",
" ax[1].loglog(np.arange(epochs), MAE_val_ridge, label='Validation')\n",
" ax[1].set_ylabel(\"Mean Absolute Error\")\n",
" ax[1].set_xlabel(\"Epochs\")\n",
" ax[1].set_title(\"With L2 Regularization\")\n",
" ax[1].legend(loc='upper right')\n",
" plt.show()\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 482,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "1f6312d504d4133117d1806221ae8d7b",
"grade": false,
"grade_id": "cell-c92bf80d33f8ea7a",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# plotting results\n",
"\n",
"plot_training_curve_ridge(J_train, J_val, J_train_ridge, J_val_ridge, epochs)\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 484,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "8db9ffb4c29d235bad4351bca6bec7ce",
"grade": false,
"grade_id": "Add_bias_term_to_X2-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.8066666666666666\n",
"0.94\n"
]
}
],
"source": [
"# Task 16: as you did in the first part, stack to X a new column with value 1 (using np.hstack for example).\n",
"# (2 points in total)\n",
"\n",
"# Update feature matrix X with x0 = 1\n",
"X = np.hstack((np.ones((X.shape[0],1)), X))\n",
"\n",
"Y_pred = prediction(X, omega_norm)\n",
"Y_pred_ridge = prediction(X, omega_ridge)\n",
"acc = accuracy(Y_pred, Y)\n",
"acc_ridge = accuracy(Y_pred_ridge, Y)\n",
"print(acc)\n",
"print(acc_ridge)"
]
},
{
"cell_type": "code",
"execution_count": 485,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "4bcb2e37f45df0912f86107ac115fad8",
"grade": true,
"grade_id": "Add_bias_term_to_X2-test",
"locked": true,
"points": 1,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# 1 point for correct shape of X after stacking\n",
"\n",
"# now the shape of x_train should change from (150, 4) to (150, 5)\n",
"assert X.shape == (150, 5) \n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 487,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "128aa8da527aaa6a723bd4513d66987e",
"grade": false,
"grade_id": "cell-7e1fb0a56e056490",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# plotting class distribution labels\n",
"\n",
"def plot_predict_vs_real(Y_pred, Y, title='plot'):\n",
" \"\"\"Plot the predictions vs ground truch\"\"\"\n",
" fig, ax = plt.subplots(figsize=(7.5, 5))\n",
" ax.scatter(np.arange(1, 151, 1), Y_pred, label='Predictions')\n",
" ax.plot(np.arange(1, 151, 1), Y, label='Ground Truch', color='red')\n",
" ax.set_title(title)\n",
" ax.legend(loc=\"upper left\")\n",
" plt.yticks(np.arange(0, 3, 1))\n",
" plt.show()\n",
"\n",
"plot_predict_vs_real(Y_pred, Y, title='without ridge regression')\n",
"plot_predict_vs_real(Y_pred_ridge, Y, title='with ridge regression')\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "da6badb3722e34bf4e12dc1d1b4f15af",
"grade": false,
"grade_id": "cell-11f395039356b11f",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"**Yes or No question:** from the plots/accuracy calculations, do you think the ridge regression improved the learning performance?"
]
},
{
"cell_type": "code",
"execution_count": 488,
"metadata": {
"deletable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "ad313d77598841cc16c88851eed178f4",
"grade": false,
"grade_id": "Ridge_question-answer",
"locked": false,
"schema_version": 3,
"solution": true,
"task": false
}
},
"outputs": [],
"source": [
"# Task 17: answer the question. (2 points in total)\n",
"\n",
"Answer = True"
]
},
{
"cell_type": "code",
"execution_count": 489,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "ba589b571a9d6d98a8318e29d776882a",
"grade": true,
"grade_id": "Ridge_question-test",
"locked": true,
"points": 2,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"# Hidden test below\n",
"# 1 point for your answer\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "5055c03f08fd98b5f02ae7aab78e47f8",
"grade": false,
"grade_id": "cell-298117388b266b67",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"## Scipy Optimize"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "b141a348b99cf04f7a35c352bda7d553",
"grade": false,
"grade_id": "cell-1e16607a3299687d",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"Rather than handcraft the Gradient Descent algorithm, there are libraries that can do the optimization task automatically. The `minimize()` function provided by SciPy library is a good example. It takes as input the name of the function that needs to be minimized, the initial point where the search starts and (optionally) the name of a specific search algorithm. It returns a `OptimizeResult` object that contains details of the optimization result. Below is an example of using `minimize()` function to optimize our linear model."
]
},
{
"cell_type": "code",
"execution_count": 490,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "234a1c0ac602243a035116a78ac444ba",
"grade": false,
"grade_id": "cell-b966200b0f75b9a8",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
" success: True\n",
" status: 0\n",
" fun: 0.023192544205894634\n",
" x: [ 1.921e-01 -1.097e-01 -4.424e-02 2.270e-01 6.099e-01]\n",
" nit: 13\n",
" jac: [-9.542e-06 -5.756e-05 -2.825e-05 -4.076e-05 -1.358e-05]\n",
" nfev: 102\n",
" njev: 17\n",
" hess_inv: <5x5 LbfgsInvHessProduct with dtype=float64>\n"
]
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"from scipy.optimize import minimize\n",
"\n",
"np.random.seed(0)\n",
"omega = np.random.randn(1,5)\n",
"\n",
"def mean_square_error(omega):\n",
" return (1/(2*len(X)) * np.sum((np.dot(X, omega.reshape(1,5).T) - Y) ** 2 ))\n",
"\n",
"\n",
"res = minimize(mean_square_error, omega.flatten(), method='L-BFGS-B')\n",
"print(res)\n",
"omega_op = np.array(res.x).reshape(5,1)\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 491,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "89a3a76e8ed6dd7853fc48dd7a3f97a8",
"grade": false,
"grade_id": "cell-b9c9a62fa3458c5a",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"0.9733333333333334"
]
},
"execution_count": 491,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"Y_pred = prediction(X, omega_op)\n",
"acc = accuracy(Y_pred, Y)\n",
"acc\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "code",
"execution_count": 492,
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "code",
"checksum": "da90ed7f603088289285a7b47d62cd77",
"grade": false,
"grade_id": "cell-a26f29b335992eb4",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##### DO NOT CHANGE #####\n",
"\n",
"plot_predict_vs_real(Y_pred, Y, 'final class distribution')\n",
"\n",
"##### DO NOT CHANGE #####"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "02ec63fee222f86896d40a010e15a67f",
"grade": false,
"grade_id": "cell-11e0b1c3d98cf009",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"You can find a good tutorial of SciPy optimization [here](https://machinelearningmastery.com/function-optimization-with-scipy/). \n",
"\n",
"If you have more questions, please refer to the SciPy [documentation](https://docs.scipy.org/doc/scipy/reference/optimize.html).\n",
"\n",
"For the introduction of the \"L-BFGS-B\" search algorithm using here, please read [this](http://sepwww.stanford.edu/data/media/public/docs/sep117/antoine1/paper_html/node6.html).\n",
"\n",
"***If you want to play around with this library, please do this in a separate notebook that is not submitted!***"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": false,
"editable": false,
"nbgrader": {
"cell_type": "markdown",
"checksum": "080ee7ded5103ae39977e143e7202939",
"grade": false,
"grade_id": "cell-4c22e42798de2a83",
"locked": true,
"schema_version": 3,
"solution": false,
"task": false
}
},
"source": [
"Thank you very much for participating the exercise! I hope you find it helpful to understand math basics in machine learning!\n",
"\n",
"Please let us know if you have any thought/comment/suggestion to this exercise by taking the exercise evaluation. Your feedback is valuable to us and is highly appreciated!"
]
}
],
"metadata": {
"jupytext": {
"formats": "ipynb,py:light"
},
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.8.19"
}
},
"nbformat": 4,
"nbformat_minor": 4
}