"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# code for loading the format for the notebook\n",
"import os\n",
"\n",
"# path : store the current path to convert back to it later\n",
"path = os.getcwd()\n",
"os.chdir(os.path.join('..', '..', 'notebook_format'))\n",
"\n",
"from formats import load_style\n",
"load_style(plot_style = False)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ethen 2019-12-28 10:53:16 \n",
"\n",
"CPython 3.6.4\n",
"IPython 7.9.0\n",
"\n",
"numpy 1.16.5\n",
"matplotlib 3.1.1\n",
"scipy 1.3.1\n",
"sklearn 0.21.2\n"
]
}
],
"source": [
"os.chdir(path)\n",
"\n",
"# 1. magic for inline plot\n",
"# 2. magic to print version\n",
"# 3. magic so that the notebook will reload external python modules\n",
"# 4. magic to enable retina (high resolution) plots\n",
"# https://gist.github.com/minrk/3301035\n",
"%matplotlib inline\n",
"%load_ext watermark\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"%config InlineBackend.figure_format = 'retina'\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.mixture import GaussianMixture\n",
"from scipy.stats import norm, multivariate_normal\n",
"\n",
"%watermark -a 'Ethen' -d -t -v -p numpy,matplotlib,scipy,sklearn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Gaussian Mixture Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Clustering methods such as **K-means** have hard boundaries, meaning a data point either belongs to that cluster or it doesn't. On the other hand, clustering methods such as **Gaussian Mixture Models (GMM)** have soft boundaries, where data points can belong to multiple cluster at the same time but with different degrees of belief. e.g. a data point can have a 60% of belonging to cluster 1, 40% of belonging to cluster 2.\n",
"\n",
"Apart from using it in the context of clustering, one other thing that **GMM** can be useful for is outlier detection: Due to the fact that we can compute the likelihood of each point being in each cluster, the points with a \"relatively\" low likelihood (where \"relatively\" is a threshold that we just determine ourselves) can be labeled as outliers. But here we'll focus on the clustering application."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gaussian Distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In **GMM**, each cluster corresponds to a probability distribution, in this case the Gaussian distribution. What we want to do is to learn the parameters of these distributions, which is the Gaussian's mean $\\mu$ (mu), and the variance $\\sigma^2$ (sigma).\n",
"\n",
"The mathematical form of the Gaussian distribution in 1-dimension (univariate Gaussian) can be written as:\n",
"\n",
"$$N(x \\mid \\mu, \\sigma) = \\frac{1}{\\sigma\\sqrt{2\\pi}}e^{-\\dfrac{(x-\\mu)^2}{2\\sigma^2}}$$\n",
"\n",
"- This is also referred to as the probability density function (pdf).\n",
"- Gaussian distribution is commonly referred to as the Normal distribution, hence that's where the $N$ comes from.\n",
"- $x$ refers to the random observation over which this distribution is placed.\n",
"- The mean $\\mu$, controls the Gaussian's \"center position\" and the variance $\\sigma^2$, controls its \"shape\". To be precise, it is actually the standard deviation $\\sigma$, i.e. the square root of the variance that controls the distribution's shape."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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