727 lines
337 KiB
Plaintext
727 lines
337 KiB
Plaintext
{
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"cells": [
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"<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
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"doconce format html clustering.do.txt -->"
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]
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},
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{
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"cell_type": "markdown",
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"id": "4102577e",
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"metadata": {
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},
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"source": [
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"# Clustering and Unsupervised Learning\n",
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"\n",
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"In general terms cluster analysis, or clustering, is the task of grouping a\n",
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"data-set into different distinct categories based on some measure of equality of\n",
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"the data. This measure is often referred to as a **metric** or **similarity\n",
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"measure** in the literature (note: sometimes we deal with a **dissimilarity\n",
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"measure** instead). Usually, these metrics are formulated as some kind of\n",
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"distance function between points in a high-dimensional space.\n",
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"\n",
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"The simplest, and also the most\n",
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"common is the **Euclidean distance**.\n",
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"\n",
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"The simplest of all clustering algorithms is the **k-means algorithm**\n",
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", sometimes also referred to as *Lloyds algorithm*. It is the simplest and also\n",
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"the most common. From its simplicity it obtains both strengths and weaknesses.\n",
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"These will be discussed in more detail later. The $k$-means algorithm is a\n",
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"**centroid based** clustering algorithm.\n",
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"\n",
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"Assume, we are given $n$ data points and we wish to split the data into $K < n$\n",
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"different categories, or clusters. We label each cluster by an integer"
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]
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},
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{
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"cell_type": "markdown",
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"id": "0deb3255",
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"metadata": {
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"editable": true
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},
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"source": [
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"$$\n",
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"k\\in\\{1, \\cdots, K \\}.\n",
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"$$"
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]
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},
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{
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"cell_type": "markdown",
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"id": "cfd8fe00",
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"metadata": {
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"editable": true
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},
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"source": [
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"In the basic k-means algorithm each point is assigned to only\n",
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"one cluster $k$, and these assignments are *non-injective* i.e. many-to-one. We\n",
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"can think of these mappings as an encoder $k = C(i)$, which assigns the $i$-th\n",
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"data-point $\\bf x_i$ to the $k$-th cluster.\n",
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"\n",
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"$k$-means algorithm in words:\n",
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"1. We start with guesses / random initializations of our $k$ cluster centers/centroids\n",
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"\n",
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"2. For each centroid the points that are most similar are identified\n",
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"\n",
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"3. Then we move / replace each centroid with a coordinate average of all the points that were assigned to that centroid.\n",
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"\n",
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"4. Iterate 2-3 until the centroids no longer move (to some tolerance)\n",
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"\n",
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"We assume we have $n$ data-points"
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]
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},
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{
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"cell_type": "markdown",
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"id": "a29b7459",
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"metadata": {
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"editable": true
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},
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"source": [
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"<!-- Equation labels as ordinary links -->\n",
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"<div id=\"eq:kmeanspoints\"></div>\n",
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"\n",
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"$$\n",
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"\\begin{equation}\\label{eq:kmeanspoints} \\tag{1}\n",
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" \\boldsymbol{x_i} = \\{x_{i, 1}, \\cdots, x_{i, p}\\}\\in\\mathbb{R}^p.\n",
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"\\end{equation}\n",
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"$$"
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]
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},
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{
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"cell_type": "markdown",
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"id": "98f9e37b",
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"metadata": {
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"editable": true
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},
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"source": [
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"which we wish to group into $K < n$ clusters. For our dissimilarity measure we\n",
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"use the *squared Euclidean distance*"
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]
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},
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{
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"cell_type": "markdown",
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"id": "d3c32572",
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"metadata": {
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"editable": true
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},
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"source": [
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"<!-- Equation labels as ordinary links -->\n",
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"<div id=\"eq:squaredeuclidean\"></div>\n",
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"\n",
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"$$\n",
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"\\begin{equation}\\label{eq:squaredeuclidean} \\tag{2}\n",
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" d(\\boldsymbol{x_i}, \\boldsymbol{x_i'}) = \\sum_{j=1}^p(x_{ij} - x_{i'j})^2\n",
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" = ||\\boldsymbol{x_i} - \\boldsymbol{x_{i'}}||^2\n",
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"\\end{equation}\n",
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"$$"
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]
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},
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{
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"cell_type": "markdown",
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"id": "29d24648",
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"metadata": {
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"editable": true
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},
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"source": [
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"We define the so called *within-cluster point scatter* which gives us a\n",
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"measure of how close each data point assigned to the same cluster tends to be to\n",
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"the all the others."
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]
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},
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{
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"cell_type": "markdown",
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"id": "fce5c797",
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"metadata": {
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"editable": true
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},
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"source": [
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"<!-- Equation labels as ordinary links -->\n",
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"<div id=\"eq:withincluster\"></div>\n",
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"\n",
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"$$\n",
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"\\begin{equation}\\label{eq:withincluster} \\tag{3}\n",
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" W(C) = \\frac{1}{2}\\sum_{k=1}^K\\sum_{C(i)=k}\n",
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" \\sum_{C(i')=k}d(\\boldsymbol{x_i}, \\boldsymbol{x_{i'}}) =\n",
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" \\sum_{k=1}^KN_k\\sum_{C(i)=k}||\\boldsymbol{x_i} - \\boldsymbol{\\overline{x_k}}||^2\n",
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"\\end{equation}\n",
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"$$"
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]
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},
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{
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"cell_type": "markdown",
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"id": "674a26b7",
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"metadata": {
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"editable": true
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},
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"source": [
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"where $\\boldsymbol{\\overline{x_k}}$ is the mean vector associated with the $k$-th\n",
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"cluster, and $N_k = \\sum_{i=1}^nI(C(i) = k)$, where the $I()$ notation is\n",
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"similar to the Kronecker delta (*Commonly used in statistics, it just means that\n",
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"when $i = k$ we have the encoder $C(i)$*). In other words, the within-cluster\n",
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"scatter measures the compactness of each cluster with respect to the data points\n",
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"assigned to each cluster. This is the quantity that the $k$-means algorithm aims\n",
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"to minimize. We refer to this quantity $W(C)$ as the within cluster scatter\n",
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"because of its relation to the *total scatter*.\n",
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"\n",
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"We have"
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]
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},
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{
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"cell_type": "markdown",
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"id": "f200e7ff",
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"metadata": {
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"editable": true
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},
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"source": [
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"<!-- Equation labels as ordinary links -->\n",
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"<div id=\"eq:totalscatter\"></div>\n",
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"\n",
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"$$\n",
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"\\begin{equation}\\label{eq:totalscatter} \\tag{4}\n",
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" T = W(C) + B(C) = \\frac{1}{2}\\sum_{i=1}^n\n",
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" \\sum_{i'=1}^nd(\\boldsymbol{x_i}, \\boldsymbol{x_{i'}})\n",
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" = \\frac{1}{2}\\sum_{k=1}^K\\sum_{C(i)=k}\n",
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" \\Big(\\sum_{C(i') = k}d(\\boldsymbol{x_i}, \\boldsymbol{x_{i'}})\n",
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" + \\sum_{C(i')\\neq k}d(\\boldsymbol{x_i}, \\boldsymbol{x_{i'}})\\Big).\n",
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"\\end{equation}\n",
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"$$"
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]
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},
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{
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"cell_type": "markdown",
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"id": "5471a94d",
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"metadata": {
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"editable": true
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},
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"source": [
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"This is a quantity that is conserved throughout the $k$-means algorithm. It can\n",
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"be thought of as the total amount of information in the data, and it is composed\n",
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"of the aforementioned within-cluster scatter and the *between-cluster scatter*\n",
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"$B(C)$. In methods such as principle component analysis the total scatter is not\n",
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"conserved.\n",
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"\n",
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"Given a cluster mean $\\boldsymbol{m_k}$ we define the **total cluster variance**"
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]
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},
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{
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"cell_type": "markdown",
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"id": "299a99ce",
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"metadata": {
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"editable": true
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},
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"source": [
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"<!-- Equation labels as ordinary links -->\n",
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"<div id=\"eq:totalclustervariance\"></div>\n",
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"\n",
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"$$\n",
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"\\begin{equation}\\label{eq:totalclustervariance} \\tag{5}\n",
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" \\min_{C, \\{\\boldsymbol{m_k}\\}_1^K}\\sum_{k=1}^KN_k\\sum||\\boldsymbol{x_i} - \\boldsymbol{m_k}||^2\n",
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"\\end{equation}\n",
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"$$"
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]
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},
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{
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"cell_type": "markdown",
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"id": "bdfa54ee",
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"metadata": {
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"editable": true
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},
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"source": [
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"Now we have all the pieces necessary to formally revisit the $k$-means algorithm.\n",
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"\n",
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"The $k$-means clustering algorithm goes as follows \n",
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"\n",
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"1. For a given cluster assignment $C$, and $k$ cluster means $\\left\\{m_1, \\cdots, m_k\\right\\}$. We minimize the total cluster variance with respect to the cluster means $\\{m_k\\}$ yielding the means of the currently assigned clusters.\n",
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"\n",
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"2. Given a current set of $k$ means $\\{m_k\\}$ the total cluster variance is minimized by assigning each observation to the closest (current) cluster mean. That is $$C(i) = \\underset{1\\leq k\\leq K}{\\mathrm{argmin}} ||\\boldsymbol{x_i} - \\boldsymbol{m_k}||^2$$\n",
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"\n",
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"3. Steps 1 and 2 are repeated until the assignments do not change."
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]
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},
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{
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"cell_type": "markdown",
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"id": "f5def86c",
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"metadata": {
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"editable": true
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},
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"source": [
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"## Codes and Approaches\n",
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"\n",
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"1. Before we start we specify a number $k$ which is the number of clusters we want to try to separate our data into.\n",
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"\n",
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"2. We initially choose $k$ random data points in our data as our initial centroids, *or means* (this is where the name comes from).\n",
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"\n",
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"3. Assign each data point to their closest centroid, based on the squared Euclidean distance.\n",
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"\n",
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"4. For each of the $k$ cluster we update the centroid by calculating new mean values for all the data points in the cluster.\n",
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"\n",
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"5. Iteratively minimize the within cluster scatter by performing steps (3, 4) until the new assignments stop changing (can be to some tolerance) or until a maximum number of iterations have passed.\n",
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"\n",
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"Let us now program the most basic version of the algorithm using nothing but\n",
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"Python with numpy arrays. This code is kept intentionally simple to gradually\n",
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"progress our understanding. There is no vectorization of any kind, and even most\n",
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"helper functions are not utilized.\n",
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"\n",
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"We need first a dataset to do our cluster analysis on. In our case\n",
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"this is a plain *vanilla* data set using random numbers using a\n",
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"Gaussian distribution."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "b0260188",
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"metadata": {
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"collapsed": false,
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"editable": true
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},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/jax/_src/lib/__init__.py:33: UserWarning: JAX on Mac ARM machines is experimental and minimally tested. Please see https://github.com/google/jax/issues/5501 in the event of problems.\n",
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" warnings.warn(\"JAX on Mac ARM machines is experimental and minimally tested. \"\n"
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]
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}
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],
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"source": [
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"%matplotlib inline\n",
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"\n",
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"import time\n",
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"import numpy as np\n",
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"import tensorflow as tf\n",
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"from matplotlib import image\n",
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"import matplotlib.pyplot as plt\n",
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"from sklearn.cluster import KMeans\n",
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"from IPython.display import display\n",
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"\n",
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"np.random.seed(2021)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "fe680e35",
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"metadata": {
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"editable": true
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},
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"source": [
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"Next we define functions, for ease of use later, to generate Gaussians and to\n",
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"set up our toy data set."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "9db2bbce",
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"metadata": {
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"collapsed": false,
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"editable": true
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},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
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]
|
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},
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|
"metadata": {
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"filenames": {
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"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/clustering_17_0.png"
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},
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"needs_background": "light"
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},
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"output_type": "display_data"
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}
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],
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"source": [
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"def gaussian_points(dim=2, n_points=1000, mean_vector=np.array([0, 0]),\n",
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" sample_variance=1):\n",
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" \"\"\"\n",
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" Very simple custom function to generate gaussian distributed point clusters\n",
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" with variable dimension, number of points, means in each direction\n",
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" (must match dim) and sample variance.\n",
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"\n",
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" Inputs:\n",
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" dim (int)\n",
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" n_points (int)\n",
|
|
" mean_vector (np.array) (where index 0 is x, index 1 is y etc.)\n",
|
|
" sample_variance (float)\n",
|
|
"\n",
|
|
" Returns:\n",
|
|
" data (np.array): with dimensions (dim x n_points)\n",
|
|
" \"\"\"\n",
|
|
"\n",
|
|
" mean_matrix = np.zeros(dim) + mean_vector\n",
|
|
" covariance_matrix = np.eye(dim) * sample_variance\n",
|
|
" data = np.random.multivariate_normal(mean_matrix, covariance_matrix,\n",
|
|
" n_points)\n",
|
|
" return data\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"def generate_simple_clustering_dataset(dim=2, n_points=1000, plotting=True,\n",
|
|
" return_data=True):\n",
|
|
" \"\"\"\n",
|
|
" Toy model to illustrate k-means clustering\n",
|
|
" \"\"\"\n",
|
|
"\n",
|
|
" data1 = gaussian_points(mean_vector=np.array([5, 5]))\n",
|
|
" data2 = gaussian_points()\n",
|
|
" data3 = gaussian_points(mean_vector=np.array([1, 4.5]))\n",
|
|
" data4 = gaussian_points(mean_vector=np.array([5, 1]))\n",
|
|
" data = np.concatenate((data1, data2, data3, data4), axis=0)\n",
|
|
"\n",
|
|
" if plotting:\n",
|
|
" fig, ax = plt.subplots()\n",
|
|
" ax.scatter(data[:, 0], data[:, 1], alpha=0.2)\n",
|
|
" ax.set_title('Toy Model Dataset')\n",
|
|
" plt.show()\n",
|
|
"\n",
|
|
"\n",
|
|
" if return_data:\n",
|
|
" return data\n",
|
|
"\n",
|
|
"\n",
|
|
"data = generate_simple_clustering_dataset()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "c0bb8c76",
|
|
"metadata": {
|
|
"editable": true
|
|
},
|
|
"source": [
|
|
"With the above dataset we start\n",
|
|
"implementing the $k$-means algorithm."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"id": "29a75065",
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"editable": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"\n",
|
|
"n_samples, dimensions = data.shape\n",
|
|
"n_clusters = 4\n",
|
|
"\n",
|
|
"# we randomly initialize our centroids\n",
|
|
"np.random.seed(2021)\n",
|
|
"centroids = data[np.random.choice(n_samples, n_clusters, replace=False), :]\n",
|
|
"distances = np.zeros((n_samples, n_clusters))\n",
|
|
"\n",
|
|
"# first we need to calculate the distance to each centroid from our data\n",
|
|
"for k in range(n_clusters):\n",
|
|
" for n in range(n_samples):\n",
|
|
" dist = 0\n",
|
|
" for d in range(dimensions):\n",
|
|
" dist += np.abs(data[n, d] - centroids[k, d])**2\n",
|
|
" distances[n, k] = dist\n",
|
|
"\n",
|
|
"# we initialize an array to keep track of to which cluster each point belongs\n",
|
|
"# the way we set it up here the index tracks which point and the value which\n",
|
|
"# cluster the point belongs to\n",
|
|
"cluster_labels = np.zeros(n_samples, dtype='int')\n",
|
|
"\n",
|
|
"# next we loop through our samples and for every point assign it to the cluster\n",
|
|
"# to which it has the smallest distance to\n",
|
|
"for n in range(n_samples):\n",
|
|
" # tracking variables (all of this is basically just an argmin)\n",
|
|
" smallest = 1e10\n",
|
|
" smallest_row_index = 1e10\n",
|
|
" for k in range(n_clusters):\n",
|
|
" if distances[n, k] < smallest:\n",
|
|
" smallest = distances[n, k]\n",
|
|
" smallest_row_index = k\n",
|
|
"\n",
|
|
" cluster_labels[n] = smallest_row_index"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "9fae7fc9",
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"editable": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"filenames": {
|
|
"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/clustering_20_0.png"
|
|
},
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure()\n",
|
|
"ax = fig.add_subplot()\n",
|
|
"unique_cluster_labels = np.unique(cluster_labels)\n",
|
|
"for i in unique_cluster_labels:\n",
|
|
" ax.scatter(data[cluster_labels == i, 0],\n",
|
|
" data[cluster_labels == i, 1],\n",
|
|
" label = i,\n",
|
|
" alpha = 0.2)\n",
|
|
" ax.scatter(centroids[:, 0], centroids[:, 1], c='black')\n",
|
|
"\n",
|
|
"ax.set_title(\"First Grouping of Points to Centroids\")\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "90d2a873",
|
|
"metadata": {
|
|
"editable": true
|
|
},
|
|
"source": [
|
|
"So what do we have so far? We have 'picked' $k$ centroids at random from our\n",
|
|
"data points. There are other ways of more intelligently choosing their\n",
|
|
"initializations, however for our purposes randomly is fine. Then we have\n",
|
|
"initialized an array 'distances' which holds the information of the distance,\n",
|
|
"*or dissimilarity*, of every point to of our centroids. Finally, we have\n",
|
|
"initialized an array 'cluster_labels' which according to our distances array\n",
|
|
"holds the information of to which centroid every point is assigned. This was the\n",
|
|
"first pass of our algorithm. Essentially, all we need to do now is repeat the\n",
|
|
"distance and assignment steps above until we have reached a desired convergence\n",
|
|
"or a maximum amount of iterations."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "378c29fc",
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"editable": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Converged at iteration 5\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"\n",
|
|
"max_iterations = 100\n",
|
|
"tolerance = 1e-8\n",
|
|
"\n",
|
|
"for iteration in range(max_iterations):\n",
|
|
" prev_centroids = centroids.copy()\n",
|
|
" for k in range(n_clusters):\n",
|
|
" # this array will be used to update our centroid positions\n",
|
|
" vector_mean = np.zeros(dimensions)\n",
|
|
" mean_divisor = 0\n",
|
|
" for n in range(n_samples):\n",
|
|
" if cluster_labels[n] == k:\n",
|
|
" vector_mean += data[n, :]\n",
|
|
" mean_divisor += 1\n",
|
|
"\n",
|
|
" # update according to the k means\n",
|
|
" centroids[k, :] = vector_mean / mean_divisor\n",
|
|
"\n",
|
|
" # we find the dissimilarity\n",
|
|
" for k in range(n_clusters):\n",
|
|
" for n in range(n_samples):\n",
|
|
" dist = 0\n",
|
|
" for d in range(dimensions):\n",
|
|
" dist += np.abs(data[n, d] - centroids[k, d])**2\n",
|
|
" distances[n, k] = dist\n",
|
|
"\n",
|
|
" # assign each point\n",
|
|
" for n in range(n_samples):\n",
|
|
" smallest = 1e10\n",
|
|
" smallest_row_index = 1e10\n",
|
|
" for k in range(n_clusters):\n",
|
|
" if distances[n, k] < smallest:\n",
|
|
" smallest = distances[n, k]\n",
|
|
" smallest_row_index = k\n",
|
|
"\n",
|
|
" cluster_labels[n] = smallest_row_index\n",
|
|
"\n",
|
|
" # convergence criteria\n",
|
|
" centroid_difference = np.sum(np.abs(centroids - prev_centroids))\n",
|
|
" if centroid_difference < tolerance:\n",
|
|
" print(f'Converged at iteration {iteration}')\n",
|
|
" break\n",
|
|
"\n",
|
|
" elif iteration == max_iterations:\n",
|
|
" print(f'Did not converge in {max_iterations} iterations')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "545a6742",
|
|
"metadata": {
|
|
"editable": true
|
|
},
|
|
"source": [
|
|
"We now have a simple , un-optimized $k$-means\n",
|
|
"clustering implementation. Lets plot the final result"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "d9d3973b",
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"editable": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
|
|
]
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},
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"metadata": {
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"filenames": {
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"image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/clustering_24_0.png"
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},
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"needs_background": "light"
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},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure()\n",
|
|
"ax = fig.add_subplot()\n",
|
|
"unique_cluster_labels = np.unique(cluster_labels)\n",
|
|
"for i in unique_cluster_labels:\n",
|
|
" ax.scatter(data[cluster_labels == i, 0],\n",
|
|
" data[cluster_labels == i, 1],\n",
|
|
" label = i,\n",
|
|
" alpha = 0.2)\n",
|
|
" ax.scatter(centroids[:, 0], centroids[:, 1], c='black')\n",
|
|
"\n",
|
|
"ax.set_title(\"Final Result of K-means Clustering\")\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "ee6a145f",
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"editable": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"def naive_kmeans(data, n_clusters=4, max_iterations=100, tolerance=1e-8):\n",
|
|
" start_time = time.time()\n",
|
|
"\n",
|
|
" n_samples, dimensions = data.shape\n",
|
|
" n_clusters = 4\n",
|
|
" #np.random.seed(2021)\n",
|
|
" centroids = data[np.random.choice(n_samples, n_clusters, replace=False), :]\n",
|
|
" distances = np.zeros((n_samples, n_clusters))\n",
|
|
"\n",
|
|
" for k in range(n_clusters):\n",
|
|
" for n in range(n_samples):\n",
|
|
" dist = 0\n",
|
|
" for d in range(dimensions):\n",
|
|
" dist += np.abs(data[n, d] - centroids[k, d])**2\n",
|
|
" distances[n, k] = dist\n",
|
|
"\n",
|
|
" cluster_labels = np.zeros(n_samples, dtype='int')\n",
|
|
"\n",
|
|
" for n in range(n_samples):\n",
|
|
" smallest = 1e10\n",
|
|
" smallest_row_index = 1e10\n",
|
|
" for k in range(n_clusters):\n",
|
|
" if distances[n, k] < smallest:\n",
|
|
" smallest = distances[n, k]\n",
|
|
" smallest_row_index = k\n",
|
|
"\n",
|
|
" cluster_labels[n] = smallest_row_index\n",
|
|
"\n",
|
|
" for iteration in range(max_iterations):\n",
|
|
" prev_centroids = centroids.copy()\n",
|
|
" for k in range(n_clusters):\n",
|
|
" vector_mean = np.zeros(dimensions)\n",
|
|
" mean_divisor = 0\n",
|
|
" for n in range(n_samples):\n",
|
|
" if cluster_labels[n] == k:\n",
|
|
" vector_mean += data[n, :]\n",
|
|
" mean_divisor += 1\n",
|
|
"\n",
|
|
" centroids[k, :] = vector_mean / mean_divisor\n",
|
|
"\n",
|
|
" for k in range(n_clusters):\n",
|
|
" for n in range(n_samples):\n",
|
|
" dist = 0\n",
|
|
" for d in range(dimensions):\n",
|
|
" dist += np.abs(data[n, d] - centroids[k, d])**2\n",
|
|
" distances[n, k] = dist\n",
|
|
"\n",
|
|
" for n in range(n_samples):\n",
|
|
" smallest = 1e10\n",
|
|
" smallest_row_index = 1e10\n",
|
|
" for k in range(n_clusters):\n",
|
|
" if distances[n, k] < smallest:\n",
|
|
" smallest = distances[n, k]\n",
|
|
" smallest_row_index = k\n",
|
|
"\n",
|
|
" cluster_labels[n] = smallest_row_index\n",
|
|
"\n",
|
|
" centroid_difference = np.sum(np.abs(centroids - prev_centroids))\n",
|
|
" if centroid_difference < tolerance:\n",
|
|
" print(f'Converged at iteration {iteration}')\n",
|
|
" print(f'Runtime: {time.time() - start_time} seconds')\n",
|
|
"\n",
|
|
" return cluster_labels, centroids\n",
|
|
"\n",
|
|
" print(f'Did not converge in {max_iterations} iterations')\n",
|
|
" print(f'Runtime: {time.time() - start_time} seconds')\n",
|
|
"\n",
|
|
" return cluster_labels, centroids"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
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"version": 3
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|
},
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"file_extension": ".py",
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"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.9.10"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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} |