{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [], "user_expressions": [] }, "source": [ "# DBSCAN & クラスタリングの実用上の問題" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "remove-output" ] }, "outputs": [], "source": [ "# 表形式のデータを操作するためのライブラリ\n", "import pandas as pd\n", "\n", "# 行列計算をおこなうためのライブラリ\n", "import numpy as np\n", "\n", "# 機械学習用ライブラリsklearnのKmeansクラス\n", "from sklearn.cluster import KMeans\n", "\n", "# 機械学習用ライブラリsklearnのDBSCANクラス\n", "from sklearn.cluster import DBSCAN\n", "\n", "# グラフ描画ライブラリ\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors as mcolors\n", "import seaborn as sns;\n", "sns.set(style='ticks')\n", "%matplotlib inline\n", "\n", "# ファイルの操作用\n", "import os\n", "\n", "\n", "# 警告文を表示させないおまじない\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [], "user_expressions": [] }, "source": [ "\n", "---\n", "## クイズ" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "(L4-Q1)=\n", "### Q1: クラスタ内誤差平方和\n", "\n", "[第3章で用いた人工データ](https://mlnote.hontolab.org/content/kmeans-and-hierarchical-clustering.html)(University of Eastern Finlandの計算学部が公開しているデータセット)に対して,K-meansクラスタリングを適用することを考える.\n", "データを可視化すれば最適なクラスタ数は推測できるが,ここでは最適なクラスタ数は未知であると仮定する.\n", "\n", "当該データをデータフレームに変換し,変数`s1_df`に格納しなさい.\n", "さらに,クラスタ数を3(`K=3`)として`s1_df`にK-meansクラスタリングを適用し,クラスタ内誤差平方和(SSE)を計算しなさい.\n", "\n", "※ ヒント: scikit-learnライブラリを用いた場合,SSEの値はクラスタリング実行後,モデルの`inertia_`プロパティにアクセスすれば取得できる([参考](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html))." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " x y\n", "0 664159 550946\n", "1 665845 557965\n", "2 597173 575538\n", "3 618600 551446\n", "4 635690 608046\n", "5 588100 557588\n", "6 582015 546191\n", "7 604678 574577\n", "8 572029 518313\n", "9 604737 574591" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "url = \"http://cs.joensuu.fi/sipu/datasets/s1.txt\"\n", "s1_df = pd.read_table(url, sep=\"\\s+\", header=None, names=['x', 'y'])\n", "\n", "# 最初の10件のデータを表示\n", "s1_df.head(10)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "213508776355610.8" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K = 3\n", "\n", "# クラスタリングを実行\n", "model = KMeans(n_clusters=K, init='random')\n", "model.fit(s1_df)\n", "\n", "# SSEの計算\n", "SSE = model.inertia_\n", "SSE" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "(L4-Q2)=\n", "### Q2: エルボー法によるクラスタ数の決定\n", "\n", "Q1におけるクラスタ数`K`の値を1から20まで1ずつ変化させ,それぞれの`K`におけるクラスタ内誤差平方和を求めなさい." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K = 1 --> SSE = 576807041183705.2\n", "K = 2 --> SSE = 343183593424387.25\n", "K = 3 --> SSE = 213508903491353.16\n", "K = 4 --> SSE = 138251485155489.56\n", "K = 5 --> SSE = 104935513328366.2\n", "K = 6 --> SSE = 79769282312091.64\n", "K = 7 --> SSE = 63576882802374.34\n", "K = 8 --> SSE = 48146924629521.44\n", "K = 9 --> SSE = 41042047966160.41\n", "K = 10 --> SSE = 35004560933478.71\n", "K = 11 --> SSE = 28911271571376.125\n", "K = 12 --> SSE = 23146652003743.785\n", "K = 13 --> SSE = 18272499282576.816\n", "K = 14 --> SSE = 13486733767168.47\n", "K = 15 --> SSE = 13339552719882.875\n", "K = 16 --> SSE = 8727376544840.372\n", "K = 17 --> SSE = 8495356626590.272\n", "K = 18 --> SSE = 8261106460001.316\n", "K = 19 --> SSE = 8159804257250.533\n", "K = 20 --> SSE = 7900878544599.463\n" ] } ], "source": [ "# SSEを格納するための変数\n", "SSEs = []\n", "\n", "for K in range(1, 21):\n", " # クラスタリングを実行\n", " model = KMeans(n_clusters=K, init='random')\n", " model.fit(s1_df)\n", " \n", " # SSEの計算\n", " SSE = model.inertia_\n", " print(f'K = {K} --> SSE = {SSE}')\n", "\n", " # SSEを格納\n", " SSEs.append(SSE)" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "(L4-Q3)=\n", "### Q3: エルボー法によるクラスタ数の決定\n", "\n", "Q2で計算したクラスタ内誤差平方和の値とエルボー法を用いて,Q1のデータにK-meansを適用する際の最適なクラスタ数を決めなさい." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.lineplot(x=[K for K in range(1, 21)], y=SSEs)\n", "ax.set_xlim((0, 20))\n", "ax.set_xlabel(\"Number of Clusters (K)\")\n", "ax.set_ylabel(\"SSE\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# クラスタリングを実行(K=13とした場合)\n", "model = KMeans(n_clusters=13, init='random')\n", "model.fit(s1_df)\n", "\n", "# 結果を格納\n", "labels = model.labels_\n", "\n", "plt.scatter(\n", " s1_df.x, s1_df.y,\n", " c=labels,\n", " alpha=0.4, # 透明度\n", " s=40, # マーカーのサイズ\n", " cmap=\"tab20_r\" # カラーパレット(20色対応)\n", ")" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [], "user_expressions": [] }, "source": [ "---\n", "## おまけクイズ\n", "\n", "### Q4: データ間の距離\n", "\n", "以下の関数`generate`は,各次元の定義域が$[-1, 1]$であるN次元空間に$K個のデータをランダムに生成する関数である.\n", "`generate`関数はK行N列の行列を返す." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "def generate(N, K):\n", " return np.random.uniform(-1, 1, (K, N))" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "例えば,$N=2$,$K=10$の場合,以下のように`generate`関数は2次元のデータを10個生成し,行列形式で返す.\n", "各行がデータ点に対応する." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.71922012, 0.79404868],\n", " [ 0.8542639 , -0.38525764],\n", " [-0.76125357, 0.31773887],\n", " [ 0.75518281, -0.84001539],\n", " [ 0.68740922, -0.44412347],\n", " [-0.92083514, -0.66183711],\n", " [ 0.39883398, 0.28542706],\n", " [-0.97272434, -0.67785437],\n", " [ 0.29322609, 0.82777789],\n", " [-0.12805932, 0.40164165]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "generate(N=2, K=10)" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "`generate`関数を使ってランダムに生成された2次元の10個のデータにについて,全データ間のユークリッド距離を計算し,その結果を変数`dist`に格納しなさい.\n", "\n", "※ ヒント: scipyライブラリの`spatial.distance.pdist`関数を用いるとよい([参考](https://docs.scipy.org/doc/scipy/reference/generated/scipy.spatial.distance.pdist.html#scipy.spatial.distance.pdist))." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([1.05965184, 0.52211314, 0.30829815, 1.07456711, 0.78142813,\n", " 1.02831203, 0.94178495, 0.68553864, 1.603236 , 1.51994411,\n", " 1.0063873 , 0.42035117, 0.28446327, 0.85969957, 0.92833385,\n", " 1.61625922, 1.9740061 , 0.52841058, 1.42806842, 1.25946985,\n", " 1.20991988, 1.08377411, 0.20084444, 1.3490191 , 0.90281022,\n", " 0.76454337, 0.75450816, 0.6527959 , 0.61005992, 1.32177749,\n", " 0.51140827, 0.47332886, 0.57326158, 1.47417951, 1.60869184,\n", " 0.82822971, 0.85507375, 1.37130382, 1.86909119, 0.13834446,\n", " 1.19504786, 1.13556505, 1.06089428, 1.04665613, 1.1767042 ])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 点同士の距離を計算する関数をインポート\n", "from scipy.spatial import distance\n", "\n", "# データ生成\n", "D = generate(N=2, K=10)\n", "\n", "# 距離計算\n", "dists = distance.pdist(D)\n", "\n", "# 表示\n", "dists" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Q5: データ間の距離の最小値と最大値\n", "\n", "Q4で求めた距離の最小値と最大値を求め,その差の絶対値`max_dist_delta`を計算しなさい.\n", "各次元の定義域がであるN次元空間においては,`max_dist_delta`の最大値は$2\\sqrt{N}$となる.\n", "このことを踏まえて,最大値が1となるよう`max_dist_delta`を正規化した`normalized_max_dist_delta`も計算しなさい.\n", "\n", "※ ヒント: リストやnumpy.darrayの要素の最小値,最大値を計算するには`min`,`max`関数が使える." ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "#### 補足: 距離の差を$2\\sqrt{N}$で正規化するのか?\n", "\n", "各次元の定義域が[-1, 1]であるN次元空間における点同士のユークリッド距離がとりうる最大値は,\n", "* 1次元空間では距離の最大値は$2=2\\sqrt{1}$\n", "* 2次元空間では距離の最大値は$2 \\sqrt{1^2 + 1^2}=2\\sqrt{2}$\n", "* 3次元空間では距離の最大値は$2 \\sqrt{1^2 + 1^2 + 1^2}=2\\sqrt{3}$\n", "\n", "となる.\n", "この観察から分かるように,N次元空間における点同士の距離がとり得る最大値は$2\\sqrt{N}$となり,次元数が増えるにつれてとりうる距離の最大値が大きくなる.\n", "そのため,単純に最大距離と最小距離の差の「絶対値」を調べても,相対的に差が小さくなっているのか分からない.\n", "そこで,距離を$2\\sqrt{N}$で割ることで,最大距離と最小距離の差を正規化(最大値が1になるように変換)する." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "1.8356616439063096" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "max_dist = max(dists)\n", "min_dist = min(dists)\n", "max_dist_delta = max_dist - min_dist\n", "\n", "max_dist_delta" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "0.6490043981850985" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import math\n", "\n", "normalized_max_dist_delta = max_dist_delta / (2 * math.sqrt(2))\n", "normalized_max_dist_delta" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Q6: 関数化\n", "\n", "Q4とQ5で行ったことを抽象化すると,以下のように書ける:\n", "1. 各次元の定義域が$[-1, 1]$である$N$次元空間上で$K$個のデータをランダムに生成\n", "2. 各データ間のユークリッド距離の最小値と最大値の差を計算\n", "3. ステップ2で求めた差を$2\\sqrt{N}$で正規化した値(`normalized_max_dist_delta`)を計算\n", "\n", "ステップ1からステップ3を任意の回数だけ繰り返し,得られた`normalized_max_dist_delta`の平均値を$\\bar{\\delta_{dist}}$と定義する.\n", "$\\bar{\\delta_{dist}}$を求める関数`calc_mean_normalized_max_dist_delta`を定義しなさい.\n", "なお,この関数の引数は`N`,`K`,`iter`(ステップ1からステップ3まで繰り返す回数)の3つとする." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "0.0911202043953244" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def calc_normalized_max_dist_delta(N=2, K=10): \n", " D = generate(N=2, K=10)\n", " dists = distance.pdist(D)\n", " max_dist = max(dists)\n", " min_dist = min(dists)\n", " max_dist_delta = max_dist - min_dist\n", " return max_dist_delta / (2 * math.sqrt(N))\n", "\n", "\n", "def calc_mean_normalized_max_dist_delta(N=2, K=10, iter=50):\n", " max_dist_deltas = []\n", " for i in range(iter):\n", " max_dist_delta = calc_normalized_max_dist_delta(N, K)\n", " max_dist_deltas.append(max_dist_delta)\n", "\n", " return np.mean(max_dist_deltas)\n", "\n", "\n", "calc_mean_normalized_max_dist_delta(N=100, K=50, iter=50)" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Q7: 次元の呪い\n", "\n", "Q6で定義した$\\bar{\\delta_{dist}}$について,$K=50$,$iter=100$と固定して$N$を1から1000まで1ずつ変化させたときにどのように変化するか観察しなさい." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N_max = 1000\n", "iter = 100\n", "K = 50\n", "\n", "means = []\n", "for N in range(1, N_max + 1):\n", " mean_normalized_max_dist_delta = calc_mean_normalized_max_dist_delta(N, K, iter)\n", " means.append(mean_normalized_max_dist_delta)\n", " \n", "# 折れ線グラフ上に結果を可視化\n", "ax = sns.lineplot(x=list(range(1, N_max + 1)), y=means)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "次元数が大きくなると,最大距離と最小距離の差がゼロに近づいていくことが分かる.\n", "今回の実験ではN次元空間にデータがランダム(一様)に散らばっていることを想定していたが,実際はデータの分布には何らかの偏りがある.\n", "その場合でも,高次元空間ではデータ間の類似度・距離の扱いが難しいことには変わりはない.\n", "高次元データは特徴選択・次元圧縮などを行って,低次元データに変換して機械学習を行う必要がある." ] } ], "metadata": { "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }