From 06ec1f71de0f3c2c6c0cc5510ead03b3be84c186 Mon Sep 17 00:00:00 2001 From: Mokhov Andrey Date: Mon, 27 Mar 2023 08:37:58 +0300 Subject: [PATCH] lec07: update --- README.md | 1 + lections/OATD_lec_7.pdf | Bin 2114378 -> 2175547 bytes lections/OATD_lec_7.pptx | Bin 2671926 -> 2729612 bytes lections/notebooks/lec7_clustering.ipynb | 279 ++++++++--------------- 4 files changed, 98 insertions(+), 182 deletions(-) diff --git a/README.md b/README.md index f87cb53..714e8c1 100644 --- a/README.md +++ b/README.md @@ -11,6 +11,7 @@ | 06.03.2023 | [Обзор методов классификации. Профильные методы](lections/OATD_lec_5_2.pdf) [pptx](lections/OATD_lec_5_2.pptx) | | 13.03.2023 | [Ансамблевые методы классификации](lections/OATD_lec_6.pdf) [pptx](lections/OATD_lec_6.pptx) | | 20.03.2023 | [Кластеризация данных](lections/OATD_lec_7.pdf) [pptx](lections/OATD_lec_7.pptx) | +| 27.03.2023 | Кластеризация данных(продожение) | ## [Журнал группы](https://docs.google.com/spreadsheets/d/1Ylxaq-dMsEjq2ValfzxFbz9bQC7gCFsfHVfGE9VSx3Y/edit#gid=0) diff --git a/lections/OATD_lec_7.pdf b/lections/OATD_lec_7.pdf index f4b47882c442837b9f4051014abc486384d9f5fc..67451fcbe7346bb71afdca84f3816cf91fc2644c 100644 GIT binary patch delta 706056 zcmZs?V~{4n)~?;2wr$&X_q1)>wx{*9ZQHhO+t##gyT94{oF8Aj@A*-YQ7i6>ipVRg zGVirACqn#zI}d|^~yWKCTRO$=QO3E4S062*b(fteHC zfTxLA|05t|V)?J|U(5M_?pc}tZ_A#j0`dXiVBzP7gLZatGBvb?gZ9W8PVTqcWP}a5 zf%t^yZUHw+EFj(VBO;7RGz5ii()PoPz;B?x^0a6K-!Zfoh)~-qdPs4ltP8YKEs*#o zpb|a8sHk~(Sl?9hf2puEKiAIi3xEYuu%=Ww64V5>>Xb{2H9u#PRoI4O-$fk5$J_?w 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ztwn_RLqPbjSH38JIM+dd*2agpNKzfovL=clK5G(9@APPkB1vWmUA`2+;FX;fl z<^u}kG#yCL^CJp`GXwB|w^1NxxH! zB)XYEU49cqg#=^*k&BNoAkfNK_>iS1GpGhzPh~#=$>n{RHomrQWcxd zw;1U1{kv7BTQ3H>T" ] @@ -52,7 +52,7 @@ "\n", "# Реализация иерархической кластеризации при помощи функции linkage\n", "\n", - "mergings = linkage(X, method='complete')\n", + "mergings = linkage(X, method='ward')\n", " \n", "# Строим дендрограмму, указав параметры удобные для отображения\n", "\n", @@ -78,7 +78,7 @@ } ], "source": [ - "T = fcluster (mergings,7, 'distance')\n", + "T = fcluster(mergings, 10, 'distance') # distance or maxclust\n", "print (T)" ] }, @@ -170,166 +170,24 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "objects of cluster #i: (array([ 4, 5, 18, 19, 24, 29, 30, 32, 35, 45, 49, 51, 52, 56, 57, 61, 69,\n", - " 75, 79, 85, 86, 87, 88, 90, 92], dtype=int64),)\n", - "-1.5612996617417532\n", - "Dataset: [[-8.92286405e+00 -6.91706407e+00]\n", - " [-1.02200406e+01 -4.15410662e+00]\n", - " [-6.19599603e+00 -7.40281646e+00]\n", - " [-8.86608312e+00 -2.43353173e+00]\n", - " [ 8.52518583e-02 3.64528297e+00]\n", - " [-7.57969185e-01 4.90898421e+00]\n", - " [-5.11445720e+00 -2.71929274e+00]\n", - " [-4.94333866e+00 -3.37609332e+00]\n", - " [-6.41124052e+00 -3.20783965e+00]\n", - " [-6.26302115e+00 -8.10666081e+00]\n", - " [-5.28846058e+00 -2.87525156e+00]\n", - " [-6.92171246e+00 -2.18729857e+00]\n", - " [-8.79879462e+00 -3.76819213e+00]\n", - " [-6.25738636e+00 -4.21080419e+00]\n", - " [-5.79112625e+00 -6.18612636e+00]\n", - " [-5.99413070e+00 -3.16189816e+00]\n", - " [-5.77161096e+00 -1.79555958e+00]\n", - " [-6.98706106e+00 -7.53484784e+00]\n", - " [-2.33080604e+00 4.39382527e+00]\n", - " [-1.60875215e+00 3.76949422e+00]\n", - " [-6.21872154e+00 -9.01274405e+00]\n", - " [-8.43799950e+00 -7.83806871e+00]\n", - " [-7.10357769e+00 -9.76900046e+00]\n", - " [-9.83767543e+00 -3.07717963e+00]\n", - " [-1.97451969e-01 2.34634916e+00]\n", - " [-5.71203468e+00 -2.84804837e+00]\n", - " [-3.74647007e+00 -3.33742024e+00]\n", - " [-6.02605758e+00 -5.96624846e+00]\n", - " [-1.06177133e+01 -3.25531651e+00]\n", - " [-2.80207810e+00 4.05714715e+00]\n", - " [-1.98197711e+00 4.02243551e+00]\n", - " [-7.25145196e+00 -8.25497398e+00]\n", - " [-2.35122066e+00 4.00973634e+00]\n", - " [-1.02066067e+01 -3.36672536e+00]\n", - " [-6.83238762e+00 -7.47067670e+00]\n", - " [-2.40671820e+00 6.09894447e+00]\n", - " [-6.27207532e+00 -8.77675883e+00]\n", - " [-5.77958445e+00 -3.26348862e+00]\n", - " [-1.03729975e+01 -4.59207895e+00]\n", - " [-5.94346448e+00 -7.74432757e+00]\n", - " [-8.29494032e+00 -7.60269061e+00]\n", - " [-5.46384410e+00 -2.04434336e+00]\n", - " [-4.37013706e+00 -1.97772876e+00]\n", - " [-9.57421815e+00 -3.87600848e+00]\n", - " [-6.32432573e+00 -9.10692871e+00]\n", - " [-5.25790464e-01 3.30659860e+00]\n", - " [-6.54430585e+00 -9.29756949e+00]\n", - " [-1.06683748e+01 -3.57578476e+00]\n", - " [-6.71433620e+00 -9.46551152e+00]\n", - " [-7.58703957e-01 3.72276201e+00]\n", - " [-1.14418263e+01 -4.45781441e+00]\n", - " [ 2.42271161e-04 5.14853403e+00]\n", - " [-1.92744799e+00 4.93684534e+00]\n", - " [-9.81115111e+00 -3.54329690e+00]\n", - " [-6.02599661e+00 -3.38542661e+00]\n", - " [-7.37499896e+00 -1.05880659e+01]\n", - " [-1.34052081e+00 4.15711949e+00]\n", - " [-1.35938959e+00 4.05424002e+00]\n", - " [-8.26415022e+00 -7.28988279e+00]\n", - " [-1.04448411e+01 -2.72884084e+00]\n", - " [-4.08409604e+00 -4.98514638e+00]\n", - " [-2.76017908e+00 5.55121358e+00]\n", - " [-9.50919436e+00 -4.02892026e+00]\n", - " [-9.79941278e+00 -3.83433990e+00]\n", - " [-6.23112678e+00 -3.31509970e+00]\n", - " [-5.43723143e+00 -7.81521641e+00]\n", - " [-7.54735453e+00 -2.77523774e+00]\n", - " [-9.48478268e+00 -4.25144138e+00]\n", - " [-6.38524280e+00 -3.70614752e+00]\n", - " [-1.61734616e+00 4.98930508e+00]\n", - " [-1.03415662e+01 -3.90975169e+00]\n", - " [-8.15979403e+00 -7.98384567e+00]\n", - " [-7.33110069e+00 -8.12061356e+00]\n", - " [-6.83710120e+00 -1.13390738e+00]\n", - " [-9.71212518e+00 -3.06820738e+00]\n", - " [-1.85139546e+00 3.51886090e+00]\n", - " [-1.03039165e+01 -3.12537390e+00]\n", - " [-6.53541686e+00 -8.01552689e+00]\n", - " [-5.59472593e+00 -3.40858706e+00]\n", - " [-7.94152277e-01 2.10495117e+00]\n", - " [-9.59422086e+00 -3.35977002e+00]\n", - " [-7.81213710e+00 -5.34984488e+00]\n", - " [-7.24580249e+00 -8.75714873e+00]\n", - " [-9.68207756e+00 -5.97554976e+00]\n", - " [-5.67247649e+00 -2.66850326e+00]\n", - " [-2.34673261e+00 3.56128423e+00]\n", - " [-1.83198811e+00 3.52863145e+00]\n", - " [-1.53940095e+00 5.02369298e+00]\n", - " [-1.78245013e+00 3.47072043e+00]\n", - " [-9.76761777e+00 -3.19133737e+00]\n", - " [-2.77687025e+00 4.64090557e+00]\n", - " [-5.61574598e+00 -4.71622380e+00]\n", - " [-1.46864442e+00 6.50674501e+00]\n", - " [-9.15872909e+00 -3.02224647e+00]\n", - " [-9.87589123e+00 -2.82386464e+00]\n", - " [-7.08949914e+00 -8.92838972e+00]\n", - " [-5.83343133e+00 -3.18894069e+00]\n", - " [-6.79189023e+00 -4.08581229e+00]\n", - " [-1.07521104e+01 -2.70048039e+00]\n", - " [-6.67567396e+00 -2.26477984e+00]]\n", - "centroids: [[-1.56129966 4.21898437]\n", - " [-7.07614521 -7.97322589]\n", - " [-9.96347347 -3.48454825]\n", - " [-5.80277079 -3.06555518]]\n", - "Number of centroids: 4\n", - "Number of obj in cluster #i: 25\n" - ] - } - ], - "source": [ - "c1 = np.where(T==1)\n", - "print ('objects of cluster #i:' ,c1)\n", - "s = np.mean(X[c1,0])\n", - "print (s)\n", - "print ('Dataset: ' ,X)\n", - "\n", - "print('centroids: ' ,mu)\n", - "print('Number of centroids:', np.shape(mu)[0])\n", - "print('Number of obj in cluster #i:', np.shape(c1)[1]) " - ] - }, - { - "cell_type": "code", - "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(array([ 4, 5, 18, 19, 24, 29, 30, 32, 35, 45, 49, 51, 52, 56, 57, 61, 69,\n", - " 75, 79, 85, 86, 87, 88, 90, 92], dtype=int64),)\n", - "25\n", "0 custer dist: [[43.11598405]]\n", "1 custer dist: [[67.14489804]]\n", "2 custer dist: [[16.25475117]]\n", "3 custer dist: [[38.36151505]]\n", - "Summary of squared cluster dist: [[164.87714831]]\n" + "Summary of squared cluster dist: [[164.87714831]]\n", + "Mean summary of squared cluster dist: [[41.21928708]]\n" ] } ], "source": [ "#Сумма квадратов расстояний до центроида\n", "\n", - "#print (X[c1,:])\n", - "print(c1)\n", - "\n", - "print(np.shape(c1)[1])\n", - "#print ( 'dist between 2 points', euclidean_distances(X[c1[0][0],:].reshape(1,-1), X[c1[0][3],:].reshape(1,-1)))\n", "cluster_dist=0\n", "for j in range(0, np.shape(mu)[0]):\n", " summ = 0\n", @@ -342,6 +200,8 @@ " cluster_dist = cluster_dist + summ\n", " print(j,' custer dist: ', summ)\n", "print (\"Summary of squared cluster dist: \", cluster_dist)\n", + "\n", + "print (\"Mean summary of squared cluster dist: \", cluster_dist / np.shape(mu)[0])\n", "\n" ] }, @@ -356,7 +216,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -365,7 +225,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -395,7 +255,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -416,14 +276,14 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Sum of squared distances of samples to their closest cluster center.: 766.1594927527818\n" + "Sum of squared distances of samples to their closest cluster center.: 369.5556880065657\n" ] } ], @@ -433,33 +293,9 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "C:\\Users\\Андрей\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n" - ] - }, { "name": "stdout", "output_type": "stream", @@ -471,14 +307,14 @@ "source": [ "inertia = []\n", "for k in range(1,10):\n", - " kmeans = KMeans(n_clusters=k, random_state=1).fit(X)\n", + " kmeans = KMeans(n_clusters=k, random_state=1, n_init=10).fit(X)\n", " inertia.append((kmeans.inertia_))\n", "print (inertia)" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -487,7 +323,7 @@ "" ] }, - "execution_count": 15, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, @@ -511,12 +347,12 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -526,9 +362,88 @@ } ], "source": [ + "kmeans = KMeans(n_clusters=4, random_state=1, n_init=10).fit(X)\n", "plt.scatter (X[:,0], X[:,1], c=kmeans.predict(X))\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import DBSCAN" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated number of clusters: 0\n", + "Estimated number of noise points: 100\n" + ] + }, + { + "data": { + "text/plain": [ + "array([-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", + " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", + " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", + " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", + " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,\n", + " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1],\n", + " dtype=int64)" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "db = DBSCAN(eps=0.3, min_samples=10).fit(X)\n", + "labels = db.labels_\n", + "n_clusters_ = len(set(labels)) - (1 if -1 in labels else 0)\n", + "n_noise_ = list(labels).count(-1)\n", + "\n", + "print(\"Estimated number of clusters: %d\" % n_clusters_)\n", + "print(\"Estimated number of noise points: %d\" % n_noise_)\n", + "labels" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter (X[:,0], X[:,1], c=labels)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": {