{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Clustering Methods for Mixed Data Types\n", "\n", "\n", "### Notebook by [Marco Tavora](https://marcotavora.me/)\n", "\n", "
\n", "\n", "
\n", "\n", "\n", "## Table of contents\n", "\n", "1. [Introduction](#Introduction)\n", "2. [Data](#Data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "[[go back to the top]](#Table-of-contents)\n", "\n", "Using clustering algorithms we can understand how a sample might be comprised of different subgroups. In the present case, the data to be clustered includes both categorical and continuous data and standard distance measures such as Euclidean cannot be used. In the following we will use Gower distances." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data\n", "[[go back to the top]](#Table-of-contents)\n", "\n", "From [Kaggle](https://www.kaggle.com/c/rossmann-store-sales):\n", "> Rossmann operates over 3,000 drug stores in 7 European countries. Currently, Rossmann store managers are tasked with predicting their daily sales for up to six weeks in advance. Store sales are influenced by many factors, including promotions, competition, school and state holidays, seasonality, and locality. With thousands of individual managers predicting sales based on their unique circumstances, the accuracy of results can be quite varied.\n", "\n", "### Data dictionary\n", "\n", "I will consider only some of the data fields, namely:\n", "- Store - a unique Id for each store\n", "- StoreType - differentiates between 4 different store models: a, b, c, d\n", "- Assortment - describes an assortment level: a = basic, b = extra, c = extended\n", "- CompetitionDistance - distance in meters to the nearest competitor store\n", "- CompetitionOpenSinceMonth - gives the approximate month of the time the nearest competitor was opened" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
StoreStoreTypeAssortmentCompetitionDistanceCompetitionOpenSinceMonth
1 c a 1270 9
2 a a 57011
3 a a 1413012
4 c c 620 9
5 a a 29910 4
6 a a 31012
\n" ], "text/latex": [ "\\begin{tabular}{r|lllll}\n", " Store & StoreType & Assortment & CompetitionDistance & CompetitionOpenSinceMonth\\\\\n", "\\hline\n", "\t 1 & c & a & 1270 & 9 \\\\\n", "\t 2 & a & a & 570 & 11 \\\\\n", "\t 3 & a & a & 14130 & 12 \\\\\n", "\t 4 & c & c & 620 & 9 \\\\\n", "\t 5 & a & a & 29910 & 4 \\\\\n", "\t 6 & a & a & 310 & 12 \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "Store | StoreType | Assortment | CompetitionDistance | CompetitionOpenSinceMonth | \n", "|---|---|---|---|---|---|\n", "| 1 | c | a | 1270 | 9 | \n", "| 2 | a | a | 570 | 11 | \n", "| 3 | a | a | 14130 | 12 | \n", "| 4 | c | c | 620 | 9 | \n", "| 5 | a | a | 29910 | 4 | \n", "| 6 | a | a | 310 | 12 | \n", "\n", "\n" ], "text/plain": [ " Store StoreType Assortment CompetitionDistance CompetitionOpenSinceMonth\n", "1 1 c a 1270 9 \n", "2 2 a a 570 11 \n", "3 3 a a 14130 12 \n", "4 4 c c 620 9 \n", "5 5 a a 29910 4 \n", "6 6 a a 310 12 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "store <- read.csv('store.csv')\n", "store <- store[,c(\"Store\",\"StoreType\",\"Assortment\", \"CompetitionDistance\", \"CompetitionOpenSinceMonth\")]\n", "head(store)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the following packages:\n", "- `dplyr` for data cleaning\n", "- `cluster` for gower similarity and pam\n", "- `Rtsne` for t-SNE plot\n", "- `ggplot2` for visualization" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "set.seed(1680) \n", "library(dplyr) \n", "library(cluster)\n", "library(Rtsne) \n", "library(ggplot2) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Clustering Analysis of Mixed Types\n", "[[go back to the top]](#Table-of-contents)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From R-bloggers:\n", "> While many introductions to cluster analysis typically review a simple application using continuous variables, clustering data of mixed types (e.g., continuous, ordinal, and nominal) is often of interest. The following is an overview of one approach to clustering data of mixed types using Gower distance, partitioning around medoids, and silhouette width." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decisions to make\n", "- Calculate the distances\n", "- Choose the cluster algo\n", "- Selecting the number of clusters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gower distance\n", "[[go back to the top]](#Table-of-contents)\n", "\n", "- For each variable type there is a particular distance metric that works well for that type. The metric is scaled to fall between 0 and 1. After that, a linear combination with user-specified weights (e.g. averages) is calculated and a final distance matrix is build. The metrics by type [are](https://www.r-bloggers.com/clustering-mixed-data-types-in-r/):\n", "\n", " - quantitative (interval): range-normalized Manhattan distance\n", " - ordinal: variable is first ranked, then Manhattan distance is used with a special adjustment for ties\n", " - nominal: variables of k categories are converted into k binary columns and the Dice coefficient is used\n", "\n", "- The Gower distance is sensitive to non-normality and outliers of continuous variables. Hence pre-processing is a recommended. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pre-processing to eliminate non-normality" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "library(gpairs)\n", "library(corrplot)\n", "library(gplots)\n", "library(car)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "store$CompetitionDistance: 0.0989815175631127" ], "text/latex": [ "\\textbf{store\\textbackslash{}\\$CompetitionDistance:} 0.0989815175631127" ], "text/markdown": [ "**store$CompetitionDistance:** 0.0989815175631127" ], "text/plain": [ "store$CompetitionDistance \n", " 0.09898152 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "store$CompetitionOpenSinceMonth: 0.907653009482875" ], "text/latex": [ "\\textbf{store\\textbackslash{}\\$CompetitionOpenSinceMonth:} 0.907653009482875" ], "text/markdown": [ "**store$CompetitionOpenSinceMonth:** 0.907653009482875" ], "text/plain": [ "store$CompetitionOpenSinceMonth \n", " 0.907653 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lambda_CompetitionDistance <- coef(powerTransform(store$CompetitionDistance))\n", "lambda_CompetitionOpenSinceMonth <- coef(powerTransform(store$CompetitionOpenSinceMonth))\n", "lambda_CompetitionDistance\n", "lambda_CompetitionOpenSinceMonth" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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ggggAACCCCAAAIIIIAAAggggAACJRfoVfL20TwEEEAg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", "text/plain": [ "Plot with title “Transformed Distribution”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "par(mfrow=c(2,1))\n", "hist(store$CompetitionDistance, xlab=\"Original variable\", \n", " main=\"Histogram of original variable\")\n", "hist(bcPower(store$CompetitionDistance, lambda_CompetitionDistance),\n", " xlab=\"Box-Cox Transform\", ylab=\"New Distribution\", \n", " main=\"Transformed Distribution\")" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "scrolled": true }, "outputs": [], "source": [ "store$CompetitionDistance <- bcPower(store$CompetitionDistance, lambda_CompetitionDistance) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Drop `NA`" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "store = na.omit(store)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "library(cluster) " ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "gower.dist <- daisy(store, metric = \"gower\")" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "289180 dissimilarities, summarized :\n", " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", "0.0009001 0.2809200 0.3934200 0.3962600 0.5256600 0.9041400 \n", "Metric : mixed ; Types = I, N, N, I, I \n", "Number of objects : 761" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "summary(gower.dist)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choosing a clustering algorithm\n", "\n", "We will use partition around medoids (PAM)." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Medoids:\n", " ID \n", " [1,] \"458\" \"668\"\n", " [2,] \"139\" \"200\"\n", " [3,] \"345\" \"519\"\n", " [4,] \"430\" \"630\"\n", " [5,] \"339\" \"507\"\n", " [6,] \"335\" \"501\"\n", " [7,] \"253\" \"369\"\n", " [8,] \"219\" \"317\"\n", " [9,] \"396\" \"590\"\n", "[10,] \"559\" \"813\"\n", "Clustering vector:\n", " 1 2 3 4 5 6 7 8 9 10 11 14 15 17 18 20 \n", " 1 2 2 3 4 2 5 2 6 2 6 4 7 2 7 8 \n", " 21 23 24 25 27 28 30 31 33 34 35 36 37 38 39 44 \n", " 3 8 5 1 4 2 4 7 5 1 9 6 1 8 2 2 \n", " 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 \n", " 8 1 5 2 9 8 5 7 6 9 2 7 7 5 6 9 \n", " 61 63 65 67 71 72 73 75 76 77 78 81 82 84 85 86 \n", " 6 3 5 5 2 2 6 9 7 9 2 4 4 6 2 4 \n", " 87 88 89 90 95 96 98 99 102 103 104 106 107 108 109 110 \n", " 2 2 2 2 2 4 9 3 2 7 2 2 2 9 6 5 \n", " 112 113 115 116 117 118 119 120 121 122 123 124 125 126 127 131 \n", " 2 9 7 4 2 9 5 8 2 5 2 4 2 8 8 1 \n", " 133 134 136 137 138 139 140 142 143 146 148 149 150 151 153 156 \n", " 2 2 6 2 6 4 6 2 8 9 2 8 3 9 2 4 \n", " 157 159 160 161 162 163 164 165 166 167 169 170 173 177 180 181 \n", " 6 8 9 5 7 4 2 4 5 4 8 2 2 4 8 4 \n", " 185 186 189 190 191 192 196 197 198 199 200 202 203 204 205 208 \n", " 7 2 8 2 2 7 1 1 2 9 2 7 3 2 2 1 \n", " 209 210 211 212 213 214 219 220 221 222 223 225 229 230 231 232 \n", " 6 8 6 6 7 8 4 2 9 2 9 8 7 9 9 3 \n", " 235 236 237 240 242 244 246 247 248 249 254 255 256 257 258 260 \n", " 4 2 2 4 8 8 1 9 6 9 8 3 6 2 2 2 \n", " 261 262 263 264 266 267 268 269 270 272 275 276 278 280 281 282 \n", " 7 8 5 4 5 1 4 6 2 2 8 2 5 9 9 2 \n", " 286 287 289 290 292 293 294 295 296 297 298 299 300 301 302 303 \n", " 4 1 8 4 2 3 4 2 4 2 8 9 5 5 9 2 \n", " 304 305 306 307 308 311 312 314 315 316 317 318 319 320 321 322 \n", " 2 3 4 2 2 6 8 2 5 8 8 7 6 6 3 4 \n", " 323 325 326 327 328 329 332 333 334 336 337 341 343 344 347 349 \n", " 7 5 8 3 2 4 4 5 9 2 7 2 8 5 7 3 \n", " 351 354 355 356 357 358 360 361 363 366 367 368 369 370 371 372 \n", " 2 9 6 9 2 2 4 3 2 9 9 7 7 8 7 9 \n", " 374 375 376 377 378 380 381 382 385 386 389 390 391 393 395 399 \n", " 2 5 2 6 6 4 2 3 8 7 6 5 2 7 4 2 \n", " 400 401 402 403 405 406 407 410 413 415 416 418 419 421 423 427 \n", " 2 6 3 2 4 7 2 1 6 7 5 4 1 3 4 6 \n", " 428 429 430 432 433 434 439 440 443 444 446 447 448 449 450 451 \n", " 8 7 9 4 6 2 2 8 8 1 2 6 6 6 1 4 \n", " 452 455 459 460 461 462 464 465 466 467 468 469 472 475 476 477 \n", " 6 9 10 4 9 10 1 7 5 5 3 3 3 10 8 8 \n", " 478 479 480 482 483 484 487 488 489 490 492 494 496 500 501 502 \n", " 7 2 2 1 6 5 9 5 2 4 4 4 7 9 6 4 \n", " 503 506 507 509 511 513 514 518 519 521 522 523 524 525 527 529 \n", " 9 2 5 4 10 10 3 7 3 8 9 3 6 9 7 9 \n", " 532 534 535 536 537 538 539 541 542 543 544 545 546 547 548 550 \n", " 6 8 4 6 4 4 4 6 10 1 2 5 4 9 7 9 \n", " 551 552 553 555 556 558 559 560 563 565 567 569 570 571 572 573 \n", " 6 4 1 8 9 4 8 3 4 6 1 10 10 8 7 10 \n", " 575 576 578 579 580 581 583 585 586 587 588 590 592 593 594 595 \n", " 4 1 8 1 5 10 10 7 6 9 7 9 4 5 10 3 \n", " 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 \n", " 1 10 1 9 9 8 4 4 8 8 10 10 5 10 4 10 \n", " 612 613 614 615 616 619 621 623 624 625 626 627 629 630 632 633 \n", " 9 1 10 8 6 4 4 4 6 4 3 3 8 4 4 8 \n", " 635 636 638 639 641 642 643 644 646 647 648 649 650 653 654 655 \n", " 4 1 8 10 6 3 4 1 10 5 8 10 10 9 1 9 \n", " 656 657 659 660 661 663 664 665 667 668 669 671 672 674 675 676 \n", " 8 3 8 10 9 5 9 10 9 1 8 5 1 10 10 1 \n", " 677 679 682 683 685 686 688 689 692 694 695 698 701 702 703 704 \n", " 8 10 1 10 10 4 10 8 10 6 10 4 8 10 4 7 \n", " 705 706 707 708 709 710 711 712 714 715 716 718 720 721 723 725 \n", " 10 8 6 3 10 8 8 10 9 4 8 4 5 6 9 9 \n", " 726 727 729 730 733 735 737 738 739 740 743 744 745 746 747 748 \n", " 5 4 3 1 1 7 4 9 9 8 10 10 10 7 3 8 \n", " 749 750 751 752 753 754 755 758 759 760 761 763 765 768 770 771 \n", " 10 8 10 4 9 3 9 5 10 4 10 7 5 6 5 10 \n", " 774 775 776 777 778 779 781 782 784 785 786 787 788 789 790 791 \n", " 6 9 1 9 10 4 4 3 10 9 10 3 5 5 9 4 \n", " 792 793 794 796 797 798 800 801 805 807 809 810 811 812 813 814 \n", " 8 8 3 6 10 4 8 8 8 4 10 9 10 8 10 9 \n", " 815 817 819 821 822 823 825 826 827 828 831 833 834 835 836 837 \n", " 4 4 6 10 6 6 4 5 5 9 10 9 4 10 10 5 \n", " 839 840 841 842 843 844 845 846 848 850 852 856 857 858 859 860 \n", " 1 10 10 9 1 10 8 5 6 8 1 4 1 10 1 3 \n", " 862 863 864 867 868 869 870 872 873 875 876 878 881 882 883 885 \n", " 5 6 10 9 9 1 4 6 10 8 4 9 4 4 10 10 \n", " 886 888 889 892 894 896 897 900 901 902 903 904 905 906 908 912 \n", " 6 8 8 4 10 6 3 4 5 4 9 9 10 10 10 3 \n", " 914 915 916 917 918 920 921 922 923 924 925 926 929 931 933 935 \n", " 3 7 10 4 5 4 10 8 10 4 1 7 6 6 5 5 \n", " 936 938 940 941 944 945 946 947 949 950 952 953 954 955 956 957 \n", " 4 10 9 10 1 5 10 4 4 10 9 4 4 9 10 9 \n", " 958 959 963 966 967 969 970 971 974 977 979 980 981 983 985 986 \n", " 10 6 6 4 6 6 10 1 4 10 6 10 9 4 3 10 \n", " 987 988 989 992 993 994 995 996 997 998 999 1000 1002 1003 1006 1007 \n", " 1 10 10 10 9 10 8 1 9 10 7 5 9 10 3 3 \n", "1008 1009 1010 1011 1012 1013 1015 1017 1018 1019 1020 1021 1023 1024 1025 1026 \n", " 6 10 9 6 9 4 9 1 3 9 10 4 1 3 10 1 \n", "1027 1029 1030 1031 1032 1033 1034 1038 1039 1040 1041 1043 1044 1045 1046 1048 \n", " 6 4 4 8 7 4 4 8 6 4 1 1 1 6 7 9 \n", "1049 1050 1051 1053 1055 1057 1059 1062 1067 1070 1071 1072 1074 1075 1077 1081 \n", " 10 9 1 10 1 9 1 8 9 3 4 6 3 6 10 4 \n", "1082 1085 1086 1087 1088 1089 1092 1093 1094 1095 1097 1098 1099 1101 1102 1103 \n", " 1 1 10 9 4 8 10 3 8 10 4 10 5 9 10 9 \n", "1104 1105 1106 1107 1108 1109 1110 1111 1112 \n", " 8 3 6 10 4 1 3 10 3 \n", "Objective function:\n", " build swap \n", "0.1114728 0.1076116 \n", "\n", "Available components:\n", "[1] \"medoids\" \"id.med\" \"clustering\" \"objective\" \"isolation\" \n", "[6] \"clusinfo\" \"silinfo\" \"diss\" \"call\" " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sil_width <- c(NA)\n", "\n", "for(i in 2:10){\n", " \n", " pam_fit <- pam(gower.dist,\n", " diss = TRUE,\n", " k = i)\n", " \n", " sil_width[i] <- pam_fit$silinfo$avg.width\n", " \n", "}\n", "\n", "pam_fit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot sihouette width (higher is better)\n", "\n", "The number of clusters with highest silhouette width is 6 from the plot below." ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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3oP2D4BAgQIdF2gLl5+RvIfizp6Yl7X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\n/LfGZ61rtas10tOXqjWRcQggUD0Bfzr3vOI/DCdUb/fZ44QCc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ggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAII\nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAA\nAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA\nAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAII\nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC+RD4f2lSt+XSD9IoAAAA\nAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "par(mfrow=c(1,1))\n", "plot(1:10, sil_width,\n", " xlab = \"Number of clusters\",\n", " ylab = \"Silhouette Width\")\n", "lines(1:10, sil_width)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interpretation" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[1]]\n", " Store StoreType Assortment CompetitionDistance\n", " Min. : 1.0 a: 0 a:57 Min. : 4.452 \n", " 1st Qu.: 447.0 b: 3 b: 2 1st Qu.: 8.330 \n", " Median : 668.0 c:56 c: 0 Median :10.278 \n", " Mean : 651.1 d: 0 Mean :10.222 \n", " 3rd Qu.: 957.5 3rd Qu.:12.179 \n", " Max. :1109.0 Max. :17.050 \n", " CompetitionOpenSinceMonth cluster \n", " Min. : 1.000 Min. :1 \n", " 1st Qu.: 4.000 1st Qu.:1 \n", " Median : 8.000 Median :1 \n", " Mean : 7.169 Mean :1 \n", " 3rd Qu.: 9.500 3rd Qu.:1 \n", " Max. :12.000 Max. :1 \n", "\n", "[[2]]\n", " Store StoreType Assortment CompetitionDistance\n", " Min. : 2.0 a:295 a:296 Min. : 4.044 \n", " 1st Qu.: 269.5 b: 1 b: 0 1st Qu.: 8.755 \n", " Median : 582.0 c: 0 c: 0 Median :10.642 \n", " Mean : 554.6 d: 0 Mean :10.780 \n", " 3rd Qu.: 835.2 3rd Qu.:12.543 \n", " Max. :1111.0 Max. :19.029 \n", " CompetitionOpenSinceMonth cluster \n", " Min. : 1.000 Min. :2 \n", " 1st Qu.: 4.000 1st Qu.:2 \n", " Median : 8.000 Median :2 \n", " Mean : 7.348 Mean :2 \n", " 3rd Qu.:10.000 3rd Qu.:2 \n", " Max. :12.000 Max. :2 \n", "\n", "[[3]]\n", " Store StoreType Assortment CompetitionDistance\n", " Min. : 4.0 a: 0 a: 0 Min. : 4.777 \n", " 1st Qu.: 355.0 b: 0 b: 0 1st Qu.: 9.476 \n", " Median : 626.0 c:51 c:51 Median :12.286 \n", " Mean : 614.7 d: 0 Mean :11.738 \n", " 3rd Qu.: 904.5 3rd Qu.:13.450 \n", " Max. :1112.0 Max. :19.120 \n", " CompetitionOpenSinceMonth cluster \n", " Min. : 1.000 Min. :3 \n", " 1st Qu.: 5.000 1st Qu.:3 \n", " Median : 8.000 Median :3 \n", " Mean : 7.098 Mean :3 \n", " 3rd Qu.:10.000 3rd Qu.:3 \n", " Max. :12.000 Max. :3 \n", "\n", "[[4]]\n", " Store StoreType Assortment CompetitionDistance\n", " Min. : 7.0 a:131 a: 0 Min. : 4.044 \n", " 1st Qu.: 267.5 b: 0 b: 0 1st Qu.: 8.942 \n", " Median : 507.0 c: 0 c:131 Median :12.131 \n", " Mean : 529.5 d: 0 Mean :12.009 \n", " 3rd Qu.: 822.5 3rd Qu.:14.907 \n", " Max. :1106.0 Max. :19.829 \n", " CompetitionOpenSinceMonth cluster \n", " Min. : 1.000 Min. :4 \n", " 1st Qu.: 4.000 1st Qu.:4 \n", " Median : 7.000 Median :4 \n", " Mean : 6.824 Mean :4 \n", " 3rd Qu.: 9.000 3rd Qu.:4 \n", " Max. :12.000 Max. :4 \n", "\n", "[[5]]\n", " Store StoreType Assortment CompetitionDistance\n", " Min. : 15.0 a: 0 a: 0 Min. : 4.777 \n", " 1st Qu.: 252.0 b: 0 b: 0 1st Qu.:11.489 \n", " Median : 523.5 c: 0 c:138 Median :13.495 \n", " Mean : 534.4 d:138 Mean :13.207 \n", " 3rd Qu.: 788.8 3rd Qu.:14.977 \n", " Max. :1103.0 Max. :18.636 \n", " CompetitionOpenSinceMonth cluster \n", " Min. : 2.000 Min. :5 \n", " 1st Qu.: 4.250 1st Qu.:5 \n", " Median : 9.000 Median :5 \n", " Mean : 7.659 Mean :5 \n", " 3rd Qu.:10.000 3rd Qu.:5 \n", " Max. :12.000 Max. :5 \n", "\n", "[[6]]\n", " Store StoreType Assortment CompetitionDistance\n", " Min. : 20.0 a: 0 a:85 Min. : 6.88 \n", " 1st Qu.: 278.5 b: 5 b: 1 1st Qu.:10.68 \n", " Median : 574.5 c: 0 c: 0 Median :12.80 \n", " Mean : 542.9 d:81 Mean :12.73 \n", " 3rd Qu.: 749.5 3rd Qu.:14.75 \n", " Max. :1104.0 Max. :19.28 \n", " CompetitionOpenSinceMonth cluster \n", " Min. : 1.000 Min. :6 \n", " 1st Qu.: 4.000 1st Qu.:6 \n", " Median : 7.000 Median :6 \n", " Mean : 6.826 Mean :6 \n", " 3rd Qu.:10.000 3rd Qu.:6 \n", " Max. :12.000 Max. :6 \n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pam_fit <- pam(gower.dist, diss = TRUE, k = 6)\n", "\n", "pam_results <- store %>%\n", " mutate(cluster = pam_fit$clustering) %>%\n", " group_by(cluster) %>%\n", " do(the_summary = summary(.))\n", "\n", "pam_results$the_summary" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
StoreStoreTypeAssortmentCompetitionDistanceCompetitionOpenSinceMonth
668668 c a 10.392919
569569 a a 10.502059
519519 c c 11.822678
452452 a c 11.170448
590590 d c 13.137159
677677 d a 11.041756
\n" ], "text/latex": [ "\\begin{tabular}{r|lllll}\n", " & Store & StoreType & Assortment & CompetitionDistance & CompetitionOpenSinceMonth\\\\\n", "\\hline\n", "\t668 & 668 & c & a & 10.39291 & 9 \\\\\n", "\t569 & 569 & a & a & 10.50205 & 9 \\\\\n", "\t519 & 519 & c & c & 11.82267 & 8 \\\\\n", "\t452 & 452 & a & c & 11.17044 & 8 \\\\\n", "\t590 & 590 & d & c & 13.13715 & 9 \\\\\n", "\t677 & 677 & d & a & 11.04175 & 6 \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "| | Store | StoreType | Assortment | CompetitionDistance | CompetitionOpenSinceMonth | \n", "|---|---|---|---|---|---|\n", "| 668 | 668 | c | a | 10.39291 | 9 | \n", "| 569 | 569 | a | a | 10.50205 | 9 | \n", "| 519 | 519 | c | c | 11.82267 | 8 | \n", "| 452 | 452 | a | c | 11.17044 | 8 | \n", "| 590 | 590 | d | c | 13.13715 | 9 | \n", "| 677 | 677 | d | a | 11.04175 | 6 | \n", "\n", "\n" ], "text/plain": [ " Store StoreType Assortment CompetitionDistance CompetitionOpenSinceMonth\n", "668 668 c a 10.39291 9 \n", "569 569 a a 10.50205 9 \n", "519 519 c c 11.82267 8 \n", "452 452 a c 11.17044 8 \n", "590 590 d c 13.13715 9 \n", "677 677 d a 11.04175 6 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "store[pam_fit$medoids, ]" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
StoreStoreTypeAssortmentCompetitionDistanceCompetitionOpenSinceMonth
668668 c a 10.392919
569569 a a 10.502059
519519 c c 11.822678
452452 a c 11.170448
590590 d c 13.137159
677677 d a 11.041756
\n" ], "text/latex": [ "\\begin{tabular}{r|lllll}\n", " & Store & StoreType & Assortment & CompetitionDistance & CompetitionOpenSinceMonth\\\\\n", "\\hline\n", "\t668 & 668 & c & a & 10.39291 & 9 \\\\\n", "\t569 & 569 & a & a & 10.50205 & 9 \\\\\n", "\t519 & 519 & c & c & 11.82267 & 8 \\\\\n", "\t452 & 452 & a & c & 11.17044 & 8 \\\\\n", "\t590 & 590 & d & c & 13.13715 & 9 \\\\\n", "\t677 & 677 & d & a & 11.04175 & 6 \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "| | Store | StoreType | Assortment | CompetitionDistance | CompetitionOpenSinceMonth | \n", "|---|---|---|---|---|---|\n", "| 668 | 668 | c | a | 10.39291 | 9 | \n", "| 569 | 569 | a | a | 10.50205 | 9 | \n", "| 519 | 519 | c | c | 11.82267 | 8 | \n", "| 452 | 452 | a | c | 11.17044 | 8 | \n", "| 590 | 590 | d | c | 13.13715 | 9 | \n", "| 677 | 677 | d | a | 11.04175 | 6 | \n", "\n", "\n" ], "text/plain": [ " Store StoreType Assortment CompetitionDistance CompetitionOpenSinceMonth\n", "668 668 c a 10.39291 9 \n", "569 569 a a 10.50205 9 \n", "519 519 c c 11.82267 8 \n", "452 452 a c 11.17044 8 \n", "590 590 d c 13.13715 9 \n", "677 677 d a 11.04175 6 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_clusters <- cbind(store)\n", "df_clusters[pam_fit$medoids, ]" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "df_clusters$cluster <- factor(pam_fit$clustering)\n", "\n", "tsne_obj <- Rtsne(gower.dist, is_distance = TRUE, perplexity = 28)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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x9NmXe/evDSWdlu79dXU1tzibIscWxR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ZNjpDrabPMM9o6RI0Fg+BAw/o8ZvivJzKMeAWOeIOOG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\niKRAt9TOsmr32qBZ0G53n+z4UjZWFEqnlLyAfXSUvO/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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tsne_data <- tsne_obj$Y %>%\n", " data.frame() %>%\n", " setNames(c(\"X\", \"Y\")) %>%\n", " mutate(cluster = factor(pam_fit$clustering),\n", " name = store$Store)\n", "\n", "ggplot(aes(x = X, y = Y), data = tsne_data) +\n", " geom_point(aes(color = cluster))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the largest cluster:" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "data = tsne_data %>% filter(X > 0, Y > 0)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
XYclustername
19.3261718.749652 2
19.0353415.244532 3
10.69588 4.650732 5
19.1004419.570342 6
18.4379814.775622 8
17.1116514.657902 10
\n" ], "text/latex": [ "\\begin{tabular}{r|llll}\n", " X & Y & cluster & name\\\\\n", "\\hline\n", "\t 19.32617 & 18.74965 & 2 & 2 \\\\\n", "\t 19.03534 & 15.24453 & 2 & 3 \\\\\n", "\t 10.69588 & 4.65073 & 2 & 5 \\\\\n", "\t 19.10044 & 19.57034 & 2 & 6 \\\\\n", "\t 18.43798 & 14.77562 & 2 & 8 \\\\\n", "\t 17.11165 & 14.65790 & 2 & 10 \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "X | Y | cluster | name | \n", "|---|---|---|---|---|---|\n", "| 19.32617 | 18.74965 | 2 | 2 | \n", "| 19.03534 | 15.24453 | 2 | 3 | \n", "| 10.69588 | 4.65073 | 2 | 5 | \n", "| 19.10044 | 19.57034 | 2 | 6 | \n", "| 18.43798 | 14.77562 | 2 | 8 | \n", "| 17.11165 | 14.65790 | 2 | 10 | \n", "\n", "\n" ], "text/plain": [ " X Y cluster name\n", "1 19.32617 18.74965 2 2 \n", "2 19.03534 15.24453 2 3 \n", "3 10.69588 4.65073 2 5 \n", "4 19.10044 19.57034 2 6 \n", "5 18.43798 14.77562 2 8 \n", "6 17.11165 14.65790 2 10 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 290\n", "\\item 4\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 290\n", "2. 4\n", "\n", "\n" ], "text/plain": [ "[1] 290 4" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(data)\n", "dim(data)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [1] 2 3 5 6 8 10 14 17 27 28 30 39 44 48 55\n", " [16] 71 72 78 81 82 86 87 88 89 90 95 96 102 104 106\n", " [31] 107 112 116 117 121 123 124 125 133 134 137 139 142 148 153\n", " [46] 156 163 164 165 167 170 173 177 181 186 190 191 198 200 204\n", " [61] 205 219 220 222 235 236 237 240 257 258 260 264 268 270 272\n", " [76] 276 282 286 290 292 294 295 296 297 303 304 306 307 308 314\n", " [91] 322 328 329 332 336 341 351 357 358 360 363 374 376 380 381\n", "[106] 391 395 399 400 403 405 407 418 432 434 439 446 451 459 460\n", "[121] 462 475 479 480 489 490 492 502 506 509 511 513 535 537 538\n", "[136] 539 542 544 546 552 558 563 569 570 573 575 581 583 592 594\n", "[151] 597 602 603 606 607 609 610 611 614 619 621 623 625 630 632\n", "[166] 635 639 643 646 649 650 660 665 674 675 679 683 685 686 688\n", "[181] 692 695 698 702 703 705 709 712 715 718 727 737 743 744 745\n", "[196] 749 751 752 759 760 761 771 778 779 781 784 786 791 797 798\n", "[211] 807 809 811 813 815 817 821 825 831 834 835 836 840 841 844\n", "[226] 856 858 864 870 873 876 881 882 885 892 894 900 902 905 906\n", "[241] 916 917 920 921 923 924 936 938 941 946 947 949 950 953 954\n", "[256] 956 958 966 970 974 977 980 983 986 988 998 1003 1009 1013 1020\n", "[271] 1021 1025 1029 1030 1033 1034 1040 1049 1053 1071 1077 1086 1088 1092 1095\n", "[286] 1098 1102 1107 1108 1111\n" ] } ], "source": [ "colnames(data) <- c(\"X\", \"Y\", \"cluster\", 'Store')\n", "print(data %>% left_join(store, by = \"Store\") %>% collect %>%.[[\"Store\"]])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.5.0" } }, "nbformat": 4, "nbformat_minor": 2 }