Credit-approval-R.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load the required packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: ROCR\n",
      "Loading required package: gplots\n",
      "\n",
      "Attaching package: ‘gplots’\n",
      "\n",
      "The following object is masked from ‘package:stats’:\n",
      "\n",
      "    lowess\n",
      "\n",
      "Loading required package: caret\n",
      "Loading required package: lattice\n",
      "Loading required package: ggplot2\n",
      "Loading required package: randomForest\n",
      "randomForest 4.6-14\n",
      "Type rfNews() to see new features/changes/bug fixes.\n",
      "\n",
      "Attaching package: ‘randomForest’\n",
      "\n",
      "The following object is masked from ‘package:ggplot2’:\n",
      "\n",
      "    margin\n",
      "\n",
      "Loading required package: e1071\n",
      "Loading required package: pROC\n",
      "Type 'citation(\"pROC\")' for a citation.\n",
      "\n",
      "Attaching package: ‘pROC’\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    cov, smooth, var\n",
      "\n"
     ]
    }
   ],
   "source": [
    "require (ROCR);\n",
    "require(caret)\n",
    "require(randomForest)\n",
    "require(e1071)\n",
    "require(pROC)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "tab <- read.table(\"data/credit.data\", dec = \".\", sep=\",\", header = F)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Convert categorical data into one-hot encoded columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in eval(expr, envir, enclos):\n",
      "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n",
      "“NAs introduced by coercion”"
     ]
    }
   ],
   "source": [
    "dummyTab <- dummyVars(\"~V1 + V4 + V5 + V6 + V7 + V13\", data = tab)\n",
    "dummyTab <- data.frame(predict(dummyTab, newdata = tab))\n",
    "dummyTab <- dummyTab[, !names(dummyTab) %in% c(\"V1..\", \"V4..\", \"V5..\", \"V6..\", \"V7..\", \"V13..\")]\n",
    "tab <- cbind(tab,dummyTab)\n",
    "tab$V9 <- as.numeric(tab$V9)-1\n",
    "tab$V10 <- as.numeric(tab$V10)-1\n",
    "tab$V12 <- as.numeric(tab$V12)-1\n",
    "tab$V16 <- as.numeric(tab$V16)-1\n",
    "tab$V16 <- as.factor(tab$V16)\n",
    "tab$V2 <- as.numeric(as.matrix(tab$V2))\n",
    "tab$V14 <- as.numeric(as.matrix(tab$V14))\n",
    "tab <- tab[,!names(tab) %in% c(\"V1\", \"V4\", \"V5\", \"V6\", \"V7\", \"V13\")]\n",
    "tab[is.na(tab)] <- 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Random Forest Classifier"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Grid search through RandomForest parameters to record ones that give highest AUC Score\n",
    "* `ntree = [1000]` - number of trees to consider\n",
    "* `mtry = [sq.root(n_feat)/2, sq.root(n_feat), 2*sq.root(n_feat)]` - number of features considered choosing best plit\n",
    "* `cutoff = ([0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9], [1-cutoff])` - percentage of trees that need to vote for True to classify True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "auc_best = 0.0\n",
    "n_feat = length(tab) - 1\n",
    "best = c(0,0,0)\n",
    "ntree = 1000\n",
    "    for (mtry in c(as.integer(sqrt(n_feat)/2), as.integer(sqrt(n_feat)), as.integer(sqrt(n_feat)*2))){\n",
    "        for (cutoff in c(0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9)){\n",
    "            rfc <- randomForest(V16~., data=tab, cutoff = c(cutoff, 1-cutoff), ntree=ntree, mtry=mtry)\n",
    "            recall <- rfc$confusion[4]/(rfc$confusion[3] + rfc$confusion[4])\n",
    "            precision <- rfc$confusion[4]/(rfc$confusion[4] + rfc$confusion[2])\n",
    "            rfc.roc <- roc(tab$V16, rfc$votes[,2])\n",
    "            auc_score <- auc(rfc.roc)\n",
    "            if (auc_score > auc_best){\n",
    "                auc_best = auc_score\n",
    "                best = c(ntree,mtry,cutoff)\n",
    "            }\n",
    "            }\n",
    "        }\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best AUC_Score settings: \n",
      " \n",
      " Ntree: 1000 \n",
      " Mtry:  6 \n",
      " Cutoff: 0.50 \n",
      " AUCScore: 0.9338"
     ]
    }
   ],
   "source": [
    "out <- sprintf(\"Best AUC_Score settings: \\n \\n Ntree: %4d \\n Mtry: %2d \\n Cutoff: %1.2f \\n AUCScore: %1.4f\",best[1], best[2], best[3], auc_best)\n",
    "cat(out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Train the classifier with best parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "rfc <- randomForest(V16~., data=tab, cutoff = c(best[3], 1-best[3]), ntree=best[1], mtry=best[2], importance = TRUE)\n",
    "save(rfc, file = \"models/credit-approval-classifier.RData\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot AUC result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"AUC Score: 0.9321\"\n"
     ]
    },
    {
     "data": {
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ObVo++Pyu+65PjfEGUh0ImAcNQJa1UH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\nEGgsgf8Dvl3W+InI86gAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rfc.roc <- roc(tab$V16, rfc$votes[,2])\n",
    "plot(rfc.roc)\n",
    "rfc.auc_score <- auc(rfc.roc)\n",
    "out <- sprintf(\"AUC Score: %1.4f\", rfc.auc_score)\n",
    "print(out )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Support Vector Classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "set.seed(1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normalize the data with 0 mean and unit variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "tab_norm <- tab\n",
    "tab_norm[colnames(tab_norm) != \"V16\"] <- scale(tab_norm[colnames(tab_norm) != \"V16\"], center = TRUE, scale = FALSE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Split the data set into *train* and *test* sections to determine AUC Score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "n <- nrow(tab_norm)\n",
    "shuffled_tab <- tab_norm[sample(n), ]\n",
    "train_indices <- 1:round(0.75 * n)\n",
    "train_norm <- shuffled_tab[train_indices, ]\n",
    "test_indices <- (round(0.75 * n) + 1):n\n",
    "test_norm <- shuffled_tab[test_indices, ]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create functions for measuring accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "F1_Score <- function (classifier, data, labels){\n",
    "    pred <- predict(classifier,data)\n",
    "    recall <- table(pred, labels)[4]/(table(pred, labels)[3]+table(pred, labels)[4])\n",
    "    precision <- table(pred, labels)[4]/(table(pred, labels)[4]+table(pred, labels)[2])\n",
    "    f1_score <- 2*precision*recall/(precision + recall)\n",
    "    f1_score\n",
    "    }\n",
    "\n",
    "AUC_Score <- function(classifier, data,labels){\n",
    "    pred <- predict(classifier,data, probability = TRUE)\n",
    "    pred.prob <- attr(pred, \"prob\")[,1]\n",
    "    svc.roc <- roc(labels, pred.prob)\n",
    "    auc(svc.roc)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Grid Search through SVM parameter values to determine ones with best AUC Score\n",
    "`C = [0.001, 0.002154435, 0.004641589, 0.01, 0.021544,0.03125,  0.06250,  0.12500,  0.25000,  0.50000,  1.00000,  2.00000,  4.00000,8.00000, 16.00000, 32.00000]` - Cost of misclassification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "bestSvc = c(0)\n",
    "auc_best_svc = 0.0\n",
    "for(C in c(0.001, 0.002154435, 0.004641589, 0.01, 0.021544,0.03125,  0.06250,  0.12500,  0.25000,  0.50000,  1.00000,  2.00000,  4.00000,\n",
    "8.00000, 16.00000, 32.00000)) {\n",
    "    \n",
    "    svc <- svm(V16~.,data=train_norm,kernel='linear',cost=C, probability = TRUE)  \n",
    "    auc_score <- AUC_Score(svc, test_norm, test_norm$V16)\n",
    "    if (auc_score > auc_best_svc){\n",
    "        auc_best_svc = auc_score\n",
    "        bestSvc = c(C)\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best F1_Score settings:\n",
      " \n",
      "C: 0.0022 \n",
      "AUCScore: 0.9077"
     ]
    }
   ],
   "source": [
    "out <- sprintf(\"Best F1_Score settings:\\n \\nC: %2.4f \\nAUCScore: %1.4f\", bestSvc[1], auc_best_svc)\n",
    "cat(out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train the classifier with best parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "svc <- svm(V16~.,data=train_norm,kernel='linear',cost=bestSvc[1], probability = TRUE)\n",
    "write.svm(svc, svm.file = \"models/credit-approval-classifier.svm\", scale.file = \"models/credit-approval.scale\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "pred <- predict(svc,test_norm, probability = TRUE)\n",
    "pred.prob <- attr(pred, \"prob\")[,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AUC Score: 0.9077"
     ]
    },
    {
     "data": {
      "image/png": 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Ax1SwFpGFFHIUCAAAECBAgQINCxgHDU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\nFFBAAQUUUGBiCfwfRpWzqGZFZcwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "svc.roc <- roc(test_norm$V16, pred.prob)\n",
    "plot(svc.roc)\n",
    "svc.auc_score <- auc(svc.roc)\n",
    "out <- sprintf(\"AUC Score: %1.4f\", svc.auc_score)\n",
    "cat(out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Feature Ranking"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Random Forest: MDA+ and MDA- "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"RandomForest variable importances using importance from randomForest package (MDA-) and (MDA+) ordered by MDA+\"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>MeanDecreaseAccuracy</th><th scope=col>MeanDecreaseAccuracy</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>V9</th><td>74.7896373</td><td>74.7896373</td></tr>\n",
       "\t<tr><th scope=row>V15</th><td>25.7537367</td><td>25.7537367</td></tr>\n",
       "\t<tr><th scope=row>V11</th><td>23.8147335</td><td>23.8147335</td></tr>\n",
       "\t<tr><th scope=row>V8</th><td>22.9665564</td><td>22.9665564</td></tr>\n",
       "\t<tr><th scope=row>V10</th><td>20.9649075</td><td>20.9649075</td></tr>\n",
       "\t<tr><th scope=row>V6.x</th><td>14.4307814</td><td>14.4307814</td></tr>\n",
       "\t<tr><th scope=row>V6.ff</th><td>13.3070139</td><td>13.3070139</td></tr>\n",
       "\t<tr><th scope=row>V14</th><td>12.9455060</td><td>12.9455060</td></tr>\n",
       "\t<tr><th scope=row>V7.ff</th><td>12.1124608</td><td>12.1124608</td></tr>\n",
       "\t<tr><th scope=row>V4.y</th><td>10.4355668</td><td>10.4355668</td></tr>\n",
       "\t<tr><th scope=row>V5.g</th><td> 9.6822282</td><td> 9.6822282</td></tr>\n",
       "\t<tr><th scope=row>V4.u</th><td> 9.4810079</td><td> 9.4810079</td></tr>\n",
       "\t<tr><th scope=row>V5.p</th><td> 8.8790133</td><td> 8.8790133</td></tr>\n",
       "\t<tr><th scope=row>V13.s</th><td> 7.8932240</td><td> 7.8932240</td></tr>\n",
       "\t<tr><th scope=row>V13.g</th><td> 7.8500678</td><td> 7.8500678</td></tr>\n",
       "\t<tr><th scope=row>V3</th><td> 7.5231231</td><td> 7.5231231</td></tr>\n",
       "\t<tr><th scope=row>V6.cc</th><td> 6.6370923</td><td> 6.6370923</td></tr>\n",
       "\t<tr><th scope=row>V2</th><td> 5.9090224</td><td> 5.9090224</td></tr>\n",
       "\t<tr><th scope=row>V7.h</th><td> 5.6806499</td><td> 5.6806499</td></tr>\n",
       "\t<tr><th scope=row>V7.v</th><td> 5.4905964</td><td> 5.4905964</td></tr>\n",
       "\t<tr><th scope=row>V6.i</th><td> 5.2565699</td><td> 5.2565699</td></tr>\n",
       "\t<tr><th scope=row>V4.l</th><td> 5.1407228</td><td> 5.1407228</td></tr>\n",
       "\t<tr><th scope=row>V5.gg</th><td> 5.0375920</td><td> 5.0375920</td></tr>\n",
       "\t<tr><th scope=row>V6.aa</th><td> 4.1471362</td><td> 4.1471362</td></tr>\n",
       "\t<tr><th scope=row>V6.k</th><td> 3.5216436</td><td> 3.5216436</td></tr>\n",
       "\t<tr><th scope=row>V7.bb</th><td> 3.3189761</td><td> 3.3189761</td></tr>\n",
       "\t<tr><th scope=row>V6.m</th><td> 2.9360105</td><td> 2.9360105</td></tr>\n",
       "\t<tr><th scope=row>V6.q</th><td> 1.5342379</td><td> 1.5342379</td></tr>\n",
       "\t<tr><th scope=row>V13.p</th><td> 1.4888272</td><td> 1.4888272</td></tr>\n",
       "\t<tr><th scope=row>V12</th><td> 0.6489586</td><td> 0.6489586</td></tr>\n",
       "\t<tr><th scope=row>V1.a</th><td> 0.5926005</td><td> 0.5926005</td></tr>\n",
       "\t<tr><th scope=row>V6.d</th><td> 0.3390915</td><td> 0.3390915</td></tr>\n",
       "\t<tr><th scope=row>V1.b</th><td> 0.1515495</td><td> 0.1515495</td></tr>\n",
       "\t<tr><th scope=row>V7.z</th><td>-0.6642407</td><td>-0.6642407</td></tr>\n",
       "\t<tr><th scope=row>V6.w</th><td>-0.8868158</td><td>-0.8868158</td></tr>\n",
       "\t<tr><th scope=row>V6.e</th><td>-0.9324777</td><td>-0.9324777</td></tr>\n",
       "\t<tr><th scope=row>V6.r</th><td>-1.7337591</td><td>-1.7337591</td></tr>\n",
       "\t<tr><th scope=row>V6.j</th><td>-2.1451144</td><td>-2.1451144</td></tr>\n",
       "\t<tr><th scope=row>V7.j</th><td>-2.3422372</td><td>-2.3422372</td></tr>\n",
       "\t<tr><th scope=row>V7.dd</th><td>-2.5499893</td><td>-2.5499893</td></tr>\n",
       "\t<tr><th scope=row>V7.o</th><td>-2.6545669</td><td>-2.6545669</td></tr>\n",
       "\t<tr><th scope=row>V7.n</th><td>-3.0069344</td><td>-3.0069344</td></tr>\n",
       "\t<tr><th scope=row>V6.c</th><td>-4.7327943</td><td>-4.7327943</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & MeanDecreaseAccuracy & MeanDecreaseAccuracy\\\\\n",
       "\\hline\n",
       "\tV9 & 74.7896373 & 74.7896373\\\\\n",
       "\tV15 & 25.7537367 & 25.7537367\\\\\n",
       "\tV11 & 23.8147335 & 23.8147335\\\\\n",
       "\tV8 & 22.9665564 & 22.9665564\\\\\n",
       "\tV10 & 20.9649075 & 20.9649075\\\\\n",
       "\tV6.x & 14.4307814 & 14.4307814\\\\\n",
       "\tV6.ff & 13.3070139 & 13.3070139\\\\\n",
       "\tV14 & 12.9455060 & 12.9455060\\\\\n",
       "\tV7.ff & 12.1124608 & 12.1124608\\\\\n",
       "\tV4.y & 10.4355668 & 10.4355668\\\\\n",
       "\tV5.g &  9.6822282 &  9.6822282\\\\\n",
       "\tV4.u &  9.4810079 &  9.4810079\\\\\n",
       "\tV5.p &  8.8790133 &  8.8790133\\\\\n",
       "\tV13.s &  7.8932240 &  7.8932240\\\\\n",
       "\tV13.g &  7.8500678 &  7.8500678\\\\\n",
       "\tV3 &  7.5231231 &  7.5231231\\\\\n",
       "\tV6.cc &  6.6370923 &  6.6370923\\\\\n",
       "\tV2 &  5.9090224 &  5.9090224\\\\\n",
       "\tV7.h &  5.6806499 &  5.6806499\\\\\n",
       "\tV7.v &  5.4905964 &  5.4905964\\\\\n",
       "\tV6.i &  5.2565699 &  5.2565699\\\\\n",
       "\tV4.l &  5.1407228 &  5.1407228\\\\\n",
       "\tV5.gg &  5.0375920 &  5.0375920\\\\\n",
       "\tV6.aa &  4.1471362 &  4.1471362\\\\\n",
       "\tV6.k &  3.5216436 &  3.5216436\\\\\n",
       "\tV7.bb &  3.3189761 &  3.3189761\\\\\n",
       "\tV6.m &  2.9360105 &  2.9360105\\\\\n",
       "\tV6.q &  1.5342379 &  1.5342379\\\\\n",
       "\tV13.p &  1.4888272 &  1.4888272\\\\\n",
       "\tV12 &  0.6489586 &  0.6489586\\\\\n",
       "\tV1.a &  0.5926005 &  0.5926005\\\\\n",
       "\tV6.d &  0.3390915 &  0.3390915\\\\\n",
       "\tV1.b &  0.1515495 &  0.1515495\\\\\n",
       "\tV7.z & -0.6642407 & -0.6642407\\\\\n",
       "\tV6.w & -0.8868158 & -0.8868158\\\\\n",
       "\tV6.e & -0.9324777 & -0.9324777\\\\\n",
       "\tV6.r & -1.7337591 & -1.7337591\\\\\n",
       "\tV6.j & -2.1451144 & -2.1451144\\\\\n",
       "\tV7.j & -2.3422372 & -2.3422372\\\\\n",
       "\tV7.dd & -2.5499893 & -2.5499893\\\\\n",
       "\tV7.o & -2.6545669 & -2.6545669\\\\\n",
       "\tV7.n & -3.0069344 & -3.0069344\\\\\n",
       "\tV6.c & -4.7327943 & -4.7327943\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | MeanDecreaseAccuracy | MeanDecreaseAccuracy | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| V9 | 74.7896373 | 74.7896373 | \n",
       "| V15 | 25.7537367 | 25.7537367 | \n",
       "| V11 | 23.8147335 | 23.8147335 | \n",
       "| V8 | 22.9665564 | 22.9665564 | \n",
       "| V10 | 20.9649075 | 20.9649075 | \n",
       "| V6.x | 14.4307814 | 14.4307814 | \n",
       "| V6.ff | 13.3070139 | 13.3070139 | \n",
       "| V14 | 12.9455060 | 12.9455060 | \n",
       "| V7.ff | 12.1124608 | 12.1124608 | \n",
       "| V4.y | 10.4355668 | 10.4355668 | \n",
       "| V5.g |  9.6822282 |  9.6822282 | \n",
       "| V4.u |  9.4810079 |  9.4810079 | \n",
       "| V5.p |  8.8790133 |  8.8790133 | \n",
       "| V13.s |  7.8932240 |  7.8932240 | \n",
       "| V13.g |  7.8500678 |  7.8500678 | \n",
       "| V3 |  7.5231231 |  7.5231231 | \n",
       "| V6.cc |  6.6370923 |  6.6370923 | \n",
       "| V2 |  5.9090224 |  5.9090224 | \n",
       "| V7.h |  5.6806499 |  5.6806499 | \n",
       "| V7.v |  5.4905964 |  5.4905964 | \n",
       "| V6.i |  5.2565699 |  5.2565699 | \n",
       "| V4.l |  5.1407228 |  5.1407228 | \n",
       "| V5.gg |  5.0375920 |  5.0375920 | \n",
       "| V6.aa |  4.1471362 |  4.1471362 | \n",
       "| V6.k |  3.5216436 |  3.5216436 | \n",
       "| V7.bb |  3.3189761 |  3.3189761 | \n",
       "| V6.m |  2.9360105 |  2.9360105 | \n",
       "| V6.q |  1.5342379 |  1.5342379 | \n",
       "| V13.p |  1.4888272 |  1.4888272 | \n",
       "| V12 |  0.6489586 |  0.6489586 | \n",
       "| V1.a |  0.5926005 |  0.5926005 | \n",
       "| V6.d |  0.3390915 |  0.3390915 | \n",
       "| V1.b |  0.1515495 |  0.1515495 | \n",
       "| V7.z | -0.6642407 | -0.6642407 | \n",
       "| V6.w | -0.8868158 | -0.8868158 | \n",
       "| V6.e | -0.9324777 | -0.9324777 | \n",
       "| V6.r | -1.7337591 | -1.7337591 | \n",
       "| V6.j | -2.1451144 | -2.1451144 | \n",
       "| V7.j | -2.3422372 | -2.3422372 | \n",
       "| V7.dd | -2.5499893 | -2.5499893 | \n",
       "| V7.o | -2.6545669 | -2.6545669 | \n",
       "| V7.n | -3.0069344 | -3.0069344 | \n",
       "| V6.c | -4.7327943 | -4.7327943 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "      MeanDecreaseAccuracy MeanDecreaseAccuracy\n",
       "V9    74.7896373           74.7896373          \n",
       "V15   25.7537367           25.7537367          \n",
       "V11   23.8147335           23.8147335          \n",
       "V8    22.9665564           22.9665564          \n",
       "V10   20.9649075           20.9649075          \n",
       "V6.x  14.4307814           14.4307814          \n",
       "V6.ff 13.3070139           13.3070139          \n",
       "V14   12.9455060           12.9455060          \n",
       "V7.ff 12.1124608           12.1124608          \n",
       "V4.y  10.4355668           10.4355668          \n",
       "V5.g   9.6822282            9.6822282          \n",
       "V4.u   9.4810079            9.4810079          \n",
       "V5.p   8.8790133            8.8790133          \n",
       "V13.s  7.8932240            7.8932240          \n",
       "V13.g  7.8500678            7.8500678          \n",
       "V3     7.5231231            7.5231231          \n",
       "V6.cc  6.6370923            6.6370923          \n",
       "V2     5.9090224            5.9090224          \n",
       "V7.h   5.6806499            5.6806499          \n",
       "V7.v   5.4905964            5.4905964          \n",
       "V6.i   5.2565699            5.2565699          \n",
       "V4.l   5.1407228            5.1407228          \n",
       "V5.gg  5.0375920            5.0375920          \n",
       "V6.aa  4.1471362            4.1471362          \n",
       "V6.k   3.5216436            3.5216436          \n",
       "V7.bb  3.3189761            3.3189761          \n",
       "V6.m   2.9360105            2.9360105          \n",
       "V6.q   1.5342379            1.5342379          \n",
       "V13.p  1.4888272            1.4888272          \n",
       "V12    0.6489586            0.6489586          \n",
       "V1.a   0.5926005            0.5926005          \n",
       "V6.d   0.3390915            0.3390915          \n",
       "V1.b   0.1515495            0.1515495          \n",
       "V7.z  -0.6642407           -0.6642407          \n",
       "V6.w  -0.8868158           -0.8868158          \n",
       "V6.e  -0.9324777           -0.9324777          \n",
       "V6.r  -1.7337591           -1.7337591          \n",
       "V6.j  -2.1451144           -2.1451144          \n",
       "V7.j  -2.3422372           -2.3422372          \n",
       "V7.dd -2.5499893           -2.5499893          \n",
       "V7.o  -2.6545669           -2.6545669          \n",
       "V7.n  -3.0069344           -3.0069344          \n",
       "V6.c  -4.7327943           -4.7327943          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var.importance <- importance(rfc, type = 1)\n",
    "var.importance <- cbind(var.importance, importance(rfc, type = 1))\n",
    "print(\"RandomForest variable importances using importance from randomForest package (MDA-) and (MDA+) ordered by MDA+\")\n",
    "var.importance[order(var.importance[,1], decreasing=TRUE), , drop=FALSE]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Support Vector Machine: |Wj|"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"SVM feature importances using absoluto values of respective weights\"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>V9</th><td>4.911014e-01</td></tr>\n",
       "\t<tr><th scope=row>V10</th><td>1.898003e-01</td></tr>\n",
       "\t<tr><th scope=row>V11</th><td>1.474649e-01</td></tr>\n",
       "\t<tr><th scope=row>V8</th><td>1.002963e-01</td></tr>\n",
       "\t<tr><th scope=row>V6.x</th><td>9.423493e-02</td></tr>\n",
       "\t<tr><th scope=row>V15</th><td>7.868133e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.ff</th><td>6.838287e-02</td></tr>\n",
       "\t<tr><th scope=row>V2</th><td>6.334134e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.q</th><td>5.530641e-02</td></tr>\n",
       "\t<tr><th scope=row>V7.ff</th><td>5.481606e-02</td></tr>\n",
       "\t<tr><th scope=row>V14</th><td>5.382585e-02</td></tr>\n",
       "\t<tr><th scope=row>V3</th><td>4.613682e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.i</th><td>4.462505e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.cc</th><td>4.345617e-02</td></tr>\n",
       "\t<tr><th scope=row>V7.h</th><td>3.881170e-02</td></tr>\n",
       "\t<tr><th scope=row>V4.l</th><td>3.470593e-02</td></tr>\n",
       "\t<tr><th scope=row>V5.gg</th><td>3.470593e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.d</th><td>3.101650e-02</td></tr>\n",
       "\t<tr><th scope=row>V4.y</th><td>2.885617e-02</td></tr>\n",
       "\t<tr><th scope=row>V5.p</th><td>2.885617e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.c</th><td>2.542216e-02</td></tr>\n",
       "\t<tr><th scope=row>V13.s</th><td>2.384664e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.k</th><td>2.305240e-02</td></tr>\n",
       "\t<tr><th scope=row>V7.bb</th><td>1.960017e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.r</th><td>1.761248e-02</td></tr>\n",
       "\t<tr><th scope=row>V13.p</th><td>1.745474e-02</td></tr>\n",
       "\t<tr><th scope=row>V7.j</th><td>1.493729e-02</td></tr>\n",
       "\t<tr><th scope=row>V13.g</th><td>1.475336e-02</td></tr>\n",
       "\t<tr><th scope=row>V7.dd</th><td>1.390189e-02</td></tr>\n",
       "\t<tr><th scope=row>V4.u</th><td>1.339367e-02</td></tr>\n",
       "\t<tr><th scope=row>V5.g</th><td>1.339367e-02</td></tr>\n",
       "\t<tr><th scope=row>V12</th><td>1.259572e-02</td></tr>\n",
       "\t<tr><th scope=row>V7.z</th><td>1.173209e-02</td></tr>\n",
       "\t<tr><th scope=row>V6.aa</th><td>8.255267e-03</td></tr>\n",
       "\t<tr><th scope=row>V7.n</th><td>7.151640e-03</td></tr>\n",
       "\t<tr><th scope=row>V1.b</th><td>6.943918e-03</td></tr>\n",
       "\t<tr><th scope=row>V1.a</th><td>5.957987e-03</td></tr>\n",
       "\t<tr><th scope=row>V6.j</th><td>3.498786e-03</td></tr>\n",
       "\t<tr><th scope=row>V7.o</th><td>3.037295e-03</td></tr>\n",
       "\t<tr><th scope=row>V6.w</th><td>2.476619e-03</td></tr>\n",
       "\t<tr><th scope=row>V6.e</th><td>2.016940e-03</td></tr>\n",
       "\t<tr><th scope=row>V7.v</th><td>3.269380e-04</td></tr>\n",
       "\t<tr><th scope=row>V6.m</th><td>1.452831e-17</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|l}\n",
       "\tV9 & 4.911014e-01\\\\\n",
       "\tV10 & 1.898003e-01\\\\\n",
       "\tV11 & 1.474649e-01\\\\\n",
       "\tV8 & 1.002963e-01\\\\\n",
       "\tV6.x & 9.423493e-02\\\\\n",
       "\tV15 & 7.868133e-02\\\\\n",
       "\tV6.ff & 6.838287e-02\\\\\n",
       "\tV2 & 6.334134e-02\\\\\n",
       "\tV6.q & 5.530641e-02\\\\\n",
       "\tV7.ff & 5.481606e-02\\\\\n",
       "\tV14 & 5.382585e-02\\\\\n",
       "\tV3 & 4.613682e-02\\\\\n",
       "\tV6.i & 4.462505e-02\\\\\n",
       "\tV6.cc & 4.345617e-02\\\\\n",
       "\tV7.h & 3.881170e-02\\\\\n",
       "\tV4.l & 3.470593e-02\\\\\n",
       "\tV5.gg & 3.470593e-02\\\\\n",
       "\tV6.d & 3.101650e-02\\\\\n",
       "\tV4.y & 2.885617e-02\\\\\n",
       "\tV5.p & 2.885617e-02\\\\\n",
       "\tV6.c & 2.542216e-02\\\\\n",
       "\tV13.s & 2.384664e-02\\\\\n",
       "\tV6.k & 2.305240e-02\\\\\n",
       "\tV7.bb & 1.960017e-02\\\\\n",
       "\tV6.r & 1.761248e-02\\\\\n",
       "\tV13.p & 1.745474e-02\\\\\n",
       "\tV7.j & 1.493729e-02\\\\\n",
       "\tV13.g & 1.475336e-02\\\\\n",
       "\tV7.dd & 1.390189e-02\\\\\n",
       "\tV4.u & 1.339367e-02\\\\\n",
       "\tV5.g & 1.339367e-02\\\\\n",
       "\tV12 & 1.259572e-02\\\\\n",
       "\tV7.z & 1.173209e-02\\\\\n",
       "\tV6.aa & 8.255267e-03\\\\\n",
       "\tV7.n & 7.151640e-03\\\\\n",
       "\tV1.b & 6.943918e-03\\\\\n",
       "\tV1.a & 5.957987e-03\\\\\n",
       "\tV6.j & 3.498786e-03\\\\\n",
       "\tV7.o & 3.037295e-03\\\\\n",
       "\tV6.w & 2.476619e-03\\\\\n",
       "\tV6.e & 2.016940e-03\\\\\n",
       "\tV7.v & 3.269380e-04\\\\\n",
       "\tV6.m & 1.452831e-17\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| V9 | 4.911014e-01 | \n",
       "| V10 | 1.898003e-01 | \n",
       "| V11 | 1.474649e-01 | \n",
       "| V8 | 1.002963e-01 | \n",
       "| V6.x | 9.423493e-02 | \n",
       "| V15 | 7.868133e-02 | \n",
       "| V6.ff | 6.838287e-02 | \n",
       "| V2 | 6.334134e-02 | \n",
       "| V6.q | 5.530641e-02 | \n",
       "| V7.ff | 5.481606e-02 | \n",
       "| V14 | 5.382585e-02 | \n",
       "| V3 | 4.613682e-02 | \n",
       "| V6.i | 4.462505e-02 | \n",
       "| V6.cc | 4.345617e-02 | \n",
       "| V7.h | 3.881170e-02 | \n",
       "| V4.l | 3.470593e-02 | \n",
       "| V5.gg | 3.470593e-02 | \n",
       "| V6.d | 3.101650e-02 | \n",
       "| V4.y | 2.885617e-02 | \n",
       "| V5.p | 2.885617e-02 | \n",
       "| V6.c | 2.542216e-02 | \n",
       "| V13.s | 2.384664e-02 | \n",
       "| V6.k | 2.305240e-02 | \n",
       "| V7.bb | 1.960017e-02 | \n",
       "| V6.r | 1.761248e-02 | \n",
       "| V13.p | 1.745474e-02 | \n",
       "| V7.j | 1.493729e-02 | \n",
       "| V13.g | 1.475336e-02 | \n",
       "| V7.dd | 1.390189e-02 | \n",
       "| V4.u | 1.339367e-02 | \n",
       "| V5.g | 1.339367e-02 | \n",
       "| V12 | 1.259572e-02 | \n",
       "| V7.z | 1.173209e-02 | \n",
       "| V6.aa | 8.255267e-03 | \n",
       "| V7.n | 7.151640e-03 | \n",
       "| V1.b | 6.943918e-03 | \n",
       "| V1.a | 5.957987e-03 | \n",
       "| V6.j | 3.498786e-03 | \n",
       "| V7.o | 3.037295e-03 | \n",
       "| V6.w | 2.476619e-03 | \n",
       "| V6.e | 2.016940e-03 | \n",
       "| V7.v | 3.269380e-04 | \n",
       "| V6.m | 1.452831e-17 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "      [,1]        \n",
       "V9    4.911014e-01\n",
       "V10   1.898003e-01\n",
       "V11   1.474649e-01\n",
       "V8    1.002963e-01\n",
       "V6.x  9.423493e-02\n",
       "V15   7.868133e-02\n",
       "V6.ff 6.838287e-02\n",
       "V2    6.334134e-02\n",
       "V6.q  5.530641e-02\n",
       "V7.ff 5.481606e-02\n",
       "V14   5.382585e-02\n",
       "V3    4.613682e-02\n",
       "V6.i  4.462505e-02\n",
       "V6.cc 4.345617e-02\n",
       "V7.h  3.881170e-02\n",
       "V4.l  3.470593e-02\n",
       "V5.gg 3.470593e-02\n",
       "V6.d  3.101650e-02\n",
       "V4.y  2.885617e-02\n",
       "V5.p  2.885617e-02\n",
       "V6.c  2.542216e-02\n",
       "V13.s 2.384664e-02\n",
       "V6.k  2.305240e-02\n",
       "V7.bb 1.960017e-02\n",
       "V6.r  1.761248e-02\n",
       "V13.p 1.745474e-02\n",
       "V7.j  1.493729e-02\n",
       "V13.g 1.475336e-02\n",
       "V7.dd 1.390189e-02\n",
       "V4.u  1.339367e-02\n",
       "V5.g  1.339367e-02\n",
       "V12   1.259572e-02\n",
       "V7.z  1.173209e-02\n",
       "V6.aa 8.255267e-03\n",
       "V7.n  7.151640e-03\n",
       "V1.b  6.943918e-03\n",
       "V1.a  5.957987e-03\n",
       "V6.j  3.498786e-03\n",
       "V7.o  3.037295e-03\n",
       "V6.w  2.476619e-03\n",
       "V6.e  2.016940e-03\n",
       "V7.v  3.269380e-04\n",
       "V6.m  1.452831e-17"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w <- t(svc$coefs) %*% svc$SV\n",
    "w <- abs(w)\n",
    "w <- t(w)\n",
    "w <- w[order(w, decreasing=TRUE), , drop=FALSE]\n",
    "print(\"SVM feature importances using absoluto values of respective weights\")\n",
    "w"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train new models with 1/2 of most important features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_rfc <- randomForest(V16~., data=tab[c(rownames(head(var.importance, as.integer(n_feat/2))), \"V16\")], cutoff = c(best[3], 1-best[3]), ntree=best[1], mtry=best[2])\n",
    "save(new_rfc, file = \"models/credit-approval-classifier-0.5set.RData\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_svc <- svm(V16~.,data=train_norm[c(rownames(head(w, as.integer(n_feat/2))), \"V16\")],kernel='linear',cost=bestSvc[1], probability = TRUE)\n",
    "write.svm(new_svc, svm.file = \"models/credit-approval-classifier-0.5set.svm\", scale.file = \"models/credit-approval-0.5set.scale\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test new models' accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New RF Classifier AUC Score: 0.9300 \n",
      "New SV Classifier AUC Score: 0.9049"
     ]
    }
   ],
   "source": [
    "new_svc.auc_score <- AUC_Score(new_svc, test_norm[rownames(head(w, as.integer(n_feat/2)))], test_norm$V16)\n",
    "new_rfc.roc <- roc(tab$V16, new_rfc$votes[,2])\n",
    "new_rfc.auc_score <- auc(new_rfc.roc)\n",
    "out <- sprintf(\"New RF Classifier AUC Score: %1.4f \\nNew SV Classifier AUC Score: %1.4f\", new_rfc.auc_score, new_svc.auc_score)\n",
    "cat(out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting of data with respect to some of the top important features\n",
    "* Small green - False Positive\n",
    "* Large green - True Positive\n",
    "* Small red - True Negative\n",
    "* Large red - False Negative\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RFC results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Using size for a discrete variable is not advised.”"
     ]
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AAVKYUOyGAAIIIIAAAggg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\ndUKiBSIgAiIgAiIgAiIgAiIgAr2VwP8HQKx5mIupPa0AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred <- predict(svc, tab_norm)\n",
    "ggplot(data=tab_norm[150:300,]) + \n",
    "  geom_point(mapping = aes(x = V2, y = V8, color = pred[150:300], size = V16))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SVC results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Using size for a discrete variable is not advised.”"
     ]
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AACCCCAAAIIIOBHgADJDwqLEEAAAQQQQAABBBBAwJsCBEjerHdKjQACCCCAAAII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\nygAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred <- predict(svc,tab, probability = TRUE)\n",
    "ggplot(data=tab[150:300,]) + \n",
    "  geom_point(mapping = aes(x = V2, y = V8, color = pred[150:300], size = V16))"
   ]
  },
  {
   "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",
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