dvdblk/RNN.ipynb

## RNN.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [],
   "source": [
    "library(keras) \n",
    "library(dplyr)\n",
    "library(plyr) # rename\n",
    "library(caret)\n",
    "library(data.table) # shift\n",
    "\n",
    "# load the data from csv \n",
    "# https://archive.ics.uci.edu/ml/datasets/Beijing+PM2.5+Data\n",
    "air_quality_raw_data <- read.csv(\"air_pollution_beijing.csv\")\n",
    "\n",
    "# get rid of NA values\n",
    "# TODO: avg or smth\n",
    "air_quality <- na.omit(air_quality_raw_data)\n",
    "\n",
    "# add date instead of yr/mo/day/hr\n",
    "air_quality$date <- ISOdate(\n",
    "  air_quality$year, \n",
    "  air_quality$month, \n",
    "  air_quality$day, \n",
    "  hour = air_quality$hour\n",
    ")\n",
    "\n",
    "# remove yr/mo/day/hr and No columns\n",
    "air_quality <- air_quality[,-which(\n",
    "  colnames(air_quality) %in% c(\"No\", \"year\", \"month\", \"day\", \"hour\")\n",
    "  )]\n",
    "\n",
    "# rename columns\n",
    "air_quality <- plyr::rename(air_quality, c(\n",
    "  \"pm2.5\"=\"pollution\", \n",
    "  \"DEWP\"=\"dew_point\", \n",
    "  \"TEMP\"=\"temperature\", \n",
    "  \"PRES\"=\"pressure\", \n",
    "  \"cbwd\"=\"wind_direction\",  \n",
    "  \"Iws\"=\"wind_speed\",\n",
    "  \"Is\"=\"snow_hours\",\n",
    "  \"Ir\"=\"rain_hours\"\n",
    "  ))\n",
    "\n",
    "# integer encode enumerable values of wind direction \n",
    "# ('CV' corresponds to very low wind speed)\n",
    "air_quality$wind_direction <- as.numeric(as.factor(air_quality$wind_direction))\n",
    "\n",
    "except_columns <- function(df, cols) {\n",
    "  df[,-which(colnames(df) == cols)]\n",
    "}\n",
    "\n",
    "# normalize all features except date\n",
    "min_max_normalizer <- function(x) {\n",
    "  (x - min(x)) / (max(x) - min(x))\n",
    "}\n",
    "\n",
    "air_quality_values <- air_quality %>% except_columns(c(\"date\"))\n",
    "air_quality_values <- min_max_normalizer(air_quality_values)\n",
    "\n",
    "# add a column that represents the desired outcome for each instance\n",
    "air_quality_values_supervised <- air_quality_values\n",
    "air_pollution_column_vector <- as.vector(\n",
    "  air_quality_values_supervised[, \"pollution\"]\n",
    "  )\n",
    "\n",
    "# shift the pollution vector by 1, used as a target value (desired output)\n",
    "shifted_air_pollution_column_vector <- as.vector(\n",
    "  shift(air_pollution_column_vector, type = \"lead\")\n",
    "  )\n",
    "# add the vector as a new column\n",
    "air_quality_values_supervised <- cbind.data.frame(\n",
    "  air_quality_values_supervised, \n",
    "  forecasted_pollution = shifted_air_pollution_column_vector\n",
    "  )\n",
    "# remove rows containing NA after shifting\n",
    "air_quality_values_supervised <- na.omit(air_quality_values_supervised)\n",
    "\n",
    "# split into test and train set\n",
    "number_of_training_instances <- 365 * 24 * 3       # 3 years\n",
    "train_data <- air_quality_values_supervised[1:number_of_training_instances,]\n",
    "test_data <- air_quality_values_supervised[-(1:number_of_training_instances),]\n",
    "\n",
    "train_input <- train_data %>% except_columns(c(\"forecasted_pollution\"))\n",
    "train_target <- train_data$forecasted_pollution\n",
    "test_input <- test_data %>% except_columns(c(\"forecasted_pollution\"))\n",
    "test_target <- test_data$forecasted_pollution\n",
    "\n",
    "# reshape the input so we can feed it into our neural net\n",
    "train_input_reshaped <- array_reshape(as.matrix(train_input), c(nrow(train_input), 1, ncol(train_input)))\n",
    "test_input_reshaped <- array_reshape(as.matrix(test_input), c(nrow(test_input), 1, ncol(test_input))) \n",
    "\n",
    "\n",
    "\n",
    "# models\n",
    "compile_and_fit <- function(model, train_X, train_y, validation_data) {\n",
    "  model %>% compile(\n",
    "    optimizer = optimizer_rmsprop(),\n",
    "    loss = \"mae\"\n",
    "  )\n",
    "  \n",
    "  history <- model %>% fit(\n",
    "    train_X, train_y,\n",
    "    batch_size = 72,\n",
    "    epochs = 50,\n",
    "    validation_split = 0.9\n",
    "  )\n",
    "}\n",
    "\n",
    "number_of_features <- ncol(train_input)\n",
    "\n",
    "# defining the baseline non recurrent model\n",
    "baseline_model <- keras_model_sequential()\n",
    "baseline_model %>%\n",
    "  layer_dense(units = 32, activation = \"relu\", input_shape = c(number_of_features)) %>%\n",
    "  layer_dense(units = 1)\n",
    "\n",
    "baseline_model_history <- baseline_model %>% compile_and_fit(\n",
    "  as.matrix(train_input), train_target\n",
    ")\n",
    "\n",
    "\n",
    "# RNN model\n",
    "rnn_model <- keras_model_sequential()\n",
    "rnn_model %>%\n",
    "  layer_simple_rnn(units = 50, input_shape = c(1, number_of_features)) %>%\n",
    "  layer_dense(units = 1)\n",
    "\n",
    "rnn_model_history <- rnn_model %>% compile_and_fit(\n",
    "  train_input_reshaped, train_target\n",
    ")\n",
    "\n",
    "# LSTM model\n",
    "LSTM_model <- keras_model_sequential()\n",
    "LSTM_model %>%\n",
    "  layer_lstm(units = 30, input_shape = c(1, number_of_features), recurrent_dropout = 0.1) %>%\n",
    "  layer_dense(units = 1)\n",
    "\n",
    "LSTM_model_history <- LSTM_model %>% compile_and_fit(\n",
    "  train_input_reshaped, train_target\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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0C2vGOv1HQgABBBBAAAEEEEDATwJ0sfNTbSVRXrWb3R4lrU/UkETZ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WwISCBlA+ZoLJZAypmqBFLOfHz1LeNARo+w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\nwP8Dpwltrc+KjGsAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(baseline_model_history)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ggAACCMSKAAFSrNT0Hso5qFFDSTeBkpteNpM1FJaUuJv8RQABBBBA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1Kgx165s1yyUgANtr1kJ0dLTZdlkRAkJA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\nGC++bokwjcmKdxvUmKxsEFluanULuw7okoamz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VkScxcuhGYIzarGJA1ZRdb5j0sLkvPPMUdIAiRAAiRAAqYhoFalJmJR0uWsWDWWSh2p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\nRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(rnn_model_history)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IIIAAAgi0OwECJMurvLpv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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(LSTM_model_history)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RrOZtavHMz8lx4nYAMBAgQIECBAgAAB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\nBAgQIECAAAECiybwP7Mof75mLNzLAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "baseline_loss <- baseline_model %>% evaluate(as.matrix(test_input), test_target)\n",
    "\n",
    "LSTM_loss <- LSTM_model %>% evaluate(test_input_reshaped, test_target)\n",
    "\n",
    "rnn_loss <- rnn_model %>% evaluate(test_input_reshaped, test_target)\n",
    "\n",
    "barplot(ylab = \"Loss\", hej\n",
    "        c(baseline_loss, rnn_loss, LSTM_loss), \n",
    "        names.arg = c(\"Baseline\", \"RNN\", \"LSTM\"),\n",
    "        col = c(\"gray\", \"green\", \"blue\")\n",
    "       )"
   ]
  },
  {
   "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
}