Data Preprocessing

property = read_csv(file = "properties_2016.csv", header = T, sep = ",")
Error in read_csv(file = "properties_2016.csv", header = T, sep = ",") : 
  unused arguments (header = T, sep = ",")

Change Variable Types

### Some variables are seen as numerical values, but they should be categorical, hence transformation 
change_numerical_to_factor = function(data, variable_names) {
  for (i in 1:length(variable_names)) {
    index = which(names(data) == cate_var[i])
    if (length(index) > 0) {
      data[,index] = as.factor(data[,index])
    }
  }
  return(data)
}
cate_var = c( "buildingqualitytypeid", "fips", "heatingorsystemtypeid", "propertylandusetypeid", 'censustractandblock', 
              'regionidcity', 'regionidcounty', 'regionidcity', "unitcnt")
train = change_numerical_to_factor(train, cate_var)
property = change_numerical_to_factor(property, cate_var)

Feature Engineering

#### month of the year shows predicative power, so, use month column 
#Take in data and create features.  Use this for the train and total properties files
#This is EXCLUDING the month features which need to be added later
make_features = function(data) {
  data %>% 
    mutate(#transactiondate = as.Date(as.character(transactiondate)),
           #month = as.factor(month(transactiondate)),
           N_value_ratio = taxvaluedollarcnt/taxamount,
           N_living_area_prop = calculatedfinishedsquarefeet/lotsizesquarefeet) %>%
    
    group_by(regionidcity) %>%
    
    mutate( N_Avg_structuretaxvalue = mean(structuretaxvaluedollarcnt),
            N_city_count = n()) %>%
    ungroup() %>%
    
    mutate( N_Dev_structuretaxvaluedolarcnt = abs(structuretaxvaluedollarcnt - N_Avg_structuretaxvalue)/N_Avg_structuretaxvalue,
            N_tax_score = taxvaluedollarcnt*taxamount)  %>%
    
    group_by(regionidzip) %>%
    
    mutate(N_zip_count = n()) %>%
    ungroup() %>%
    
    dplyr::select(- rawcensustractandblock,
           - propertyzoningdesc,
           - censustractandblock,
           - assessmentyear) ### Remove transactiondate column 
  
  #data$N_month = as.factor(data$N_month)
}
train = train %>%
  mutate(transactiondate = as.Date(as.character(transactiondate))) %>% 
    mutate(month = as.factor(month(transactiondate)))  %>% 
    select(-one_of("transactiondate"))
Error in mutate_impl(.data, dots) : 
  Evaluation error: object 'transactiondate' not found.

Remove NA values

prop2 = property %>% dplyr::select(-drop.column)   
Error in -drop.column : invalid argument to unary operator

Remove outliers observations

Model

number_trees = 200
gbmModel <- gbm(logerror ~ ., 
                distribution="gaussian", 
                # var.monotone=c(0,0,0,0,0,0),  # -1: monotone decrease,
                # +1: monotone increase,
                #  0: no monotone restrictions
                interaction.depth = 5,          ### 1 means additive model, 2 is two-way interaction 
                # n.minobsinnode = 10,         ### minimum number of observations in the trees terminal nodes.
                n.cores=detectCores()/2,      ### Number of cores for parallasation
                bag.fraction = 0.8,          ### Every time only x% of the sample are selected to make the tree
                n.trees = number_trees,              ### Number of trees 
                shrinkage = 0.033,           ### There is a shrinkage parameter to avoid over-fitting 
                data = train)

Predictions

---
title: "Zillow Gradient Boosted Machine"
output: html_notebook
---

##Data Preprocessing
```{r}

library(readr) # CSV file I/O, e.g. the read_csv function

## Read packages (some of the packages are not required, but did not bother to find out which ones )
packages <- c("gbm", "xgboost", "dplyr", "data.table", "caret", "rattle", "tidyr", "ggplot2", "lubridate", 
              "corrplot", "leaflet", "caretEnsemble", "e1071", "rpart.plot", "VGAM", "Metrics", "Matrix")
purrr::walk(packages, library, character.only = TRUE, warn.conflicts = FALSE)

#Only those which were sold
train_temp = read.csv("train_2016_v2.csv", header = T, sep =  ",")

#All properties listed
property = read.csv(file = "properties_2016.csv", header = T, sep = ",")

#Join Y and X to fit a model
train = merge(train_temp, property, by.x = "parcelid", by.y = "parcelid", all.x = TRUE)

# Remove temporary data set to save space
rm(train_temp)
```
#Change Variable Types

```{r}
### Some variables are seen as numerical values, but they should be categorical, hence transformation 
change_numerical_to_factor = function(data, variable_names) {
  for (i in 1:length(variable_names)) {
    index = which(names(data) == cate_var[i])
    if (length(index) > 0) {
      data[,index] = as.factor(data[,index])
    }
  }
  return(data)
}

cate_var = c( "buildingqualitytypeid", "fips", "heatingorsystemtypeid", "propertylandusetypeid", 'censustractandblock', 
              'regionidcity', 'regionidcounty', 'regionidcity', "unitcnt")

train = change_numerical_to_factor(train, cate_var)
property = change_numerical_to_factor(property, cate_var)
```

#Feature Engineering
```{r}
#### month of the year shows predicative power, so, use month column 
#Take in data and create features.  Use this for the train and total properties files

#This is EXCLUDING the month features which need to be added later
make_features = function(data) {
  data %>% 
    mutate(#transactiondate = as.Date(as.character(transactiondate)),
           #month = as.factor(month(transactiondate)),
           N_value_ratio = taxvaluedollarcnt/taxamount,
           N_living_area_prop = calculatedfinishedsquarefeet/lotsizesquarefeet) %>%
    
    # group_by(regionidcity) %>%
    # 
    # mutate( N_Avg_structuretaxvalue = mean(structuretaxvaluedollarcnt),
    #         N_city_count = n()) %>%
    # ungroup() %>%
    
    mutate( N_Dev_structuretaxvaluedolarcnt = abs(structuretaxvaluedollarcnt - N_Avg_structuretaxvalue)/N_Avg_structuretaxvalue,
            N_tax_score = taxvaluedollarcnt*taxamount)  %>%
    
    group_by(regionidzip) %>%
    
    mutate(N_zip_count = n()) %>%
    ungroup() %>%
    
    dplyr::select(- rawcensustractandblock,
           - propertyzoningdesc,
           - censustractandblock,
           - assessmentyear) ### Remove transactiondate column 
  
  #data$N_month = as.factor(data$N_month)
}

train = train %>%
  mutate(transactiondate = as.Date(as.character(transactiondate))) %>% 
    mutate(month = as.factor(month(transactiondate)))  %>% 
    select(-one_of("transactiondate"))

train2 = make_features(train)
prop = make_features(property)

```

#Remove NA values
```{r}
##### Investigate the columns with many NAs, remove columns with more than 80% NA (this needs more investigations though)
#### Remove columns with NA more than NA_percentage_threshold 
remove_variable_with_NA = function(data, NA_percentage_threshold) {
  vectordrop = data[, lapply(data, function(x) sum(is.na(x)) / length(x) ) >= NA_percentage_threshold ]
  data[, which(names(data) %in% names(vectordrop))] = NULL
  
  result = list(data = data, drop.column = names(vectordrop))
  return(result)
}

NA_percentage_threshold = 0.8

result = remove_variable_with_NA(train, NA_percentage_threshold)
train = result$data
drop.column =  result$drop.column
prop = prop %>% dplyr::select(-one_of(drop.column))   
```


#Remove outliers observations
```{r}
### Remove outliers (this also needs more investigation)
train = train %>% filter(logerror <= 0.4 & logerror >= -0.39)
```

##Model

```{r}

number_trees = 600

gbmModel <- gbm(logerror ~ ., 
                distribution="gaussian", 
                # var.monotone=c(0,0,0,0,0,0),  # -1: monotone decrease,
                # +1: monotone increase,
                #  0: no monotone restrictions
                interaction.depth = 5,          ### 1 means additive model, 2 is two-way interaction 
                # n.minobsinnode = 10,         ### minimum number of observations in the trees terminal nodes.
                n.cores=detectCores()/2,      ### Number of cores for parallasation
                bag.fraction = 0.8,          ### Every time only x% of the sample are selected to make the tree
                n.trees = number_trees,              ### Number of trees 
                shrinkage = 0.0033,           ### There is a shrinkage parameter to avoid over-fitting 
                data = train)


```

#Predictions
```{r}
#Create "month" proxy so that the Xdata in the prediction matches that in the training set
prop$month = factor("10", levels = levels(train$month))

submission <- prop %>%
  mutate("201610" = predict.gbm(object = gbmModel, 
                                newdata = prop, #prop needs to have the same features as my train data
                                n.trees = number_trees, 
                                type = "response"),
         
         #manually sets the month to november to be used in the predict X data prop
         month = factor("11", levels = levels(train$month)),
         
         "201611" = predict.gbm(object = gbmModel, newdata = prop, n.trees = number_trees, type = "response"), 
         #manually sets the month to december
         month=factor("12", levels = levels(train$month)),
         
         "201612"=predict.gbm(object=gbmModel, newdata=prop, n.trees=number_trees, type="response"), 
         #month=factor("10", levels = levels(train$month)),
         "201710"=0, 
         #month=factor("11", levels = levels(train$month)),
         "201711"=0, 
         #month=factor("12", levels = levels(train$month)),
         "201712"=0) %>%
  
  select(parcelid, `201610`, `201611`, `201612`, `201710`, `201711`, `201712`)

options(scipen = 999) ## DO not use scientific notation 
write.csv(submission, "submission_with_new_features.csv", row.names = FALSE)

```

