CubicSVM

Setting

rm(list=ls(all=TRUE))
setwd('C:/Users/sitdo/Documents/GitHub/IBD-EDA/paper1/')

Loading Data

library(dplyr)

载入程辑包：‘dplyr’

The following objects are masked from ‘package:stats’:

    filter, lag

The following objects are masked from ‘package:base’:

    intersect, setdiff, setequal, union

data <- read.csv("./data_preprocessed/data.csv") %>% select(-1)

Installing Packages

library(e1071)

Method I: Splitting Data

set.seed(123)
splitting_ratio <- 0.7

indices <- 1:nrow(data)
shuffled_indices <- sample(indices) 
train_size <- floor(splitting_ratio * length(indices))

train_indices <- shuffled_indices[1:train_size]
test_indices <- shuffled_indices[(train_size + 1):length(indices)]

train_data <- data[train_indices, ]
test_data <- data[test_indices, ]

Building Model

cubic_svm_model <- svm(dod ~ ., data = train_data, kernel = "polynomial", degree = 3)

predictions <- predict(cubic_svm_model, newdata = test_data)

Performance

Confusion Matrix

confusion_matrix <- table(
  as.numeric(test_data$dod), as.numeric(ifelse(predictions > 0.5, 1, 0))
)

TP <- confusion_matrix[1, 1]
TN <- confusion_matrix[2, 2]
FP <- confusion_matrix[2, 1]
FN <- confusion_matrix[1, 2]

## Calculate Accuracy
accuracy <- (TP + TN) / (TP + FP + TN + FN)
cat("Accuracy:", accuracy, "\n")

Accuracy: 0.8526171 

## Calculate Recall
recall <- TP / (TP + FN)
cat("Recall:", recall, "\n")

Recall: 0.97557 

## Calculate Precision
precision <- TP / (TP + FP)
cat("Precision:", precision, "\n")

Precision: 0.8668596 

## Calculate Specificity
specificity <- TN / (TN + FP)
cat("Specificity:", specificity, "\n")

Specificity: 0.1785714 

## Calculate F1 Score
f1_score <- 2 * (precision * recall) / (precision + recall)
cat("F1 Score:", f1_score, "\n")

F1 Score: 0.9180077 

ROC Curve

library(pROC)

Type 'citation("pROC")' for a citation.

载入程辑包：‘pROC’

The following objects are masked from ‘package:stats’:

    cov, smooth, var

# Calculate ROC curve using the actual values and predictions
roc_obj <- roc(
  as.numeric(test_data$dod), predictions
)

Setting levels: control = 0, case = 1
Setting direction: controls < cases

# Plot the ROC curve
plot(
  roc_obj,
  col = "blue",
  main = "ROC Curve - Cubic SVM",
  legacy.axes = TRUE,
  print.auc = TRUE,
  print.thres = TRUE,
  grid = c(0.2, 0.2),
  grid.col = c("green", "orange")
)

Method II: Cross Validation

# Perform 10-fold cross-validation
num_folds <- 10
folds <- cut(seq(1, nrow(data)), breaks = num_folds, labels = FALSE)

# Create empty vectors to store the predictions and actual values
all_predictions <- vector()
all_actuals <- vector()

for (i in 1:num_folds) {
  # Split the data into training and test sets for the current fold
  train_data <- data[folds != i, ]
  test_data <- data[folds == i, ]
  
  train_X <- as.matrix(train_data[, -1])
  train_y <- train_data[, 1]
  test_X <- as.matrix(test_data[, -1])
  test_y <- test_data[, 1]
  
  cubic_svm_model <- svm(dod ~ ., data = train_data, kernel = "polynomial", degree = 3)

  predictions <- predict(cubic_svm_model, newdata = test_data)
  
  # Append the predictions and actual values to the vectors
  all_predictions <- c(all_predictions, predictions)
  all_actuals <- c(all_actuals, test_y)
}

Performance

Confusion Matrix

confusion_matrix <- table(
  as.numeric(all_actuals), 
  as.numeric(ifelse(all_predictions > 0.5, 1, 0))
)

TP <- confusion_matrix[1, 1]
TN <- confusion_matrix[2, 2]
FP <- confusion_matrix[2, 1]
FN <- confusion_matrix[1, 2]

## Calculate Accuracy
accuracy <- (TP + TN) / (TP + FP + TN + FN)
cat("Accuracy:", accuracy, "\n")

Accuracy: 0.8638808 

## Calculate Recall
recall <- TP / (TP + FN)
cat("Recall:", recall, "\n")

Recall: 0.9774178 

## Calculate Precision
precision <- TP / (TP + FP)
cat("Precision:", precision, "\n")

Precision: 0.8755497 

## Calculate Specificity
specificity <- TN / (TN + FP)
cat("Specificity:", specificity, "\n")

Specificity: 0.2552632 

## Calculate F1 Score
f1_score <- 2 * (precision * recall) / (precision + recall)
cat("F1 Score:", f1_score, "\n")

F1 Score: 0.9236836 

ROC Curve

# Calculate ROC curve using the actual values and predictions
roc_obj <- roc(
  as.numeric(all_actuals), all_predictions
)

Setting levels: control = 0, case = 1
Setting direction: controls < cases

# Plot the ROC curve
plot(
  roc_obj,
  col = "blue",
  main = "ROC Curve - Cubic SVM (Cross Validation)",
  legacy.axes = TRUE,
  print.auc = TRUE,
  print.thres = TRUE,
  grid = c(0.2, 0.2),
  grid.col = c("green", "orange")
)