# Supervised Learning with tidylearn

    library(tidylearn)
    library(dplyr)

## Introduction

This vignette demonstrates supervised learning capabilities in tidylearn. All methods shown here wrap established R packages - the algorithms are unchanged, tidylearn simply provides a consistent interface and tidy output.

Wrapped packages include:

- stats (`lm()`, `glm()`) for linear and logistic regression
- rpart for decision trees
- randomForest for random forests
- gbm and xgboost for gradient boosting
- glmnet for regularization (ridge, lasso, elastic net)
- e1071 for support vector machines
- nnet for neural networks

Access raw model objects via `model$fit` for package-specific functionality.

## Classification

### Binary Classification

Let’s create a binary classification problem from the iris dataset:

    # Create binary classification dataset
    iris_binary <- iris %>%
      filter(Species %in% c("setosa", "versicolor")) %>%
      mutate(Species = droplevels(Species))

    # Split data
    split <- tl_split(iris_binary, prop = 0.7, stratify = "Species", seed = 123)

#### Logistic Regression

    # Train logistic regression
    model_logistic <- tl_model(split$train, Species ~ ., method = "logistic")
    #> Warning: glm.fit: algorithm did not converge
    #> Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
    print(model_logistic)
    #> tidylearn Model
    #> ===============
    #> Paradigm: supervised
    #> Method: logistic
    #> Task: Classification
    #> Formula: Species ~ .
    #>
    #> Training observations: 70

    # Predictions
    preds_logistic <- predict(model_logistic, new_data = split$test)
    head(preds_logistic)
    #> # A tibble: 6 × 1
    #>      .pred
    #>      <dbl>
    #> 1 2.22e-16
    #> 2 2.22e-16
    #> 3 2.22e-16
    #> 4 2.22e-16
    #> 5 2.22e-16
    #> 6 2.22e-16

#### Decision Trees

    # Train decision tree
    model_tree <- tl_model(split$train, Species ~ ., method = "tree")
    print(model_tree)
    #> tidylearn Model
    #> ===============
    #> Paradigm: supervised
    #> Method: tree
    #> Task: Classification
    #> Formula: Species ~ .
    #>
    #> Training observations: 70

    # Predictions
    preds_tree <- predict(model_tree, new_data = split$test)

### Multi-class Classification

    # Split full iris dataset
    split_multi <- tl_split(iris, prop = 0.7, stratify = "Species", seed = 123)

#### Random Forest

    # Train random forest
    model_forest <- tl_model(split_multi$train, Species ~ ., method = "forest")
    print(model_forest)
    #> tidylearn Model
    #> ===============
    #> Paradigm: supervised
    #> Method: forest
    #> Task: Classification
    #> Formula: Species ~ .
    #>
    #> Training observations: 105

    # Predictions
    preds_forest <- predict(model_forest, new_data = split_multi$test)
    head(preds_forest)
    #> # A tibble: 6 × 1
    #>   .pred
    #>   <fct>
    #> 1 setosa
    #> 2 setosa
    #> 3 setosa
    #> 4 setosa
    #> 5 setosa
    #> 6 setosa

    # Accuracy on test set
    mean(preds_forest$.pred == split_multi$test$Species)
    #> [1] 0.9333333

#### Support Vector Machines

    # Train SVM
    model_svm <- tl_model(split_multi$train, Species ~ ., method = "svm")
    print(model_svm)

    # Predictions
    preds_svm <- predict(model_svm, new_data = split_multi$test)

## Regression

### Linear Regression

    # Split mtcars data
    split_reg <- tl_split(mtcars, prop = 0.7, seed = 123)

    # Train linear model
    model_lm <- tl_model(split_reg$train, mpg ~ wt + hp + disp, method = "linear")
    print(model_lm)
    #> tidylearn Model
    #> ===============
    #> Paradigm: supervised
    #> Method: linear
    #> Task: Regression
    #> Formula: mpg ~ wt + hp + disp
    #>
    #> Training observations: 22

    # Predictions
    preds_lm <- predict(model_lm, new_data = split_reg$test)
    head(preds_lm)
    #> # A tibble: 6 × 1
    #>   .pred
    #>   <dbl>
    #> 1  24.0
    #> 2  23.1
    #> 3  21.2
    #> 4  20.7
    #> 5  16.0
    #> 6  17.2

    # Calculate RMSE
    rmse <- sqrt(mean((preds_lm$.pred - split_reg$test$mpg)^2))
    cat("RMSE:", round(rmse, 2), "\n")
    #> RMSE: 2.16

### Polynomial Regression

    # Polynomial regression for non-linear relationships
    model_poly <- tl_model(
      split_reg$train, mpg ~ wt,
      method = "polynomial", degree = 2
    )
    print(model_poly)
    #> tidylearn Model
    #> ===============
    #> Paradigm: supervised
    #> Method: polynomial
    #> Task: Regression
    #> Formula: mpg ~ wt
    #>
    #> Training observations: 22

    # Predictions
    preds_poly <- predict(model_poly, new_data = split_reg$test)

    # RMSE
    rmse_poly <- sqrt(mean((preds_poly$.pred - split_reg$test$mpg)^2))
    cat("Polynomial RMSE:", round(rmse_poly, 2), "\n")
    #> Polynomial RMSE: 2.09

### Random Forest Regression

    # Train random forest for regression
    model_rf_reg <- tl_model(split_reg$train, mpg ~ ., method = "forest")
    print(model_rf_reg)
    #> tidylearn Model
    #> ===============
    #> Paradigm: supervised
    #> Method: forest
    #> Task: Regression
    #> Formula: mpg ~ .
    #>
    #> Training observations: 22

    # Predictions
    preds_rf <- predict(model_rf_reg, new_data = split_reg$test)

    # RMSE
    rmse_rf <- sqrt(mean((preds_rf$.pred - split_reg$test$mpg)^2))
    cat("Random Forest RMSE:", round(rmse_rf, 2), "\n")
    #> Random Forest RMSE: 1.97

## Regularized Regression

Regularization helps prevent overfitting by adding penalties to model complexity.

### Ridge Regression

    # Ridge regression (L2 regularization)
    model_ridge <- tl_model(split_reg$train, mpg ~ ., method = "ridge")
    print(model_ridge)

    # Predictions
    preds_ridge <- predict(model_ridge, new_data = split_reg$test)

### LASSO

    # LASSO (L1 regularization) - performs feature selection
    model_lasso <- tl_model(split_reg$train, mpg ~ ., method = "lasso")
    print(model_lasso)

    # Predictions
    preds_lasso <- predict(model_lasso, new_data = split_reg$test)

### Elastic Net

    # Elastic Net - combines L1 and L2 regularization
    model_enet <- tl_model(
      split_reg$train, mpg ~ .,
      method = "elastic_net", alpha = 0.5
    )
    print(model_enet)

    # Predictions
    preds_enet <- predict(model_enet, new_data = split_reg$test)

## Model Comparison

    # Compare multiple models
    models <- list(
      linear = tl_model(split_reg$train, mpg ~ ., method = "linear"),
      tree = tl_model(split_reg$train, mpg ~ ., method = "tree"),
      forest = tl_model(split_reg$train, mpg ~ ., method = "forest")
    )

    # Calculate RMSE for each model
    results <- data.frame(
      Model = character(),
      RMSE = numeric(),
      stringsAsFactors = FALSE
    )

    for (model_name in names(models)) {
      preds <- predict(models[[model_name]], new_data = split_reg$test)
      rmse <- sqrt(mean((preds$.pred - split_reg$test$mpg)^2))

      results <- rbind(results, data.frame(
        Model = model_name,
        RMSE = rmse
      ))
    }

    results <- results %>% arrange(RMSE)
    print(results)
    #>    Model     RMSE
    #> 1 forest 2.046967
    #> 2 linear 2.281450
    #> 3   tree 4.095888

## Advanced Features

### Using Preprocessed Data

    # Preprocess data
    processed <- tl_prepare_data(
      split_reg$train,
      mpg ~ .,
      scale_method = "standardize",
      remove_correlated = TRUE,
      correlation_cutoff = 0.9
    )
    #> Removing 1 highly correlated features
    #> Scaling numeric features using method: standardize

    # Train on preprocessed data
    model_processed <- tl_model(processed$data, mpg ~ ., method = "linear")
    print(model_processed)
    #> tidylearn Model
    #> ===============
    #> Paradigm: supervised
    #> Method: linear
    #> Task: Regression
    #> Formula: mpg ~ .
    #>
    #> Training observations: 22

### Formula Variations

    # Interaction terms
    model_interact <- tl_model(split_reg$train, mpg ~ wt * hp, method = "linear")

    # Polynomial terms using I()
    model_poly_manual <- tl_model(
      split_reg$train, mpg ~ wt + I(wt^2), method = "linear"
    )

    # Subset of predictors
    model_subset <- tl_model(
      split_reg$train, mpg ~ wt + hp + disp, method = "linear"
    )

## Handling Different Data Types

### Categorical Predictors

    # Create dataset with categorical variables
    mtcars_cat <- mtcars %>%
      mutate(
        cyl = as.factor(cyl),
        gear = as.factor(gear),
        am = as.factor(am)
      )

    split_cat <- tl_split(mtcars_cat, prop = 0.7, seed = 123)

    # Model with categorical predictors
    model_cat <- tl_model(split_cat$train, mpg ~ ., method = "forest")
    print(model_cat)
    #> tidylearn Model
    #> ===============
    #> Paradigm: supervised
    #> Method: forest
    #> Task: Regression
    #> Formula: mpg ~ .
    #>
    #> Training observations: 22

### Missing Values

    # Create data with missing values
    mtcars_missing <- mtcars
    mtcars_missing[sample(seq_len(nrow(mtcars_missing)), 5), "hp"] <- NA
    mtcars_missing[sample(seq_len(nrow(mtcars_missing)), 3), "wt"] <- NA

    # Preprocess to handle missing values
    processed_missing <- tl_prepare_data(
      mtcars_missing,
      mpg ~ .,
      impute_method = "mean",
      scale_method = "standardize"
    )
    #> Imputing missing values using method: mean
    #> Scaling numeric features using method: standardize

    # Train model
    model_imputed <- tl_model(processed_missing$data, mpg ~ ., method = "linear")

## Best Practices

1. Always split your data before training to properly evaluate performance
2. Use stratified splitting for classification to maintain class proportions
3. Preprocess your data for better model performance
4. Compare multiple models to find the best approach
5. Consider regularization when dealing with many predictors
6. Use appropriate metrics - accuracy for classification, RMSE/MAE for regression

## Summary

tidylearn provides a unified interface for supervised learning:

- Classification: Logistic regression, decision trees, random forests, SVM, etc.
- Regression: Linear, polynomial, random forests, regularized methods
- Preprocessing: Integrated data preparation tools
- Consistent API: Same function (`tl_model()`) for all methods
- Tidy Output: Easy-to-use predictions and model objects

    # Complete workflow example
    final_split <- tl_split(iris, prop = 0.7, stratify = "Species", seed = 42)
    final_prep <- tl_prepare_data(
      final_split$train, Species ~ .,
      scale_method = "standardize"
    )
    #> Scaling numeric features using method: standardize
    final_model <- tl_model(final_prep$data, Species ~ ., method = "forest")
    final_preds <- predict(final_model, new_data = final_split$test)

    # Evaluate
    accuracy <- mean(final_preds$.pred == final_split$test$Species)
    cat("Test Accuracy:", round(accuracy * 100, 1), "%\n")
    #> Test Accuracy: 33.3 %