Add perceptron classifier to machine learning section with documentation

DIRECTORY.md

@@ -80,6 +80,7 @@
 
 ## Machine Learning
   * [Gradient Boosting](https://github.com/TheAlgorithms/R/blob/HEAD/machine_learning/gradient_boosting.r)
+  * [Perceptron](https://github.com/TheAlgorithms/R/blob/HEAD/machine_learning/perceptron.r)
 
 
 ## Mathematics

documentation/perceptron.md

@@ -0,0 +1,25 @@
+# Perceptron
+
+A simple linear classifier using the perceptron learning rule. This implementation supports binary classification and multiclass classification with direct multiclass perceptron updates.
+
+``` r
+library(R6)
+source("../machine_learning/perceptron.r")
+
+# example data for binary classification
+X <- matrix(c(
+  0.1, 0.3,
+  0.2, 0.1,
+  0.9, 0.8,
+  0.7, 0.9
+), ncol = 2, byrow = TRUE)
+
+y <- factor(c("class1", "class1", "class2", "class2"))
+
+model <- Perceptron$new(learning_rate = 0.1, n_epochs = 20, shuffle = FALSE, random_state = 42)
+model$fit(X, y)
+
+predictions <- model$predict(X)
+print(predictions)
+print(model$score(X, y))
+```

machine_learning/perceptron.r

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+# perceptron.r
+# Perceptron classifier implementation in R
+# A simple linear classifier using the perceptron learning rule.
+# Supports binary classification and multiclass classification
+# using direct multiclass perceptron updates.
+# Time Complexity: O(n_epochs * n_samples * n_features)
+# Space Complexity: O(n_classes * n_features)
+
+library(R6)
+
+Perceptron <- R6Class("Perceptron",
+  public = list(
+    learning_rate = NULL,
+    n_epochs = NULL,
+    shuffle = NULL,
+    fit_intercept = NULL,
+    random_state = NULL,
+    classes = NULL,
+    weights = NULL,
+    is_multiclass = NULL,
+
+    initialize = function(learning_rate = 0.1,
+                          n_epochs = 100,
+                          shuffle = TRUE,
+                          fit_intercept = TRUE,
+                          random_state = NULL) {
+      self$learning_rate <- learning_rate
+      self$n_epochs <- n_epochs
+      self$shuffle <- shuffle
+      self$fit_intercept <- fit_intercept
+      self$random_state <- random_state
+    },
+
+    fit = function(X, y) {
+      if (is.data.frame(X)) X <- as.matrix(X)
+      if (!is.matrix(X)) stop("X must be a numeric matrix or data.frame.")
+      if (!is.numeric(X)) stop("X must contain numeric features.")
+      if (any(is.na(X))) stop("X must not contain missing values.")
+
+      if (is.character(y)) y <- factor(y)
+      if (is.factor(y)) {
+        self$classes <- levels(y)
+      } else {
+        self$classes <- sort(unique(y))
+      }
+
+      if (length(y) != nrow(X)) stop("Length of y must match rows of X.")
+      if (length(self$classes) < 2) stop("Perceptron requires at least two classes.")
+
+      X <- as.matrix(X)
+      n_samples <- nrow(X)
+      n_features <- ncol(X)
+      if (self$fit_intercept) {
+        X <- cbind(1, X)
+        n_features <- n_features + 1
+      }
+
+      if (length(self$classes) == 2) {
+        self$is_multiclass <- FALSE
+        self$weights <- rep(0, n_features)
+      } else {
+        self$is_multiclass <- TRUE
+        self$weights <- matrix(0, nrow = length(self$classes), ncol = n_features)
+      }
+
+      if (!is.null(self$random_state)) {
+        set.seed(self$random_state)
+      }
+
+      y_encoded <- self$encode_labels(y)
+
+      for (epoch in seq_len(self$n_epochs)) {
+        indices <- seq_len(n_samples)
+        if (self$shuffle) {
+          indices <- sample(indices)
+        }
+
+        for (i in indices) {
+          x_i <- X[i, ]
+          y_i <- y_encoded[i]
+
+          if (self$is_multiclass) {
+            scores <- self$weights %*% x_i
+            predicted <- which.max(scores)
+            if (predicted != y_i) {
+              self$weights[y_i, ] <- self$weights[y_i, ] + self$learning_rate * x_i
+              self$weights[predicted, ] <- self$weights[predicted, ] - self$learning_rate * x_i
+            }
+          } else {
+            score <- sum(self$weights * x_i)
+            if (y_i * score <= 0) {
+              self$weights <- self$weights + self$learning_rate * y_i * x_i
+            }
+          }
+        }
+      }
+
+      invisible(self)
+    },
+
+    predict = function(X_new) {
+      if (is.data.frame(X_new)) X_new <- as.matrix(X_new)
+      if (is.vector(X_new)) X_new <- matrix(X_new, nrow = 1)
+      if (!is.matrix(X_new)) stop("X_new must be a numeric matrix, data.frame, or vector.")
+      if (!is.numeric(X_new)) stop("X_new must contain numeric features.")
+      if (any(is.na(X_new))) stop("X_new must not contain missing values.")
+
+      if (self$fit_intercept) {
+        X_new <- cbind(1, X_new)
+      }
+
+      if (self$is_multiclass) {
+        scores <- X_new %*% t(self$weights)
+        predicted_idx <- apply(scores, 1, which.max)
+        return(self$classes[predicted_idx])
+      }
+
+      raw_scores <- as.numeric(X_new %*% self$weights)
+      labels <- self$classes
+      predictions <- ifelse(raw_scores >= 0, labels[2], labels[1])
+      return(predictions)
+    },
+
+    score = function(X, y) {
+      predictions <- self$predict(X)
+      if (is.factor(y) || is.character(y)) {
+        y <- as.character(y)
+        predictions <- as.character(predictions)
+      }
+      mean(predictions == y)
+    },
+
+    encode_labels = function(y) {
+      if (self$is_multiclass) {
+        if (is.factor(y)) {
+          return(as.integer(y))
+        }
+        return(match(y, self$classes))
+      }
+
+      if (is.factor(y)) {
+        y <- as.character(y)
+      }
+      labels <- self$classes
+      if (is.factor(labels)) {
+        labels <- as.character(labels)
+      }
+      if (is.null(labels) || length(labels) == 0) {
+        labels <- unique(y)
+        if (length(labels) != 2) stop("Binary perceptron requires exactly two classes.")
+        self$classes <- labels
+      } else {
+        if (length(labels) != 2) stop("Binary perceptron requires exactly two classes.")
+      }
+      if (any(!y %in% labels)) {
+        stop("Binary perceptron received labels not present in self$classes.")
+      }
+      y_bin <- ifelse(y == labels[2], 1, -1)
+      return(y_bin)
+    }
+  )
+)
+
+# Example usage:
+# data(iris)
+# X <- as.matrix(iris[, 1:4])
+# y <- iris$Species
+# model <- Perceptron$new(learning_rate = 0.1, n_epochs = 50, shuffle = TRUE)
+# model$fit(X, y)
+# preds <- model$predict(X)
+# cat('Training accuracy:', model$score(X, y), '\n')