import numpy as np
from sklearn.datasets import load_iris
from sklearn.metrics import accuracy_score
from sklearn.model_selection import train_test_split
from sklearn.tree import DecisionTreeRegressor
class GradientBoostingClassifier:
def __init__(self, n_estimators: int = 100, learning_rate: float = 0.1) -> None:
"""
Initialize a GradientBoostingClassifier.
Parameters:
- n_estimators (int): The number of weak learners to train.
- learning_rate (float): The learning rate for updating the model.
Attributes:
- n_estimators (int): The number of weak learners.
- learning_rate (float): The learning rate.
- models (list): A list to store the trained weak learners.
"""
self.n_estimators = n_estimators
self.learning_rate = learning_rate
self.models: list[tuple[DecisionTreeRegressor, float]] = []
def fit(self, features: np.ndarray, target: np.ndarray) -> None:
"""
Fit the GradientBoostingClassifier to the training data.
Parameters:
- features (np.ndarray): The training features.
- target (np.ndarray): The target values.
Returns:
None
>>> import numpy as np
>>> from sklearn.datasets import load_iris
>>> clf = GradientBoostingClassifier(n_estimators=100, learning_rate=0.1)
>>> iris = load_iris()
>>> X, y = iris.data, iris.target
>>> clf.fit(X, y)
>>> # Check if the model is trained
>>> len(clf.models) == 100
True
"""
for _ in range(self.n_estimators):
residuals = -self.gradient(target, self.predict(features))
model = DecisionTreeRegressor(max_depth=1)
model.fit(features, residuals)
self.models.append((model, self.learning_rate))
def predict(self, features: np.ndarray) -> np.ndarray:
"""
Make predictions on input data.
Parameters:
- features (np.ndarray): The input data for making predictions.
Returns:
- np.ndarray: An array of binary predictions (-1 or 1).
>>> import numpy as np
>>> from sklearn.datasets import load_iris
>>> clf = GradientBoostingClassifier(n_estimators=100, learning_rate=0.1)
>>> iris = load_iris()
>>> X, y = iris.data, iris.target
>>> clf.fit(X, y)
>>> y_pred = clf.predict(X)
>>> # Check if the predictions have the correct shape
>>> y_pred.shape == y.shape
True
"""
predictions = np.zeros(features.shape[0])
for model, learning_rate in self.models:
predictions += learning_rate * model.predict(features)
return np.sign(predictions)
def gradient(self, target: np.ndarray, y_pred: np.ndarray) -> np.ndarray:
"""
Calculate the negative gradient (pseudo-residuals) for logistic loss.
Parameters:
- target (np.ndarray): The target values.
- y_pred (np.ndarray): The predicted values.
Returns:
- np.ndarray: An array of pseudo-residuals.
>>> import numpy as np
>>> clf = GradientBoostingClassifier(n_estimators=100, learning_rate=0.1)
>>> target = np.array([0, 1, 0, 1])
>>> y_pred = np.array([0.2, 0.8, 0.3, 0.7])
>>> residuals = clf.gradient(target, y_pred)
>>> # Check if residuals have the correct shape
>>> residuals.shape == target.shape
True
"""
return -target / (1 + np.exp(target * y_pred))
if __name__ == "__main__":
iris = load_iris()
X, y = iris.data, iris.target
X_train, X_test, y_train, y_test = train_test_split(
X, y, test_size=0.2, random_state=42
)
clf = GradientBoostingClassifier(n_estimators=100, learning_rate=0.1)
clf.fit(X_train, y_train)
y_pred = clf.predict(X_test)
accuracy = accuracy_score(y_test, y_pred)
print(f"Accuracy: {accuracy:.2f}")