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descriptive names
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@ -15,68 +15,68 @@ class RidgeRegression:
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self.theta: np.ndarray = None
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def feature_scaling(
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self, x: np.ndarray
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self, features: np.ndarray
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) -> tuple[np.ndarray, np.ndarray, np.ndarray]:
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mean = np.mean(x, axis=0)
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std = np.std(x, axis=0)
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mean = np.mean(features, axis=0)
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std = np.std(features, axis=0)
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# avoid division by zero for constant features (std = 0)
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std[std == 0] = 1 # set std=1 for constant features to avoid NaN
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x_scaled = (x - mean) / std
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return x_scaled, mean, std
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features_scaled = (features - mean) / std
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return features_scaled, mean, std
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def fit(self, x: np.ndarray, y: np.ndarray) -> None:
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x_scaled, mean, std = self.feature_scaling(x)
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m, n = x_scaled.shape
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def fit(self, features: np.ndarray, target: np.ndarray) -> None:
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features_scaled, mean, std = self.feature_scaling(features)
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m, n = features_scaled.shape
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self.theta = np.zeros(n) # initializing weights to zeros
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for _ in range(self.num_iterations):
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predictions = x_scaled.dot(self.theta)
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error = predictions - y
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predictions = features_scaled.dot(self.theta)
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error = predictions - target
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# computing gradient with L2 regularization
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gradient = (
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x_scaled.T.dot(error) + self.regularization_param * self.theta
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features_scaled.T.dot(error) + self.regularization_param * self.theta
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) / m
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self.theta -= self.alpha * gradient # updating weights
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def predict(self, x: np.ndarray) -> np.ndarray:
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x_scaled, _, _ = self.feature_scaling(x)
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return x_scaled.dot(self.theta)
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def predict(self, features: np.ndarray) -> np.ndarray:
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features_scaled, _, _ = self.feature_scaling(features)
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return features_scaled.dot(self.theta)
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def compute_cost(self, x: np.ndarray, y: np.ndarray) -> float:
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x_scaled, _, _ = self.feature_scaling(x)
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m = len(y)
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def compute_cost(self, features: np.ndarray, target: np.ndarray) -> float:
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features_scaled, _, _ = self.feature_scaling(features)
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m = len(target)
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predictions = x_scaled.dot(self.theta)
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cost = (1 / (2 * m)) * np.sum((predictions - y) ** 2) + (
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predictions = features_scaled.dot(self.theta)
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cost = (1 / (2 * m)) * np.sum((predictions - target) ** 2) + (
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self.regularization_param / (2 * m)
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) * np.sum(self.theta**2)
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return cost
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def mean_absolute_error(self, y_true: np.ndarray, y_pred: np.ndarray) -> float:
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return np.mean(np.abs(y_true - y_pred))
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def mean_absolute_error(self, target: np.ndarray, predictions: np.ndarray) -> float:
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return np.mean(np.abs(target - predictions))
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# Example usage
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if __name__ == "__main__":
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data = pd.read_csv("ADRvsRating.csv")
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x = data[["Rating"]].to_numpy()
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y = data["ADR"].to_numpy()
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y = (y - np.mean(y)) / np.std(y)
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features_matrix = data[["Rating"]].to_numpy()
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target = data["ADR"].to_numpy()
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target = (target - np.mean(target)) / np.std(target)
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# added bias term to the feature matrix
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x = np.c_[np.ones(x.shape[0]), x]
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x = np.c_[np.ones(features_matrix.shape[0]), features_matrix]
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# initialize and train the ridge regression model
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model = RidgeRegression(alpha=0.01, regularization_param=0.1, num_iterations=1000)
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model.fit(x, y)
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model.fit(features_matrix, target)
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# predictions
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predictions = model.predict(x)
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predictions = model.predict(features_matrix)
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# results
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print("Optimized Weights:", model.theta)
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print("Cost:", model.compute_cost(x, y))
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print("Mean Absolute Error:", model.mean_absolute_error(y, predictions))
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print("Cost:", model.compute_cost(features_matrix, target))
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print("Mean Absolute Error:", model.mean_absolute_error(target, predictions))
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@ -23,9 +23,9 @@ def test_feature_scaling():
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Tests the feature_scaling function of RidgeRegression.
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--------
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>>> model = RidgeRegression()
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>>> X = np.array([[1, 2], [2, 3], [3, 4]])
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>>> X_scaled, mean, std = model.feature_scaling(X)
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>>> np.round(X_scaled, 2)
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>>> features = np.array([[1, 2], [2, 3], [3, 4]])
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>>> features_scaled, mean, std = model.feature_scaling(features)
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>>> np.round(features_scaled, 2)
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array([[-1.22, -1.22],
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[ 0. , 0. ],
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[ 1.22, 1.22]])
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@ -43,14 +43,14 @@ def test_fit():
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>>> model = RidgeRegression(alpha=0.01,
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... regularization_param=0.1,
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... num_iterations=1000)
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>>> X = np.array([[1], [2], [3]])
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>>> y = np.array([2, 3, 4])
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>>> features = np.array([[1], [2], [3]])
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>>> target = np.array([2, 3, 4])
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# Adding a bias term
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>>> X = np.c_[np.ones(X.shape[0]), X]
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>>> features = np.c_[np.ones(features.shape[0]), features]
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# Fit the model
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>>> model.fit(X, y)
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>>> model.fit(features, target)
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# Check if the weights have been updated
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>>> np.round(model.theta, decimals=2)
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@ -65,17 +65,17 @@ def test_predict():
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>>> model = RidgeRegression(alpha=0.01,
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... regularization_param=0.1,
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... num_iterations=1000)
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>>> X = np.array([[1], [2], [3]])
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>>> y = np.array([2, 3, 4])
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>>> features = np.array([[1], [2], [3]])
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>>> target = np.array([2, 3, 4])
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# Adding a bias term
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>>> X = np.c_[np.ones(X.shape[0]), X]
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>>> features = np.c_[np.ones(features.shape[0]), features]
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# Fit the model
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>>> model.fit(X, y)
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>>> model.fit(features, target)
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# Predict with the model
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>>> predictions = model.predict(X)
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>>> predictions = model.predict(features)
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>>> np.round(predictions, decimals=2)
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array([-0.97, 0. , 0.97])
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"""
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@ -86,9 +86,9 @@ def test_mean_absolute_error():
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Tests the mean_absolute_error function of RidgeRegression
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--------
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>>> model = RidgeRegression()
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>>> y_true = np.array([2, 3, 4])
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>>> y_pred = np.array([2.1, 3.0, 3.9])
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>>> mae = model.mean_absolute_error(y_true, y_pred)
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>>> target = np.array([2, 3, 4])
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>>> predictions = np.array([2.1, 3.0, 3.9])
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>>> mae = model.mean_absolute_error(target, predictions)
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>>> float(np.round(mae, 2))
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0.07
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"""
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