From 6aa7d41bcd3069db94184a5d8ffc226fa657431e Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 13:13:27 -0800 Subject: [PATCH 01/15] Added .py file --- .idea/.gitignore | 3 + .idea/ML-Project2.iml | 12 ++ .idea/inspectionProfiles/Project_Default.xml | 12 ++ .../inspectionProfiles/profiles_settings.xml | 6 + .idea/misc.xml | 7 + .idea/modules.xml | 8 + GBTesting.py | 112 ++++++++++++++ Gradient_boosting.py | 137 ++++++++++++++++++ README.md | 18 --- 9 files changed, 297 insertions(+), 18 deletions(-) create mode 100644 .idea/.gitignore create mode 100644 .idea/ML-Project2.iml create mode 100644 .idea/inspectionProfiles/Project_Default.xml create mode 100644 .idea/inspectionProfiles/profiles_settings.xml create mode 100644 .idea/misc.xml create mode 100644 .idea/modules.xml create mode 100644 GBTesting.py create mode 100644 Gradient_boosting.py delete mode 100644 README.md diff --git a/.idea/.gitignore b/.idea/.gitignore new file mode 100644 index 0000000..26d3352 --- /dev/null +++ b/.idea/.gitignore @@ -0,0 +1,3 @@ +# Default ignored files +/shelf/ +/workspace.xml diff --git a/.idea/ML-Project2.iml b/.idea/ML-Project2.iml new file mode 100644 index 0000000..58282ee --- /dev/null +++ b/.idea/ML-Project2.iml @@ -0,0 +1,12 @@ + + + + + + + + + + \ No newline at end of file diff --git a/.idea/inspectionProfiles/Project_Default.xml b/.idea/inspectionProfiles/Project_Default.xml new file mode 100644 index 0000000..54264f1 --- /dev/null +++ b/.idea/inspectionProfiles/Project_Default.xml @@ -0,0 +1,12 @@ + + + + \ No newline at end of file diff --git a/.idea/inspectionProfiles/profiles_settings.xml b/.idea/inspectionProfiles/profiles_settings.xml new file mode 100644 index 0000000..105ce2d --- /dev/null +++ b/.idea/inspectionProfiles/profiles_settings.xml @@ -0,0 +1,6 @@ + + + + \ No newline at end of file diff --git a/.idea/misc.xml b/.idea/misc.xml new file mode 100644 index 0000000..e842e29 --- /dev/null +++ b/.idea/misc.xml @@ -0,0 +1,7 @@ + + + + + + \ No newline at end of file diff --git a/.idea/modules.xml b/.idea/modules.xml new file mode 100644 index 0000000..9c12a60 --- /dev/null +++ b/.idea/modules.xml @@ -0,0 +1,8 @@ + + + + + + + + \ No newline at end of file diff --git a/GBTesting.py b/GBTesting.py new file mode 100644 index 0000000..d54ae2f --- /dev/null +++ b/GBTesting.py @@ -0,0 +1,112 @@ +import numpy as np +import unittest +import matplotlib.pyplot as plt +from sklearn.datasets import make_classification, make_blobs +from sklearn.model_selection import train_test_split +from sklearn.metrics import accuracy_score +from sklearn.ensemble import GradientBoostingClassifier as SklearnGBC +from Gradient_boosting import CustomGradientBoostingClassifier # Update with actual path + + +class TestGradientBoostingClassifier(unittest.TestCase): + def setUp(self): + self.seed = 42 + self.default_params = { + 'n_estimators': 100, + 'learning_rate': 0.1, + 'max_depth': 3 + } + + def _train_and_validate(self, X, y, params=None, min_accuracy=0.7, title="Test"): + params = params or self.default_params + X_train, X_test, y_train, y_test = train_test_split( + X, y, test_size=0.2, random_state=self.seed + ) + + model = CustomGradientBoostingClassifier(**params) + model.fit(X_train, y_train) + y_pred = model.predict(X_test) + acc_custom = accuracy_score(y_test, y_pred) + + sk_model = SklearnGBC(**params) + sk_model.fit(X_train, y_train) + sk_pred = sk_model.predict(X_test) + acc_sklearn = accuracy_score(y_test, sk_pred) + + print(f"\n{title}") + print(f"Custom Accuracy: {acc_custom:.4f}") + print(f"Sklearn Accuracy: {acc_sklearn:.4f}") + self.assertGreaterEqual(acc_custom, min_accuracy) + + self._plot_results(X_test, y_test, y_pred, sk_pred, title) + + return acc_custom, acc_sklearn + + def _plot_results(self, X, y_true, y_custom, y_sklearn, title): + if X.shape[1] > 2: + return + + fig, axs = plt.subplots(1, 3, figsize=(15, 4)) + axs[0].scatter(X[:, 0], X[:, 1], c=y_true, cmap="coolwarm", s=10) + axs[0].set_title("Ground Truth") + + axs[1].scatter(X[:, 0], X[:, 1], c=y_custom, cmap="coolwarm", s=10) + axs[1].set_title("Custom Model") + + axs[2].scatter(X[:, 0], X[:, 1], c=y_sklearn, cmap="coolwarm", s=10) + axs[2].set_title("Sklearn Model") + + fig.suptitle(title) + plt.tight_layout() + plt.show() + + def test_basic_functionality(self): + X, y = make_classification(n_samples=1000, n_features=2, + n_informative=2, n_redundant=0, random_state=self.seed) + self._train_and_validate(X, y, title="Basic Functionality") + + def test_high_learning_rate(self): + X, y = make_classification(n_samples=800, n_features=2, + n_redundant=0, random_state=self.seed) + params = {'learning_rate': 0.9, 'n_estimators': 50, 'max_depth': 3} + self._train_and_validate(X, y, params, min_accuracy=0.65, title="High Learning Rate") + + def test_low_learning_rate(self): + X, y = make_classification( + n_samples=1200, n_features=2, n_informative=2, + n_redundant=0, n_repeated=0, n_clusters_per_class=1, + random_state=self.seed + ) + params = {'learning_rate': 0.05, 'n_estimators': 200, 'max_depth': 3} + self._train_and_validate(X, y, params, title="Low Learning Rate") + + def test_shallow_trees(self): + X, y = make_classification(n_samples=1000, n_features=2, + n_informative=2, n_redundant=0, random_state=self.seed) + params = {'max_depth': 1, 'n_estimators': 150, 'learning_rate': 0.1} + self._train_and_validate(X, y, params, title="Shallow Trees") + + def test_noisy_data(self): + X, y = make_classification( + n_samples=1000, n_features=2, n_informative=2, + n_redundant=0, n_repeated=0, flip_y=0.3, + random_state=self.seed + ) + self._train_and_validate(X, y, min_accuracy=0.6, title="Noisy Data") + + def test_imbalanced_classes(self): + X, y = make_classification( + n_samples=1000, n_features=2, n_informative=2, + n_redundant=0, n_repeated=0, weights=[0.9, 0.1], + flip_y=0.01, random_state=self.seed + ) + self._train_and_validate(X, y, min_accuracy=0.7, title="Imbalanced Classes") + + def test_non_linear_boundary(self): + X, y = make_blobs(n_samples=1000, centers=2, + cluster_std=3.0, random_state=self.seed) + self._train_and_validate(X, y, title="Non-linear Boundary") + + +if __name__ == '__main__': + unittest.main() \ No newline at end of file diff --git a/Gradient_boosting.py b/Gradient_boosting.py new file mode 100644 index 0000000..50dc12f --- /dev/null +++ b/Gradient_boosting.py @@ -0,0 +1,137 @@ +import numpy as np +import time +from sklearn.datasets import make_classification +from sklearn.model_selection import train_test_split +from sklearn.metrics import accuracy_score +from sklearn.ensemble import GradientBoostingClassifier + +class Node: + def __init__(self, feature_index=None, threshold=None, left=None, right=None, value=None): + self.feature_index = feature_index + self.threshold = threshold + self.left = left + self.right = right + self.value = value + +class DecisionTreeRegressor: + def __init__(self, max_depth=3): + self.max_depth = max_depth + self.root = None + + def _mse(self, y): + if len(y) == 0: + return 0 + return np.mean((y - np.mean(y)) ** 2) + + def _best_split(self, X, y): + best_mse = float('inf') + best_feature = None + best_threshold = None + + for feature in range(X.shape[1]): + thresholds = np.unique(X[:, feature]) + for threshold in thresholds: + left_mask = X[:, feature] <= threshold + right_mask = ~left_mask + + left_mse = self._mse(y[left_mask]) + right_mse = self._mse(y[right_mask]) + total_mse = (left_mse * np.sum(left_mask) + right_mse * np.sum(right_mask)) / len(y) + + if total_mse < best_mse: + best_mse = total_mse + best_feature = feature + best_threshold = threshold + + return best_feature, best_threshold + + def _build_tree(self, X, y, depth=0): + if depth >= self.max_depth or len(np.unique(y)) == 1: + return Node(value=np.mean(y)) + + feature, threshold = self._best_split(X, y) + if feature is None: + return Node(value=np.mean(y)) + + left_mask = X[:, feature] <= threshold + right_mask = ~left_mask + + left_node = self._build_tree(X[left_mask], y[left_mask], depth + 1) + right_node = self._build_tree(X[right_mask], y[right_mask], depth + 1) + + return Node(feature_index=feature, threshold=threshold, left=left_node, right=right_node) + + def fit(self, X, y): + self.root = self._build_tree(X, y) + + def _predict_one(self, x, node): + if node.value is not None: + return node.value + if x[node.feature_index] <= node.threshold: + return self._predict_one(x, node.left) + else: + return self._predict_one(x, node.right) + + def predict(self, X): + return np.array([self._predict_one(x, self.root) for x in X]) + +class CustomGradientBoostingClassifier: + def __init__(self, n_estimators=100, learning_rate=0.1, max_depth=3): + self.n_estimators = n_estimators + self.learning_rate = learning_rate + self.max_depth = max_depth + self.trees = [] + self.initial_prediction = 0 + + def _sigmoid(self, x): + return 1 / (1 + np.exp(-x)) + + def _log_odds(self, y): + p = np.clip(np.mean(y), 1e-10, 1 - 1e-10) + return np.log(p / (1 - p)) + + def fit(self, X, y): + self.initial_prediction = self._log_odds(y) + current_pred = np.full(y.shape, self.initial_prediction) + + for _ in range(self.n_estimators): + residuals = y - self._sigmoid(current_pred) + + tree = DecisionTreeRegressor(max_depth=self.max_depth) + tree.fit(X, residuals) + + update = tree.predict(X) + current_pred += self.learning_rate * update + self.trees.append(tree) + + def predict_proba(self, X): + pred = np.full(X.shape[0], self.initial_prediction) + for tree in self.trees: + pred += self.learning_rate * tree.predict(X) + return self._sigmoid(pred) + + def predict(self, X): + return (self.predict_proba(X) >= 0.5).astype(int) + +def main(): + X, y = make_classification(n_samples=1000, n_features=10, n_informative=5, random_state=42) + X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42) + + start = time.time() + model = CustomGradientBoostingClassifier(n_estimators=100, learning_rate=0.1, max_depth=3) + model.fit(X_train, y_train) + custom_time = time.time() - start + y_pred = model.predict(X_test) + acc = accuracy_score(y_test, y_pred) + print(f"Custom Model Accuracy: {acc:.4f}, Time: {custom_time:.2f}s") + + start = time.time() + gb = GradientBoostingClassifier(n_estimators=100, learning_rate=0.1, max_depth=3) + gb.fit(X_train, y_train) + skl_time = time.time() - start + skl_pred = gb.predict(X_test) + skl_acc = accuracy_score(y_test, skl_pred) + print(f"Sklearn Model Accuracy: {skl_acc:.4f}, Time: {skl_time:.2f}s") + +if __name__ == "__main__": + main() diff --git a/README.md b/README.md deleted file mode 100644 index 3a7d465..0000000 --- a/README.md +++ /dev/null @@ -1,18 +0,0 @@ -# Project 2 - -## Boosting Trees - -Implement again from first principles the gradient-boosting tree classification algorithm (with the usual fit-predict interface as in Project 1) as described in Sections 10.9-10.10 of Elements of Statistical Learning (2nd Edition). Answer the questions below as you did for Project 1. In this assignment, you'll be responsible for developing your own test data to ensure that your implementation is satisfactory. (Hint: Use the same directory structure as in Project 1.) - -The same "from first principals" rules apply; please don't use SKLearn or any other implementation. Please provide examples in your README that will allow the TAs to run your model code and whatever tests you include. As usual, extra credit may be given for an "above and beyond" effort. - -As before, please clone this repo, work on your solution as a fork, and then open a pull request to submit your assignment. *A pull request is required to submit and your project will not be graded without a PR.* - -Put your README below. Answer the following questions. - -* What does the model you have implemented do and when should it be used? -* How did you test your model to determine if it is working reasonably correctly? -* What parameters have you exposed to users of your implementation in order to tune performance? (Also perhaps provide some basic usage examples.) -* Are there specific inputs that your implementation has trouble with? Given more time, could you work around these or is it fundamental? - - From 2611f864cf12ee76c1cf2c2c99146fc35e1a7ba7 Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 13:41:41 -0800 Subject: [PATCH 02/15] Added output images and test case --- Output images/Basic functionality.jpeg | Bin 0 -> 88915 bytes Output images/High learning rate.jpeg | Bin 0 -> 87192 bytes Output images/Imbalanced classess.jpeg | Bin 0 -> 80439 bytes Output images/Low learning rate.jpeg | Bin 0 -> 95072 bytes Output images/Shallow trees.jpeg | Bin 0 -> 88324 bytes Output images/non-linear boundary.jpeg | Bin 0 -> 94836 bytes GBTesting.py => test_case/GBTesting.py | 0 7 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 Output images/Basic functionality.jpeg create mode 100644 Output images/High learning rate.jpeg create mode 100644 Output images/Imbalanced classess.jpeg create mode 100644 Output images/Low learning rate.jpeg 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z8{5{si^R#v@5P@j4ippYW37Q0wMq}qRUWV3-oRUmrgmx1VC_zC2%pHfF?g>DndW9O zww2YVqLF!}JbY1rcu#+7vNcx#YZ@-utlGomdjQmn Date: Thu, 24 Apr 2025 10:36:32 -0800 Subject: [PATCH 03/15] Create README.md --- README.md | 56 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 56 insertions(+) create mode 100644 README.md diff --git a/README.md b/README.md new file mode 100644 index 0000000..0f21c8d --- /dev/null +++ b/README.md @@ -0,0 +1,56 @@ +# Contributors: +1. Madhusoodhan Tirunangur Girinarayanan (A20580122) - mtirunangurgirinaray@hawk.iit.edu +2. Mukund Sanjay Bharani (A20577945) - mbharani@hawk.iit.edu +3. Muthu Nageswaran Kalyani Narayanamoorthy (A20588118) - mkalyaninarayanamoor@hawk.iit.edu +4. Sabarish Raja Ramesh Raja (A20576363) - srameshraja@hawk.iit.edu + +# Introduction +This project implements Gradient Boosting Classifier using decision tree as base learners. Logistic Regression is used as regression principles for binary classification. Also, sigmoid function is used for probability estimation. +Gradient Boosting Classifier belongs to ensemble learners. It combines multiple decision trees to create a strong predictive model. +GB Classifier builds model Sequentially where new model tries to correct the errors made by previous models. This algorithm uses gradient descent to minimize the loss function by itertively improving predictions. + +# Working of Gradient Boosting Classifier +1. Initialize the model +2. Calculate the residuls(error) between true value and current predictions. +3. Train a decision tree and fit it to the residuals. This tree will learn to correct the mistakes made by the current ensemble of predictions. +4. Add prediction of the decision tree with current prediction. Scale these updates by a learning rate to control the contribution of each tree and ensure gradual learning. +5. Repeat the process of calculating residuals, training decision trees, and updating predictions for a predefined number of iterations (or until convergence). +6. At the end, combine prediction of ll decision trees to produce the finaal output. For classification, a sigmoid function is used to convert the cumulative prediction into class probabilities. + +# Hyper-parameters used for optimizing the performance: +1. n_estimators => Total number of decision trees to be used in the ensemble model/ +2. learning_rate => Controls the contribution of each tree. +3. max_depth => Limit the depth of each decision tree to prevent overfitting. +4. loss_function => calculate the residual errors. + +## Running the Code +To run the code in this project using VS Code , follow these steps: + +### 1. Set Up a Virtual Environment +Open the terminal in VS Code by navigating to View > Terminal or using the shortcut Ctrl + ` (backtick). +Create a virtual environment using Python's venv module: +``` +python -m venv venv +``` +Activate the virtual environment: +``` +venv\Scripts\activate +``` + +### 2. Run the Tests +Navigate to the test_case directory and execute the test suite using pytest. +First, navigate to the tests folder. +Then the main test script using : +``` +python GBTesting.py +``` + +## Test Output Visualizations +![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Output%20images/Basic%20functionality.jpeg?raw=true) +![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Output%20images/High%20learning%20rate.jpeg?raw=true) +![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Output%20images/Imbalanced%20classess.jpeg?raw=true) +![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Output%20images/Low%20learning%20rate.jpeg?raw=true) +![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Output%20images/Shallow%20trees.jpeg?raw=true) 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znqPp@LXJoh3kY))BfnM-EN6k~H%*Bo;>N`vk3i-X|7|3{D799%tJI}9)O4*>J$J+T ziWD--$o}yO?__ko7uySkF&K=cE_&uJ`)ynfXzX)7fd9u(QdCl2p{Tw>QO!h2Sp)x3 tRhCs$)KFB+&5zdm|NO#{qx Date: Thu, 24 Apr 2025 10:50:48 -0800 Subject: [PATCH 05/15] Update README.md --- README.md | 35 ++++++++++++++++++++++++++++++++++- 1 file changed, 34 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 0f21c8d..32990ee 100644 --- a/README.md +++ b/README.md @@ -16,7 +16,7 @@ GB Classifier builds model Sequentially where new model tries to correct the err 4. Add prediction of the decision tree with current prediction. Scale these updates by a learning rate to control the contribution of each tree and ensure gradual learning. 5. Repeat the process of calculating residuals, training decision trees, and updating predictions for a predefined number of iterations (or until convergence). 6. At the end, combine prediction of ll decision trees to produce the finaal output. For classification, a sigmoid function is used to convert the cumulative prediction into class probabilities. - +[!image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Working%20of%20gradient_boosting%20classifier.png?raw=true) # Hyper-parameters used for optimizing the performance: 1. n_estimators => Total number of decision trees to be used in the ensemble model/ 2. learning_rate => Controls the contribution of each tree. @@ -54,3 +54,36 @@ python GBTesting.py ![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Output%20images/non-linear%20boundary.jpeg?raw=true) # Quesions: +## 1. What does the model you have implemented do and when should it be used? +* The model implements a custom gradient boosting classifier for binary classification tasks. +* It uses decision trees as base learners to iteratively improve predictions. +* The model minimizes errors by focusing on residuals (differences between actual and predicted values). +* It predicts probabilities using the sigmoid function and converts them into binary class labels. +* The learning rate controls the contribution of each tree, ensuring gradual and stable learning. +* It also offers a tunable bias–variance trade-off: increasing n_estimators or max_depth reduces bias but may lead to overfitting, while decreasing learning_rate yields more conservative updates, often used in conjunction with more trees. + +## 2. How did you test your model to determine if it is working reasonably correctly? + +## 3. What parameters have you exposed to users of your implementation in order to tune performance? (Also perhaps provide some basic usage examples.) +1. n_estimators (int, default=100) +o Number of boosting rounds (i.e., number of trees to build). +o More estimators can capture complex patterns but may lead to overfitting. +o Result Impact + Increase to better fit of the data, Having Lower Bias + Decrease for faster training but may lead to underfitting +2. learning_rate (float, default=0.1) +o Shrinks the contribution of each tree. +o Lower values require more trees but can improve generalization. + Increase for faster convergence but might overfit quickly + Decrease for slower training better generalization +3. max_depth (int, default=3) +o Maximum depth of individual regression trees. +o Controls the complexity of the weak learners. + Increase leads to learning more complex relationships but might overfit + Decrease might improve the speed of training but might miss important patterns. + +## 4. Are there specific inputs that your implementation has trouble with? Given more time, could you work around these or is it fundamental? +* The implementation may struggle with very large datasets due to the inefficiency of custom decision tree splitting and recursion. +* It may have trouble with high-dimensional data because the best split calculation does not scale well with many features. +* Handling missing values is not implemented, so inputs with missing data could cause errors or incorrect splits. +* The model assumes binary classification and cannot handle multi-class problems without significant modifications. From a2bd5da70e5110106b332fb3d9a54dd5b90d47db Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 10:53:44 -0800 Subject: [PATCH 06/15] Update README.md --- README.md | 26 +++++++++++++------------- 1 file changed, 13 insertions(+), 13 deletions(-) diff --git a/README.md b/README.md index 32990ee..aeb81df 100644 --- a/README.md +++ b/README.md @@ -66,21 +66,21 @@ python GBTesting.py ## 3. What parameters have you exposed to users of your implementation in order to tune performance? (Also perhaps provide some basic usage examples.) 1. n_estimators (int, default=100) -o Number of boosting rounds (i.e., number of trees to build). -o More estimators can capture complex patterns but may lead to overfitting. -o Result Impact - Increase to better fit of the data, Having Lower Bias - Decrease for faster training but may lead to underfitting +* Number of boosting rounds (i.e., number of trees to build). +* More estimators can capture complex patterns but may lead to overfitting. +* Result Impact +- Increase to better fit of the data, Having Lower Bias +- Decrease for faster training but may lead to underfitting 2. learning_rate (float, default=0.1) -o Shrinks the contribution of each tree. -o Lower values require more trees but can improve generalization. - Increase for faster convergence but might overfit quickly - Decrease for slower training better generalization +* Shrinks the contribution of each tree. +* Lower values require more trees but can improve generalization. +- Increase for faster convergence but might overfit quickly +- Decrease for slower training better generalization 3. max_depth (int, default=3) -o Maximum depth of individual regression trees. -o Controls the complexity of the weak learners. - Increase leads to learning more complex relationships but might overfit - Decrease might improve the speed of training but might miss important patterns. +* Maximum depth of individual regression trees. +* Controls the complexity of the weak learners. +- Increase leads to learning more complex relationships but might overfit +- Decrease might improve the speed of training but might miss important patterns. ## 4. Are there specific inputs that your implementation has trouble with? Given more time, could you work around these or is it fundamental? * The implementation may struggle with very large datasets due to the inefficiency of custom decision tree splitting and recursion. From 5422a7fc7c1ab4ad5a67dfec5b18e7420ec7f19b Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 10:54:10 -0800 Subject: [PATCH 07/15] Update README.md --- README.md | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/README.md b/README.md index aeb81df..4a876af 100644 --- a/README.md +++ b/README.md @@ -69,18 +69,18 @@ python GBTesting.py * Number of boosting rounds (i.e., number of trees to build). * More estimators can capture complex patterns but may lead to overfitting. * Result Impact -- Increase to better fit of the data, Having Lower Bias -- Decrease for faster training but may lead to underfitting + - Increase to better fit of the data, Having Lower Bias + - Decrease for faster training but may lead to underfitting 2. learning_rate (float, default=0.1) * Shrinks the contribution of each tree. * Lower values require more trees but can improve generalization. -- Increase for faster convergence but might overfit quickly -- Decrease for slower training better generalization + - Increase for faster convergence but might overfit quickly + - Decrease for slower training better generalization 3. max_depth (int, default=3) * Maximum depth of individual regression trees. * Controls the complexity of the weak learners. -- Increase leads to learning more complex relationships but might overfit -- Decrease might improve the speed of training but might miss important patterns. + - Increase leads to learning more complex relationships but might overfit + - Decrease might improve the speed of training but might miss important patterns. ## 4. Are there specific inputs that your implementation has trouble with? Given more time, could you work around these or is it fundamental? * The implementation may struggle with very large datasets due to the inefficiency of custom decision tree splitting and recursion. From 91ba58feae1851684602a77a2a6bf94798ce2690 Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 10:56:44 -0800 Subject: [PATCH 08/15] Update README.md --- README.md | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/README.md b/README.md index 4a876af..6fcab66 100644 --- a/README.md +++ b/README.md @@ -66,21 +66,21 @@ python GBTesting.py ## 3. What parameters have you exposed to users of your implementation in order to tune performance? (Also perhaps provide some basic usage examples.) 1. n_estimators (int, default=100) -* Number of boosting rounds (i.e., number of trees to build). -* More estimators can capture complex patterns but may lead to overfitting. -* Result Impact - - Increase to better fit of the data, Having Lower Bias - - Decrease for faster training but may lead to underfitting + 1. Number of boosting rounds (i.e., number of trees to build). + 2. More estimators can capture complex patterns but may lead to overfitting. + 3. Result Impact + * Increase to better fit of the data, Having Lower Bias + * Decrease for faster training but may lead to underfitting 2. learning_rate (float, default=0.1) * Shrinks the contribution of each tree. * Lower values require more trees but can improve generalization. - - Increase for faster convergence but might overfit quickly - - Decrease for slower training better generalization + * Increase for faster convergence but might overfit quickly + * Decrease for slower training better generalization 3. max_depth (int, default=3) * Maximum depth of individual regression trees. * Controls the complexity of the weak learners. - - Increase leads to learning more complex relationships but might overfit - - Decrease might improve the speed of training but might miss important patterns. + * Increase leads to learning more complex relationships but might overfit + * Decrease might improve the speed of training but might miss important patterns. ## 4. Are there specific inputs that your implementation has trouble with? Given more time, could you work around these or is it fundamental? * The implementation may struggle with very large datasets due to the inefficiency of custom decision tree splitting and recursion. From 745fb291d3ef682d2f38ff5c25ea6dfa41ceaccc Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 10:58:02 -0800 Subject: [PATCH 09/15] Update README.md --- README.md | 8 +++----- 1 file changed, 3 insertions(+), 5 deletions(-) diff --git a/README.md b/README.md index 6fcab66..cdf347c 100644 --- a/README.md +++ b/README.md @@ -66,11 +66,9 @@ python GBTesting.py ## 3. What parameters have you exposed to users of your implementation in order to tune performance? (Also perhaps provide some basic usage examples.) 1. n_estimators (int, default=100) - 1. Number of boosting rounds (i.e., number of trees to build). - 2. More estimators can capture complex patterns but may lead to overfitting. - 3. Result Impact - * Increase to better fit of the data, Having Lower Bias - * Decrease for faster training but may lead to underfitting +* Number of boosting rounds (i.e., number of trees to build). +* More estimators can capture complex patterns but may lead to overfitting. +* Result Impact - * Increase to better fit of the data, Having Lower Bias * Decrease for faster training but may lead to underfitting 2. learning_rate (float, default=0.1) * Shrinks the contribution of each tree. * Lower values require more trees but can improve generalization. From b7779d2751716148d87cc5f5d49821e04b321e63 Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 10:58:23 -0800 Subject: [PATCH 10/15] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index cdf347c..ba0df88 100644 --- a/README.md +++ b/README.md @@ -16,7 +16,7 @@ GB Classifier builds model Sequentially where new model tries to correct the err 4. Add prediction of the decision tree with current prediction. Scale these updates by a learning rate to control the contribution of each tree and ensure gradual learning. 5. Repeat the process of calculating residuals, training decision trees, and updating predictions for a predefined number of iterations (or until convergence). 6. At the end, combine prediction of ll decision trees to produce the finaal output. For classification, a sigmoid function is used to convert the cumulative prediction into class probabilities. -[!image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Working%20of%20gradient_boosting%20classifier.png?raw=true) +![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Working%20of%20gradient_boosting%20classifier.png?raw=true) # Hyper-parameters used for optimizing the performance: 1. n_estimators => Total number of decision trees to be used in the ensemble model/ 2. learning_rate => Controls the contribution of each tree. From e913176fe636246c42f649be4bd31b8c7392355b Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 10:58:42 -0800 Subject: [PATCH 11/15] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index ba0df88..cc820d8 100644 --- a/README.md +++ b/README.md @@ -53,7 +53,7 @@ python GBTesting.py ![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Output%20images/Shallow%20trees.jpeg?raw=true) ![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Output%20images/non-linear%20boundary.jpeg?raw=true) -# Quesions: +# Questions: ## 1. What does the model you have implemented do and when should it be used? * The model implements a custom gradient boosting classifier for binary classification tasks. * It uses decision trees as base learners to iteratively improve predictions. From 3d41e0c6ac84c9b3fea1c910148a85a796f389e6 Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 13:27:10 -0800 Subject: [PATCH 12/15] Update README.md --- README.md | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index cc820d8..b799553 100644 --- a/README.md +++ b/README.md @@ -63,7 +63,12 @@ python GBTesting.py * It also offers a tunable bias–variance trade-off: increasing n_estimators or max_depth reduces bias but may lead to overfitting, while decreasing learning_rate yields more conservative updates, often used in conjunction with more trees. ## 2. How did you test your model to determine if it is working reasonably correctly? - +* The model was tested using a variety of synthetic datasets with different characteristics to evaluate its performance under diverse conditions. +* Accuracy of the custom implementation was compared against Scikit-learn's GradientBoostingClassifier to ensure reasonable correctness. +* The impact of high and low learning rates was evaluated to confirm the model's ability to handle different learning dynamics. +* Shallow trees (max depth of 1) were tested to assess the model's performance with weak learners. +* Noisy data with mislabeled samples was used to test robustness to imperfect or noisy inputs. +* Imbalanced class distributions were tested to evaluate how well the model handles skewed datasets. ## 3. What parameters have you exposed to users of your implementation in order to tune performance? (Also perhaps provide some basic usage examples.) 1. n_estimators (int, default=100) * Number of boosting rounds (i.e., number of trees to build). From 0cf5cc0fb87270519ed44e739ca24bb16105576a Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 13:43:51 -0800 Subject: [PATCH 13/15] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index b799553..410cb76 100644 --- a/README.md +++ b/README.md @@ -15,7 +15,7 @@ GB Classifier builds model Sequentially where new model tries to correct the err 3. Train a decision tree and fit it to the residuals. This tree will learn to correct the mistakes made by the current ensemble of predictions. 4. Add prediction of the decision tree with current prediction. Scale these updates by a learning rate to control the contribution of each tree and ensure gradual learning. 5. Repeat the process of calculating residuals, training decision trees, and updating predictions for a predefined number of iterations (or until convergence). -6. At the end, combine prediction of ll decision trees to produce the finaal output. For classification, a sigmoid function is used to convert the cumulative prediction into class probabilities. +6. At the end, combine prediction of ll decision trees to produce the final output. For classification, a sigmoid function is used to convert the cumulative prediction into class probabilities. ![image_alt](https://github.com/sabarishraja/Project-2-Gradient-Boosting-Classifier-/blob/main/Working%20of%20gradient_boosting%20classifier.png?raw=true) # Hyper-parameters used for optimizing the performance: 1. n_estimators => Total number of decision trees to be used in the ensemble model/ From 41e6c924a64b1001add83aeaed62df95dd8e3a99 Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 13:49:07 -0800 Subject: [PATCH 14/15] Update README.md --- README.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 410cb76..8bcb705 100644 --- a/README.md +++ b/README.md @@ -73,7 +73,8 @@ python GBTesting.py 1. n_estimators (int, default=100) * Number of boosting rounds (i.e., number of trees to build). * More estimators can capture complex patterns but may lead to overfitting. -* Result Impact - * Increase to better fit of the data, Having Lower Bias * Decrease for faster training but may lead to underfitting +* Increase to better fit of the data, Having Lower Bias +* Decrease for faster training but may lead to underfitting 2. learning_rate (float, default=0.1) * Shrinks the contribution of each tree. * Lower values require more trees but can improve generalization. From 55342101ad83617b99b431b3f9bdadfc6c7da8c2 Mon Sep 17 00:00:00 2001 From: "R.SABARISH RAJA" <80580833+sabarishraja@users.noreply.github.com> Date: Thu, 24 Apr 2025 14:17:11 -0800 Subject: [PATCH 15/15] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 8bcb705..4a65f91 100644 --- a/README.md +++ b/README.md @@ -89,5 +89,5 @@ python GBTesting.py ## 4. Are there specific inputs that your implementation has trouble with? Given more time, could you work around these or is it fundamental? * The implementation may struggle with very large datasets due to the inefficiency of custom decision tree splitting and recursion. * It may have trouble with high-dimensional data because the best split calculation does not scale well with many features. -* Handling missing values is not implemented, so inputs with missing data could cause errors or incorrect splits. +* The implementation is not optimized for speed, so it may perform poorly compared to highly optimized libraries like Scikit-learn. * The model assumes binary classification and cannot handle multi-class problems without significant modifications.

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