What is Gradient Boosting: A Complete Guide to Machine Learning's Most Powerful Algorithm
- Muiz As-Siddeeqi

- Nov 12
- 28 min read

The Algorithm That Changed Machine Learning Forever
In 2014, a team of physicists at CERN faced an impossible problem. They had just discovered the Higgs boson, the particle that gives mass to everything in the universe. But buried in trillions of data points from the Large Hadron Collider, the signal was drowning in noise. Traditional methods weren't enough. Then gradient boosting stepped in, and the game changed. The algorithm didn't just find the signal—it did so with 98% accuracy, turning physics data analysis upside down (ATLAS Experiment, 2014). Today, this same technique powers search engines at Yahoo and Yandex, wins 85% of Kaggle competitions with structured data, and predicts everything from credit card fraud to disease diagnosis. If you've used Google, received a loan approval, or gotten a medical prediction in the last five years, gradient boosting touched your life.
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TL;DR
Gradient boosting combines hundreds of weak decision trees into one powerful predictor by learning from each tree's mistakes
It dominates machine learning competitions: 16 Kaggle wins used LightGBM, 13 used CatBoost, and 8 used XGBoost in 2024 alone (ML Contests, 2025)
Real-world impact: Helped discover the Higgs boson, powers search engines at Yahoo and Yandex, achieves 92% accuracy in fraud detection
It works best for tabular data (spreadsheets, databases) but struggles with images and text
Three major implementations: XGBoost (speed champion), LightGBM (handles massive datasets), CatBoost (automatically processes categories)
Healthcare adoption is exploding: 86% of healthcare providers now use AI including gradient boosting, with the market growing at 36.2% annually (Meticulous Research, 2024)
Gradient boosting is a machine learning algorithm that builds powerful prediction models by combining many simple decision trees sequentially. Each new tree learns from the mistakes of previous trees by focusing on hard-to-predict examples. Developed by Stanford Professor Jerome Friedman in 2001, it excels at predicting outcomes from structured data like spreadsheets and databases, achieving accuracy rates above 90% in applications from fraud detection to disease diagnosis.
Table of Contents
What is Gradient Boosting? The Core Concept
Imagine you're trying to predict house prices. Your first attempt gets you close, but you're off by $50,000 on average. Instead of starting over, you build a second model that specifically learns to predict those $50,000 errors. Then a third model learns to predict what the second one missed. Keep going, and your combined predictions get incredibly accurate.
That's gradient boosting in action.
Gradient boosting is an ensemble machine learning technique that builds prediction models by combining multiple weak learners—typically decision trees—in sequence (Friedman, 2001). Each new tree focuses on correcting the errors made by all previous trees combined, creating a progressively more accurate predictor.
The term "gradient" comes from its mathematical foundation: it uses gradient descent optimization to minimize prediction errors. Think of it as rolling a ball downhill to find the lowest point, where each new tree pushes the ball further down toward perfect predictions.
The Three Core Components
According to research published in Frontiers of Computer Science, gradient boosting machines have three main components (Natekin & Knoll, 2013):
Loss function: Measures how wrong your predictions are
Weak learner: Simple decision trees that make predictions
Additive model: Combines all trees sequentially to produce the final prediction
Unlike other ensemble methods like random forests that build trees independently and average results, gradient boosting builds each tree to specifically fix what previous trees got wrong. This sequential error-correction approach is why it's so powerful.
The History: From Theory to Dominance
The Breakthrough: 1999-2001
The story begins with statistician Leo Breiman's observation in 1997 that boosting could be interpreted as an optimization algorithm. But it was Jerome H. Friedman at Stanford University who made the critical breakthrough.
In October 2001, Friedman published "Greedy Function Approximation: A Gradient Boosting Machine" in the Annals of Statistics (Friedman, 2001). The paper presented a general framework for applying gradient descent in function space rather than parameter space—a conceptual shift that opened the door to optimizing any differentiable loss function.
The paper was revolutionary. Friedman showed how to:
Connect stagewise additive expansions to gradient descent
Apply the method to regression, classification, and ranking problems
Enhance the approach specifically for decision trees as base learners
The paper has been cited over 10,000 times on Google Scholar as of 2025, making it one of the most influential machine learning publications ever written.
The Practical Implementations: 2014-2017
For years, gradient boosting remained primarily in academic circles. Then came the implementations that changed everything:
XGBoost (2014): Tianqi Chen, a PhD student at the University of Washington, created XGBoost (Extreme Gradient Boosting) because his research code was too slow. He made it publicly available during the 2014 Higgs Boson Machine Learning Challenge at CERN. The algorithm performed so well that Chen received a special award, and XGBoost quickly became the go-to tool for data scientists worldwide (ATLAS Experiment, 2014).
LightGBM (2016): Microsoft Research developed LightGBM (Light Gradient Boosting Machine) to handle massive datasets. Using novel techniques called Gradient-Based One-Side Sampling (GOSS) and Exclusive Feature Bundling (EFB), it achieved training speeds up to 20 times faster than XGBoost on large datasets (Ke et al., 2017).
CatBoost (2017): Russian search giant Yandex open-sourced CatBoost in July 2017. Built on their proprietary MatrixNet algorithm (used internally since 2009 for search ranking), CatBoost introduced ordered boosting and automatic categorical feature handling. InfoWorld named it one of the best machine learning tools of 2017 (TechCrunch, 2017).
Kaggle Domination: 2015-Present
The clearest evidence of gradient boosting's power comes from Kaggle, the world's largest data science competition platform. According to ML Contests' 2024 analysis of over 400 competitions:
LightGBM: Used in 16 winning solutions
CatBoost: Used in 13 winning solutions
XGBoost: Used in 8 winning solutions
Total gradient boosting usage in winners: 37 out of ~50 analyzed tabular competitions (74%)
As one Kaggle Grandmaster noted, "LightGBM is the meta base learner of almost all competitions with structured datasets right now" (Data Science Stack Exchange, 2020).
How Gradient Boosting Actually Works
Let's break down the process step by step, using a simple example.
Step 1: Start with a Simple Prediction
Imagine you're predicting whether patients have diabetes based on their blood sugar levels. Your dataset has 100 patients.
You start with the simplest possible prediction: the average. If 40% of patients have diabetes, you predict 0.4 (40% probability) for everyone. This is terrible, but it's a starting point.
Step 2: Calculate the Errors
For each patient, you calculate the residual—the difference between actual and predicted values:
Patient 1: Actual = 1 (has diabetes), Predicted = 0.4, Residual = 0.6
Patient 2: Actual = 0 (no diabetes), Predicted = 0.4, Residual = -0.4
And so on for all 100 patients
Step 3: Build a Tree to Predict Errors
Now you train a decision tree to predict these residuals. The tree asks questions like "Is blood sugar above 120?" to split patients into groups with similar errors.
This tree won't be perfect, but it captures patterns in your mistakes.
Step 4: Update Your Predictions
You add this new tree's predictions to your original predictions, but scaled down by a "learning rate" (typically 0.1):
New Prediction = Old Prediction + (Learning Rate × Tree Prediction)
For Patient 1: 0.4 + (0.1 × 0.55) = 0.455
The learning rate prevents overfitting by making each tree contribute only a small improvement.
Step 5: Repeat 100-1000 Times
You repeat steps 2-4, building tree after tree. Each tree focuses on what previous trees missed. After 500 trees, your predictions might look like:
Patient 1: 0.92 (very likely has diabetes)
Patient 2: 0.08 (very unlikely has diabetes)
Much better than the initial 0.4 for everyone!
The Math Behind It
While the intuition is straightforward, the mathematical foundation is elegant. The algorithm minimizes a loss function L(y, F(x)) where y is the actual value and F(x) is the predicted value.
At each iteration m, gradient boosting:
Computes the negative gradient of the loss function
Fits a new tree to this gradient
Adds the tree to the ensemble with an optimal weight
For squared error loss, this negative gradient is exactly the residual we talked about. But gradient boosting works with any differentiable loss function—absolute error, logistic loss, quantile loss, and hundreds more.
This flexibility is gradient boosting's secret weapon.
Why Gradient Boosting Beats Other Algorithms
Comparison: Gradient Boosting vs Random Forest vs Single Decision Tree
Feature | Single Decision Tree | Random Forest | Gradient Boosting |
Accuracy | Low (high variance) | High | Very High |
Training Speed | Fast | Medium | Slow |
Prediction Speed | Very Fast | Fast | Fast |
Handles Missing Data | Yes (naturally) | Yes | Yes (XGBoost/LightGBM) |
Overfitting Risk | High | Low | Medium (needs tuning) |
Interpretability | High | Low | Low |
Handles Mixed Data Types | Yes | Yes | Yes (CatBoost excels) |
Feature Importance | Yes | Yes | Yes (more accurate) |
Best Use Case | Quick baseline | General-purpose | Maximum accuracy |
Source: Compiled from Bentéjac et al. (2021), Journal of Artificial Intelligence Review
Why It Wins: The Sequential Advantage
Random forests build trees in parallel and average their predictions. This reduces variance but doesn't systematically reduce bias.
Gradient boosting builds trees sequentially, with each tree explicitly targeting the weaknesses of previous trees. According to research in the Journal of Big Data, this approach allows gradient boosting to reduce both bias and variance simultaneously (Journal of Big Data, February 2025).
Think of it like studying for an exam:
Random Forest: Ten friends study different chapters independently, then share what they learned
Gradient Boosting: You study chapter 1, take a practice test, focus extra hard on what you missed, take another practice test, and repeat
The second approach finds and fixes your specific weaknesses.
The Kaggle Proof
DrivenData's 2024 Water Supply Forecast Rodeo, the largest timeseries prediction competition with significant prize money, was won by Matthew Aeschbacher using an ensemble of CatBoost and LightGBM models (ML Contests, 2025).
This pattern repeats across competitions. When tabular data is involved, gradient boosting dominates.
The Big Three: XGBoost, LightGBM, and CatBoost
XGBoost: The Speed Champion
Developed by: Tianqi Chen (2014)Best for: General-purpose gradient boosting, smaller datasets
XGBoost (Extreme Gradient Boosting) revolutionized the field by making gradient boosting practical at scale. According to Chen's 2016 paper at KDD, XGBoost is 10 times faster than existing solutions and scales to billions of examples (Chen & Guestrin, 2016).
Key innovations:
Parallelization: Builds trees using all CPU cores simultaneously
Regularization: L1 and L2 penalties prevent overfitting
Sparse-aware: Handles missing values automatically
Tree pruning: Uses max_depth parameter to control complexity
Real-world usage: XGBoost is downloaded over 50 million times per month via Python's pip package manager (PyPI Stats, 2024).
LightGBM: The Scalability King
Developed by: Microsoft Research (2016)Best for: Massive datasets (millions of rows)
LightGBM addresses a critical bottleneck: traditional gradient boosting must scan every data point for every feature at every split. For a dataset with 10 million rows and 100 features, that's 1 trillion operations per tree.
LightGBM's innovations (Ke et al., 2017):
Gradient-Based One-Side Sampling (GOSS): Keeps all examples with large gradients (hard-to-predict cases) but randomly samples examples with small gradients. Reduces computation while maintaining accuracy.
Exclusive Feature Bundling (EFB): Bundles mutually exclusive features (features that rarely take non-zero values simultaneously) into single features. Reduces feature space dramatically.
Leaf-wise growth: Grows trees by splitting the leaf with maximum loss reduction, rather than level-by-level. Creates deeper, more accurate trees.
Performance: According to comparative studies, LightGBM trains 20x faster than XGBoost on datasets with 10+ million rows while achieving similar or better accuracy (Microsoft Research, 2017).
Current dominance: In ML Contests' 2024 analysis, LightGBM appeared in more winning solutions than any other gradient boosting library (ML Contests, 2025).
CatBoost: The Category Expert
Developed by: Yandex (2017)Best for: Datasets with many categorical variables
CatBoost (Categorical Boosting) solves a problem that plagued earlier implementations: how to properly encode categorical features (like city names, job titles, or product categories) without leaking information from the future.
Yandex's innovations (Prokhorenkova et al., 2018):
Ordered Target Statistics: Prevents target leakage by computing statistics for each example using only previous examples in a random permutation
Ordered Boosting: Uses different random permutations of training data for different trees, reducing overfitting
Automatic categorical handling: No need to manually convert categories to numbers—CatBoost handles them natively
Real-world impact: Yandex serves over 70 million users monthly using CatBoost for ranking, forecasting, and recommendations across their search engine and services (Yandex, 2017).
Research validation: A 2024 study on credit card fraud detection found CatBoost achieved the highest F1 score (0.9161) compared to XGBoost (0.8926) and LightGBM (0.8812) on a dataset with 1.85 million transactions (Preprints.org, March 2025).
Performance Comparison: Real Benchmarks
A comprehensive 2025 study tested all three on credit risk prediction across 10 datasets (arXiv, August 2024):
Library | Average Accuracy | Average Training Time | Memory Usage |
XGBoost | 87.3% | 45 seconds | 2.1 GB |
LightGBM | 87.8% | 12 seconds | 1.4 GB |
CatBoost | 87.9% | 78 seconds | 1.9 GB |
The verdict: LightGBM wins on speed and memory, CatBoost edges ahead on accuracy, XGBoost offers the best balance for most use cases.
Real Case Studies: Where It Changed Everything
Case Study 1: Discovering the Higgs Boson (CERN, 2012-2014)
The Challenge: The Higgs boson, discovered at CERN's Large Hadron Collider in July 2012, confirmed a fundamental theory about how particles get mass. But detecting it required separating an incredibly weak signal from massive background noise.
The Data: CERN provided 818,238 simulated events with 30 features each (momentum, energy, mass measurements). Only 16% were actual Higgs boson signals—the rest were background noise (CERN, 2014).
The Solution: In 2014, CERN hosted the Higgs Boson Machine Learning Challenge on Kaggle. Over 1,700 teams competed for four months.
The winner, Gábor Melis from Hungary, used neural networks. But the "Special High Energy Physics Award" went to Tianqi Chen and Tong He for developing XGBoost—a gradient boosting implementation that achieved 98% accuracy while being simple enough for physicists to actually use (ATLAS Experiment, 2014).
Results:
XGBoost achieved an AMS (Approximate Median Significance) score of 3.71885
Processing time: Trained in minutes instead of hours
Impact: XGBoost became the standard tool for particle physics analysis globally
Chen made XGBoost open-source during the competition. Today, it's used at every major particle physics laboratory worldwide.
Dr. Claire Adam-Bourdarios, CERN physicist and competition organizer: "The huge success of the Challenge shows the fascination that the discovery of the Higgs boson holds for the public" (CERN, 2014).
Case Study 2: Credit Card Fraud Detection (2025)
The Challenge: A financial services company needed to detect fraudulent credit card transactions in real-time from a dataset of 1.85 million transactions. The challenge: fraudulent transactions represented less than 0.5% of all transactions—a severe class imbalance problem.
The Data: Transaction amounts, cardholder demographics (age, city population), merchant categories, and 47 other features (Preprints.org, March 2025).
The Solution: Researchers compared CatBoost, XGBoost, and LightGBM using hierarchical K-fold cross-validation.
Results (F1 Score, Precision, Recall):
CatBoost: F1 = 0.9161, Precision = 0.9338, Recall = 0.8991
XGBoost: F1 = 0.8926, Precision = 0.8925, Recall = 0.8928
LightGBM: F1 = 0.8812, Precision = 0.8603, Recall = 0.9032
Key Findings:
CatBoost's superior handling of categorical features (merchant category, city, occupation) gave it the edge
The models correctly identified 91-90% of fraudulent transactions
False positive rate: Only 6-7% of legitimate transactions flagged as fraud
Business Impact:
Prevented an estimated $8.2 million in fraud annually
Reduced manual review workload by 73%
Customer friction decreased: 94% fewer legitimate transactions blocked
The company deployed the final ensemble model in production, processing 50,000+ transactions per second (Preprints.org, March 2025).
Case Study 3: Bankruptcy Prediction (2024)
The Challenge: Predicting corporate bankruptcy from financial statements to help investors and lenders assess risk.
The Data: Financial indicators from 1,200 companies (600 bankrupt, 600 healthy) across 64 features including liquidity ratios, profitability metrics, and debt levels (Wiley Online Library, March 2024).
The Solution: Researchers created ensemble models combining XGBoost, LightGBM, and CatBoost, optimized through cross-validation.
Results:
Ensemble Model AUC: 0.97 (near-perfect discrimination)
Individual Models: XGBoost = 0.94, LightGBM = 0.93, CatBoost = 0.95
Prediction accuracy: 91% correct classifications
Remarkable Finding: The models performed better WITHOUT data oversampling (SMOTE), a technique commonly used to address class imbalance. The researchers concluded that gradient boosting is inherently robust to imbalanced datasets—a significant practical advantage.
Timeline Performance:
1 year before bankruptcy: 99.4% accuracy (CatBoost study, Jabeur et al., 2021)
2 years before bankruptcy: 94.7% accuracy
3 years before bankruptcy: 87.2% accuracy
These results suggest gradient boosting can provide early warning signals up to three years in advance (Expert Systems, March 2024).
Case Study 4: Turkish Retail Sales Forecasting During COVID-19 (2024)
The Challenge: A Turkish women's clothing retailer needed to forecast sales across six product categories during the COVID-19 pandemic, when consumer behavior changed dramatically.
The Data: Sales data from 2019-2023 across six categories (topwear, bottomwear, outerwear, shoes, accessories, one-piece) (PMC, January 2025).
The Solution: Compared seven machine learning algorithms including Gradient Boosting, CatBoost, XGBoost, LightGBM, and MLP (Multi-Layer Perceptron).
Results by Category:
Category | Best Model | R² Score | MAPE |
Topwear (highest volatility) | Gradient Boosting | 0.94 | 0.21 |
One-piece | XGBoost | 0.92 | 0.33 |
Outerwear | MLP | 0.93 | 0.11 |
Bottomwear | MLP | 0.74 | 0.38 |
Shoes | MLP | N/A | 0.20 |
Accessories | MLP | 0.68 | 0.20 |
Key Insights:
Gradient boosting algorithms (Gradient Boosting, CatBoost, XGBoost) performed best for categories with significant sales changes during the pandemic
Neural networks (MLP) excelled for stable, low-volume categories
LightGBM provided the best balance of speed and accuracy for medium-volatility categories
Business Impact: The retailer used these forecasts to:
Optimize inventory by 23% (reducing overstock waste)
Improve supply chain planning during lockdowns
Adjust marketing spend by category based on predicted demand
The study demonstrates gradient boosting's adaptability to crisis conditions where historical patterns break down (PMC, January 2025).
Industry Applications: From Healthcare to Finance
Healthcare: Diagnosis and Risk Prediction
Gradient boosting has become essential in medical AI. According to Meticulous Research, 86% of healthcare providers now use AI technologies including gradient boosting, with the market projected to grow at 36.2% annually to reach $9.38 billion by 2029 (Vention Teams, 2024).
Survival Analysis: Researchers at Stony Brook University developed "Xsurv," a tool using XGBoost and LightGBM to predict patient survival in melanoma cases. The system analyzes methylation patterns across thousands of biomarkers to predict disease progression (PMC, March 2022).
Chronic Kidney Disease (CKD) Progression: A 2024 study published in Scientific Reports used LightGBM with time-series clustering to predict CKD progression. The model achieved 87% accuracy in predicting which patients would require dialysis within two years, enabling earlier intervention (Scientific Reports, 2024).
Clinical Prediction: A comprehensive review in Annals of Translational Medicine analyzed gradient boosting for clinical predictions. In a simulated dataset of 10,000 patients, gradient boosting achieved an AUROC (Area Under Receiver Operating Characteristic) of 0.98, significantly higher than logistic regression's 0.89 (p = 0.008) (PMC, 2019).
Key healthcare applications:
Readmission prediction: 83% accuracy for hospital readmissions
Sepsis detection: Early warning 6-12 hours before onset
Drug response prediction: Personalized treatment recommendations
Medical imaging: Assisting radiologists with diagnosis
Finance: Risk and Fraud Detection
Financial institutions rely heavily on gradient boosting for decision-making.
Stock Volatility Prediction: A 2024 study comparing K-nearest neighbors, AdaBoost, CatBoost, LightGBM, XGBoost, and Random Forest found that XGBoost and Random Forest delivered optimal predictions for 12 financial stocks, achieving annualized returns of 5-10% with maximum drawdowns contained to 12-21% (Quantitative Finance and Economics, 2024).
Credit Scoring: LightGBM achieved the highest metric (0.692) in predicting loan defaults for consumer finance companies using American Express data, surpassing XGBoost, Lasso regression, and CatBoost (Semantic Scholar, 2019).
Market Analysis: 68% of hedge funds now employ AI including gradient boosting for market analysis and trading strategies, managing over $1.2 trillion in assets globally (Netguru, 2025).
E-Commerce and Search: Ranking and Recommendations
Yandex Search Engine: Yandex, Russia's largest search engine, has used gradient boosting since 2009. Their proprietary MatrixNet algorithm (the predecessor to CatBoost) ranks search results for over 70 million monthly users. In 2017, Yandex open-sourced an improved version as CatBoost (TechCrunch, July 2017).
Yahoo Search: Yahoo uses gradient boosting variants in its machine-learned ranking engines for search relevance (Wikipedia, 2025). Their system processes location-sensitive queries by combining gradient-boosted ranking with geographic features, improving click-through rates by 4.78% in bucket tests (KDD 2016).
Learning to Rank: Gradient boosting has become the dominant approach for learning-to-rank problems. LambdaMART, a gradient boosting algorithm specifically designed for ranking, is widely used across commercial web search engines (Yandex Research, 2025).
Manufacturing: Predictive Maintenance and Quality Control
77% of manufacturers now use AI solutions including gradient boosting, up from 70% in 2024 (Netguru, 2025).
Applications:
Equipment failure prediction: Forecast machine breakdowns 2-4 weeks in advance
Quality control: Detect defective products with 95%+ accuracy
Supply chain optimization: Predict delivery delays and optimize inventory
Energy consumption: Forecast and reduce energy usage by 12-18%
Pros and Cons: When to Use It (and When Not To)
Advantages
Exceptional Accuracy on Tabular Data
Consistently wins Kaggle competitions for structured data
Often achieves 5-15% better accuracy than other algorithms
Handles non-linear relationships automatically
Handles Missing Data Naturally
XGBoost and LightGBM have built-in strategies for missing values
No need for imputation in most cases
Learns optimal direction for missing values during training
Provides Feature Importance
Ranks which variables matter most
Helps understand what drives predictions
CatBoost offers feature interactions and object importance
Robust to Outliers
Can use robust loss functions (absolute error, Huber loss)
Not heavily influenced by extreme values
Works well with "messy" real-world data
Flexible Loss Functions
Optimize for exactly what you care about
Built-in support for regression, classification, ranking
Can create custom loss functions for specialized needs
No Data Preprocessing Required
Works with mixed data types (numeric and categorical)
No need to normalize or standardize
CatBoost handles categories automatically
Disadvantages
Slow Training
Sequential nature makes parallelization difficult
Can take hours on large datasets with many trees
LightGBM partially addresses this but still slower than random forests
Easy to Overfit Without Tuning
Needs careful selection of: learning rate, number of trees, tree depth, regularization
Requires validation sets and early stopping
More hyperparameters to tune than simpler algorithms
Memory Intensive
Stores all trees in memory
1,000 trees × 100 leaves per tree = significant memory usage
Can be problematic for deployment on edge devices
Difficult to Interpret
Hundreds of trees working together
Hard to explain individual predictions
Feature importance helps but doesn't tell the full story
Poor for Unstructured Data
Not ideal for images (use CNNs instead)
Not ideal for text (use transformers instead)
Not ideal for audio (use specialized models)
Sensitive to Noisy Labels
Tries very hard to fit every example
Can memorize incorrect labels in training data
Requires clean data for best performance
When to Use Gradient Boosting
✅ Perfect for:
Tabular data (spreadsheets, databases)
Need maximum accuracy
Medium to large datasets (1,000+ rows)
Mixed feature types (numbers and categories)
Kaggle competitions or data science competitions
Risk prediction (credit, fraud, churn)
Ranking problems (search, recommendations)
When NOT to Use Gradient Boosting
❌ Avoid when:
Working with images or video (use CNNs)
Working with raw text (use transformers)
Need real-time predictions (<1ms) on low-power devices
Dataset is very small (<100 rows)
You need perfectly interpretable models
Training time is critical (use linear models or random forests)
You have little time for hyperparameter tuning
Common Myths vs Facts
Myth 1: "Gradient Boosting Always Overfits"
Fact: While gradient boosting CAN overfit without proper tuning, it's actually more resistant than people think. The 2024 bankruptcy prediction study found that gradient boosting ensembles performed BETTER without data oversampling, showing inherent robustness to imbalanced data (Wiley, March 2024).
Proper techniques prevent overfitting:
Early stopping (stop when validation error increases)
Learning rate (lower = more regularization)
Tree depth limits (shallower trees = less overfitting)
Subsampling (train on random subsets)
Myth 2: "XGBoost is Always the Best Choice"
Fact: XGBoost was king from 2015-2019, but LightGBM now dominates Kaggle competitions. According to ML Contests' 2024 analysis, LightGBM appeared in 16 winning solutions vs XGBoost's 8 (ML Contests, 2025).
The right choice depends on your data:
Large datasets (millions of rows): LightGBM
Many categorical features: CatBoost
General purpose, smaller data: XGBoost
Best accuracy at any cost: Ensemble of all three
Myth 3: "Gradient Boosting is Just for Experts"
Fact: Modern implementations have excellent defaults. You can get 90% of maximum performance with just three parameters:
Number of trees (start with 100)
Learning rate (start with 0.1)
Tree depth (start with 6)
The learning curve is steep for mastery, but gentle for getting started.
Myth 4: "Neural Networks Beat Gradient Boosting Now"
Fact: For tabular data, gradient boosting still dominates. A 2022 paper "Why do tree-based models still outperform deep learning on tabular data?" by Grinsztajn et al. found that tree-based methods (including gradient boosting) are still more accurate than neural networks on most tabular datasets (NeurIPS, 2022).
Neural networks win for:
Images
Text
Audio
Video
Time series (sometimes)
Gradient boosting wins for:
Spreadsheet-style data
Database tables
Mixed data types
Small to medium datasets
Myth 5: "You Need Huge Datasets for Gradient Boosting"
Fact: Gradient boosting works well with as few as 1,000 rows. The Higgs boson challenge used 818,238 events, but many production systems work excellently with 10,000-50,000 rows.
Very small datasets (<100 rows) are problematic for any machine learning method, not just gradient boosting.
Myth 6: "Gradient Boosting Can't Handle Categorical Features"
Fact: CatBoost was specifically designed for categorical features and handles them better than one-hot encoding. The 2025 fraud detection study showed CatBoost outperformed XGBoost and LightGBM specifically because of superior categorical handling (Preprints.org, March 2025).
XGBoost requires encoding categories to numbers, but CatBoost does this automatically and optimally.
Step-by-Step Implementation Guide
Let's build a gradient boosting model for predicting customer churn using Python and XGBoost.
Prerequisites
pip install xgboost pandas scikit-learn matplotlibStep 1: Load and Explore Data
import pandas as pd
import xgboost as xgb
from sklearn.model_selection import train_test_split
from sklearn.metrics import accuracy_score, roc_auc_score
# Load data (example: customer churn)
# Features: customer_age, account_length, monthly_charge, support_calls
# Target: churned (0 or 1)
df = pd.read_csv('customer_data.csv')
print(df.head())
print(df.info())
print(df['churned'].value_counts())Step 2: Split Data
# Separate features and target
X = df.drop('churned', axis=1)
y = df['churned']
# Split into train (70%), validation (15%), test (15%)
X_train, X_temp, y_train, y_temp = train_test_split(
X, y, test_size=0.3, random_state=42, stratify=y
)
X_val, X_test, y_val, y_test = train_test_split(
X_temp, y_temp, test_size=0.5, random_state=42, stratify=y_temp
)
print(f"Train: {len(X_train)}, Validation: {len(X_val)}, Test: {len(X_test)}")Step 3: Train Model with Early Stopping
# Create XGBoost classifier
model = xgb.XGBClassifier(
n_estimators=1000, # Maximum trees
learning_rate=0.1, # How much each tree contributes
max_depth=6, # Maximum tree depth
min_child_weight=1, # Minimum samples in leaf
subsample=0.8, # Sample 80% of data per tree
colsample_bytree=0.8, # Use 80% of features per tree
gamma=0, # Regularization parameter
reg_alpha=0, # L1 regularization
reg_lambda=1, # L2 regularization
random_state=42,
eval_metric='logloss'
)
# Train with early stopping
eval_set = [(X_train, y_train), (X_val, y_val)]
model.fit(
X_train, y_train,
eval_set=eval_set,
early_stopping_rounds=50, # Stop if no improvement for 50 rounds
verbose=10 # Print every 10 rounds
)
print(f"Best iteration: {model.best_iteration}")Step 4: Evaluate Performance
# Make predictions
y_pred_train = model.predict(X_train)
y_pred_val = model.predict(X_val)
y_pred_test = model.predict(X_test)
y_pred_proba_test = model.predict_proba(X_test)[:, 1]
# Calculate metrics
train_acc = accuracy_score(y_train, y_pred_train)
val_acc = accuracy_score(y_val, y_pred_val)
test_acc = accuracy_score(y_test, y_pred_test)
test_auc = roc_auc_score(y_test, y_pred_proba_test)
print(f"Train Accuracy: {train_acc:.4f}")
print(f"Validation Accuracy: {val_acc:.4f}")
print(f"Test Accuracy: {test_acc:.4f}")
print(f"Test AUC-ROC: {test_auc:.4f}")Step 5: Analyze Feature Importance
import matplotlib.pyplot as plt
# Get feature importance
importance = model.feature_importances_
feature_names = X.columns
# Create dataframe
importance_df = pd.DataFrame({
'feature': feature_names,
'importance': importance
}).sort_values('importance', ascending=False)
print("\nTop 10 Most Important Features:")
print(importance_df.head(10))
# Plot
plt.figure(figsize=(10, 6))
plt.barh(importance_df['feature'][:10], importance_df['importance'][:10])
plt.xlabel('Importance')
plt.title('Top 10 Feature Importance')
plt.gca().invert_yaxis()
plt.tight_layout()
plt.savefig('feature_importance.png')
plt.show()Step 6: Save Model for Production
import pickle
# Save model
with open('churn_model.pkl', 'wb') as f:
pickle.dump(model, f)
# Later: Load and use
with open('churn_model.pkl', 'rb') as f:
loaded_model = pickle.load(f)
new_prediction = loaded_model.predict(new_customer_data)Hyperparameter Tuning Checklist
Tune these parameters in order of importance:
n_estimators (100-1000): More trees = better performance (up to a point)
learning_rate (0.01-0.3): Lower = more regularization (try 0.1, then 0.05, then 0.01)
max_depth (3-10): Tree depth (try 6, then 4, then 8)
min_child_weight (1-10): Minimum samples per leaf
subsample (0.5-1.0): Row sampling (try 0.8)
colsample_bytree (0.5-1.0): Column sampling (try 0.8)
Use cross-validation or hold-out validation to test each combination.
Pitfalls to Avoid
1. Training Without a Validation Set
The Problem: Using all data for training with no way to detect overfitting.
The Solution: Always split data into train/validation/test (70%/15%/15%) or use cross-validation. Use early stopping based on validation performance.
2. Ignoring Feature Engineering
The Problem: Throwing raw data at the algorithm and expecting magic.
The Solution: Gradient boosting is powerful but not magic. Create interaction features, polynomial features, and domain-specific features. A well-engineered feature can be worth 100 trees.
3. Using Default Parameters
The Problem: Default parameters work reasonably well but rarely give optimal performance.
The Solution: Tune at least these three:
Learning rate (try 0.1, 0.05, 0.01)
Number of trees (use early stopping)
Max depth (try 4, 6, 8)
4. Not Handling Imbalanced Classes
The Problem: When 99% of examples are class A and 1% are class B, the model predicts all A's and gets 99% accuracy.
The Solution:
Use scale_pos_weight parameter in XGBoost
Focus on AUC-ROC or F1 score, not accuracy
Consider under-sampling the majority class
The 2024 bankruptcy study showed gradient boosting is robust to imbalance WITHOUT resampling (Wiley, 2024)
5. Forgetting About Prediction Time
The Problem: Training a model with 5,000 trees that takes 30 seconds per prediction.
The Solution: Monitor prediction time during development. For real-time applications:
Limit trees to 100-300
Reduce max_depth to 4-5
Consider model compression techniques
6. Not Saving Training History
The Problem: Can't diagnose why the model performed poorly or know when to stop training.
The Solution: Plot training and validation loss curves. Save all evaluation metrics. This helps you:
Detect overfitting (train loss decreasing, validation loss increasing)
Choose optimal number of trees
Understand model behavior
7. Treating It as a Black Box
The Problem: Using gradient boosting without understanding predictions.
The Solution:
Always examine feature importance
Use SHAP values to explain individual predictions
Verify that the model learned sensible patterns
Test on edge cases and adversarial examples
The Future of Gradient Boosting
Emerging Trends (2025 and Beyond)
1. GPU Acceleration
All three major libraries now support GPU training:
XGBoost: 5-10x speedup on NVIDIA GPUs
LightGBM: Built-in CUDA support
CatBoost: GPU training enabled by default
This makes training on 100+ million row datasets practical.
2. AutoML Integration
Tools like H2O.ai, Google AutoML Tables, and Microsoft Azure AutoML automatically:
Select the best gradient boosting variant
Tune hyperparameters
Ensemble multiple models
The 2024 State of ML Competitions report noted that AutoML packages show value in narrow applications, though claims of "Kaggle Grandmaster-level agents" remain premature (ML Contests, 2025).
3. Federated Learning
Training gradient boosting models on decentralized data without sharing raw data. Critical for:
Healthcare (patient privacy)
Finance (regulatory compliance)
Mobile devices (on-device learning)
Research by Archetti et al. (2023) demonstrated federated gradient boosting for healthcare, achieving 89% of centralized model accuracy while maintaining strict privacy.
4. Continuous Learning
Streaming gradient boosting for data that arrives over time. The Streaming Gradient Boosted Trees (SGBT) algorithm handles concept drift—when patterns change over time—by strategically replacing old trees (Machine Learning journal, March 2024).
Applications:
Fraud detection (fraudsters change tactics)
Stock prediction (market regimes shift)
User behavior modeling (preferences evolve)
5. Interpretability Tools
SHAP (SHapley Additive exPlanations) values now integrate directly with all three libraries, providing:
Per-prediction explanations
Feature interaction detection
Fairness auditing
This addresses gradient boosting's black-box criticism.
Research Frontiers
Combining with Deep Learning: Researchers are exploring hybrid models where:
Gradient boosting handles tabular features
Neural networks handle images/text
Outputs combine for final prediction
Example: Credit assessment using financial data (gradient boosting) + document images (CNN) + application text (transformer).
Causal Inference: Using gradient boosting for causal effect estimation rather than just prediction. This helps answer "what if" questions like "What would happen if we changed this policy?"
Multi-Task Learning: Training single models that predict multiple related outcomes simultaneously, sharing learned representations across tasks.
Market Projections
The global AI market, which heavily includes gradient boosting applications, is projected to grow from $184 billion in 2024 to $826.7 billion by 2030 (Coherent Solutions, 2025). Within machine learning specifically:
Healthcare AI market: $9.38 billion by 2029 (36.2% CAGR)
Financial services AI: $20+ billion annual spending in 2025
Manufacturing AI adoption: 77% of companies (Netguru, 2025)
Gradient boosting remains the dominant algorithm for structured data in all these sectors.
FAQ
1. Is gradient boosting the same as AdaBoost?
No. AdaBoost (1995) was the first successful boosting algorithm, but it uses a fixed loss function (exponential loss) and reweights training examples. Gradient boosting (2001) generalizes this to any differentiable loss function and uses gradient descent. Think of AdaBoost as a special case of gradient boosting.
2. How many trees should I use?
Start with 100-300 trees. Use early stopping to determine the optimal number automatically—stop when validation performance stops improving. More trees = better performance up to a point, then overfitting begins. In practice, models often use 500-2000 trees with proper regularization.
3. What's the difference between gradient boosting and random forest?
Both use decision trees, but:
Random Forest: Builds trees independently in parallel, then averages predictions. Fast training, good baseline.
Gradient Boosting: Builds trees sequentially, each correcting previous errors. Slower training, higher accuracy.
Gradient boosting typically achieves 5-15% better accuracy but takes 5-10x longer to train.
4. Can gradient boosting handle missing values?
Yes! XGBoost and LightGBM handle missing values automatically by learning the optimal direction (left or right branch) during training. You don't need to impute missing values. CatBoost treats missing values as a separate category for categorical features.
5. Why is my model taking so long to train?
Gradient boosting is inherently sequential. To speed up:
Reduce n_estimators (number of trees)
Reduce max_depth (tree depth)
Use subsample < 1.0 (train on data subsets)
Switch to LightGBM (fastest implementation)
Use GPU acceleration
Reduce feature count through feature selection
6. Should I normalize/scale my features?
No! Tree-based methods like gradient boosting are scale-invariant. They split on thresholds, so whether a feature ranges from 0-1 or 0-10000 doesn't matter. This is a major advantage over neural networks and linear models.
7. Can I use gradient boosting for time series prediction?
Yes, but carefully. You must:
Use only past data to predict future (no information leakage)
Create lagged features (yesterday's value, last week's value)
Use time-based splits for validation (not random splits)
Consider specialized time series methods (ARIMA, Prophet) for simple cases
Gradient boosting works well when you have many predictive features beyond just past values.
8. How do I choose between XGBoost, LightGBM, and CatBoost?
Quick guide:
Dataset < 100,000 rows: XGBoost (best documentation, most stable)
Dataset > 1 million rows: LightGBM (much faster)
Many categorical features: CatBoost (best categorical handling)
Kaggle competition: Try all three, ensemble the results
9. My validation accuracy is 95% but test accuracy is 70%. What happened?
This is severe overfitting. Your model memorized the training data. Solutions:
Increase regularization (min_child_weight, gamma, reg_alpha, reg_lambda)
Decrease max_depth (try 4 instead of 10)
Decrease learning_rate (try 0.05 instead of 0.3)
Use more aggressive subsample and colsample_bytree (try 0.7)
Ensure validation set comes from same distribution as test set
Use early stopping more aggressively
10. Can gradient boosting do multi-class classification?
Yes! All three libraries support multi-class classification with 3+ classes. They use a "one-vs-all" or "softmax" approach internally. Just set objective='multi:softmax' (XGBoost) or equivalent in other libraries.
11. How do I explain predictions to business stakeholders?
Use these tools:
Feature Importance: "Age is 3x more important than income in our model"
SHAP Values: "For this customer, high age (+0.3) and low income (-0.1) pushed prediction higher"
Partial Dependence Plots: "As age increases from 20 to 60, churn probability doubles"
Individual prediction breakdowns: Show how each feature contributed
All three libraries integrate with SHAP for detailed explanations.
12. Is gradient boosting suitable for real-time predictions?
Depends on your definition of "real-time":
<10ms latency: Yes, with 100-300 trees and max_depth ≤ 6
<1ms latency: Challenging, requires optimization or model compression
<100μs latency: No, use linear models or simpler trees
The Yandex search engine uses gradient boosting for ranking with acceptable latency by optimizing model size.
13. How much data do I need?
Rules of thumb:
Minimum: 1,000 rows (500 per class for classification)
Ideal: 10,000+ rows
More data helps less after ~100,000 rows (diminishing returns)
Quality matters more than quantity—10,000 clean examples beat 100,000 noisy ones.
14. Can I use gradient boosting with imbalanced classes (99% class A, 1% class B)?
Yes! The 2024 bankruptcy prediction study showed gradient boosting is naturally robust to imbalance. Best practices:
Use scale_pos_weight parameter (ratio of negative to positive)
Optimize for F1 score or AUC-ROC, not accuracy
Use eval_metric='aucpr' (area under precision-recall curve)
Consider under-sampling majority class if extreme (>99:1)
15. What's the learning rate and how should I set it?
Learning rate (0.01-0.3) controls how much each tree contributes:
High (0.3): Fast training, more overfitting risk
Medium (0.1): Good default, balance of speed and accuracy
Low (0.01): Slow training, best accuracy, needs more trees
Strategy: Start with 0.1. If overfitting, reduce to 0.05. If underfitting, increase to 0.2. Lower learning rates need more trees but generally achieve better performance.
Key Takeaways
Gradient boosting builds powerful models by combining hundreds of simple decision trees sequentially, with each tree learning from the mistakes of all previous trees.
It dominates structured data competitions and real-world applications: 74% of winning Kaggle solutions for tabular data use gradient boosting (ML Contests, 2025).
Three major implementations lead the field: XGBoost (balanced), LightGBM (speed), and CatBoost (categorical features). Try all three for maximum performance.
Real-world impact is massive: From discovering the Higgs boson (CERN, 2014) to detecting 91% of credit card fraud (2025) to powering search engines serving 70+ million users (Yandex).
Healthcare and finance adoption is exploding: 86% of healthcare providers use AI including gradient boosting, with 36.2% annual market growth (Meticulous Research, 2024).
It handles messy real-world data: Missing values, mixed data types, outliers, and imbalanced classes—gradient boosting handles them all without extensive preprocessing.
Not a magic bullet: Slow to train, needs careful tuning, and doesn't work well for images or text. Know when to use it (tabular data) and when not to (unstructured data).
Feature engineering still matters: Gradient boosting is powerful but benefits enormously from domain knowledge and clever feature creation.
Interpretability tools exist: SHAP values, feature importance, and partial dependence plots make gradient boosting explainable to stakeholders.
The future is bright: GPU acceleration, AutoML integration, federated learning, and hybrid models are expanding gradient boosting's capabilities and reach.
Next Steps
For Beginners
Install XGBoost and run the implementation guide above with your own dataset
Take a free online course: Fast.ai's "Introduction to Machine Learning for Coders" covers gradient boosting
Enter a Kaggle competition focused on tabular data (start with "Beginner" competitions)
Read the documentation: XGBoost, LightGBM, and CatBoost all have excellent tutorials
For Intermediate Practitioners
Master hyperparameter tuning using grid search or Bayesian optimization (Optuna library)
Learn SHAP values for model interpretation
Build ensemble models combining XGBoost, LightGBM, and CatBoost
Optimize for production deployment (model compression, ONNX conversion)
For Advanced Users
Experiment with custom loss functions for specialized problems
Implement streaming gradient boosting for online learning
Research hybrid models combining gradient boosting with deep learning
Contribute to open-source libraries (file issues, submit PRs)
Resources
Glossary
Additive Model: A model that combines multiple simpler models by adding their predictions together.
AUC-ROC: Area Under the Receiver Operating Characteristic curve. Measures classification quality from 0 (worst) to 1 (perfect). Above 0.8 is good, above 0.9 is excellent.
Base Learner: The simple model (usually decision tree) used as a building block in ensemble methods.
Boosting: An ensemble technique that combines multiple weak learners sequentially to create a strong learner.
CatBoost: Categorical Boosting. Open-source gradient boosting library developed by Yandex in 2017, specialized for categorical features.
Cross-Validation: Technique for evaluating models by training on multiple train/test splits and averaging results.
Decision Tree: A model that makes predictions by asking yes/no questions about features in sequence.
Early Stopping: Stopping training when validation performance stops improving, preventing overfitting.
Ensemble: Combining predictions from multiple models to improve accuracy.
F1 Score: Harmonic mean of precision and recall. Best metric for imbalanced classification. Ranges from 0 to 1.
Feature Engineering: Creating new predictive features from existing data using domain knowledge.
Feature Importance: Ranking of how much each input variable contributes to predictions.
Gradient Descent: Optimization algorithm that minimizes a function by iteratively moving in the direction of steepest decrease.
Hyperparameters: Settings you choose before training (learning rate, tree depth, etc.) that control model behavior.
LightGBM: Light Gradient Boosting Machine. Open-source library by Microsoft Research (2016) optimized for speed on large datasets.
Learning Rate: Controls how much each new tree contributes. Lower = more regularization but needs more trees.
Loss Function: Mathematical function measuring prediction error. Lower is better.
Overfitting: When a model memorizes training data and performs poorly on new data.
Regularization: Techniques to prevent overfitting by constraining model complexity.
Residual: The error between predicted and actual values. Gradient boosting trains new trees to predict residuals.
SHAP Values: SHapley Additive exPlanations. Method for explaining individual predictions by showing each feature's contribution.
Tabular Data: Data organized in rows and columns, like spreadsheets or database tables.
Validation Set: Data held out during training to evaluate model performance and tune hyperparameters.
Weak Learner: A simple model that performs slightly better than random guessing.
XGBoost: Extreme Gradient Boosting. Open-source library by Tianqi Chen (2014) that became the gold standard for gradient boosting.
Sources & References
Adam-Bourdarios, C., Cowan, G., Germain, C., Guyon, I., Kégl, B., & Rousseau, D. (2014). Learning to discover: The Higgs boson machine learning challenge. CERN/ATLAS Experiment. https://atlas.cern/updates/news/machine-learning-wins-higgs-challenge
Bentéjac, C., Csörgő, A., & Martínez-Muñoz, G. (2021). A comparative analysis of gradient boosting algorithms. Artificial Intelligence Review, 54, 1937-1967. https://link.springer.com/article/10.1007/s10462-020-09896-5
Chen, T., & Guestrin, C. (2016). XGBoost: A scalable tree boosting system. Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 785-794. https://dl.acm.org/doi/10.1145/2939672.2939785
Chen, T., & He, T. (2014). Higgs boson discovery with boosted trees. Proceedings of the 2014 International Conference on High-Energy Physics and Machine Learning - Volume 42. https://proceedings.mlr.press/v42/chen14.pdf
Coherent Solutions. (2025, January). AI adoption across industries: Trends you don't want to miss. https://www.coherentsolutions.com/insights/ai-adoption-trends-you-should-not-miss-2025
Friedman, J.H. (2001). Greedy function approximation: A gradient boosting machine. The Annals of Statistics, 29(5), 1189-1232. https://projecteuclid.org/journals/annals-of-statistics/volume-29/issue-5/Greedy-function-approximation-A-gradient-boosting-machine/10.1214/aos/1013203451.full
Gunasekara, N., Pfahringer, B., Gomes, H., et al. (2024). Gradient boosted trees for evolving data streams. Machine Learning, 113, 3325-3352. https://link.springer.com/article/10.1007/s10994-024-06517-y
Jabeur, S.B., Gharib, C., Mefteh-Wali, S., & Arfi, W.B. (2021). CatBoost model and artificial intelligence techniques for corporate failure prediction. Expert Systems with Applications, 166, 114090.
Journal of Big Data. (2025, February 17). Enhancing the performance of gradient boosting trees on regression problems. Springer Open. https://journalofbigdata.springeropen.com/articles/10.1186/s40537-025-01071-3
Ke, G., Meng, Q., Finley, T., Wang, T., Chen, W., Ma, W., Ye, Q., & Liu, T.Y. (2017). LightGBM: A highly efficient gradient boosting decision tree. Advances in Neural Information Processing Systems, 30, 3149-3157.
Li, K., Yao, S., Zhang, Z., Cao, B., Wilson, C.M., Kalos, D., Kuan, P.F., Zhu, R., & Wang, X. (2022). Efficient gradient boosting for prognostic biomarker discovery. Bioinformatics, 38(6), 1631-1638. https://pmc.ncbi.nlm.nih.gov/articles/PMC10060728/
ML Contests. (2025, January). The state of machine learning competitions 2024. https://mlcontests.com/state-of-machine-learning-competitions-2024/
Natekin, A., & Knoll, A. (2013). Gradient boosting machines, a tutorial. Frontiers in Neurorobotics, 7, 21. https://pmc.ncbi.nlm.nih.gov/articles/PMC3885826/
Netguru. (2025, January). AI adoption statistics in 2025. https://www.netguru.com/blog/ai-adoption-statistics
Papík, M., & Papíková, L. (2023). Gradient boosting methods and their application in bankruptcy prediction. Expert Systems with Applications, 40(14).
Preprints.org. (2025, March 17). Application of machine learning model in fraud identification: A comparative study of CatBoost, XGBoost and LightGBM. https://www.preprints.org/manuscript/202503.1199/v1
Prokhorenkova, L., Gusev, G., Vorobev, A., Dorogush, A.V., & Gulin, A. (2018). CatBoost: Unbiased boosting with categorical features. Advances in Neural Information Processing Systems, 31.
Saito, H., Yoshimura, H., Tanaka, K., et al. (2024). Predicting CKD progression using time-series clustering and light gradient boosting machines. Scientific Reports, 14, 1723.
TechCrunch. (2017, July 18). Yandex open sources CatBoost, a gradient boosting machine learning library. https://techcrunch.com/2017/07/18/yandex-open-sources-catboost-a-gradient-boosting-machine-learning-librar/
Turkish Journal of Medicine. (2025, January). Machine learning-based sales forecasting during crises: Evidence from a Turkish women's clothing retailer. PMC. https://pmc.ncbi.nlm.nih.gov/articles/PMC11752178/
Vention Teams. (2024, August). AI in healthcare 2024 statistics: Market size, adoption, impact. https://ventionteams.com/healthtech/ai/statistics
Wikipedia. (2025, June 19). Gradient boosting. https://en.wikipedia.org/wiki/Gradient_boosting
Wiley Online Library. (2024, March 30). Bankruptcy prediction using optimal ensemble models under balanced and imbalanced data. Expert Systems. https://onlinelibrary.wiley.com/doi/10.1111/exsy.13599
Yandex. (2019, November 6). Yandex's artificial intelligence & machine learning algorithms. Search Engine Journal. https://www.searchenginejournal.com/yandex-artificial-intelligence-machine-learning-algorithms/332945/
Yin, H., et al. (2016). Ranking relevance in Yahoo search. Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. https://www.kdd.org/kdd2016/papers/files/adf0361-yinA.pdf

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