Data Science Handbook

Linearity, independence, homoscedasticity, and normality for unbiased regression

Vector notation and matrix operations for regression

Extending linear regression to multiple predictors

L1 penalty for feature selection and overfitting prevention

L2 penalty for handling multicollinearity and overfitting

Combining L1 and L2 penalties for optimal regularization

Modeling non-linear relationships with polynomial features

Extending linear regression to non-normal distributions

Binary classification using the logistic function

Flexible non-parametric regression using piecewise polynomials

Modeling count data with Poisson distribution

Multi-class classification extension of logistic regression

Decision trees with greedy splitting algorithms

Ensemble method combining multiple decision trees with bagging

Gradient boosting for improved predictive performance

Optimized gradient boosting with advanced regularization techniques

Fast gradient boosting with leaf-wise tree growth

Gradient boosting with categorical feature handling

Unsupervised anomaly detection using random trees

Unified framework for model interpretability

Local model explanations for individual predictions

Dimensionality reduction and feature extraction

Non-linear dimensionality reduction

Non-linear visualization technique

Partitioning data into k clusters using centroid-based approach

Density-based clustering for arbitrary shaped clusters

Hierarchical density-based clustering with varying density

Tree-based clustering with agglomerative or divisive methods

Classical time series forecasting with trend and seasonality

Autoregressive integrated moving average with seasonal components

Facebook's forecasting tool for business time series with holidays

Neural basis expansion analysis for interpretable time series forecasting

Neural hierarchical interpolation for time series forecasting

Constraint programming for employee scheduling and rostering

Mixed integer linear programming for production planning

Network flow optimization for resource allocation

Vehicle routing problem with time windows for logistics

Quadratic programming for portfolio optimization and risk management