1. Supervised learning

• 1.1. Generalized Linear Models
  • 1.1.1. Ordinary Least Squares
    • 1.1.1.1. Ordinary Least Squares Complexity
  • 1.1.2. Ridge Regression
    • 1.1.2.1. Ridge Complexity
    • 1.1.2.2. Setting the regularization parameter: generalized Cross-Validation
  • 1.1.3. Lasso
    • 1.1.3.1. Setting regularization parameter
      • 1.1.3.1.1. Using cross-validation
      • 1.1.3.1.2. Information-criteria based model selection
  • 1.1.4. Elastic Net
  • 1.1.5. Multi-task Lasso
  • 1.1.6. Least Angle Regression
  • 1.1.7. LARS Lasso
    • 1.1.7.1. Mathematical formulation
  • 1.1.8. Orthogonal Matching Pursuit (OMP)
  • 1.1.9. Bayesian Regression
    • 1.1.9.1. Bayesian Ridge Regression
    • 1.1.9.2. Automatic Relevance Determination - ARD
  • 1.1.10. Logistic regression
  • 1.1.11. Stochastic Gradient Descent - SGD
  • 1.1.12. Perceptron
  • 1.1.13. Passive Aggressive Algorithms
  • 1.1.14. Robustness to outliers: RANSAC
  • 1.1.15. Polynomial regression: extending linear models with basis functions
• 1.2. Support Vector Machines
  • 1.2.1. Classification
    • 1.2.1.1. Multi-class classification
    • 1.2.1.2. Scores and probabilities
    • 1.2.1.3. Unbalanced problems
  • 1.2.2. Regression
  • 1.2.3. Density estimation, novelty detection
  • 1.2.4. Complexity
  • 1.2.5. Tips on Practical Use
  • 1.2.6. Kernel functions
    • 1.2.6.1. Custom Kernels
      • 1.2.6.1.1. Using Python functions as kernels
      • 1.2.6.1.2. Using the Gram matrix
      • 1.2.6.1.3. Parameters of the RBF Kernel
  • 1.2.7. Mathematical formulation
    • 1.2.7.1. SVC
    • 1.2.7.2. NuSVC
  • 1.2.8. Implementation details
• 1.3. Stochastic Gradient Descent
  • 1.3.1. Classification
  • 1.3.2. Regression
  • 1.3.3. Stochastic Gradient Descent for sparse data
  • 1.3.4. Complexity
  • 1.3.5. Tips on Practical Use
  • 1.3.6. Mathematical formulation
    • 1.3.6.1. SGD
  • 1.3.7. Implementation details
• 1.4. Nearest Neighbors
  • 1.4.1. Unsupervised Nearest Neighbors
    • 1.4.1.1. Finding the Nearest Neighbors
    • 1.4.1.2. KDTree and BallTree Classes
  • 1.4.2. Nearest Neighbors Classification
  • 1.4.3. Nearest Neighbors Regression
  • 1.4.4. Nearest Neighbor Algorithms
    • 1.4.4.1. Brute Force
    • 1.4.4.2. K-D Tree
    • 1.4.4.3. Ball Tree
    • 1.4.4.4. Choice of Nearest Neighbors Algorithm
    • 1.4.4.5. Effect of leaf_size
  • 1.4.5. Nearest Centroid Classifier
    • 1.4.5.1. Nearest Shrunken Centroid
• 1.5. Gaussian Processes
  • 1.5.1. Examples
    • 1.5.1.1. An introductory regression example
    • 1.5.1.2. Fitting Noisy Data
  • 1.5.2. Mathematical formulation
    • 1.5.2.1. The initial assumption
    • 1.5.2.2. The best linear unbiased prediction (BLUP)
    • 1.5.2.3. The empirical best linear unbiased predictor (EBLUP)
  • 1.5.3. Correlation Models
  • 1.5.4. Regression Models
  • 1.5.5. Implementation details
• 1.6. Cross decomposition
• 1.7. Naive Bayes
  • 1.7.1. Gaussian Naive Bayes
  • 1.7.2. Multinomial Naive Bayes
  • 1.7.3. Bernoulli Naive Bayes
  • 1.7.4. Out-of-core naive Bayes model fitting
• 1.8. Decision Trees
  • 1.8.1. Classification
  • 1.8.2. Regression
  • 1.8.3. Multi-output problems
  • 1.8.4. Complexity
  • 1.8.5. Tips on practical use
  • 1.8.6. Tree algorithms: ID3, C4.5, C5.0 and CART
  • 1.8.7. Mathematical formulation
    • 1.8.7.1. Classification criteria
    • 1.8.7.2. Regression criteria
• 1.9. Ensemble methods
  • 1.9.1. Bagging meta-estimator
  • 1.9.2. Forests of randomized trees
    • 1.9.2.1. Random Forests
    • 1.9.2.2. Extremely Randomized Trees
    • 1.9.2.3. Parameters
    • 1.9.2.4. Parallelization
    • 1.9.2.5. Feature importance evaluation
    • 1.9.2.6. Totally Random Trees Embedding
  • 1.9.3. AdaBoost
    • 1.9.3.1. Usage
  • 1.9.4. Gradient Tree Boosting
    • 1.9.4.1. Classification
    • 1.9.4.2. Regression
    • 1.9.4.3. Fitting additional weak-learners
    • 1.9.4.4. Controlling the tree size
    • 1.9.4.5. Mathematical formulation
      • 1.9.4.5.1. Loss Functions
    • 1.9.4.6. Regularization
      • 1.9.4.6.1. Shrinkage
      • 1.9.4.6.2. Subsampling
    • 1.9.4.7. Interpretation
      • 1.9.4.7.1. Feature importance
      • 1.9.4.7.2. Partial dependence
• 1.10. Multiclass and multilabel algorithms
  • 1.10.1. Multilabel classification format
  • 1.10.2. One-Vs-The-Rest
    • 1.10.2.1. Multiclass learning
    • 1.10.2.2. Multilabel learning
  • 1.10.3. One-Vs-One
    • 1.10.3.1. Multiclass learning
  • 1.10.4. Error-Correcting Output-Codes
    • 1.10.4.1. Multiclass learning
• 1.11. Feature selection
  • 1.11.1. Removing features with low variance
  • 1.11.2. Univariate feature selection
  • 1.11.3. Recursive feature elimination
  • 1.11.4. L1-based feature selection
    • 1.11.4.1. Selecting non-zero coefficients
    • 1.11.4.2. Randomized sparse models
  • 1.11.5. Tree-based feature selection
  • 1.11.6. Feature selection as part of a pipeline
• 1.12. Semi-Supervised
  • 1.12.1. Label Propagation
• 1.13. Linear and quadratic discriminant analysis
  • 1.13.1. Dimensionality reduction using LDA
  • 1.13.2. Mathematical Idea
• 1.14. Isotonic regression