Statistics

• Libraries

Data

• pandas
• Polars
  • Polars Cloud

Probability Theory

• Bayes' Theorem

Descriptive Statistics

• Dispersion
  • Variance
• Entropy

Statistical Inference

• Statistical Distances
  • Cross-entropy
• Probability Density Estimation
  • Kernel Density Estimation
• Bayesian Inference
  • Conjugate Priors
  • Maximum A Posteriori Estimation
• Probabilistic Graphical Models
  • Directed Probabilistic Graphical Models
  • Undirected Probabilistic Graphical Models
    • Conditional Random Fields
      • 使用线性条件随机场实现中文分词

Multivariate Statistics

• Random Vectors and Matrices
• Multivariate Normal Distribution

Data Preprocessing

• Data Quality
  • Missing Values
• Dimensionality Reduction
  • Principal Component Analysis
  • UV-Decomposition
  • Manifold Learning
    • Multidimensional Scaling
• Feature Engineering
  • Polynomial Feature Transform
  • Featuretools

Finding Similar Items

• Measures of Similarity and Dissimilarity
  • Binary Similarity Measures
  • Edit Distance
    • Levenshtein Distance
• Near-Neighbor Search
• Shingling of Documents
• Similarity-Preserving Summaries of Sets
• Locality-Sensitive Hashing for Documents

Clustering

• Representative-based Clustering
  • K-means Clustering
  • Expectation-Maximization Clustering
• Density-based Clustering
  • DBSCAN
• Hierarchical Clustering
  • Agglomerative Hierarchical Clustering
• Fuzzy Clustering
  • Fuzzy C-means Clustering
• Clustering Validation
  • External Measures
  • Internal Measures
  • Relative Measures

Classification

• Classification Assessment
  • Performance Measures
    • Positive and Negative Predictive Values
  • Model Evaluation
    • Model Overfitting
  • Receiver Operating Characteristic Analysis
• Probabilistic Classification
  • Bayes Classifier
• Decision Tree Classifier
  • Random Forest
• Support Vector Machine

Regression Analysis

• Linear Regression
• Logistic Regression
  • Softmax Function
  • Multinomial Logistic Regression (Python)

Link Analysis

• Web Graph
• PageRank
  • Topic-Sensitive PageRank
  • Link Spam
  • Hubs and Authorities

Association Analysis

• Itemset and Association Rule
• Itemset Mining
• Association Rule Mining
• Compact Representation of Itemsets
• Assessment
  • Objective Measures of Interestingness

Recommendation Systems

• Content-Based Recommendations
• Collaborative Filtering
  • Clustering Users and Items
• Resource
• Services