Anomaly Detection

  1. Time-Series Anomaly Detection
    1. Time-Series Characteristics and Challenges
      1. Temporal Dependencies
        1. Autocorrelation Analysis
          1. Partial Autocorrelation
            1. Cross-correlation
            2. Seasonality Patterns
              1. Seasonal Decomposition
                1. Fourier Analysis
                  1. Wavelet Analysis
                  2. Trend Analysis
                    1. Trend Removal Techniques
                    2. Non-Stationarity Issues
                      1. Unit Root Tests
                        1. Differencing Methods
                          1. Transformation Techniques
                        2. Time-Series Decomposition Methods
                          1. Classical Decomposition
                            1. Additive Models
                              1. Multiplicative Models
                                1. Trend Estimation
                                2. STL Decomposition
                                  1. Seasonal and Trend Decomposition using Loess
                                    1. Parameter Selection
                                      1. Residual Analysis
                                      2. X-13ARIMA-SEATS
                                        1. Empirical Mode Decomposition
                                        2. Forecasting-Based Anomaly Detection
                                          1. Moving Average Methods
                                            1. Simple Moving Average
                                              1. Weighted Moving Average
                                                1. Exponentially Weighted Moving Average
                                                2. Exponential Smoothing
                                                  1. Simple Exponential Smoothing
                                                    1. Double Exponential Smoothing
                                                      1. Triple Exponential Smoothing
                                                        1. Holt-Winters Method
                                                        2. ARIMA Models
                                                          1. Model Identification
                                                            1. ACF and PACF Analysis
                                                              1. Information Criteria
                                                              2. Parameter Estimation
                                                                1. Residual Analysis
                                                                  1. Forecasting and Error Calculation
                                                                  2. SARIMA Models
                                                                    1. Seasonal Components
                                                                      1. Model Selection
                                                                        1. Diagnostic Checking
                                                                        2. State Space Models
                                                                          1. Kalman Filtering
                                                                            1. Structural Time Series Models
                                                                          2. Deep Learning for Time-Series Anomalies
                                                                            1. Recurrent Neural Networks
                                                                              1. Vanilla RNNs
                                                                                1. Long Short-Term Memory
                                                                                  1. Cell State Management
                                                                                    1. Gate Mechanisms
                                                                                      1. Sequence-to-Sequence Models
                                                                                      2. Gated Recurrent Units
                                                                                        1. Simplified Architecture
                                                                                          1. Performance Comparison
                                                                                        2. Convolutional Neural Networks for Time-Series
                                                                                          1. 1D Convolutions
                                                                                            1. Temporal Convolutional Networks
                                                                                              1. Dilated Convolutions
                                                                                              2. Transformer Models
                                                                                                1. Attention Mechanisms
                                                                                                  1. Self-Attention for Time-Series
                                                                                                    1. Positional Encoding
                                                                                                    2. Hybrid Architectures
                                                                                                      1. CNN-LSTM Models
                                                                                                        1. CNN-GRU Models
                                                                                                          1. Attention-Based Models
                                                                                                        2. Change Point Detection
                                                                                                          1. Statistical Change Detection
                                                                                                            1. CUSUM Methods
                                                                                                              1. Page-Hinkley Test
                                                                                                                1. Bayesian Change Point Detection
                                                                                                                2. Model-Based Change Detection
                                                                                                                  1. Likelihood Ratio Tests
                                                                                                                    1. Information Criteria Approaches
                                                                                                                    2. Non-Parametric Methods
                                                                                                                      1. Kernel Change Detection
                                                                                                                        1. Two-Sample Tests
                                                                                                                        2. Online Change Detection
                                                                                                                          1. Sequential Analysis
                                                                                                                            1. Sliding Window Methods
                                                                                                                              1. Exponential Forgetting

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                                                                                                                          5. Machine Learning-Based Anomaly Detection

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                                                                                                                          7. Advanced Anomaly Detection Topics