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gh-k-dense-ai-claude-scient…/skills/aeon/references/regression.md
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# Time Series Regression
Aeon provides time series regressors across 9 categories for predicting continuous values from temporal sequences.
## Convolution-Based Regressors
Apply convolutional kernels for feature extraction:
- `HydraRegressor` - Multi-resolution dilated convolutions
- `RocketRegressor` - Random convolutional kernels
- `MiniRocketRegressor` - Simplified ROCKET for speed
- `MultiRocketRegressor` - Combined ROCKET variants
- `MultiRocketHydraRegressor` - Merges ROCKET and Hydra approaches
**Use when**: Need fast regression with strong baseline performance.
## Deep Learning Regressors
Neural architectures for end-to-end temporal regression:
- `FCNRegressor` - Fully convolutional network
- `ResNetRegressor` - Residual blocks with skip connections
- `InceptionTimeRegressor` - Multi-scale inception modules
- `TimeCNNRegressor` - Standard CNN architecture
- `RecurrentRegressor` - RNN/LSTM/GRU variants
- `MLPRegressor` - Multi-layer perceptron
- `EncoderRegressor` - Generic encoder wrapper
- `LITERegressor` - Lightweight inception time ensemble
- `DisjointCNNRegressor` - Specialized CNN architecture
**Use when**: Large datasets, complex patterns, or need feature learning.
## Distance-Based Regressors
k-nearest neighbors with temporal distance metrics:
- `KNeighborsTimeSeriesRegressor` - k-NN with DTW, LCSS, ERP, or other distances
**Use when**: Small datasets, local similarity patterns, or interpretable predictions.
## Feature-Based Regressors
Extract statistical features before regression:
- `Catch22Regressor` - 22 canonical time-series characteristics
- `FreshPRINCERegressor` - Pipeline combining multiple feature extractors
- `SummaryRegressor` - Summary statistics features
- `TSFreshRegressor` - Automated tsfresh feature extraction
**Use when**: Need interpretable features or domain-specific feature engineering.
## Hybrid Regressors
Combine multiple approaches:
- `RISTRegressor` - Randomized Interval-Shapelet Transformation
**Use when**: Benefit from combining interval and shapelet methods.
## Interval-Based Regressors
Extract features from time intervals:
- `CanonicalIntervalForestRegressor` - Random intervals with decision trees
- `DrCIFRegressor` - Diverse Representation CIF
- `TimeSeriesForestRegressor` - Random interval ensemble
- `RandomIntervalRegressor` - Simple interval-based approach
- `RandomIntervalSpectralEnsembleRegressor` - Spectral interval features
- `QUANTRegressor` - Quantile-based interval features
**Use when**: Predictive patterns occur in specific time windows.
## Shapelet-Based Regressors
Use discriminative subsequences for prediction:
- `RDSTRegressor` - Random Dilated Shapelet Transform
**Use when**: Need phase-invariant discriminative patterns.
## Composition Tools
Build custom regression pipelines:
- `RegressorPipeline` - Chain transformers with regressors
- `RegressorEnsemble` - Weighted ensemble with learnable weights
- `SklearnRegressorWrapper` - Adapt sklearn regressors for time series
## Utilities
- `DummyRegressor` - Baseline strategies (mean, median)
- `BaseRegressor` - Abstract base for custom regressors
- `BaseDeepRegressor` - Base for deep learning regressors
## Quick Start
```python
from aeon.regression.convolution_based import RocketRegressor
from aeon.datasets import load_regression
# Load data
X_train, y_train = load_regression("Covid3Month", split="train")
X_test, y_test = load_regression("Covid3Month", split="test")
# Train and predict
reg = RocketRegressor()
reg.fit(X_train, y_train)
predictions = reg.predict(X_test)
```
## Algorithm Selection
- **Speed priority**: MiniRocketRegressor
- **Accuracy priority**: InceptionTimeRegressor, MultiRocketHydraRegressor
- **Interpretability**: Catch22Regressor, SummaryRegressor
- **Small data**: KNeighborsTimeSeriesRegressor
- **Large data**: Deep learning regressors, ROCKET variants
- **Interval patterns**: DrCIFRegressor, CanonicalIntervalForestRegressor