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RFT and edRFT models for significant wave-height time-series forecasting.

Project description

Project description

Feature - Significant Wave Height Forecasting GitHub last commit GitHub issues GitHub stars Python Version License

A rich documentation is available in the GitHub repository.

edRFT: Deep Random Vector Functional Link Transformer Network

edRFT is a Python package for significant wave height forecasting using shallow and ensemble deep Random Vector Functional Link Transformer Network models with multiple output layers.

This package is developed for nonlinear time-series forecasting, ocean wave prediction, and regression problems where fast training, strong representation learning, and reliable forecast generation are important.

This package provides two primary implementations:

  • RFTRegressor (Random Vector Functional Link Transformer Regressor): A randomized transformer-based forecasting model that converts input variables into nonlinear hidden representations and learns the output layer efficiently using regularized regression.

  • EDRFTRegressor (Ensemble Deep Random Vector Functional Link Transformer Regressor): A deeper ensemble model that stacks randomized transformer layers and uses multiple output layers. Different layers can capture different levels of information, and their predictions are combined to improve forecasting stability.

Both models are suitable for significant wave height forecasting because wave dynamics are affected by nonlinear interactions among wind direction, wind speed, gust speed, wave period, and previous wave-height observations.

Key Features

  • RFT and edRFT Models: Provides both a shallow randomized transformer model and a deeper ensemble version.
  • Multiple Output Layers: edRFT learns layer-wise output readouts, allowing different hidden depths to contribute to the final forecast.
  • Transformer-Inspired Feature Interaction: Randomization-based transformer mappings help capture nonlinear relationships among input variables.
  • Efficient Training: Uses randomized hidden representations with regularized output-layer learning, making repeated experiments and tuning practical.
  • Wave Forecasting: Designed for buoy-based significant wave height forecasting using meteorological and oceanographic variables.
  • Forecasting Utilities: Includes lag-window creation, scaling, chronological splitting, evaluation, and experiment helpers.
  • Hyperparameter Tuning: Supports Hyperopt/TPE-based search for reproducible model selection.

Installation

  1. Downloading locally and installing

     git clone https://github.com/statsdl/edRFT.git
     cd edRFT
    
  2. Install dependencies

     pip install -r requirements.txt
    
  3. Install the package

     pip install -e .
    
  4. Using pip install from GitHub

     pip install git+https://github.com/statsdl/edRFT.git
    
  5. Using pip install from PyPI

     pip install edrft
    
  6. Development installation

     pip install -e ".[dev]"
    

Usage

1. RFTRegressor

Example

import numpy as np
from edrft import RFTRegressor

# Generate synthetic regression data
rng = np.random.default_rng(0)
X_train = rng.normal(size=(150, 6))
y_train = X_train[:, 0] - 0.3 * X_train[:, 1] + np.sin(X_train[:, 2])

# Initialize and fit RFT
model = RFTRegressor(n_hidden=64, random_state=0)
model.fit(X_train, y_train)

# Predict
X_test = rng.normal(size=(20, 6))
y_pred = model.predict(X_test)
print("Predictions:", y_pred)

2. EDRFTRegressor

Example

import numpy as np
from edrft import EDRFTRegressor, make_forecasting_frame

# Generate a simple univariate time series
series = np.sin(np.linspace(0, 16, 240))

# Create supervised forecasting data
X, y = make_forecasting_frame(series, order=4, horizon=1)

X_train, y_train = X[:180], y[:180]
X_test = X[180:]

# Initialize and fit edRFT
model = EDRFTRegressor(
    n_layers=3,
    n_hidden=32,
    regularization=1e-3,
    random_state=0,
)
model.fit(X_train, y_train)

# Forecast
y_pred = model.predict(X_test)
print("Forecasts:", y_pred[:5])

Wave Forecasting Example

The repository includes a command-line workflow for buoy-based significant wave height forecasting.

Run the example:

python examples/run_wave_forecasting.py \
    --data-dir wave \
    --stations 46001h \
    --years 2017 \
    --look-back 48 \
    --horizon 4 \
    --layers 10 \
    --max-evals 100

The workflow reports RMSE, MAPE, MASE, timing information, and selected hyperparameters.


API Reference

RFTRegressor

A randomized transformer-based regressor for regression and forecasting tasks.

Parameters:

  • n_hidden (int): Number of hidden randomized features.
  • regularization (float): Ridge regularization parameter.
  • random_state (int): Random seed for reproducibility.

Methods:

  • fit(X, y): Fits the model.
  • predict(X): Predicts output values.

EDRFTRegressor

A deep ensemble randomized transformer model with multiple output layers.

Parameters:

  • n_layers (int): Number of stacked randomized transformer layers.
  • n_hidden (int): Number of hidden features per layer.
  • regularization (float): Ridge regularization parameter.
  • aggregation (str): Strategy for combining layer-wise predictions.
  • random_state (int): Random seed for reproducibility.

Methods:

  • fit(X, y): Fits the ensemble model.
  • predict(X): Generates final forecasts.

How It Works

  1. RFTRegressor

    • Input variables are mapped into randomized transformer-style hidden representations.
    • The output layer is learned using regularized regression.
  2. EDRFTRegressor

    • Multiple randomized transformer layers are stacked sequentially.
    • Each layer learns an output readout.
    • Final forecasts are obtained by combining layer-wise predictions.
  3. Forecasting utilities

    • Time-series data are converted into supervised learning frames using lag windows.
    • Chronological train-validation-test splitting is used for forecasting evaluation.
    • Forecasting performance is reported using common error metrics.

Dataset Details

Variable Description
WDIR Wind direction
WSPD Wind speed
GST Gust speed
APD Average wave period
WVHT Significant wave height

License

This project is licensed under the MIT License. See the LICENSE file for details.

Citation

If you are using this package in your research, please cite the following paper:

@article{bhambu2025deep,
  title={Deep random vector functional link transformer network with multiple output layers for significant wave height forecasting},
  author={Bhambu, Aryan and Gao, Ruobin and Suganthan, Ponnuthurai Nagaratnam and Selvaraju, Natarajan},
  journal={Applied Soft Computing},
  pages={114136},
  year={2025},
  publisher={Elsevier}
}

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