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An evaluation of Bayesian techniques for controlling model complexity and selecting inputs in a neural network for
Henrique S Hippert1, James W Taylor
1Universidade Federal de Juiz de Fora, Brazil. henrique.hippert@ufjf.edu.br
This study introduces Bayesian methods for automatic neural network modeling in electricity load forecasting. These techniques effectively select input variables and determine optimal model complexity, improving forecasting accuracy.
Area of Science:
- Artificial Intelligence
- Electrical Engineering
- Statistical Modeling
Background:
- Artificial neural networks (ANNs) are suitable for nonlinear modeling of large datasets in electricity load forecasting.
- Challenges in ANN modeling include defining model complexity and selecting input variables.
Purpose of the Study:
- To evaluate Bayesian techniques for automatic neural network modeling in electricity load forecasting.
- To compare Bayesian input selection and structure optimization with traditional cross-validation methods.
Main Methods:
- Applied Bayesian framework for automatic neural network modeling.
- Utilized Bayesian 'automatic relevance determination' for input selection.
- Employed Bayesian 'evidence' for selecting optimal network structure (number of neurons).
- Tested on six datasets of daily load and weather data from four countries.
Main Results:
- Bayesian methods demonstrated effectiveness in automatic input selection for load forecasting models.
- Bayesian evidence proved useful for selecting the optimal number of neurons, comparable to cross-validation.
- The approach was validated across diverse international datasets.
Conclusions:
- Bayesian frameworks offer robust solutions for automated complexity and input variable selection in neural network-based electricity load forecasting.
- These methods provide a viable alternative to traditional cross-validation for optimizing neural network models in this domain.
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