A multifidelity approach to continual learning for physical systems
This method is particularly suited for physical systems and physics-informed neural networks where data share physical laws, offering an incremental improvement by combining with existing techniques.
The paper tackles catastrophic forgetting in continual learning by introducing a multifidelity deep neural network method that leverages correlations between previous and current model outputs, showing robust results in limiting forgetting across several datasets.
We introduce a novel continual learning method based on multifidelity deep neural networks. This method learns the correlation between the output of previously trained models and the desired output of the model on the current training dataset, limiting catastrophic forgetting. On its own the multifidelity continual learning method shows robust results that limit forgetting across several datasets. Additionally, we show that the multifidelity method can be combined with existing continual learning methods, including replay and memory aware synapses, to further limit catastrophic forgetting. The proposed continual learning method is especially suited for physical problems where the data satisfy the same physical laws on each domain, or for physics-informed neural networks, because in these cases we expect there to be a strong correlation between the output of the previous model and the model on the current training domain.