Abstract:Traditional deep neural networks suffer from several limitations, including catastrophic forgetting. When models are adapted to new datasets, they tend to quickly forget previously learned knowledge. Another significant issue is the lack of robustness to even small perturbations in the input data. In practice, we can often easily perform adversarial attacks and change the network's predictions, adding minimal noise to the input. Dedicated architectures and training procedures can solve each of the above problems separately. Unfortunately, currently, no model can simultaneously address both catastrophic forgetting and vulnerability to adversarial attacks. We introduce SHIELD (Secure Hypernetworks for Incremental Expansion and Learning Defense), a novel approach that integrates a hypernetwork-based continual learning approach with interval arithmetic. SHIELD use the hypernetwork to transfer trainable task embedding vectors into the weights of a target model dedicated to specific data. This paradigm allows for the dynamic generation of separate networks for each subtask, while the hypernetwork aggregates and analyzes information across all tasks. The target model takes in the input a data sample with a defined interval range, and by creating a hypercube, produces a prediction for the given range. Therefore, such target models provide strict guarantees against all possible attacks for data samples within the interval range. Our approach enhances security without sacrificing network adaptability, addressing the overlooked challenge of safety in continual learning.