Double Descent Optimization Pattern and Aliasing: Caveats of Noisy Labels

Optimization plays a key role in the training of deep neural networks. Deciding when to stop training can have a substantial impact on the performance of the network during inference. Under certain conditions, the generalization error can display a double descent pattern during training: the learning curve is non-monotonic and seemingly diverges before converging again after additional epochs. This optimization pattern can lead to early stopping procedures to stop training before the second convergence and consequently select a suboptimal set of parameters for the network, with worse performance during inference. In this work, in addition to confirming that double descent occurs with small datasets and noisy labels as evidenced by others, we show that noisy labels must be present both in the training and generalization sets to observe a double descent pattern. We also show that the learning rate has an influence on double descent, and study how different optimizers and optimizer parameters influence the apparition of double descent. Finally, we show that increasing the learning rate can create an aliasing effect that masks the double descent pattern without suppressing it. We study this phenomenon through extensive experiments on variants of CIFAR-10 and show that they translate to a real world application: the forecast of seizure events in epileptic patients from continuous electroencephalographic recordings.

Inaccurate Supervision of Neural Networks with Incorrect Labels: Application to Epilepsy

This work describes multiple weak supervision strategies for video processing with neural networks in the context of seizure detection. To study seizure onset, we have designed automated methods to detect seizures from electroencephalography (EEG), a modality used for recording electrical brain activity. However, the EEG signal alone is sometimes not enough for existing detection methods to discriminate seizure from artifacts having a similar signal on EEG. For example, such artifacts could be triggered by patting, rocking or suctioning in the case of neonates. In this article, we addressed this problem by automatically detecting an example artifact -- patting of neonates -- from continuous video recordings of neonates acquired during clinical routine. We computed frame-to-frame cross-correlation matrices to isolate patterns showing repetitive movements indicative of patting of the patient. Next, a convolutional neural network was trained to classify whether these matrices contained patting events using weak training labels -- noisy labels generated during daily clinical procedure. The labels were considered weak as they were sometimes incorrect. We investigated whether networks trained with more samples, containing more uncertain and weak labels, could achieve a higher performance. Our results showed that, in the case of patting detection, such networks could achieve a higher recall, without sacrificing precision. These networks focused on areas of the cross-correlation matrices that were more meaningful to the task. More generally, our work gives insights into building more accurate models from weakly labelled time sequences.