Poster

Adaptive Checkpoint Adjoint Method for Gradient Estimation in Neural ODE

Juntang Zhuang · Nicha Dvornek · Xiaoxiao Li · Sekhar Tatikonda · Xenophon Papademetris · James Duncan

Keywords: [ Optimization ] [ Supervised Learning ] [ Algorithms ] [ Deep Learning - Algorithms ]

[ Abstract ] [ Join Zoom
[ Slides
Please do not share or post zoom links

Abstract:

The empirical performance of neural ordinary differential equations (NODEs) is significantly inferior to discrete-layer models on benchmark tasks (e.g. image classification). We demonstrate an explanation is the inaccuracy of existing gradient estimation methods: the adjoint method has numerical errors in reverse-mode integration; the naive method suffers from a redundantly deep computation graph. We propose the Adaptive Checkpoint Adjoint (ACA) method: ACA applies a trajectory checkpoint strategy which records the forward- mode trajectory as the reverse-mode trajectory to guarantee accuracy; ACA deletes redundant components for shallow computation graphs; and ACA supports adaptive solvers. On image classification tasks, compared with the adjoint and naive method, ACA achieves half the error rate in half the training time; NODE trained with ACA outperforms ResNet in both accuracy and test-retest reliability. On time-series modeling, ACA outperforms competing methods. Furthermore, NODE with ACA can incorporate physical knowledge to achieve better accuracy.

Chat is not available.