6533b852fe1ef96bd12aaf48

RESEARCH PRODUCT

Neural Teleportation

Marco ArmentaThierry JudgeNathan PainchaudYoussef SkandaraniCarl LemaireGabriel Gibeau SanchezPhilippe SpinoPierre-marc Jodoin

subject

FOS: Computer and information sciencesComputer Science - Machine LearningGeneral MathematicsComputer Science (miscellaneous)Computer Science - Neural and Evolutionary ComputingQuantum PhysicsNeural and Evolutionary Computing (cs.NE)Engineering (miscellaneous)quiver representations; neural networks; teleportationMachine Learning (cs.LG)

description

In this paper, we explore a process called neural teleportation, a mathematical consequence of applying quiver representation theory to neural networks. Neural teleportation "teleports" a network to a new position in the weight space and preserves its function. This phenomenon comes directly from the definitions of representation theory applied to neural networks and it turns out to be a very simple operation that has remarkable properties. We shed light on surprising and counter-intuitive consequences neural teleportation has on the loss landscape. In particular, we show that teleportation can be used to explore loss level curves, that it changes the local loss landscape, sharpens global minima and boosts back-propagated gradients at any moment during the learning process. Our results can be reproduced with the code available here: https://github.com/vitalab/neuralteleportation

https://dx.doi.org/10.48550/arxiv.2012.01118