Neural Teleportation

Jan 16, 2023·
Marco Armenta
Equal contribution
,
Thierry Judge
Equal contribution
Nathan Painchaud
Nathan Painchaud
,
Youssef Skandarani
,
Carl Lemaire
,
Gabriel Gibeau Sanchez
,
Philippe Spino
,
Pierre-Marc Jodoin
· 0 min read
Abstract
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 the 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.
Type
Publication
Mathematics