Exact equivariance, kept through training, buys zero-shot generalisation across the symmetry group 事件

Exact equivariance, kept through training, buys zero-shot generalisation across the symmetry group arXiv:2606.03003v1 Announce Type: cross Abstract: A latent world model built from an equivariant encoder $E$ and an equivariant predictor $f$ inherits a provable symmetry of its training loss: when the world's dynamics genuinely carries a group $G$ acting on latents by an orthogonal representation $\rho(g)$, the one-step prediction relMSE is exactly invariant across the whole group, so fitting the