LpWM: A Case for Sparse Representations in World Models

Published
Source
arXiv
Paper number
991
Field
Machine Learning
arXiv ID
2608.22764

Key points

  • It theoretically showed that nonlinear dynamics can be approximated linearly in a sufficiently high-dimensional one-hot latent space.
  • It proposed LpWorldModel, which uses RDMReg regularization to learn sparse latent codes in which most coordinates are zero.
  • On PushT, sparse representations achieved planning success rates up to 57 percentage points higher than dense representations in LeWM.
  • A structure emerged spontaneously in which the positions of nonzero coordinates encode discrete dynamical modes, while their magnitudes encode continuous states within each mode.
  • However, the benefit of sparse representations depends on predictor capacity: the difference from dense representations nearly disappeared in the easy Wall environment or with a sufficiently expressive predictor.

Paper links

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