A Generalization Theory for JEPA-Based World Models
- URL: http://arxiv.org/abs/2606.27014v1
- Date: Thu, 25 Jun 2026 13:29:20 GMT
- Title: A Generalization Theory for JEPA-Based World Models
- Abstract summary: Joint Embedding Predictive Architectures (JEPAs) have emerged as a promising paradigm for world modeling.<n>Despite their empirical success, the theoretical understanding of JEPA-based world models remains limited.
- Score: 34.09833992943572
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Joint Embedding Predictive Architectures (JEPAs) have recently emerged as a promising paradigm for world modeling by learning predictive dynamics in a latent space rather than generating future observations at the input level. Despite their empirical success, the theoretical understanding of JEPA-based world models remains limited. In this paper, we develop the first generalization theory for JEPA-based world models. We formulate JEPA pretraining as a conditional spectral graph learning problem and show that the JEPA objective is equivalent to a low-rank factorization of an action-conditioned co-occurrence matrix. Building on this characterization, we establish a connection between JEPA pretraining error and downstream planning regret, leading to a finite-sample generalization bound for JEPA-based world models. Our analysis reveals an inherent trade-off between approximation and sample errors with respect to the latent dimension, providing theoretical insights into the advantages and limitations of latent predictive models compared with input-level predictive approaches.
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