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Paper · arXiv

QQWorld: Quantile-Quantile Matching for World Model Regularization

Latent world models enable efficient planning by predicting future states in a compact representation space, but their performance depends critically on the quality of the learned latent distribution. LeWorldModel (LeWM) regularizes its latents toward an isotropic Gaussian using the Epps-Pulley (EP) objective. We show that the corrective gradients of EP rapidly vanish for isolated tail samples, leaving heavy-tailed deviations insufficiently controlled. To address this limitation, we propose QQWorld, which replaces EP with a quantile-quantile matching objective that directly aligns projected latent samples with rank-matched Gaussian quantiles, thereby maintaining effective corrective gradi...

AuthorsZhoushun Yu, Xiaoyu Hu, Xiangyu Xu
Primary categorycs.LG
Published30 July 2026
Last updated at source30 July 2026
cs.LGcs.AIcs.CVcs.MMcs.RO
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