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QQWorld: Quantile-Quantile Matching for World Model Regularization
Abstract
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 gradients in the tails. We further develop cross-batch QQ, which enlarges the effective ranking pool using detached samples from previous batches, and characterize its bias-variance trade-off. Across four control environments, QQWorld effectively improves the average planning success rate of LeWM, while consistently yielding better Gaussian alignment and thinner latent tails.
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QQWorld improves latent world models with a quantile-quantile matching objective that aligns projected latent samples with rank-matched Gaussian quantiles, boosting planning success.
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Cite arxiv.org/abs/2607.28415 in a model README.md to link it from this page.
Cite arxiv.org/abs/2607.28415 in a dataset README.md to link it from this page.
Cite arxiv.org/abs/2607.28415 in a Space README.md to link it from this page.
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