ResearchResearch paperRobotics & Embodied AI1 source · Oct 21, 2026

Relational Geometry Forcing for World Action Models

World Action Models (WAMs) have shown strong potential for robot manipulation by jointly learning visual dynamics and executable actions.

Key points

  • Recently, geometry-aware WAMs introduce depth or 4D prediction branches, whereas representation alignment methods supervise intermediate WAM features with pretrained 3D foundation models.
  • Yet we find that such pointwise alignment benefits the video features but degrades action learning, since dense geometric feature targets overly restrict compact action features.
  • To address this limitation, we propose Relational Geometry Forcing (RGF), which transfers geometric priors from a frozen 3D foundation model by aligning pairwise feature relations instead of pointwise features.
  • Extensive experiments in simulation and the real world demonstrate the effectiveness of Relational Geometry Forcing, showing consistent gains across diverse manipulation scenarios and WAM paradigms.

Sources (1)

  • [1]Relational Geometry Forcing for World Action Models
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 21, 06:35 AM
    World Action Models (WAMs) have shown strong potential for robot manipulation by jointly learning visual dynamics and executable actions.
    Recently, geometry-aware WAMs introduce depth or 4D prediction branches, whereas representation alignment methods supervise intermediate WAM features with pretrained 3D foundation models.

Extractive summary: sentences quoted from the sources.

Before this

  1. Oct 21, 2026How Representational Priors Shape Generalization in World Action Models
  2. Oct 21, 2026Agentic World Action Models
  3. Oct 20, 2026Plausible Future, Wrong Choice: Steering World-Action Models toward Intended Future
  4. Oct 20, 2026De-Diffusing WAMs: Action-Sufficient Direct Prediction for Robot Control
  5. Oct 20, 2026PLaCA: Learning Patch-Level Future Latent Change for Action Generation
  6. Oct 19, 2026PrismWAM: Decoupling State Representations in World Action Models

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