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Sparse Planning in Visual World Models via Cost Gradients
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Proposes CostGrad, a training-free goal-conditioned token selector that ranks spatial tokens by planning-cost gradient norm to sparsify CEM planning in token-based visual world models, and shows its benefit depends on the action-conditioning architecture (AdaLN vs concat).
Problem
Planning with token-based visual world models via CEM requires repeated rollouts over large spatial token grids, which is expensive; prediction-derived importance signals may not reflect control relevance.
Approach
Score each input token by the gradient norm of a one-step planning cost (distance of predicted next-state to goal) with respect to that token, keep the top-K tokens, and run CEM only on the retained subset; the selection is goal-conditioned and needs no retraining.
Key results
- At 50% tokens on AdaLN-Zero, CostGrad averages 77.3% success vs 73.5% for Full, exceeding Full on Wall (92.0 vs 84.7), PushT, and MetaWorld.
- CostGrad gives a measured 2.6x wall-clock speedup per planning step; combined with halving CEM iterations, about 5.2x total speedup at 92.0% success on Wall.
- On matched concat predictors, CostGrad has no consistent advantage over Random (Wall -0.1±4.9 pp; PointMaze +2.0±4.5 pp); action-pathway drift ratio vs Random is 0.29 on AdaLN but 1.33 on concat.
Surprising findings
- Selecting the bottom-gradient tokens collapses planning (0/60 on AdaLN, 1/96 on concat), while the top-gradient selection is strongly beneficial on AdaLN.
- Sparse planning at 50% tokens exceeds full-token planning on three of four environments, which the authors attribute to removing noisy background tokens from the cost.
Limitations
- Evaluated only on four simulated environments, one encoder (DINOv2 ViT-S/14) and one planner (CEM).
- Selector-architecture finding tested only on AdaLN vs channel concat predictors.
- Selection uses a one-step probe while CEM evaluates longer horizons.
Experimental setup
Datasets: PointMaze Wall PushT MetaWorld
Benchmarks: PointMaze Wall PushT MetaWorld
Metrics: planning success rate wall-clock time per planning step action-pathway KL drift
Baselines: Full PredAttn PredGrad Random ToMe Sparse Imagination
Builds on: DINO-WM JEPA-WMs AdaLN-Zero Sparse Imagination cross-entropy method
Closest papers by meaning
- Predictive but Not Plannable: RC-aux for Latent World Models (NeurIPS 2026 · similarity 0.89)
- World-aware Planning Narratives Enhance Large Vision-Language Model Planner (NeurIPS 2025 · similarity 0.87)
- Coarse-to-Fine Compositional Diffusion for Long-Horizon Planning (NeurIPS 2026 · similarity 0.87)
- HaM-World: Soft-Hamiltonian World Models with Selective Memory for Planning (NeurIPS 2026 · similarity 0.87)
- DINO-WM: World Models on Pre-trained Visual Features enable Zero-shot Planning (ICML 2025 · similarity 0.87)
- Learning Cognitive Maps from Transformer Representations for Efficient Planning in Partially Observed Environments (ICML 2024 · similarity 0.86)
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