Scalable Embodied AI faces fundamental constraints due to prohibitive costs and safety risks of real-world interaction. While Embodied World Models (EWMs) offer promise through imagined rollouts, existing approaches suffer from geometric hallucinations and lack unified optimization frameworks for practical policy improvement. We introduce RoboStereo, a symmetric dual-tower 4D world model that employs bidirectional cross-modal enhancement to ensure spatiotemporal geometric consistency and alleviate physics hallucinations. Building upon this high-fidelity 4D simulator, we present the first unified framework for world-model-based policy optimization: (1) Test-Time Policy Augmentation (TTPA) for pre-execution verification, (2) Imitative-Evolutionary Policy Learning (IEPL) leveraging visual perceptual rewards to learn from expert demonstrations, and (3) Open-Exploration Policy Learning (OEPL) enabling autonomous skill discovery and self-correction. Comprehensive experiments demonstrate RoboStereo achieves state-of-the-art generation quality, with our unified framework delivering >97% average relative improvement on fine-grained manipulation tasks.
Figures & tables
Figure 1: (a) Qualitative comparison of RoboStereo against SOTA EWMs. (b) Quantitative comparison of unified policy optimization framework against traditional paradigms.
Figure 2: RoboStereo Architecture. Symmetric dual DiT towers (a) process RGB and XYZ pointmaps via bidirectional cross-attention for visual-geometric fusion (b) and a Gaussian head for flexible-viewpoint rendering. Dual-path action-conditioned timestep embedding mechanism (c) ensures precise frame-level trajectory control.
Figure 3: Illustration of Test-Time Policy Augmentation (TTPA).
Figure 4: Illustration of Imitative-Evolutionary Policy Learning (IEPL).
Figure 5: Illustration of Open-Exploration Policy Learning (OEPL).
Figure 6: Training procedures for IEPL and OEPL. IEPL (left) learns through visual imitation by matching policy rollouts with expert trajectories. OEPL (right) learns through open exploration guided by a discriminator-based reward model.
Models
Visual Quality
Motion Quality
Content Consistency
Image
Aesthetic
JEPA
Dynamic
Flow
Motion
Subject
Background
Photometric
Quality
Quality
Similarity
Degree
Score
Smoothness
Consistency
Consistency
Consistency
GigaWorld
0.483
0.384
0.429
0.650
0.308
0.771
0.727
0.825
0.172
Genie
0.222
0.319
0.327
0.666
0.083
0.687
0.762
0.875
0.197
MIND-V
0.319
0.397
0.452
0.552
0.267
0.756
0.803
0.902
0.240
RoboMaster
0.346
0.378
0.294
0.606
0.146
0.693
0.809
0.896
0.333
Table 1: Video evaluation results across visual quality, motion quality and content consistency dimensions. Best results are bolded , and second-best results are underlined .
Figure 7: Visualizations of the 4D Gaussian representations, RGB videos, and depth maps produced by RoboStereo. RoboStereo generates precise future trajectories conditioned on action instructions, exhibiting high visual fidelity and geometric consistency.
Models
Physics Adherence
3D Accuracy
Controllability
Interaction Quality
Trajectory Acc.
Depth Acc.
Perspectivity
Instruction Follow.
Semantic Align.
Action Follow.
GigaWorld
0.523
0.152
0.611
0.753
0.599
0.844
0.109
Genie
0.198
0.067
0.844
0.513
0.200
0.848
0.011
MIND-V
0.570
0.137
0.705
0.788
0.593
0.865
0.079
RoboMaster
0.526
0.115
0.801
0.731
0.561
0.839
0.075
Vidar
0.520
0.185
0.775
0.748
0.573
0.856
0.039
Table 2: Video evaluation results across physics adherence, 3D accuracy and controllability dimensions. Best results are bolded , and second-best results are underlined .
ID
Methods
Coffee
StackThree
Square
Mean
0
Base policy
32.6
30.2
20.2
27.7
1
TTPA
46.7
46.9
36.2
43.3
2
DPO
32.6
38.2
23.3
31.4
3
GRPO
29.8
35.1
22.7
29.2
4
IEPL
47.8
44.1
37.4
43.1
5
OEPL
53.4
50.8
39.3
47.8
Table 3: Task success rates (%) under different optimization paradigms in the MimicGen simulation benchmark.
Model Variant
Physics Adherence
3D Accuracy
Interaction Quality
Trajectory Acc.
Depth Acc.
Perspectivity
(a) Video tower only
0.538
0.320
0.821
0.758
(b) Dual-tower joint training
0.570
0.342
0.881
0.797
Model Variant
Controllability
Motion Quality
Instruction Follow.
Action Follow.
Flow Score
Motion Smoothness
(c) Action-cond via channel concatenation
0.622
0.061
0.238
0.703
Table 4: Ablation study conducted on the Bridge dataset. Results demonstrate that joint dual-tower training substantially improves 3D consistency in generated videos, while incorporating action conditioning via timestep embedding modulation yields markedly superior action control and motion quality. Best results are bolded .
Method
Speed (FPS) ↑
WoW [ 7 ]
0.05
MIND-V [ 48 ]
0.38
IRASim [ 51 ]
0.53
RoboMaster [ 10 ]
0.63
Ours (Video Tower)
1.50
Figure 8: Inference speed comparison.
Figure 9: Visualization of fine-grained geometric reasoning enabled by IEPL on the Three_Piece_Assembly_D0 task. The base policy (top row) produces coarse actuation and fails to satisfy precise 3D geometric constraints. In contrast, the IEPL-optimized policy (bottom row), guided by dense visual imitation rewards from RoboStereo’s imagined trajectories, performs continuous micro-adjustments, achieving accurate part insertion.
Figure 10: Visualization of emergent self-correction via OEPL on the Square_D0 task. The base policy (top row) exhibits open-loop failure propagation: after an initial grasp failure, it erroneously treats the failed state as successful and blindly executes the subsequent transport trajectory. In contrast, the OEPL-optimized VLA policy (bottom row) autonomously detects the grasp slip and initiates a corrective re-grasping maneuver, achieving robust task completion.
Figure 11: Qualitative results of real-world deployment. The robotic arm is instructed to clear target cubes from a desktop with a prism serving as a distractor. The VLA jointly optimized via IEPL and OEPL exhibits emergent self-correction and fine-grained micro-adjustment capabilities. These critical recovery behaviors absent in the imitation learning baseline.
Hyperparameter
Value
Optimizer
AdamW( β1=0.9,β2=0.999 )
Learning rate
5×10−6
Training batch size
64
Group size G
8
Mini-batch size
128
Clip ratio ϵlow
0.20
Table 5: Hyperparameters for the GRPO algorithm.
Model Dim
FFN Dim
Heads
Head Dim
Blocks
Self-Attn
Text Cross-Attn
Tower Cross-Attn
2048
8192
16
128
56
56
28
Table 6: Model Architecture Configuration
Dimension
Metric
Computation Method
Visual Quality
Image Quality
No-reference frame sharpness via MUSIQ [ 13 ] ; averaged over all frames.
Aesthetic Quality
Per-frame aesthetic score via LAION Aesthetic Predictor [ 17 ] ; averaged over all frames.
JEPA Similarity
MMD between V-JEPA [ V-jepa ] feature distributions of generated and reference videos using a second-order polynomial kernel; exponentiated for normalization.
Motion Quality
Dynamic Degree
Top-5% optical flow magnitudes (RAFT [ 5 ] ) mapped via sigmoid to quantify salient motion intensity.
Flow Score
Mean optical flow magnitude across all pixels and frames via RAFT; reflects overall motion intensity.
Motion Smoothness
SSIM between VFI-predicted [ 42 ] and real intermediate frames, weighted by motion magnitude to penalize static sequences.
Table 7: Summary of video quality evaluation metrics in WorldArena [ 33 ] .