Riemann-1.0: An Embodied World Action Model for Physical AI
Organizations: Riemann Dynamics · Research Intern at Riemann Dynamics
Abstract
We introduce Riemann-1.0, a fully causal autoregressive World Action Model for embodied intelligence. Riemann-1.0 jointly models multi-view visual observations, robot states, and embodiment-specific actions within a unified causal autoregressive sequence, representing robot actions and world evolution as causal state transitions. Unlike existing WAMs based on joint generation, video-first prediction, or decoupled modeling paradigms, Riemann-1.0 unifies online robot policy execution and action-conditioned world simulation within a single model, enabling it to function as both an executable robot policy and a multi-embodiment visual world simulator. To scale embodied experience across heterogeneous data sources, we further develop a progressive embodied pretraining framework that unifies learning from egocentric human videos, handheld-gripper demonstrations, and heterogeneous robot trajectories under a shared World Action Modeling objective. Built upon 200K+ hours of interaction data, Riemann-1.0 progressively transfers large-scale embodied experience into executable robot manipulation capabilities. Riemann-1.0 achieves state-of-the-art performance across both simulation benchmarks and real-world manipulation tasks. It achieves success rates of 94.3% on RoboTwin2.0, 99.0% on LIBERO, and 62.6% on the long-horizon compositional benchmark RoboCasa-365, outperforming the previous best method by 8.4% On long-horizon real-world manipulation tasks, Riemann-1.0 achieves a Success Rate (SR) of 85.0% and a Progress Success Rate (PSR) of 94.4%, exceeding the strongest open-source baseline by 15% in SR. These results demonstrate that unified World Action Modeling together with progressive embodied pretraining effectively transforms large-scale embodied experience into generalizable robot manipulation capabilities.
Figures & tables
| Model | Ordered cube stacking | Kitchen organization | Clothes folding | Desk organization | Avg. | |||||
| SR | PSR | SR | PSR | SR | PSR | SR | PSR | SR | PSR | |
| DreamZero* ( Ye et al., 2026b ) | 15.0 | 20.0 | 15.0 | 16.6 | 15.0 | 12.5 | 15.0 | 33.3 | 15.00 | 20.60 |
| -WM ( Zhou et al., 2026 ) | 15.0 | 26.2 | 15.0 | 20.0 | 15.0 | 24.6 | 20.0 | 57.2 | 16.25 | 32.00 |
| LingBot-VLA ( Wu et al., 2026 ) | 15.0 | 31.5 | 20.0 | 80.2 | 80.0 | 88.4 | 20.0 | 76.9 | 33.75 | 69.25 |
| ( Intelligence et al., 2025 ) | 40.0 | 59.0 | 20.0 | 37.2 | 45.0 | 73.5 | 40.0 | 73.1 | 36.25 | 60.70 |
| LingBot-VA ( Li et al., 2026 ) | 40.0 | 66.6 | 20.0 | 30.0 | 80.0 | 85.0 | 40.0 | 80.1 | 45.00 | 65.43 |
| Setting | Task | Riemann-1.0 (Ours) | LingBot-VA | |
| Compositional | Cube-to-bowl/plate placement | 8/10 (80.0) | 6/10 (60.0) | 3/10 (30.0) |
| + color-order constraint | 5/10 (50.0) | 3/10 (30.0) | 0/10 (0.0) | |
| Average | 65.0 | 45.0 | 15.0 | |
| OOD | Rubik’s cube to storage box | 10/10 (100.0) | 5/10 (50.0) | 3/10 (30.0) |
| Towel-to-basin placement | 7/10 (70.0) | 5/10 (50.0) | 3/10 (30.0) | |
| Average | 85.0 | 50.0 | 30.0 |
| Model | Atomic-Seen | Composite-Seen | Composite-Unseen | Average |
| GR00T-N1.5 ( Bjorck et al., 2025 ) | 60.6 | 35.0 | 33.3 | 43.7 |
| Fast-WAM ( Yuan et al., 2026 ) | 59.1 | 36.4 | 33.2 | 43.5 |
| LingBot-VA ( Li et al., 2026 ) | 63.5 | 37.3 | 32.1 | 45.1 |
| ABot-M0.5 ( Chen et al., 2026 ) | 70.6 | 44.3 | 45.6 | 54.2 |
| Riemann-1.0 (Ours) | 74.2 | 56.0 | 56.3 | 62.6 |
| Model | Clean | Randomized | Average |
| ( Intelligence et al., 2025 ) | 82.7 | 76.8 | 79.8 |
| ABot-M0 ( Yang et al., 2026 ) | 86.1 | 85.1 | 85.6 |
| LingBot-VLA ( Wu et al., 2026 ) | 86.5 | 85.3 | 85.9 |
| Qwen-VLA ( Wang et al., 2026b ) | 86.1 | 87.2 | 86.7 |
| Motus ( Bi et al., 2026 ) | 88.7 | 87.0 | 87.8 |
| Fast-WAM ( Yuan et al., 2026 ) | 91.9 | 91.8 | 91.8 |
| Method | Spatial | Object | Goal | Long | Average |
| -Fast ( Pertsch et al., 2025 ) | 96.4 | 96.8 | 88.6 | 60.2 | 85.5 |
| GR00T-N1 ( Bjorck et al., 2025 ) | 94.4 | 97.6 | 93.0 | 90.6 | 93.9 |
| ( Black et al., 2024 ) | 98.0 | 96.8 | 94.4 | 88.4 | 94.4 |
| InternVLA-M1 ( Chen et al., 2025b ) | 98.0 | 99.0 | 93.8 | 92.6 | 95.9 |
| ( Intelligence et al., 2025 ) | 98.8 | 98.2 | 98.0 | 92.4 | 96.9 |
| GR00T-N1.6 ( Bjorck et al., 2025 ) | 97.7 | 98.5 | 97.5 | 94.4 | 97.0 |