BridgeWAM: Does Shared Attention Align Physical World Representations with Actions?

Under Review

BridgeWAM in the real world

Four everyday tasks. Real-world manipulation.

Successful robot rollouts across different objects and settings.

LaptopSuccessful rollout

Abstract

Existing World Action Models (WAMs) commonly use Mixture-of-Transformers (MoT) to inject video tokens or their key–value representations directly into action attention. This dense coupling implicitly assumes natural alignment in a shared space and exposes the Action Expert to irrelevant visual information, limiting inference efficiency and generalization. We introduce Bridge-of-Experts (BoE), a compact interface that connects a Video Expert and an Action Expert through 32 Latent Bridge Queries (LBQs), and instantiate it in BridgeWAM. The LBQs aggregate observation, language, and robot-state information within the Video Expert and provide the Action Expert's conditioning. Joint video and action supervision trains this interface, with action gradients flowing through the LBQs into the Video Expert. BridgeWAM decouples expert depths, pairing a 30-layer Video Expert with a two-layer action head, and reuses the bridge throughout action denoising without generating future video at inference. BridgeWAM achieves 98.25% success on LIBERO and 72.24% in the LIBERO-Plus suite-level evaluation. Compared with Fast-WAM, it reduces FLOPs per inference by 28.72% in single-sample profiling and lowers inference latency to 77.1 ms in real-world robot experiments, a 2.47× speedup. These results suggest that BoE learns cross-modal alignment through joint video and action generation rather than assuming it in a shared attention space, allowing action supervision to guide the Video Expert toward representations better suited for task-relevant perception, action prediction, and closed-loop control across changing visual conditions.

Overview of BridgeWAM

BridgeWAM overview: LIBERO-Plus success and parameter count, the Latent Bridge Query architecture, and real-world results

Left: LIBERO-Plus success rates and model parameter counts. Center: Latent Bridge Queries connect a 30-layer Video Expert to a two-layer Action Expert, replacing the dense video K/V interface of MoT. Right: real-world manipulation tasks with success rates and measured inference latency.

Comparison of the BoE and MoT architectures

Comparison of the BoE and MoT architectures

BoE uses Latent Bridge Queries (LBQs) to transfer action-relevant visual features between experts. Unlike MoT's matched-depth coupling, BoE decouples expert depths, enabling BridgeWAM to use only two Action DiT layers while retaining the full Video Expert for rich visual representation learning.

Model Architecture

BridgeWAM architecture overview

BridgeWAM keeps the Video Expert and Action Expert modality-specific and couples them only through 32 Latent Bridge Queries (LBQs). Inside the 30-layer Video DiT, the LBQs are inserted from the first layer and, at every block, attend to the current-observation tokens (and to each other) to aggregate action-relevant visual and physical information. Crucially, the LBQs never attend to future-video tokens, so the same information boundary holds at training and inference — at test time only the current frame is processed.

After the final Video DiT layer, the LBQs are projected into the Action Expert space and read by a lightweight two-layer alternating cross–self-attention action head: a single cross-attention block retrieves information from the LBQs, followed by one self-attention block that reasons over the action chunk (“read once, reason once”). Video flow-matching and action flow-matching are optimized jointly, so action supervision propagates back through the LBQs and shapes the Video Expert toward representations better suited for control.

Results: LIBERO, LIBERO-Plus & LIBERO-Pro

Results on LIBERO and LIBERO-Pro. We report task success rates (%) on the Spatial, Object, Goal, and Long-Horizon suites, together with their average.

Method Embodied PT. LIBERO LIBERO-Pro (zero-shot)
Spatial↑Object↑Goal↑Long↑Avg.↑ Spatial↑Object↑Goal↑Long↑Avg.↑
OpenVLA✓84.788.479.253.776.540.532.025.020.529.5
π0✓96.898.895.885.294.152.033.254.633.243.2*
π0.5✓98.898.298.092.496.955.652.248.057.053.0*
LingBot-VA✓98.599.697.298.598.5–––––
Motus✓96.899.896.697.697.7–––––
World Action Model
Fast-WAM✗97.899.495.494.696.857.649.258.140.851.4
Faster-WAM✗99.699.898.298.299.059.652.859.645.854.5
BridgeWAM (Ours)✗99.0100.097.496.698.357.855.158.443.553.7

* Reproduced using the same hyperparameter settings as the official LIBERO-Pro repository.

Zero-shot results on LIBERO-Plus. Task success rates (%) under seven types of perturbations and their average. “Embodied PT.” indicates whether embodied pre-training is used.

Method Embodied PT. LIBERO-Plus (zero-shot)
Camera↑Robot↑Lang.↑Light↑Backg.↑Noise↑Layout↑Avg.↑
Vision Language Model
OpenVLA✓0.63.938.714.238.45.442.519.7
OpenVLA-OFT✓56.431.979.588.793.375.874.269.6
π0✓13.86.058.885.081.479.068.953.6
World Action Model
Fast-WAM✗15.444.468.579.052.637.361.549.5
OpenWAM-α✗33.876.188.097.087.139.877.569.2
Faster-WAM✗53.871.694.796.361.363.679.173.6
BridgeWAM (Ours)✗56.560.585.192.269.273.675.772.2

Results: RoboTwin 2.0

Fine-grained task comparison on RoboTwin 2.0 Simulation (Clean vs. Randomized).

Task π0 π0.5 Motus Motus (WAN2.2) LingBot-VA Fast-WAM Faster-WAM BridgeWAM (Ours)
CRCRCRCR CRCRCRCR
Adjust Bottle9995100998993999790941001001009910099
Blocks Ranking RGB806392859997928899981001001001009999
Click Bell714899661001001001001001001001001001009999
Grab Roller9894100100100100100100100100100100100100100100
Handover Mic979798977863989594969910010099100100
Lift Pot807296859699908710099100100100100100100
Shake Bottle Horizontally98929999100981009710099100100100100100100
Shake Bottle94919997100971009610097100100100100100100
Move Pillbottle Pad6746846193968383999910099989999100
Move Playingcard Away746596841009650471009910010010010098100
… (50 tasks) …
Click Alarmclock776898891001001009999100100100991009799
Dump Bin Bigbin88839297959194968996979697989897
Open Laptop7181909695918989929498100959999100
Place Container Plate97929995989997100999796100989799100
Place Burger Fries81769487989895909795969998979898
Place Object Stand82689185989791939996909495969698
Place Phone Stand495381818786807897979799100969895
Place Shoe76769293999795929898969997989796
Stack Bowls Two94959596989898989498929898969997
Stack Blocks Two9379971001009896941009810010010010010099
Stack Bowls Three77757771798790748683808183788890
Average (%)65.9258.4082.7476.7688.6687.0277.5677.0092.9091.5091.8891.7892.7892.2689.8490.22

C = Clean scenes, R = Randomized scenes; 100 trials per task and condition. Averages over all 50 RoboTwin 2.0 tasks.

Real-World Bimanual Manipulation

We deploy BridgeWAM on the PiPER X (SongLing) real-robot platform and evaluate four manipulation tasks — closing a laptop and picking-and-placing a drink, a pen, and a mouse — together with their out-of-distribution (OOD) settings that vary object height, type, color, position, or count. Using task-specific staged scoring, BridgeWAM reaches an average success rate of 68.92%, compared with 59.83% for Fast-WAM, while generating each action chunk in 77.1 ms on the robot. This shows that the LBQ-mediated video–action interface transfers beyond simulation and stays stable under real-world visual variation, observation noise, and execution disturbances.

Real-world manipulation tasks, success rates, and inference latency on the PiPER X platform
Real-world manipulation tasks, success rates, and inference latency. View full-resolution PDF ↗

Real-world rollout comparison

FastWAM on the left, BridgeWAM on the right. Play each task pair together or use the individual video controls.

01Close the laptop

FastWAM
BridgeWAM Ours

02Pick and place drink

FastWAM
BridgeWAM Ours

03Pick and place pen

FastWAM
BridgeWAM Ours

04Pick and place mouse

FastWAM
BridgeWAM Ours
Video presentation notes

Clips play at their original speed and are paired by task and filename index, not by frame-aligned robot trajectories. Clip lengths and fields of view can differ. FastWAM drink 0 omits its first 5 seconds; FastWAM mouse 0 and BridgeWAM drink 0/1/2 are cropped by 15% from the left. No additional crop, speed change, or time trim is applied for this comparison.

Drink has three paired settings. Pen and mouse show setting 0, the available matching FastWAM clip; additional BridgeWAM settings remain in the top-of-page showcase.

Ablation Studies

Action-head depth ablation on LIBERO and LIBERO-Plus. Report task success rates (%).

Method LIBERO LIBERO-Plus (zero-shot)
Spatial↑Object↑Goal↑Long↑Avg.↑ Spatial↑Object↑Goal↑Long↑Avg.↑
FastWAM97.899.495.494.696.8052.2169.0637.3240.0649.54
BridgeWAM (Ours)99.0100.097.496.698.2577.6484.4760.2967.1772.24
BridgeWAM 4 Layers97.2100.097.296.697.7567.4484.6354.3060.2666.56
BridgeWAM 8 Layers97.499.897.696.897.9070.6983.7649.8358.4465.50
BridgeWAM 16 Layers98.899.496.293.496.9567.9480.7052.3762.1365.66
BridgeWAM 30 Layers self-cross head97.8100.097.694.897.5569.4078.0460.0964.3167.89

Interface and video–action coupling ablations on LIBERO and LIBERO-Plus. We report task success rates (%).

Method LIBERO LIBERO-Plus (zero-shot)
Spatial↑Object↑Goal↑Long↑Avg.↑ Spatial↑Object↑Goal↑Long↑Avg.↑
FastWAM97.899.495.494.696.8052.2169.0637.3240.0649.54
BridgeWAM (Ours)99.0100.097.496.698.2577.6484.4760.2967.1772.24
BridgeWAM Frozen Video DiT87.897.084.872.485.5032.2238.5215.4416.3625.48
BridgeWAM Use MoT (text_state)98.099.497.496.497.8071.5780.7036.0954.7860.48
BridgeWAM text_state_LBQ input96.499.297.096.297.2064.7079.9844.1149.0759.29
BridgeWAM Joint97.499.696.696.897.6076.5272.1246.5159.5963.41
BridgeWAM IDM98.897.899.096.698.0576.2371.4958.5564.1967.45

Inference Efficiency

Inference efficiency on LIBERO. Both methods use a 30-layer Video DiT and are profiled on the same H20Z GPU in bfloat16 with an action horizon of 32 and 10 denoising steps.

Method Architecture Runtime-Shape FLOPs (T) Acceleration Peak Mem. (MiB)↓
VideoAction Video↓Action↓Total↓ Latency (ms)↓Speedup↑
Fast-WAM30301.0051.0432.048405.911.00×23,773.86
Faster-WAM30302.7450.4763.221321.161.26×22,962.00
BridgeWAM (Ours)3021.4320.0281.46088.054.61×21,912.21

Action-Conditioned Visual Routing

To visualize which visual information is preferentially accessed by the Action Expert, we construct an action-conditioned visual-routing map. For BridgeWAM, we use the Action Expert's attention scores over the latent bridge queries as query-importance weights and apply them to the corresponding LBQ-to-video-patch attention maps from the Video Expert. For Fast-WAM, we directly aggregate the action-to-visual-token attention across all Video-DiT layers. The resulting patch-space maps reveal the visual information preferentially routed toward action prediction; they should be interpreted as routing visualizations rather than strict causal attributions.

Action-conditioned visual routing maps

Action-conditioned visual routing maps. The top row shows Fast-WAM attention averaged across Video-DiT layers, while the bottom row shows the LBQ-mediated routing at the final Video-DiT layer of BridgeWAM. The columns cover variations in background texture, lighting, camera viewpoint, robot initial state, object layout, and sensor noise.

Conclusion

We presented Bridge-of-Experts (BoE), a differentiable Latent Bridge Query interface that aligns video representations with action prediction and enables selective retrieval by the Action Expert. Reusing the compact bridge supports independent expert depths and efficient conditioning, while our experiments validate its promise for robust, longer-horizon control across diverse settings.

Acknowledgements

We thank the anonymous reviewers for their feedback. Acknowledgements and funding information to be added.

BibTeX

@article{anonymous2027bridgewam,
  title={BridgeWAM: Does Shared Attention Align Physical World Representations with Actions?},
  author={Anonymous},
  journal={Under review},
  year={2027},
}