A LITTLE IMAGINATION. A USEFUL FUTURE.

Elastic-WAM

Adaptive Spatiotemporal Imagination
for Efficient Robot Control

One refinement field decides WHEN to stop, HOW FAR to denoise, and WHERE to refresh.

Haitian Li1,2,*Tianfu Li2,3,*Xuxi Zhao2,4Zizheng Liu2,5Yangcheng Yu6Yiwen Hou1Zeyu Xiao1Mutian Xu7Ziqian Yang8Haonan Chen1Lin Shao1,2,†
1National University of Singapore2RoboScience3The Hong Kong University of Science and Technology (Guangzhou)4Zhejiang University5Harbin Institute of Technology (Shenzhen)6Tsinghua University7Nanyang Technological University8Xi’an Jiaotong-Liverpool University

* Equal contribution · † Corresponding author

Long-horizon tea preparation.

Four stages · Two arms

Complete execution

Elastic-WAM
0:001:04

Figure 1. Overview of Elastic-WAM. (a) Empirical observations reveal heterogeneous temporal refinement requirements across tasks and states, as well as varying spatial relevance to action generation. (b) So our unified spatiotemporal refinement field determines WHEN to stop world refinement, HOW FAR to advance denoising, and WHERE to refresh future video regions. (c) As a result, Elastic-WAM improves control performance and inference efficiency across simulation benchmarks and real-world long-horizon manipulation.

Abstract.

World-Action Models improve robot control by predicting future visual dynamics, but iterative video denoising incurs substantial inference overhead. Recent approaches reduce this cost through partial future denoising, yet typically rely on fixed refinement budgets. Our empirical observations reveal that preferred refinement depths vary across tasks and states, while different future regions exhibit varying relevance to action generation. Motivated by these findings, we propose Elastic-WAM, which adaptively allocates world refinement computation across temporal denoising time and spatial future space. A unified spatiotemporal refinement demand field governs when to stop world refinement, how far to advance each denoising step, and which regions to refresh. We parameterize this field with a shared temporal basis and spatial amplitudes, and learn it through a three-stage action-grounded supervised procedure. At inference, the learned field guides recurrent sparse world refinement to improve task success while reducing inference overhead. Evaluations across diverse simulation benchmarks and real-world long-horizon manipulation demonstrate state-of-the-art control performance with reduced inference latency.

01 / METHOD

One field. Three decisions.

Figure 2. Pipeline of Elastic-WAM. Top: The inference pipeline starts with dense joint refinement, followed by adaptive sparse world refinement with state-dependent denoising progression and spatial token selection. Once the world is committed, action refinement continues using the cached world representations. Bottom: The unified spatiotemporal refinement field consists of (a) a temporal branch that predicts a shared Beta distribution over denoising progression, (b) a spatial branch that estimates group-wise refinement amplitudes, and (c) a unified field that determines WHEN to commit the world, HOW FAR to advance denoising, and WHERE to refresh future.

WHEN / STOPPING

Stop world refinement.

Stop when cumulative World Commit probability reaches its threshold.

HOW FAR / PROGRESSION

Adapt the denoising step.

Set denoising distance using the shared temporal profile.

WHERE / SELECTION

Refresh relevant regions.

Refresh a fixed 96 of 196 future tokens per sparse update.

Three-stage controller training; pretrained WAM frozen.

02 / MODEL COMPARISONS

Joint-WAM vs. Elastic-WAM.

03 / QUANTITATIVE EVALUATION

Quantitative results.

57.4%RoboCasa-GR1 success
98.8%LIBERO success
73.7%LIBERO-Plus success
54.1%LIBERO-Pro success

Visualization on RoboCasa-GR1.

Long-horizon control in the real world.

Table 7. Real-world success and task progress, percent.
MethodNominalLighting OODObject OOD
SR ↑PS ↑SR ↑PS ↑SR ↑PS ↑
Fast-WAM0.012.50.05.00.010.0
Joint-WAM30.037.530.035.030.035.0
Elastic-WAM (Ours)50.057.550.052.530.047.5

Table 7. On long-horizon tea preparation, Elastic-WAM achieves the highest full-task success rate (SR, %) under nominal and lighting OOD conditions, and the highest average stage completion (PS, %) across all settings. Under object OOD, it matches Joint-WAM’s SR while achieving higher PS.

Ablations: spatial selection, temporal control & token budget

SPATIAL SELECTION · ROBOCASA-GR1

Table 5: spatial selection, success rate in percent
Refinement strategySuccess ↑
Random WHERE, K = 9653.83
All-active, K = 12855.17
FirstKV54.50
Learned WHERE, K = 9657.42

Table 5 · Adaptive temporal control except FirstKV. K: tokens refreshed per sparse update after dense initialization.

TEMPORAL CONTROL · LIBERO-PLUS

Table 6(a): temporal control, success rate in percent
Controller, learned WHERE K = 96Success ↑
WHERE-only · fixed progression & commit71.71
Fixed step · adaptive commit72.31
Adaptive progression & commit73.71

+2.00 points over spatial selection alone.

Table 6(a) · Only temporal control changes.

TOKEN BUDGET · LIBERO-PLUS

More updates are not always better.

K = 96 performs best among the tested budgets.

K = 49
72.84%
K = 96
73.71%
K = 147
71.71%
K = 196
70.92%

Table 6(b) · Adaptive temporal control; 0–100% scale.

04 / QUALITATIVE ANALYSIS

Qualitative analysis on LIBERO-Plus.

Control under noisy observations.

Figure 3. Qualitative comparison between Joint-WAM (top) and Elastic-WAM (bottom) under noisy observations in LIBERO-Plus. (a) Task outcomes. (b) Action-to-video attention maps. (c) Spatial distribution of future video token update counts. Elastic-WAM achieves successful control through selective refinement while preserving the full attention context.

ELASTIC-WAM

Useful futures.
Selective refinement.

Revisit the method