Organizations: School of Computer Science, Peking University, Beijing, China. · School of Software Engineering, South China University of Technology, Guangzhou, China. · School of Artificial Intelligence, Beijing Normal University, Beijing, China. · School of Electronics Engineering and Computer Science, Peking University, Beijing China.
Vision-language-action (VLA) models achieve favorable task performance, yet runtime errors in closed-loop execution evolve with alternating updates of actions and observations. Existing VLA quantization methods mainly trade off inference speed and model performance while rarely investigating how quantization alters runtime errors. By comparing error distributions between full-precision and quantized models, we identify distinct evolutionary patterns for the two types of errors: quantization enlarges the variance of translation error distributions and increases their dispersion, whereas the distribution center of rotation errors gradually shifts across execution steps, demonstrating cumulative drift. Motivated by this observation, we rethink the optimal quantization strategy for VLA models and propose \textit{DyQ-VLA}, a runtime-error-aware quantization framework, which dynamically selects activation precision according to execution steps and tracks as well as compensates rotation errors via accumulated quantization residuals. Corresponding operators and runtime adaptation strategies are devised within the framework to enable dynamic-precision execution. Experiments show that \textit{DyQ-VLA} achieves a 1.88 to 1.93 inference speedups while maintaining comparable or higher average task success rates. Moreover, it reduces mean execution steps by 17.7% to 19.8%. Our code is here: https://anonymous.4open.science/r/DyQ-VLA-7F51/.
Figures & tables
Figure 1: Action-Error Correlation and DyQ-VLA Overview. (a) Runtime errors and actions interaction of VLA Models. (b)Runtime-Error-Aware VLA Quantization Framework – DyQ-VLA .
Figure 2: Action–Error Correlation in Closed-Loop VLA Execution. (a) Runtime errors alter observations and subsequent actions, which in turn change runtime errors. (b) Joint distributions of correlation changes in both center and shape across steps. (c) The distribution for translation remains dispersed around a stable center, while rotation stays concentrated and shifts toward larger errors.
Figure 3: Quantization Effects and Online Tracking. (a) Quantization increases translation error variance and response sensitivity. (b) Rotation error distributions and sensitivity change only slightly. (c) Residual and feedback metrics track rotational error and translational sensitivity, respectively.
Figure 4: Framework of DyQ-VLA . Runtime feedback guides dynamic activation quantization for translation error control, while cumulative residuals guide rotation error compensation.
Method
Prec.
RoboTwin 2.0 / π0.5
LIBERO
Clean
Randomized
Steps ↓
Speedup ↑
π0.5
GR00T-N1.5
SR ↑
Trans.
Rot.
SR ↑
Trans.
Rot.
Step
Rollout
Step
Rollout
Mem. ↓
Step
Rollout
Mem. ↓
BF16 ref.
BF16
82.7
32.53
8.77
76.8
39.82
12.27
155.7
1.00
1.00
1.00
1.00
6.71
1.00
1.00
5.45
ActQuant
W4A16
80.9
41.65
12.10
74.2
52.38
16.48
186.4
1.11
0.93
1.10
0.92
2.63
1.09
0.94
4.03
QVLA
W4A16
80.5
42.18
10.92
73.7
51.74
15.28
188.2
1.09
0.90
1.08
0.89
2.70
1.07
0.93
4.10
QuantVLA
W4A8
81.4
40.36
15.24
74.9
50.81
20.31
181.7
1.30
1.11
1.32
1.13
3.50
1.23
1.09
4.27
Table 2: Task Performance and Inference Efficiency on RoboTwin 2.0 and LIBERO.
Figure 5: Real-World Setup and Task Examples. Details can be found in Appendix F .
Method
Prec.
Short-horizon
Multi-stage
SR (%) ↑
Task Spd. ↑
Banana
Cup
Banana
Apple
Orange
Ordered
Plate
Insertion
Cup
Plate
Packing
Placement
BF16 ref.
BF16
9/10
6/10
8/10
8/10
7/10
7/10
75.0
1.00
QuantVLA
W4A8
8/10
6/10
8/10
8/10
6/10
5/10
68.3
1.16
ActQuant
W4A16
8/10
6/10
8/10
8/10
6/10
5/10
68.3
1.08
QVLA
W4A16
8/10
4/10
8/10
8/10
5/10
5/10
63.3
1.04
Table 3: Real-world performance of DyQ-VLA , quantization baselines, and the BF16 reference.
Appendix figures & tables9 assets
Supplementary material from the paper’s appendix.
Appendix
Figure 8: Trajectory Visualizations of Runtime Error Dynamics and Their Behavioral Impact. (a) FP reference, open-loop evaluation, and closed-loop execution trajectories. (b) Identical action offsets at different steps, with trajectories projected onto the yz plane. (c) Offsets of equal magnitude in different directions at the same step.
Figure 9: Action-Error Distributions Across Models and Benchmarks.
Figure 10: Tracking Rotational Runtime Error. (a) Spearman correlation with rotational runtime error. (b) Spearman correlation between signal changes and error changes. (c) NRMSE of normalized changes for error decreases ≥0.5∘ ; the dashed line marks the zero-change baseline. Dots denote trajectories; boxes show medians and interquartile ranges, with 1.5IQR whiskers.
Figure 12: Implementation details of the Proposed DyQ-VLA Framework.
Figure 13: Error Densities.
Figure 14: Real-World Platform And End-Effector Configurations. (a) Tabletop Workspace And Hardware Components. (b) Configurations for Demonstration Collection And Task Execution.
Resource
Setting
Scope
Primary Role
OXE
Real-world
Demonstrations across multiple robot embodiments
Robot learning data
RoboCasa
Simulation
Household manipulation in kitchen environments
Task environments and demonstration data
SimplerEnv
Simulation
Manipulation setups corresponding to real robots
Policy evaluation in simulation
Our setup
Real-world
Six tabletop tasks on a single robotic platform
Task success and completion-time evaluation
Appendix
Table 6: Overview of Robotic Data And Evaluation Settings.
Task Group
Task
Objective
Short-horizon
Banana plate
Place the banana on the beige plate.
Cup insertion
Insert one cup into the other cup.
Banana cup
Insert the banana into the cup.
Apple plate
Place the apple on the plate.
Multi-stage
Orange packing
Place the orange in the case and close the lid.
Ordered placement
First place the apple on the beige plate, then place the banana on the blue plate.
Appendix
Table 7: Real-World Tasks And Objectives.
Figure 15: Representative Real-World Task Sequences. The examples show banana insertion, apple placement, and ordered placement of the apple and banana on their respective plates.