ProbeFlow: Training-Free Adaptive Flow Matching for Vision-Language-Action Models
Authors: Zhou Fang, Jiaqi Wang, Wenzhuo Li, Yi Zhou, Qiongfeng Shi
Organizations: School of Computer Science and Engineering, Southeast University, China · Key Laboratory of New Generation Artificial Intelligence Technology and Its Interdisciplinary Applications, Ministry of Education, China · School of Electronic Science & Engineering, Southeast University, China
Vision-Language-Action (VLA) policies increasingly use Flow Matching (FM) action heads to generate action chunks as continuous trajectories. At inference, an FM head solves an ordinary differential equation (ODE): starting from a prior action latent, it repeatedly queries a learned velocity field to advance the state toward the decoded action chunk. Because each query depends on the preceding state, this iterative decoding can impose substantial sequential action-head cost at deployment. We propose ProbeFlow, a training-free framework that routes each action chunk to an integration schedule using a Lookahead Consistency Probe. Optional oscillation-conditioned (OSC) threshold adaptation reuses the same velocity evaluations and can trade part of the acceleration for potentially better task performance. On MetaWorld, the fixed-threshold configuration uses 2.60 scheduled steps (2.92 action-head evaluations) and reports 15.9 ms action-head latency, versus 235.7 ms for 50-step Euler, while obtaining 83.2% success versus 82.5%. On LIBERO, it uses 4.53 scheduled steps (5.09 action-head evaluations), reports 32.7 ms, and obtains 88.7% success, compared with 278.7 ms and 92.5% for 50-step Euler. We also evaluate OSC on three real-world manipulation tasks with 50 trials per method and task. These evaluations characterize action-decoding compute-performance trade-offs without additional training.
Figures & tables
Fig. 1: Overview of the proposed ProbeFlow framework. Left: A conditional action flow is integrated from a prior state to an action chunk. Middle: The Lookahead Consistency Probe compares initial and lookahead velocity directions through cosine similarity S , which the scheduler maps to an adaptive step count N under a deployment latency budget; optional OSC maps a sign-change ratio to an effective threshold. Right: High directional consistency ( S≈1 ) selects a coarse schedule that reuses the two probe evaluations; lower consistency selects a denser schedule.
Method
Reported Count
Flow Solver (ms) ↓
Success Rate (%) ↑
Fixed-Euler ( N=50 )
50.0
235.7
82.5
Fixed-Euler ( N=20 )
20.0
99.2
80.6
Fixed-Euler ( N=10 )
10.0
53.4
81.6
Fixed-Euler ( N=3 )
3.0
23.7
72.4
Fixed-Euler ( N=2 )
2.0
13.2
68.5
RK45
68.9
2823.8
63.0
TABLE I: Action-head latency and success rate on MetaWorld. Fixed-threshold and baseline rows aggregate 5 seeds; the OSC row aggregates 3 seeds. For ProbeFlow rows, the parenthesized value is the measured average NFE; all probe evaluations are included in action-head latency. Visual encoding is excluded because ProbeFlow does not modify the visual encoder.
Method
Reported Count
Flow Solver (ms) ↓
Success Rate (%) ↑
Fixed-Euler ( N=50 )
50.0
278.7
92.5
Fixed-Euler ( N=20 )
20.0
109.3
92.3
Fixed-Euler ( N=10 )
10.0
54.5
89.0
Fixed-Euler ( N=5 )
5.0
34.0
86.9
Fixed-Euler ( N=4 )
4.0
26.1
83.2
RK45
101.2
3769.3
91.2
TABLE II: Action-head latency and success rate on LIBERO. Fixed-threshold and baseline rows aggregate 5 seeds; the OSC row aggregates 3 seeds. For ProbeFlow rows, the parenthesized value is the measured average NFE; all probe evaluations are included in action-head latency. Visual encoding is excluded because ProbeFlow does not modify the visual encoder.
Fig. 2: Task-level directional consistency and scheduled integration counts on MetaWorld MT50 at Δtprobe=0.5 , ϵ=0.008 , with OSC disabled. Each point represents one task, averaged equally over five seeds with ten episodes per task and seed. Error bars denote standard deviations across seed-level means.
Fig. 3: Qualitative examples of adaptive step scheduling for two MetaWorld rollouts. Top: In the shown Basketball rollout, the selected schedules contain more steps (red) around object interaction and insertion. Bottom: In the shown Button Press rollout, the selected schedules often use the minimum step count (blue) during transit. Colors visualize the selected schedules.
Model
Benchmark
Fixed Steps
Fixed Success
OSC Success
Δ Success
OSC Avg. N
Evo-1
MetaWorld
10
81.6%
84.0%
+2.4 pp
3.84
Evo-1
LIBERO
10
89.0%
89.25%
+0.25 pp
5.55
OpenPI / PI0.5
LIBERO-90
10
27.97%
28.26%
+0.29 pp
2.32
OpenPI / PI0.5
LIBERO-object
10
100.0%
99.0%
-1.0 pp
2.02
OpenPI / PI0.5
LIBERO-goal
10
97.0%
96.33%
-0.67 pp
2.02
OpenPI / PI0.5
LIBERO-10
10
91.0%
94.0%
+3.0 pp
2.04
TABLE III: Fixed-step reference versus OSC with rref=0.02 . OSC results aggregate 3 seeds; the Evo-1 fixed-step references are the 5-seed results from Tables I and II . Differences are descriptive comparisons, not paired estimates of the effect of enabling OSC. ‘–’ denotes an unavailable measurement. ‘OSC Avg. Integration N ’ is reported only when the implementation exposes an adaptive integration schedule; fixed denoising-loop lengths are not relabeled as adaptive steps. For Evo-1, N is a scheduled integration count and the corresponding action-head NFE follows the convention stated in Sec. IV-B . The OpenPI/PI0.5 LIBERO-90 result uses 900 episodes per seed; suite-level results use the corresponding evaluation episodes.
Domain
Threshold ϵ
Avg. Scheduled N
Action Head (ms) ↓
Success Rate (%)
MetaWorld
0.001
15.7
90.6
82.8
MetaWorld
0.002
8.6
47.3
81.1
MetaWorld
0.004
4.6
28.4
82.7
MetaWorld
0.008
2.6
15.9
83.2
LIBERO
0.001
19.7
135.1
91.6
LIBERO
0.002
14.1
104.4
92.0
TABLE IV: Sensitivity analysis of the directional-deviation tolerance ϵ across MetaWorld and LIBERO, aggregated over 5 seeds with 10 episodes per task and seed. ‘Avg. Scheduled N ’ is the selected integration schedule; measured action-head latency includes the probe evaluation.
Task
Method
Success
95% Wilson CI
Solver (ms)
Steps
Obs. Δ (normalized)
Obs. jerk (normalized)
pick-place fruit
π0.5
82%
69.2–90.2%
183.9
10.0
0.06
0.03
pick-place fruit
π0.5
84%
71.5–91.7%
354.7
20.0
0.055
0.025
pick-place fruit
π0.5
84%
71.5–91.7%
885.0
50.0
0.050
0.020
pick-place fruit
ProbeFlow OSC
90%
78.6–95.7%
59.6
2.6
0.07
0.04
flip mug
π0.5
52%
38.5–65.2%
185.3
10.0
0.04
0.03
flip mug
π0.5
54%
40.4–67.0%
357.0
20.0
0.035
0.025
TABLE V: Multi-task real-world evaluation with 50 trials per method and task. Success rates and 95% Wilson intervals are computed from the number of successful trials out of 50. The reported steps are averaged across episodes.
Fig. 4: Probe-horizon ablation on MetaWorld (MT50). Points show means over five seeds; error bars denote standard deviations. The average scheduled integration count (dashed orange) generally increases with the probe horizon, while success-rate means (solid blue) range from 83.2% to 84.0% for horizons from 0.5 to 0.8.
Fig. 5: Representative real-world manipulation sequences. Each row shows the temporal progression of one task under ProbeFlow .