Risk Decomposition for Hallucination-Aware Video Sampling
Organizations: Zhejiang University · Nanyang Technological University · Tsinghua University · Tongyi Lab, Alibaba Group
Abstract
Despite achieving high visual fidelity, video models still suffer from physical hallucinations, limiting their reliability as world simulators. Existing methods leverage model-internal or external signals to improve physical plausibility, but their roles and limitations require a unified explanation. We propose a two-dimensional physical-hallucination risk framework that defines low-density sampling risk and high-density drifting risk. The first risk captures generations assigned low likelihood by the video model, for example, a ball suddenly teleporting despite the model favoring continuous motion, while the second risk captures physical inconsistencies in high-likelihood generations, for example, a ball bouncing progressively higher without additional energy. Our analysis explains how model-internal signals steer sampling toward higher-density regions of the learned distribution to address low-density sampling risk. However, higher model likelihood does not guarantee physical plausibility, motivating external guidance to address high-density drifting risk. Based on this framework, we develop Hallucination-Aware Sampler (HA-Sampler), which applies external physical guidance within latent refinement to generate physically plausible videos, and HA-Scorer, which derives a likelihood-based signal from the generator itself for evaluating generated videos using continuous normalizing flow (CNF), with coarse ODE integration and finite-difference divergence estimates. Experiments on Physics-IQ and VideoPhy benchmarks support our theoretical analysis and demonstrate that our methods outperform the compared sampling and scoring SOTA baselines.
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Supplementary material from the paper’s appendix.
Appendix
| Sampler | BoN | Random | WMReward | GeoPhys | Qwen3-VL | HA-Scorer (ours) |
| Base sampler | 2 | 27.74 | 28.84 | 26.57 | 27.73 | 28.99 |
| 4 | 27.45 | 30.75 | 26.50 | 28.64 | 30.77 | |
| 8 | 26.38 | 30.51 | 25.67 | 28.18 | 30.88 | |
| P&P sampler | 2 | 27.28 | 28.79 | 27.08 | 28.33 | 29.38 |
| 4 | 27.09 | 29.88 | 26.34 | 28.42 | 30.48 | |
| 8 | 27.02 | 30.64 | 26.97 | 28.74 | 31.40 |
| Sampler | Risk Decomposition | Risk/dim | ||
| Prior term | Volume term | Risk/dim | ||
| Euler | 1.10503 | -2.54120 | -1.43617 | 0.00000 |
| C-TAG ( ) | 1.22623 | -2.76701 | -1.54079 | -0.10462 |
| P&P | 1.21343 | -2.68283 | -1.46940 | -0.03323 |
| CFG | 1.21803 | -2.70666 | -1.48863 | -0.05246 |
| WMReward ( ) | 1.22506 | -2.21974 | -0.99468 | +0.44149 |
| Sampler | Risk | Risk |
| Base (CFG ) | 0.414941 | 0.000000 |
| P&P | 0.415273 | +0.000332 |
| WMReward ( ) | 0.414746 | -0.000195 |
| HA-Sampler (ours) | 0.414180 | -0.000761 |