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Human Motion Prediction Under Unexpected Perturbation
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Proposes Latent Differentiable Physics (LDP), combining an explicit differentiable inverted pendulum model with CVAE-based skeleton restoration, to predict human motion under unexpected physical perturbation in single- and multi-person settings from very little data.
Problem
Predicting human reactive motions under unexpected physical perturbation, including how pushes propagate through groups, where data is extremely scarce and interactions/forces are unobserved.
Approach
Maps full-body poses into a low-dimensional latent inverted pendulum model (IPM) state, simulates it with a differentiable physics model (balance-recovery PD control, friction, learned interaction forces), and recovers full-body poses with CVAE-based restoration networks, giving data efficiency and explainability.
Key results
- On single-person prediction, LDP improves MPJPE by up to 25.38% over the best baseline (MPJPE 0.097 vs siMLPe 0.130).
- On multi-people prediction, LDP outperforms all baselines by at least 34.57% on MPJPE (0.106 vs best 0.162 for MRT).
- Ablation shows removing the IPM guidance degrades MPJPE from 0.110 to 0.217 in the full-body setting.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add differentiable IPM guidance instead of predicting poses directly (ablation) | LDP · single-person | MPJPE: 0.217 -> 0.110 | Helped |
| Add differentiable IPM guidance instead of predicting poses directly (ablation) | LDP · single-person | FSE: 0.196 -> 0.126 | Helped |
| Separate lower- and upper-body pose reconstruction (ablation) | LDP with IPM · single-person | FSE: 0.126 -> 0.069 | Helped |
| Separate lower- and upper-body pose reconstruction (ablation) | LDP without IPM · single-person | FSE: 0.196 -> 0.313 | Hurt |
| Use LDP rather than the strongest baseline | single-person prediction · single-person | MPJPE: 0.130 -> 0.097 | Helped |
| Use LDP rather than the strongest baseline | multi-people prediction · multi-people | MPJPE: 0.162 -> 0.106 | Helped |
Surprising findings
- Removing the IPM guidance makes separate lower/upper body restoration ineffective, with FSE getting worse (0.313 vs 0.069 with IPM).
Limitations
- Requires explicit physical modelling, making it less general than black-box networks that are plug-and-play on data.
- Interaction forces between people are not measured in the data and must be learned as latent variables.
Experimental setup
Datasets: FZJ Push
Benchmarks: FZJ Push
Metrics: MPJPE hipADE hipFDE MBLE FSE
Baselines: A2M ACTOR MDM RMDiffuse PhyVae siMLPe EqMotion MRT DuMMF TBIFormer JRFormer
Builds on: inverted pendulum model differentiable physics CVAE siMLPe EqMotion
Closest papers by meaning
- Physical Plausibility-aware Trajectory Prediction via Locomotion Embodiment (CVPR 2025 · similarity 0.86)
- Existence Is Chaos: Enhancing 3D Human Motion Prediction with Uncertainty Consideration (AAAI 2024 · similarity 0.85)
- LAL: Enhancing 3D Human Motion Prediction with Latency-aware Auxiliary Learning (CVPR 2025 · similarity 0.85)
- PhysPT: Physics-aware Pretrained Transformer for Estimating Human Dynamics from Monocular Videos (CVPR 2024 · similarity 0.84)
- SimpliHuMoN: Simplifying Human Motion Prediction (NeurIPS 2026 · similarity 0.84)
- Homogeneous Dynamics Space for Heterogeneous Humans (CVPR 2025 · similarity 0.84)
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