We introduce the challenging problem of multi-object system identification from videos, for which prior methods are ill-suited due to their focus on single-object scenes or discrete material classification with a fixed set of material prototypes. To address this, we propose MOSIV, a new framework that directly optimizes for continuous, per-object material parameters using a differentiable simulator guided by geometric objectives derived from video. We also present a new synthetic benchmark with contact-rich, multi-object interactions to facilitate evaluation. On this benchmark, MOSIV substantially improves grounding accuracy and long-horizon simulation fidelity over adapted baselines, establishing it as a strong baseline for this new task. Our analysis shows that object-level fine-grained supervision and geometry-aligned objectives are critical for stable optimization in these complex, multi-object settings. The source code and dataset will be released.
Figures & tables
Figure 1: From multi-view observations of multi-object scenes (left), prior approaches select from a fixed library of expert constitutive models via categorical prediction, leading to visually implausible and weakly calibrated physics dynamics. MOSIV instead performs geometric reconstruction, per-object system identification of continuous constitutive parameters, enabling both faithful reproduction of observed interactions and accurate prediction of future behaviors (right).
Figure 2: (1) Geometric reconstruction. From multi-view RGB videos, we reconstruct object geometry and disentangle material-specific motion via optimizing 4D Gaussian Splatting (4DGS) with object masks. (2) Continuum simulation. The reconstructed Gaussians are lifted into object-specific continuums, which serve as the initial states for a differentiable MPM. Geometry-aligned losses on surfaces and silhouettes drive physics parameter optimization under inter-material contact and friction. (3) Applications. The calibrated model generalizes to novel interaction scenarios, enabling physically faithful rollouts and long-horizon predictions of complex multi-object dynamics.
Figure 3: Novel Interaction. Left—MOSIV original GT video sequence. Right—rollout after swapping object physics parameters while keeping initial conditions unchanged. Rows show time.
Figure 4: Qualitative comparison of multi-object interactions. The first four columns shows a plasticine–fluid (P–F) example; the last four columns shows a sand–sand (S–S) example.
Figure 5: Qualitative comparison between MOSIV and baselines.
Figure 6: Qualitative comparison of trajectory. The trajectories illustrate how well each method captures long-term dynamics.
Supervision Granularity
LCD
Lα
PSNR ↑
SSIM ↑
CD ↓
EMD ↓
Scene-wise losses (naive)
✗
✓
26.59
0.964
53.21
0.132
✓
✗
27.59
0.959
40.29
0.119
✓
✓
27.89
0.968
22.13
0.091
Object-aware losses (ours)
✗
✓
30.18
0.975
0.985
0.045
✓
✗
29.86
0.975
1.17
0.043
✓
✓
30.24
0.977
0.696
0.041
Table 3: Supervision granularity ablation. Comparison of scene-wise vs. object-wise supervision while toggling the Chamfer term LCD and silhouette term Lα .
Young’s Modulus (E)†
Poisson’s Ratio (ν)†
Density (ρ)†
Elastic
[4.75×104,5.25×104]
[20,30]
[800,1200]
Elastoplastic
[4.75×104,5.25×104]
[20,30]
[800,1200]
Snow
[4.75×104,5.25×104]
[20,30]
[800,1200]
Liquid
[4.75×104,5.25×104]
[20,30]
[800,1200]
Shear Modulus (μ)†
Yield Stress Range (τY)
Friction Angle (θ)
Elastic
–
–
–
Table 4: Physical parameter values for objects in the Genesis Multi-Object Dataset (10 Geometry Shapes)
Figure 7: MOSIV Dataset (2 Objects) Example.
Figure 8: MOSIV Dataset (3 Objects) Example.
Metric \ Method
CoupNeRF ∗
OPGS
MOSIV
Training Time (s) ↓
9591.09
5263.70
5021.46
Peak GPU Memory (GB) ↓
31.14
61.08
29.79
Table 6: Runtime and memory cost
Observable Simulation
Future Simulation
Method
PSNR ↑
SSIM ↑
CD ↓
EMD ↓
PSNR ↑
SSIM ↑
CD ↓
EMD ↓
MOSIV
23.98
0.941
2.401
0.043
19.81
0.904
5.800
0.095
Table 7: Quantitative Evaluation of MOSIV Dataset Extension
Observable Simulation
Future Simulation
Noise level( α )
PSNR ↑
SSIM ↑
CD ↓
EMD ↓
PSNR ↑
SSIM ↑
CD ↓
EMD ↓
0.005
27.86
0.96
0.22
0.03
27.47
0.96
0.29
0.03
0.020
26.06
0.95
0.41
0.03
25.43
0.95
0.52
0.05
0.050
23.73
0.94
1.27
0.05
23.39
0.93
1.72
0.07
Table 8: Sensivity analysis of i.i.d. noise
Observable Simulation
Future Simulation
Noise level ( α )
PSNR ↑
SSIM ↑
CD ↓
EMD ↓
PSNR ↑
SSIM ↑
CD ↓
EMD ↓
0.005
27.82
0.96
0.24
0.03
27.43
0.96
0.35
0.03
0.020
26.17
0.95
0.38
0.03
25.57
0.95
0.49
0.04
0.050
23.92
0.93
1.14
0.04
23.52
0.93
1.50
0.06
Table 9: Sensitivity analysis of shared noise
Figure 9: Qualitative Comparison with material type elastic/fluid (E/F).
Figure 10: Qualitative Comparison with material type elastic/plasticine (E/P).
Figure 11: Qualitative Comparison with material type elastic/sand (E/S).
Figure 12: Qualitative Comparison with material type fluid/sand (F/S).
Figure 13: Qualitative Comparison with material type plasticine/fluid (P/F).
Figure 14: Qualitative Comparison with material type sand/plasticine (S/P).
Figure 15: Qualitative Comparison with material type fluid/fluid (F/F).
Figure 16: Qualitative Comparison with material type plasticine/plasticine (P/P).
Figure 17: Qualitative Comparison with material type elastic/elastic (E/E).
Figure 18: Qualitative Comparison with material type sand/sand (S/S).
Unsupervised physical parameter estimation from video lacks a common benchmark: existing methods evaluate on non-overlapping synthetic data, the sole real-world dataset is restricted to single-body systems, and no established protocol addresses governing-equation identification. This work introduces IRIS, a high-fidelity benchmark comprising 240 real-world videos captured at 4K resolution and 60fps, spanning both single- and multi-body dynamics with independently measured ground-truth parameters and uncertainty estimates. Each dynamical system is recorded under controlled laboratory conditions and paired with its governing equations, enabling principled evaluation. A standardized evaluation protocol is defined encompassing parameter accuracy, identifiability, extrapolation, robustness, and governing-equation selection. Multiple baselines are evaluated, including a multi-step physics loss formulation and four complementary equation-identification strategies (VLM temporal reasoning, describe-then-classify prompting, CNN-based classification, and path-based labelling), establishing reference performance across all IRIS scenarios and exposing systematic failure modes that motivate future research. The dataset, annotations, evaluation toolkit, and all baseline implementations are publicly released.
Video world models must preserve the visual state of the world over time, but existing evaluation protocols often rely on generated histories, video reference, or selected revisit viewpoints that can confound the assessment of a model's true memory capability. To address this, we introduce OPIS, an input-grounded benchmark that strictly anchors the assessment to a fixed set of object instances from the initial observation for evaluating multi-object memory in video world models. The OPIS dataset comprises 500 cases across real-world, embodied-robotic, and game-world domains, providing dense object-level annotations for 12,672 rigid, articulated, and deformable instances. Our object-centric evaluator combines association and explicit visibility reasoning to hierarchically measure Object (O) Presence (P), Identity (I), and Structure (S), utilizing static or dynamic evaluation tracks based on object kinematics. Across eight image-to-video or camera-conditioned world models, our proposed OPIS scores range from 48.65 to 56.01. As the reference inventory grows from less than 20 to more than 40 objects, the Presence, Identity, and Structure scores show an overall decline, with the average Identity score falling from 40.22 to 23.11. The results demonstrate that preserving the particular object instances in the input is considerably harder than generating plausible visual elements.
Reconstructing simulation-ready deformable objects is important for vision, graphics, and robotics. Existing physics-driven methods can recover physical digital twins from videos, but they suffer from two fundamental limitations: they typically assume a homogeneous material across the whole object, and their scene-specific inverse optimization, combined with the inherent ambiguity of monocular observation, yields inconsistent parameters for the same material across different scenes or interactions. We propose MatPhys, a material-aware feed-forward framework that predicts spring-mass parameters from a single-view video, addressing these two issues with two coupled designs. To relax the homogeneous material assumption, we use DINO features to decompose the object into semantically meaningful parts and to query a part-level material prior, assigning each part its own physical behavior. To enforce cross-scene consistency, we introduce a learned material codebook of shared material embeddings as the bridge between appearance and physics, and further use the part-level prior as a reference distribution that constrains the decoder so that the same material yields consistent parameters across scenes and interactions. Together, these designs turn an under-constrained monocular problem into feed-forward inference grounded on shared, reusable material concepts. Experiments show that our method matches per-scene optimization baselines in reconstruction and future prediction, while achieving stronger generalization to unseen interactions and objects with more consistent physical parameters.
Yang Yang, Yiyan Wang, Zheming Liu +1
1The University of Osaka · 3Huawei Technologies Japan K.K. · 2The University of Tokyo