用单一神经网络实现物理动态的快速预测,还能自动识别突发剧烈变化区域。
Hybrid Neural World Models

- 单个网络通过连续时域条件训练,一步预测任意未来状态。
- 预测误差图能精准定位冲击、界面和接触点,误差比现有方法更低。
- 适合需要高速模拟且关注异常区域的科学计算与工程仿真场景。
神经代理模型可显著加速物理动态模拟,但在激波、前沿和接触等剧烈变化处会无声失效。本文提出混合神经世界模型:一种在物理状态空间中训练和部署多时域代理的方案,使用单一网络结合连续时域条件,通过直接监督文本参考求解器,在一次前向传播中预测任意未来时刻T的状态。尽管训练数据、损失函数或架构均未显式监督不连续位置,训练后的代理能隐式编码该信息,仅通过前向传播即可生成每条轨迹的误差图,其在激波、前沿和接触处集中,其他区域则保持较小。该误差图性能优于或相当标准无标签基线方法(如深度集成、学习误差头、梯度幅值指标、自适应置信区间),且仅需单个训练网络,无需校准集或控制方程知识。该方法支持两种运行模式:模式1独立运行以获得最大吞吐量,在偏微分方程环境中相比文本求解器实现26倍至72倍的CPU加速;模式2利用误差图触发参考求解器回退,推迟不确定轨迹,使代理残差误差大致减半。该方案无需修改即可适用于反应-扩散、可压缩欧拉和刚体碰撞动力学。
原文摘要 · Abstract (English)
Neural surrogates promise large speedups over classical solvers for physical dynamics but fail silently at sharp dynamical events such as shocks, fronts, and contact. We present hybrid neural world models for physical dynamics: a recipe for training and deploying multi-horizon surrogates in physical state space, where a single network with continuous horizon conditioning is trained with direct supervision against textbook reference solvers to predict any future state at horizon T in one forward pass. Although no part of the training data, loss function, or architecture supervises discontinuity location, the trained surrogate encodes it implicitly, recoverable from its forward passes alone as a per-trajectory error map that concentrates on shocks, fronts, and contacts, and stays small elsewhere. The map is competitive with or better than standard label-free baselines including deep ensembles, learned error heads, gradient-magnitude indicators, and locally-adaptive conformal prediction, while using only a single trained network and requiring no calibration set or governing-equation knowledge. The recipe supports two operating points. Mode 1 runs the surrogate alone for maximum throughput, with same-hardware CPU speedups of 26x to 72x against textbook solvers on the PDE environments. Mode 2 uses the error map to gate a reference-solver fallback, deferring uncertain trajectories and roughly halving the surrogate's residual error at the default operating point. The recipe applies without modification across reaction-diffusion, compressible Euler, and rigid-body collision dynamics.
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