arXiv:2604.01216cs.LGcs.AI2026-04

从稀疏短时观测中重建完整时空动态,适用于观测受限的实时场景。

LAtent Phase Inference from Short time sequences using SHallow REcurrent Decoders (LAPIS-SHRED)

  • 分三阶段:先用仿真数据训练编码器,再学潜变量时序演化,最后联合推断完整轨迹。
  • 在六类复杂物理系统中验证,即使单帧观测也能实现高质量重构与预测。
  • 模块化设计轻量高效,适合传感器稀缺或数据获取困难的现实应用。

从空间和时间上均稀疏的观测中重建完整的时空动态,仍是复杂系统的核心挑战,因测量常存在空间不完整且仅限于短暂的时间窗口。然而,近似完整时空轨迹对机制理解、模型校准和决策至关重要。本文提出LAPIS-SHRED(LAtent Phase Inference from Short time sequence using SHallow REcurrent Decoders),一种模块化架构,可从局限于短时间窗口的稀疏传感器观测中重建或预测完整时空动态。该框架采用三阶段流程:(i) 使用仿真数据预训练的SHRED模型将传感器时间序列映射到结构化潜空间;(ii) 在仿真生成的潜轨迹上训练时序模型,学习向前或向后推演潜状态以覆盖未观测时段;(iii) 部署时仅需真实系统的一段短时超稀疏传感器测量,通过冻结的SHRED模型与时序模型联合重建或预测完整时空轨迹。该方法支持双向推断,继承数据同化与多尺度重构能力,可处理极端观测约束,包括单帧终端输入。我们在六项实验中评估了LAPIS-SHRED,涵盖湍流、多尺度推进物理、挥发性燃烧瞬态及卫星衍生环境场,验证其在观测受物理或后勤限制的操作场景下的适用性。

原文摘要 · Abstract (English)

Reconstructing full spatio-temporal dynamics from sparse observations in both space and time remains a central challenge in complex systems, as measurements can be spatially incomplete and can be also limited to narrow temporal windows. Yet approximating the complete spatio-temporal trajectory is essential for mechanistic insight and understanding, model calibration, and operational decision-making. We introduce LAPIS-SHRED (LAtent Phase Inference from Short time sequence using SHallow REcurrent Decoders), a modular architecture that reconstructs and/or forecasts complete spatiotemporal dynamics from sparse sensor observations confined to short temporal windows. LAPIS-SHRED operates through a three-stage pipeline: (i) a SHRED model is pre-trained entirely on simulation data to map sensor time-histories into a structured latent space, (ii) a temporal sequence model, trained on simulation-derived latent trajectories, learns to propagate latent states forward or backward in time to span unobserved temporal regions from short observational time windows, and (iii) at deployment, only a short observation window of hyper-sparse sensor measurements from the true system is provided, from which the frozen SHRED model and the temporal model jointly reconstruct or forecast the complete spatiotemporal trajectory. The framework supports bidirectional inference, inherits data assimilation and multiscale reconstruction capabilities from its modular structure, and accommodates extreme observational constraints including single-frame terminal inputs. We evaluate LAPIS-SHRED on six experiments spanning complex spatio-temporal physics: turbulent flows, multiscale propulsion physics, volatile combustion transients, and satellite-derived environmental fields, highlighting a lightweight, modular architecture suited for operational settings where observation is constrained by physical or logistical limitations.

时空建模稀疏观测动态重建轻量化

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