Phys-JEPA: Physics-Informed Latent World Models for Multivariate Time-Series Forecasting
Summary
Phys-JEPA introduces a physics-informed joint-embedding predictive architecture designed for multivariate time-series forecasting in physical systems. This model learns a latent world model where predictive states are explicitly decomposed into physical and residual components. Unlike traditional approaches that apply physical constraints only at the decoded-output level, Phys-JEPA imposes physical consistency directly on its latent states and latent transitions. This formulation leverages known physical variables to structure the representation space while maintaining capacity for unresolved dynamics. On the Jena Climate 2009--2016 dataset, Phys-JEPA reduced aggregate MSE from 0.12482 to 0.12273 and temperature MSE from 0.01892 to 0.01831 at H=24. For Traffic data, it improved aggregate MSE, reducing H=192 MSE from 0.800784 to 0.773873. On Electricity, performance varied by horizon, with full Phys-JEPA achieving the best aggregate and target-variable MSE at H=192.
Key takeaway
For Machine Learning Engineers developing time-series forecasting models for physical systems, you should consider integrating physics-informed constraints directly into your model's latent state space. This approach, exemplified by Phys-JEPA, can yield more interpretable temporal world models and improve predictive accuracy. Explore decomposing your latent states into physical and residual components to better organize representation space and enhance forecasting performance.
Key insights
Phys-JEPA improves multivariate time-series forecasting by imposing physical consistency directly on latent states and transitions.
Principles
- Decompose latent states into physical and residual parts.
- Organize representations using known physical variables.
- Apply consistency to latent states, not just outputs.
Method
Phys-JEPA learns a latent world model by decomposing predictive states into physical and residual components, imposing physical consistency directly on latent states and transitions.
In practice
- Regularize latent representations with physical laws.
- Employ joint-embedding architectures for structured learning.
- Test model variants across diverse forecasting horizons.
Topics
- Multivariate Time-Series Forecasting
- Physics-Informed Machine Learning
- Latent World Models
- Joint-Embedding Architectures
- Predictive Analytics
- Model Interpretability
Best for: AI Scientist, Machine Learning Engineer, Research Scientist
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Editorial summary, takeaway, and curation by AIssential. Original article published by Artificial Intelligence.