Disentangling Physical Dynamics from Unknown Factors for Unsupervised Video Prediction

03/03/2020
by   Vincent Le Guen, et al.
10

Leveraging physical knowledge described by partial differential equations (PDEs) is an appealing way to improve unsupervised video prediction methods. Since physics is too restrictive for describing the full visual content of generic videos, we introduce PhyDNet, a two-branch deep architecture, which explicitly disentangles PDE dynamics from unknown complementary information. A second contribution is to propose a new recurrent physical cell (PhyCell), inspired from data assimilation techniques, for performing PDE-constrained prediction in latent space. Extensive experiments conducted on four various datasets show the ability of PhyDNet to outperform state-of-the-art methods. Ablation studies also highlight the important gain brought out by both disentanglement and PDE-constrained prediction. Finally, we show that PhyDNet presents interesting features for dealing with missing data and long-term forecasting.

READ FULL TEXT

page 1

page 3

page 6

page 7

research
12/22/2020

APIK: Active Physics-Informed Kriging Model with Partial Differential Equations

Kriging (or Gaussian process regression) is a popular machine learning m...
research
06/15/2022

Learning to Accelerate Partial Differential Equations via Latent Global Evolution

Simulating the time evolution of Partial Differential Equations (PDEs) o...
research
03/30/2022

Physics-constrained Unsupervised Learning of Partial Differential Equations using Meshes

Enhancing neural networks with knowledge of physical equations has becom...
research
08/10/2023

GPLaSDI: Gaussian Process-based Interpretable Latent Space Dynamics Identification through Deep Autoencoder

Numerically solving partial differential equations (PDEs) can be challen...
research
08/05/2022

Discovery of partial differential equations from highly noisy and sparse data with physics-informed information criterion

Data-driven discovery of PDEs has made tremendous progress recently, and...
research
03/28/2023

PDExplain: Contextual Modeling of PDEs in the Wild

We propose an explainable method for solving Partial Differential Equati...
research
10/27/2021

Taylor Swift: Taylor Driven Temporal Modeling for Swift Future Frame Prediction

While recurrent neural networks (RNNs) demonstrate outstanding capabilit...

Please sign up or login with your details

Forgot password? Click here to reset