Bridging the Gap: Machine Learning to Resolve Improperly Modeled Dynamics
This work addresses the challenge of inaccurate dynamics modeling for systems with complex behaviors, offering a data-driven solution that is incremental in nature.
The authors tackled the problem of improperly modeled dynamics in complex spatio-temporal systems by developing a deep learning framework that uses data from both the inaccurate model and actual observations to learn accurate state estimates. Their results demonstrate the framework's ability to provide accurate predictions in unobserved regions and for future states up to a finite horizon.
We present a data-driven modeling strategy to overcome improperly modeled dynamics for systems exhibiting complex spatio-temporal behaviors. We propose a Deep Learning framework to resolve the differences between the true dynamics of the system and the dynamics given by a model of the system that is either inaccurately or inadequately described. Our machine learning strategy leverages data generated from the improper system model and observational data from the actual system to create a neural network to model the dynamics of the actual system. We evaluate the proposed framework using numerical solutions obtained from three increasingly complex dynamical systems. Our results show that our system is capable of learning a data-driven model that provides accurate estimates of the system states both in previously unobserved regions as well as for future states. Our results show the power of state-of-the-art machine learning frameworks in estimating an accurate prior of the system's true dynamics that can be used for prediction up to a finite horizon.