Learning Physics from Machines: Physics-Informed Machine Learning
Principal Investigator
Graduate Fellows
Brian Baillie, Harish Ravichandar, Iman Salehi
Co-Principal Investigator
Project Duration
2017 - 2018
This project aims to develop methods and toolchains for computationally efficient and precise modeling of large-scale systems. In the first year of the project, a spatially discretized heat exchanger system model with phase change was used as a testbed for exploring novel model reduction methods and constrained machine learning (ML) algorithms. These two approaches were used for the synthesis of reduced models of a heat exchanger, which were tested at nominal and T-optimal conditions (the latter being conditions within the system allowable state space that maximize the error of the reduced, machine learning or hybrid models, as compared to the original model). The project is performed in collaboration with Pratt & Whitney and UTAS, with the former leading the effort. P&W has identified the application of interest for the developed method in aerospace engine systems. There is an identified need for simplified, accurate system models for real-time applications. Therefore, the technology, methods and tools developed in the first year of the project are focused on reducing model complexity and improving model accuracy. The ongoing effort seeks to combine machine learning and model reduction techniques in order to create useful hybrid models, and to further develop the individual tools and techniques applied.
Relevant Publications
Peer Reviewed Papers
1. B. Baillie and G. Bollas. Model reduction by term elimination and optimal selection. Computer Aided Chemical Engineering, 2017: 40:277-283.
2. B. Baillie and G. Bollas. Distilling usable model structures from high-fidelity models, AIChE Journal. 2018; in preparation.
3. B. Baillie, H. Ravichandar I. Salehi, A. P. Dani, and G. Bollas “Approaches for Creation and Evaluation of Computationally Efficient Thermofluid System Models”, IFAC International Symposium on Advanced Control of Chemical Processes, 2018, submitted.
4. H. Ravichandar, I. Salehi, and A. Dani, "Learning partially contracting dynamical systems from demonstrations," in 1st Annual Conference on Robot Learning, In: Proceedings of Machine Learning Research, vol. 78, pp. 369-378
5. H. Ravichandar, I. Salehi, B. Baillie, G. Bollas, and A. Dani, "Learning Stable Nonlinear Dynamical Systems with External Inputs using Gaussian Mixture Models" American Controls Conference, 2018, submitted.
6. H. Ravichandar, I. Salehi, and A. Dani, "Learning partially contracting dynamical systems from data," IEEE Robotics and Automation Letters, 2017, in preparation.
Conference Presentations:
1. B. Baillie and G. Bollas. Term elimination and optimal experiments for model reduction. In: 2017 AIChE Annual Meeting, Minneapolis, MN, USA, 2017 (Computing And System Technology Division – CAST Director’s Award)
2. B. Baillie and G. Bollas. Model Reduction by Term Elimination and Optimal Selection. 27th European Symposium on Computer Aided Process Engineering – ESCAPE 27, Barcelona, Spain, 2017
3. H. Ravichandar, I. Salehi, and A. Dan., Learning point-to-point motions using partial contraction analysis," International Conference on Intelligent Robots and Systems, 2017. (Poster Presentation).
4. B. Baillie and G. Bollas. Approaches for Creation and Evaluation of Computationally Efficient Thermofluid System Models. 10th IFAC Symposium on Advanced Control of Chemical Processes – ADCHEM 2018, Shenyang, Liaoning, China, 2018 in review
Invited Lectures:
Workshop talk by Ashwin Dani at IEEE/RSJ International Conference on Intelligent Robots and Systems, 2017, Vancouver, Canada. Workshop title: Complex Collaborative Systems: Closing the Loop, Learning, and Self-Confidence