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Computational Physics and Machine Learning

About the research group

The Computational Physics and Machine Learning lab fosters the use of machine learning and advanced computational techniques for the data-driven modeling of complex systems.  Special focus is on the development of novel algorithms that can discover the governing equations underlying some phenomena starting from experimental measurements or other type of data. More broadly, we strive to advance Scientific Machine Learning with a combination of symbolic and neural approaches.

In contrast with purely data-driven methods and current trends in AI and ML, we strive to obtain trustworthy models provide guarantees on their safety and reliability, and generalize well on unseen data. To achieve these goals, we use a combination of equation-based modeling and machine learning techniques, including symbolic regression, evolutionary algorithms, reinforcement learning and deep neural networks.

Research interests

  • Data-driven discovery of mathematical models
  • Physics-Informed Neural Networks and Neural Operators
  • Data-driven closures for CFD models
  • Discrete calculus for mathematical modeling
  • Neurosymbolic algorithms for model discovery and program search
  • Graph Neural Networks for surrogate physics modeling

Applications

  • Nonlinear control of dynamical systems
  • Traffic flow forecasting
  • Data-driven turbulence modeling
  • Data-driven material characterization and constitutive modeling
  • Fracture Mechanics

Teaching activities

  • Data Science (1st semester, MSc in Mechanical Engineering)
  • Data-Enhanced Simulation for Solids (1st semester, MSc in Mechanical Engineering)
  • Advanced FEM (2nd semester, MSc in Mechanical Engineering)

Principal Investigator