Publications (6)
Discovery of Symbolic Hamiltonian Expressions with Buckingham-Symplectic Networks
Joe Germany, Joseph Bakarji, Sara Najem
Hamiltonian systems lie at the heart of modeling the physical world. Their defining scalar, the Hamiltonian, encodes both energy conservation and symplectic geometry in its phase-s…
Common Task Framework For a Critical Evaluation of Scientific Machine Learning Algorithms
Philippe Martin Wyder, Judah Goldfeder, Alexey Yermakov +11
Machine learning (ML) is transforming modeling and control in the physical, engineering, and biological sciences. However, rapid development has outpaced the creation of standardiz…
Long time dynamics of the Nernst-Planck-Darcy System on
Elie Abdo, Joe Germany, Mohammad Khalil Hamdan +1
We study ionic electrodiffusion modeled by the Nernst--Planck equations describing the evolution of ionic species in a three-dimensional incompressible fluid flowing through a…
The Seismic Wavefield Common Task Framework
Alexey Yermakov, Yue Zhao, Marine Denolle +13
Seismology faces fundamental challenges in state forecasting and reconstruction (e.g., earthquake early warning and ground motion prediction) and managing the parametric variabilit…
EML Trees Are Universal Approximators
Joe Germany, Elie Abdo, Joseph Bakarji
The recently introduced EML (Exp-Minus-Log) function acts as continuous analogue of NAND gates, providing a compositional building block capable of representing elementary function…
CTF4Nuclear: Common Task Framework for Nuclear Fission and Fusion Models
Stefano Riva, Carolina Introini, Antonio Cammi +13
The demand for clean energy is ever increasing, with new nuclear technologies presenting a complementary solution to renewable energies. However, designing and operating these syst…