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My group develops solver-informed artificial-intelligence (AI)-enabled methods that enable efficient partial differential equation–constrained optimization (PDE-CO): a unifying mathematical framework for most engineering design problems, from optics and mechanics to transport and materials. Our goal is to make AI and physics co-evolve, so that learning and computation accelerate one another, while removing redundancies of the state of the art. In this Engineering + AI paradigm, we integrate the nonlinear fitting power of neural networks with the generalization capability of numerical solvers to design physical systems more efficiently, interpretably, and at unprecedented scale.
I train both undergraduate and graduate students. My teaching covers topics in numerical methods and scientific machine learning.
Marzban R, Adibi A, Pestourie R "Inverse Design in Nanophotonics via Representation Learning," Advanced Optical Materials, 2025
M. R. Peters, D. Mojahed, W. Ma, R. Pestourie, T. Gu, S. G. Johnson, J. Hu "Integrated photonic spectrometers: a critical review." Photonics Insights, 4(4), R10-R10, 2025.
R. Marzban, H. Abiri, R. Pestourie†, A. Adibi† “HiLAB: A Hybrid Inverse-Design Framework.” Small Methods, 2025
R. Pestourie “Fast approximate solvers for metamaterials design in electromagnetism.” IEEE Antennas and Propagation Magazine, 2025
W. Ma, R. Pestourie, SG Johnson, "Time-reversal-symmetry bounds on electromagnetic fields" Physical Review Applied, 2025
W. Ma, R. Pestourie, et al. "Multiplicative resonant enhancement of chemical detection" Physical Review Applied, 2024
R. Pestourie, et al. "Physics-enhanced deep surrogates for partial differential equations," Nature Machine Intelligence, 2023
Z. Li*, R. Pestourie*, et al. "Inverse design enables large-scale high-performance meta-optics reshaping virtual reality," Nature Communications, 2022
R. Pestourie et al. "Active learning of deep surrogates for PDEs: Application to metasurface design," npj Computational Materials, 2020
R. Pestourie, et al., “Inverse design of large-area metasurfaces,” Optics Express, 2018