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portfolio
Neural Network-Based Modeling of Ultrafast Laser-Induced Heat Transfer in Thin Films
In this project, I developed an artificial neural network (ANN) framework to simulate ultrafast heat conduction in double-layered metallic thin films subjected to ultrashort-pulsed laser heating. Traditional approaches rely on solving the parabolic two-temperature model (TTM), which captures the coupled dynamics between electron and lattice temperatures at micro/nanoscale time scales. Our ANN-based method offers a data-driven alternative capable of approximating the TTM solution with strong theoretical convergence guarantees. I contributed to the design and implementation of the ANN architecture and helped evaluate its performance against analytical solutions. The model was used to accurately predict the thermal responses in a gold-on-chromium thin film system under femtosecond laser excitation, demonstrating the potential of physics-informed ML for nanoscale thermal analysis in advanced materials and laser processing applications.
Enhancing Neural Operator Surrogates with Diffusion Models for High-Frequency Turbulence
In this colaborative project, we addressed a key limitation of neural operators in modeling turbulent flow: their inability to capture fine-scale, high-frequency structures. While neural operators such as Fourier Neural Operators (FNO) and DeepONets offer scalable and efficient surrogate modeling, their outputs tend to be overly smooth, failing to reproduce the rich spectral content of turbulence. To overcome this, we developed a hybrid framework where generative diffusion models are conditioned on neural operator predictions. This enables the diffusion model to restore high-frequency components lost during surrogate approximation. I contributed to the development of the hybrid architecture and led the validation across diverse datasets, including high Reynolds number jet flow simulations and experimental Schlieren velocimetry. Our method achieves markedly improved energy spectrum alignment and enables temporally stable autoregressive rollouts. Spectral analysis via Proper Orthogonal Decomposition (POD) further confirms enhanced fidelity in both space and time. This framework offers a generalizable approach for physics-informed generative enhancement, applicable to scientific systems requiring microstructural resolution.
Data-Efficient Inverse Design of Architected Metamaterials using Neural Operators
In this collaborative project, we developed a scientific machine learning framework to enable the inverse design of micro-architected metamaterials from sparse, high-fidelity experimental data. Traditional design methods for such materials often rely on dense simulations or costly lab experiments, particularly challenging for nonlinear and stochastic microstructures. Our approach leverages deep neural operators—including DeepONet and its variants—to directly learn the complex mappings between microstructural features and their mechanical responses. I contributed to the implementation and evaluation of the neural operator models and supported the comparative analysis between standard neural networks and operator-based architectures. Our results on spinodal microstructures fabricated via two-photon lithography demonstrated predictive accuracy within 5–10%, highlighting the method’s viability under data-constrained conditions. This work illustrates the power of integrating advanced ML with nanoscale experimentation to accelerate the design of next-generation mechanical metamaterials.
publications
Gradient preserved method for solving heat conduction equation with variable coefficients in double layers
Published in Applied Mathematics and Computation, 2020
Neural Network Method for Solving Parabolic Two-Temperature Microscale Heat Conduction in Double-Layered Thin Films Exposed to Ultrashort-Pulsed Lasers
Published in International Journal of Heat and Mass Transfer, 2021
A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains
Published in Communications in Computational Physics, 2022
Neural network method for solving nonlocal two-temperature nanoscale heat conduction in gold films exposed to ultrashort-pulsed lasers
Published in International Journal of Heat and Mass Transfer, 2022
Learning bias corrections for climate models using deep neural operators
Published in AAAI 2023, 2023
Physics-Informed Deep Neural Operator Networks
Published in Springer, 2023
TransformerG2G: Adaptive time-stepping for learning temporal graph embeddings using transformers
Published in Neural Networks, 2023
A physics-informed neural network method for thermal analysis in laser-irradiated 3D skin tissues with embedded vasculature, tumor and gold nanorods.
Published in International Journal of Heat and Mass Transfer, 2025
XAI4Extremes: An explainable AI framework for understanding extreme-weather precursors
Published in AI4X 2025 International Conference, 2025
XAI4Extremes: An interpretable machine learning framework for understanding extreme-weather precursors under climate change
Published in ICLR 2025 Workshop, 2025
Mitigating spectral bias in neural operators via high-frequency scaling for physical systems
Published in Arxiv, 2025
An Artificial Neural Network Method for Simulating Soliton Propagation Based on the Rosenau-KdV-RLW Equation on Unbounded Domains.
Published in Mathematics, 2025
Characterization and Inverse Design of Stochastic Mechanical Metamaterials Using Neural Operators
Published in Advanced Materials, 2025
Integrating neural operators with diffusion models improves spectral representation in turbulence modeling
Published in Proceedings of the Royal Society A, 2025
talks
teaching
Physics 2611/2621
Undergraduate course, Louisiana Tech University, Department of Physics, 2016
Duties at various times have included office hours and leading weekly computer lab exercises. Also taking full classes with student strength of 20. During stay home order , prepared video resources for all the lab experiments to teach online for the students.
Physics 209
Undergraduate course, Louisiana Tech University, Department of Physics, 2021
Duties at various times have included taking full classes with student strength of 64. Study sessions on weekends and office hours. Conducting quiz, exam and daily assignments.
Applied Mathematics - Directed Reading Program Mentor
Undergraduate course, Brown University, Division of Applied Mathematics, 2023
The Directed Reading Program provides undergraduates with the opportunity to work one-on-one with graduate students and post-docs in the Division of Applied Mathematics (APMA) on independent reading projects. It is a fantastic opportunity for motivating undergraduates to learn new mathematical \& computational skills forge connections and explore higher-level mathematics outside of the undergraduate curriculum.
Teaching Assistant- Deep Learning for Scientists & Engineers
NVIDIA Course, NVIDIA and Brown University, 2023
(Funded by NVIDIA, a unique course from basic deep learning techniques to recently published research papers) Duties: Testing various optimization algorithms for benchmark in optimization, Analyzing mathematical formulations and proofs, and Preparing course contents from research papers and textbooks.
TA- APMA 2070
Graduate course, Brown University, Division of Applied Mathematics, 2024
TA- APMA 2070
Graduate course, Brown University, Division of Applied Mathematics, 2025