Journal of Computational Physics, 524, 113705 · 2025 · Journal article
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations
Zijie Li, Saurabh Patil, Francis Ogoke, Dule Shu, Wilson Zhen, Michael Schneier, John R. Buchanan Jr., and Amir Barati Farimani
A reduced-order modelling framework that learns system dynamics in a mesh-reduced latent space using a nonlinear autoencoder and a temporal prediction model.
arXiv:2405.07395 · 2024 · Preprint
CaFA: Global Weather Forecasting with Factorized Attention on Sphere
Zijie Li, Anthony Zhou, Saurabh Patil, and Amir Barati Farimani
A factorized-attention model for global weather forecasting on spherical geometries, designed to reduce the computational cost of attention at global scales.
APL Machine Learning, 1(4), 046114 · 2023 · Journal article
Hyena Neural Operator for Partial Differential Equations
Saurabh Patil, Zijie Li, and Amir Barati Farimani
Introduces a neural operator based on Hyena's long convolutions and multiplicative gating, and evaluates it on diffusion–reaction and Navier–Stokes equations.
NeurIPS 2023 Workshop: AI4Science · 2023 · Workshop paper
Latent Neural PDE Solver for Time-Dependent Systems
Zijie Li, Saurabh Patil, Dule Shu, and Amir Barati Farimani
Learns time-dependent PDE dynamics in a compressed latent space by first reducing the full-order representation and then predicting future states in that space.
medRxiv, 2023.11.02.23297976 · 2023 · Preprint
Forecasting COVID-19 New Cases Using Transformer Deep Learning Model
Saurabh Patil, Parisa Mollaei, and Amir Barati Farimani
A transformer-based time-series forecasting study of new COVID-19 cases in India, Russia, and Brazil.
NeurIPS 2022 course project report · 2022 · Technical report
Adversarial Attacks Against 3D Point Clouds
Hemant Kumar Sharma, Saurabh Patil, and Akshay Antony
An investigation of adversarial attacks on PointNet and DGCNN for 3D point-cloud classification using the ModelNet40 dataset.