Research output

Publications

Peer-reviewed papers, preprints, and public technical reports.

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.