README.md

---
title: Stacked Tensorial Neural Network
emoji: 🌖
colorFrom: red
colorTo: yellow
sdk: gradio
sdk_version: 4.19.2
app_file: app.py
pinned: false
license: mit
---

## Stacked Tensorial Neural Network (STNN) demo
This demo uses the model architecture from [arXiv:2312.14979](https://arxiv.org/abs/2312.14979)
to solve a parametric PDE problem on an elliptical annular domain. See the paper for a 
detailed description of the problem and its applications.

The [GitHub repo](https://github.com/caleb399/stacked_tensorial_nn) contains additional examples, including
intructions for solving the PDE using a conventional iterative method (GMRES). Due to the long runtime of
solving the PDE in this way, it is not included in the demo.