# Enhancing neural operator learning with invariants to simultaneously learn various physical mechanisms

## TL;DR

This paper introduces PIANO, a new framework that improves learning of physical mechanisms by incorporating physical knowledge into neural operators.

## Contribution

The novel Physics Invariant Attention Neural Operator (PIANO) framework is introduced for integrating physical knowledge from multi-physical scenarios.

## Key findings

- PIANO is designed to decipher and integrate physical knowledge from PDEs.
- The framework is suitable for multi-physical scenarios and sampled PDE data.

## Abstract

We discuss the recent advancement in PDE learning, focusing on Physics Invariant Attention Neural Operator (PIANO). PIANO is a novel neural operator learning framework for deciphering and integrating physical knowledge from PDEs sampled from multi- physical scenarios.