# Graph signal processing with categorical perspective

**Authors:** Feng Ji, Xingchao Jian, Wee Peng Tay

arXiv: 2302.12421 · 2023-02-27

## TL;DR

This paper introduces a category theory-based framework for graph signal processing, aiming to unify and generalize existing probabilistic approaches that address uncertainties in signals and graphs.

## Contribution

It presents a novel categorical framework that broadens the theoretical foundation of graph signal processing and incorporates probabilistic considerations.

## Key findings

- Framework successfully unifies various probabilistic models
- Enhances understanding of signal and graph uncertainties
- Lays groundwork for future categorical methods in GSP

## Abstract

In this paper, we propose a framework for graph signal processing using category theory. The aim is to generalize a few recent works on probabilistic approaches to graph signal processing, which handle signal and graph uncertainties.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/2302.12421/full.md

## Figures

1 figure with captions in the complete paper: https://tomesphere.com/paper/2302.12421/full.md

## References

6 references — full list in the complete paper: https://tomesphere.com/paper/2302.12421/full.md

---
Source: https://tomesphere.com/paper/2302.12421