Skip to content

Deprecated - Software to generate GENEO from images based on "On the Construction of Group Equivariant Non-Expansive Operators via Permutants and Symmetric Functions"

License

Notifications You must be signed in to change notification settings

BabelDev0/GDonut

Repository files navigation

⚠️ Deprecated

This project is no longer maintained.

Feel free to fork or use the code as-is, but please be aware that no further updates, bug fixes, or support will be provided.

GDonut

Introduction

Welcome to the repository of GDonut! This program is designed to help students visually explore the method for constructing non-expansive equivariant group operators (GENEOs) through the input of permutants and symmetrical functions.

A GENEO, or non-expansive equivariant group operator, is a mathematical construct that can be applied to construct a new paradigm of learning networks, based on the formal study of the topological space of these operators.

Equivariance refers to the property of a function or operator that remains unchanged when applied to a transformed version of its input. In other words, if a function or operator is equivariant, it will give the same output no matter how its input is transformed.

Non-expansiveness, on the other hand, refers to the property of a function or operator that does not increase the distance between its inputs. This property is important for ensuring that the output of the function or operator is not significantly different from its input, which can be useful for tasks such as learning or optimization.

GENEOs are useful in the construction of learning networks, as they can be used to create models that are robust to transformations of their input data. They are also useful for studying the topological space of group operators, which can provide insights into the structure of data and the relationships between different data points.

References

Non-Expansive Equivariant Group Operators for Artificial Intelligence

program Features

Select groups and permutants
Insert symmetrical functions
Process images from input data
Save and reuse the GENEO as an image for further studies
Normalize the GENEO obtained by an arbitrary constant

Technologies Used

Tauri
Rust
Vue.js
Vite.js
[ml-matrix]([url](https://mljs.github.io/matrix/))

Contributions

We welcome contributions to the program. If you have any suggestions or find any bugs, please open an issue or submit a pull request.

Thank you for using the GDount program!

About

Deprecated - Software to generate GENEO from images based on "On the Construction of Group Equivariant Non-Expansive Operators via Permutants and Symmetric Functions"

Topics

Resources

License

Stars

Watchers

Forks

Releases

No releases published

Packages

No packages published

Languages