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rusty_kan/README.md

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+# Rusty-KAN
+
+Kolmogorov-Arnold Networks are a type of neural network that is based on the [Kolmogorov-Arnold representation theorem](https://en.wikipedia.org/wiki/Kolmogorov%E2%80%93Arnold_representation_theorem). Essentially, it states that any continuous function can be represented as a composition of a finite number of univariate functions.
+
+Therefore, a KAN is a neural network where the activation functions are placed on the edges and act as learnable weights for the network. The nodes simply sum the incoming activations.
+
+For example, see the following image, which shows how functions are composed in a KAN to approximate continuous functions:
+![alt text](image.png)
+
+This is the basis of the Rusty-KAN library, which is a Rust implementation of the KAN.
+
+## Installation
+
+To install Rusty-KAN, simply add the following line to your `Cargo.toml` file:
+
+```toml
+[dependencies]
+rusty-kan = "0.1.0"
+```
+
+## References
+
+- [Kolmogorov-Arnold representation theorem](https://en.wikipedia.org/wiki/Kolmogorov%E2%80%93Arnold_representation_theorem)
+
+- [KAN: Kolmogorov-Arnold Networks](https://arxiv.org/abs/2404.19756)
+
+- [pykan](https://github.com/KindXiaoming/pykan)