Affinity Functions

## Gaussian Affinity

Gaussian Affinity is a type of affinity or self-similarity function between two points $\mathbb{x_{i}}$ and $\mathbb{x_{j}}$ that uses a Gaussian function:

$$f\left(\mathbb{x_{i}}, \mathbb{x_{j}}\right) = e^{\mathbb{x^{T}_{i}}\mathbb{x_{j}}}$$

Here $\mathbb{x^{T}_{i}}\mathbb{x_{j}}$ is dot-product similarity.

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