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What is: Gaussian Affinity?

Year2005
Data SourceCC BY-SA - https://paperswithcode.com

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

f(x_i,x_j)=exT_ix_jf\left(\mathbb{x\_{i}}, \mathbb{x\_{j}}\right) = e^{\mathbb{x^{T}\_{i}}\mathbb{x\_{j}}}

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