# StataCosineSimilarity

**Repository Path**: Shutter_Zor/StataCosineSimilarity

## Basic Information

- **Project Name**: StataCosineSimilarity
- **Description**: 用Stata计算余弦相似性
- **Primary Language**: Unknown
- **License**: MIT
- **Default Branch**: main
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 0
- **Created**: 2022-06-04
- **Last Updated**: 2022-06-06

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

# StataCosineSimilarity

Calculating cosine similarity with Stata


$$
cosine\ similarity = \frac{\boldsymbol{A}\cdot\boldsymbol{B}}{||\boldsymbol{A}||\times ||\boldsymbol{B}||}=\frac{\sum A_i \times B_i}{\sqrt{\sum (A_i)^2}\sqrt{\sum (B_i)^2}}
$$


# example

句子A：$[0,1,1,0]$

句子B：$[1,2,2,1]$

$$
cs = \frac{0\times1+1\times2+1\times2+0\times1}{\sqrt{0^2+1^2+1^2+0^2}\times\sqrt{1^2+2^2+2^2+1^2}}=\frac{4}{\sqrt{2\times10}}=2/\sqrt{5}\approx 0.894
$$