Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

How to Calculate Cosine Similarity in R, The measure of similarity between two vectors in an inner product space is cosine similarity.

The formula for two vectors, like A and B and the Cosine Similarity can be calculated as follows

Cosine Similarity = ΣAiBi / (√ΣAi2√ΣBi2)

Mainly Cosine similarity is used to measure how similar the documents are irrespective of their size.

In other words, It calculates the cosine of an angle formed by two vectors projected in three dimensions.

This tutorial describes how to calculate the Cosine Similarity between vectors in R while using the cosine() function.

The cosine() function can be loaded from the lsa library.

LSTM Network in R » Recurrent Neural network »

## How to Calculate Cosine Similarity in R

Let’s create two vectors x and y and assign some values to them.

#create vectors

```x <- c(33, 33, 43, 55, 48, 37, 43, 24)
y <- c(37, 38, 42, 46, 46, 59, 41, 50)```

#determine the Cosine Similarity

```library(lsa)
cosine(x, y)
[1,] 0.9624844```

Based on the above result, the Cosine Similarity between the x and y is 0.9624844.

Repeated Measures of ANOVA in R Complete Tutorial »

We can calculate the Cosine Similarity of a Matrix in R

Let’s create x, y, and z vectors and create a matrix.

#define matrix

```x <- c(23, 24, 34, 35, 22, 25, 33, 24)
y <- c(10, 10, 22, 26, 16, 22, 11, 20)
z <- c(14, 15, 35, 16, 11, 23, 10, 41)
matrix <- cbind(x, y, z)```

#calculate Cosine Similarity

Correlation Analysis in R? » Karl Pearson correlation coefficient »

```library(lsa)
cosine(matrix)
x         y         z
x 1.0000000 0.9561517 0.8761308
y 0.9561517 1.0000000 0.9163248
z 0.8761308 0.9163248 1.0000000```

Now you can see the cosine similarity between x, y, and z.

The Cosine Similarity between vectors x and y is 0.9561517.

The Cosine Similarity between vectors x and z is 0.8761308.

The Cosine Similarity between vectors y and z is 0.9163248.

The cosine() function required either one matrix or two vectors needed as input.

How to Calculate Partial Correlation coefficient in R-Quick Guide »

The post How to Calculate Cosine Similarity in R appeared first on finnstats.