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lsa cosine R

lsa cosine R

cosine {lsa} R Documentation

Cosine Measure (Matrices)

Description

Calculates the cosine measure between two vectors or between all column vectors of a matrix.

Usage
cosine(x, y = NULL)

Arguments x A vector or a matrix (e.g., a document-term matrix). y Optional: a vector with compatible dimensions to  x . If `NULL', all column vectors of  x  are correlated.

Details

cosine()  calculates a similarity matrix between all column vectors of a matrix  x . This matrix might be a document-term matrix, so columns would be expected to be documents and rows to be terms.

When executed on two vectors  x  and  y ,  cosine()  calculates the cosine similarity between them.

Value

Returns a  n*n  similarity matrix of cosine values, comparing all  n  column vectors against each other. Executed on two vectors, their cosine similarity value is returned.

Note

The cosine measure is nearly identical with the pearson correlation coefficient (besides a constant factor) cor(method="pearson") . For an investigation on the differences in the context of textmining see (Leydesdorff, 2005).

Author(s)

Fridolin Wild  fridolin.wild@wu-wien.ac.at

References

Leydesdorff, L. (2005)  Similarity Measures, Author Cocitation Analysis,and Information Theory . In: JASIST 56(7), pp.769-772.

See Also

cor

Examples
## the cosinus measure between two vectors

vec1 = c( 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 )
vec2 = c( 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0 )
cosine(vec1,vec2) 

## the cosine measure for all document vectors of a matrix

vec3 = c( 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0 )
matrix = cbind(vec1,vec2, vec3)
cosine(matrix)

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