Interaction
Last updated
Last updated
Interaction is a Transformer which takes vector or double-valued columns, and generates a single vector column that contains the product of all combinations of one value from each input column.
For example, if you have 2 vector type columns each of which has 3 dimensions as input columns, then you’ll get a 9-dimensional vector as the output column.
It is a Cartesian product between 2 vectors
Examples
Assume that we have the following DataFrame with the columns “id1”, “vec1”, and “vec2”:
Applying Interaction with those input columns, then interactedCol as the output column contains:
id1
vec1
vec2
1
[1.0,2.0,3.0]
[8.0,4.0,5.0]
2
[4.0,3.0,8.0]
[7.0,9.0,8.0]
3
[6.0,1.0,9.0]
[2.0,3.0,6.0]
4
[10.0,8.0,6.0]
[9.0,4.0,5.0]
5
[9.0,2.0,7.0]
[10.0,7.0,3.0]
6
[1.0,1.0,4.0]
[2.0,8.0,4.0]
id1
vec1
vec2
interactedCol
1
[1.0,2.0,3.0]
[8.0,4.0,5.0]
[8.0,4.0,5.0,16.0,8.0,10.0,24.0,12.0,15.0]
2
[4.0,3.0,8.0]
[7.0,9.0,8.0]
[56.0,72.0,64.0,42.0,54.0,48.0,112.0,144.0,128.0]
3
[6.0,1.0,9.0]
[2.0,3.0,6.0]
[36.0,54.0,108.0,6.0,9.0,18.0,54.0,81.0,162.0]
4
[10.0,8.0,6.0]
[9.0,4.0,5.0]
[360.0,160.0,200.0,288.0,128.0,160.0,216.0,96.0,120.0]
5
[9.0,2.0,7.0]
[10.0,7.0,3.0]
[450.0,315.0,135.0,100.0,70.0,30.0,350.0,245.0,105.0]
6
[1.0,1.0,4.0]
[2.0,8.0,4.0]
[12.0,48.0,24.0,12.0,48.0,24.0,48.0,192.0,96.0]