In the previous article I clusterized the songs and did a tree anlysis. Now, I will try a practical model to dynamically look for the nearest songs to a given one.

Los datos

Again, There are 254 songs in 25 albums.

In this case, to calculate the distance between songs, I will use the Term frequency - inverse document frequency (tf-idf) for each word in songs, instead of the absolute frequency of occurrence of each word.

The advantage of this algorithm is that it gives more weight to words that are very common in some documents, but doesn’t appears in a many documents in the corpus. That is, it makes some words more significant than others. With this system, the word cloud change a bit:

Nearest song to a given one

With the matrix of terms and using tf-idf frequencies we can easily determine which songs are the closest to a given one, based, as in the previous article, in the Euclidean distance between songs.

This method gives better results than the previous classification tree, in last article, which It was based on the absolute frequencies.

Let’s search the nearest songs to Lazarus:

song distance
Lazarus 0.0000000
Cygnet Committee 0.6709544
Candidate 0.7180088
You Feel So Lonely You Could Die 0.7256923
We Are The Dead 0.7280794
Shining Star (Makin' My Love) 0.7353172
Somebody Up There Likes Me 0.7379833
Something In The Air 0.7549199
Ashes To Ashes 0.7621797
Five Years 0.7644335

Now, let’s see the nearest songs to Space Oditty:

song distance
Space Oddity 0.0000000
Ashes To Ashes 0.8647541
Cygnet Committee 0.9391786
Candidate 0.9655204
You Feel So Lonely You Could Die 0.9688882
We Are The Dead 0.9700174
Shining Star (Makin' My Love) 0.9855299
If You Can See Me 0.9894812
Somebody Up There Likes Me 0.9911007
Five Years 1.0024585

The algorithm finds that the nearest song is Ashes to Ashes_. That is, the song in which appears also Major Tom. This is a significant improvement over the system based on the absolute frequencies in the previous article (You can look for this song there and observe the difference).

Let’s try one more song _ “Heroes” _:

song distance
“Heroes” 0.0000000
Cygnet Committee 0.7270792
You Feel So Lonely You Could Die 0.7499512
Candidate 0.7565930
We Are The Dead 0.7641921
Shining Star (Makin' My Love) 0.7683600
Somebody Up There Likes Me 0.7725134
If You Can See Me 0.7843719
When I Live My Dream 0.7858126
Something In The Air 0.8051492



Network of songs

With the distances between songs, we can visualize the relationships between them through a network.

With the distances between all of them, the network would be unmanageable. We include just the most important relationships to have an idea of what is the result (in any case 254 songs, create a very complex network).

You can do infinite zoom in this network if you open this image in its own tab following this link: network of songs. Also you can download the image and open it with a svg viewer.

zoom en la red de canciones

In the center of the image we find the songs who have more relationships. The other songs can be found around these.


References

The R document (rmarkdown) to reproduce this analysis can be found following this link