In this post we apply this approach to classify documents, and we do a comparison between this approach and the canonical bag of words.
The comparison test will be done through the ensemble method already showed in the last post.
Features
The idea is to build the features set considering constructs of co-occurrences instead of single words as usually done with bag of words.
- The prominent advantage of this approach is well rendered when the corpus contains structured features as for instance "bank account, invoice number" and so on.
- The biggest disadvantage lays in the length of the feature set and consequently in the length of the vectors built to represent each document.
Let me clarify the last point: consider for instance a corpus of 100 words; in this case the dimension of each vectors will be less or equal to 100. Let's try now to consider the co-occurrences of these 100 words, and just to simplify the process, let's focus on the co-occurrences of two words (so we consider the closeness of two words), in this case the length of the vector is 100*100 =10000!!.
The image below represents the graph of the co-occurrences extracted considered the highest ranking (the ranking has been assigned in the way described in this post applied to the data set used to explain the ensemble method based on ADA boost M1).
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| The most important features extracted through the LSA method. |
Vectors
To build the vectors I used the first 15000 structured features extracted by the latent semantic method and I considered just features composed by 2 words (co-occurrences).
To mitigate the complexity to crunch vectors with dimension so high, I built the training and test set using sparse matrixes of boolean values.
The advantage of the sparse matrix working with SVM is related to the small memory consumption required to select the support vectors.
Someone could argue that inner product of sparse array requires additional effort in the kernel evaluation, but if the vectors contain only boolean values, this extra complexity is negligible.
Comparison
To perform a comparison test, I used the same sets and the same strategies of learning.
In both scenarios, I trained the system through the ensemble techniques described in the last post (based on the boos method of ADA boost M1).
Results:
Before to discuss the results let me show the confusion matrixes.
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| Confusion Matrix for LSA based classifier. (How to read it?...look at the former post) |
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| Confusion Matrix for "Bag of Words" based classifier. (How to read it?...look at the former post) |
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| In blue it has been represented the results for LSA based approach. In red it has been represented the results for Bag of Words approach. |
As you can see, even if the results obtained with the LSA classifier are not so bad, the traditional approach based on bag of words (in this experiment extracted through TD-DF) returns better results.
Why?
The training set used generated around 8.000 features (single words) and the vectors have been built using 500 features (6.25% of the total).
The size of the features having relevant ranking in the LSA approach is around 15000, and to ensure the same conditions of the test I trained the system choosing again 500 features (3.33% of the total).
Basically the useful information to classify the docs in LSA approach is spread over a bigger feature set.
Conclusion
As we have already seen in the past, doesn't exist a technique that perform better than other approaches with every data set. With this data set (a sub set of the Reuters 21578) the LSA requires more physical resources and returns worse results.
If we scratch the surface of the results, we can observe that it detects different aspects of the corpus to classify the docs: for instance it performs better with "GRAIN" category. So I wonder if we can take advantage of this aspect to ensemble this approach with the bag of words to improve further the accuracy (as suggested by a follower of this blog) !
...We will see the results of this conjecture the next post.
As usual: Stay Tuned!!
Cristian
Conclusion
As we have already seen in the past, doesn't exist a technique that perform better than other approaches with every data set. With this data set (a sub set of the Reuters 21578) the LSA requires more physical resources and returns worse results.
If we scratch the surface of the results, we can observe that it detects different aspects of the corpus to classify the docs: for instance it performs better with "GRAIN" category. So I wonder if we can take advantage of this aspect to ensemble this approach with the bag of words to improve further the accuracy (as suggested by a follower of this blog) !
...We will see the results of this conjecture the next post.
As usual: Stay Tuned!!
Cristian
