PS: Since the use of 10-fold-cross-validation caused a redo of the whole experiment, values were
changed: The population size becomes 200 instead of 80 (see 4th experiment). Also, we were forced
to set the maximum iterations of the genetic algorithm by 200 instead of 100 because the algorithm
does not converge at 100 generations with this new experiment.
The downside when using 10-fold-cross-validation is the high complexity compared to Hold-out,
because for each chromosome the learning will be repeated 10 times. We notice that the results are
very close to that of hold-out, with a non-decisive advantage.
Modification of paragraph: section 5.2, page 14.
Addition of paragraph: section 5.2, 2nd experiment, page 17
Reviewer’s comment #4
Using a single number, we cannot conclude for the significance of the results of Table 6.
Author’s answer
To conclude the significance of the results of Table 6 (renamed to table 7), we can compare the
results of GA-based method and Randoized search based method by using not only the recognition
rate but also the number of features used (a strong point of our contribution). For this, we have
added a table 9 (new table) which compares the size of the feature vector of the two methods. For
the method based on Randomized Search, the size of feature vector is directly the number of
features after reduction with PCA unlike to our method, which will optimize the feature vector.
Modification of paragraph: section 5.2, 2nd experiment, page 16.
Addition of table 8: section 5.2, 2nd experiment, page 17
Reviewer’s comment #5
Did the authors perform stratification when splitting the dataset in train/test splits?
Author’s answer
Of course, we used it in k-fold-cross-validation, to preserve the same proportions of examples in each
class as seen in the original dataset.
Modification of paragraph: section 5.2, page 14.
Reviewer’s comment #6
What is the distribution of each expression in each dataset?
Author’s answer
The distribution for each expression in each dataset:
CK+: Angry (An) 45, Contempt (Co) 18, Disgust (Di) 59, Fear (Fe) 25, Happy (Ha) 69, Sadness (Sa) 28,
Surprise (Su) 83.