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Which is correct or better for the title of an academic article?
Machine learning and cross-validation approaches for the evaluation of anti-spam softwares
Machine learning and cross-validation approach for the evaluation of anti-spam softwares
The word approach or approaches is used as noun (not verb) in the title of the article.
It's unclear which scenario your paper is describing.
An approach that requires a combination technique of machine-learning and cross-validation.
Two (or more) approaches , one that uses Machine learning and one that uses cross-validation. Or if your paper contains multiple approaches using both techniques.
Case 1: The Machine learning and cross-validation approach for the evaluation of anti-spam software.
Case 2: Machine learning and Cross-validation approaches for the evaluation of anti-spam software.
Let us know which one it is, I'm interested to hear what your writing about!
Grammatically, both would be correct if you changed softwares to software.
You would use approach if your article discusses only one approach and this approach is based on both machine learning and cross-validation. In this case, adding "A" at the beginning makes it clearer.
If your article proposes two or more approaches, then approaches is correct.
