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as far as i understand
Dual formulation is basically for the purpose of maximizing the margin and minimizing the training error.
reference:
http://www.cs.columbia.edu/~kathy/cs4701/documents/jason_svm_tutorial.pdf
We use dual formulation of SVM (or you can say dual formulation is effective in following cases), mainly when-
1. Number of features are larger than number of training points.
2. Data is non-linearly separable.
3. To utilize the sparsity of data (if present)
4. Primal formulation suffers from differentiability issues.
Hy,
it's a probleme transformation,
it's brings the problem resolution and maximum hyperplan feasible and more easly.
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