Some quesitions about RBF kernel and ranksvm

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Hi guys, I have some questions about ranksvm and RBF kernel. Thanks for all your help.
1. The RBF kernel function is :
2. how can we calculate this function
3.The function in question 2 is used in this function. I donot know how to calculate the question 2.
This is a kernel based ranksvm. I understand the algorithm, but I donot understand how to transfer the x_i into phi(x_i).

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HC Song
HC Song 2016-6-1
I find out the solutions . In Algorithms for ranking with SVMs, the section 6.3 disscussed this issue and one solution was provided. I code the algorithms and test it. the result is correct.

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