Changed status from F1 to H1B on October 16. I will be filing my taxes as a non-resident. Do I need to pay Social Security and Medicare taxes from from Oct 16 to Dec 31?

My employer withheld social security and medicare taxes after my status changed from F1 to H1B? Can I claim those in refunds? If no, how do I show that I was eligible for exemptions during my F1 while filing my returns?