Lec . 8 : Low degree testing ( Part II )
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چکیده
منابع مشابه
Limits of Approximation Algorithms 18 Mar , 2010 ( TIFR ) Lec . 7 : Low degree testing ( Part I )
In this lecture1, we will give a local algorithm to test whether a given function is close to a low degree polynomial, i.e. check whether the function f : Fm → F (given as a truth-table) is close to the evaluation of some multi-variate polynomial of low degree without reading all of f . This problem is refered to as the “low-degree testing”. The main references for this lecture include Lecture ...
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In today’s lecture 1, we will see how we can use the results on low-degree testing (which we discussed in detail in the earlier lectures) to construct PCPs. Towards this end, we will first show how local checkers for low-degreeness can be extended to check if a given function is a low-degree polynomial that vanishes on a pre-specified subcube. We will then “arithmetize” the NP-complete problem ...
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