An inequality for the Fourier spectrum of parity decision trees
نویسندگان
چکیده
We give a new bound on the sum of the linear Fourier coefficients of a Boolean function in terms of its parity decision tree complexity. This result generalizes an inequality of O’Donnell and Servedio for regular decision trees [OS08]. We use this bound to obtain the first non-trivial lower bound on the parity decision tree complexity of the recursive majority function.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1506.01055 شماره
صفحات -
تاریخ انتشار 2015