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- W2962917652 abstract "Let P be a probability distribution over a finite alphabet Omega^L with all L marginals equal. Let X^(1), ..., X^(L), where X^(j) = (X_1^(j), ..., X_n^(j)) be random vectors such that for every coordinate i in [n] the tuples (X_i^(1), ..., X_i^(L)) are i.i.d. according to P.The question we address is: does there exist a function c_P independent of n such that for every f: Omega^n -> [0, 1] with E[f(X^(1))] = m > 0 we have E[f(X^(1)) * ... * f(X^(n))] > c_P(m) > 0?We settle the question for L=2 and when L>2 and P has bounded correlation smaller than 1." @default.
- W2962917652 created "2019-07-30" @default.
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- W2962917652 date "2016-01-01" @default.
- W2962917652 modified "2023-09-26" @default.
- W2962917652 title "Lower Bounds on Same-Set Inner Product in Correlated Spaces" @default.
- W2962917652 doi "https://doi.org/10.4230/lipics.approx-random.2016.34" @default.
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