A composition theorem for decision tree complexity

Feb 18, 2013 - The decision tree model captures the complexity of computing functions f : Xm → Y in a setting where the quantity of interest is the ...

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Jan 10, 2018 - CC] 10 Jan 2018. A Composition Theorem via Conflict Complexity. Swagato Sanyal ∗. January 11, 2018. Abstract. Let R(·) stand for the bounded-error randomized query complexity. We show that for any relation f ⊆ {0, 1}n ×S and part

Apr 6, 2015 - The goal is to compute f(x), while minimizing the number of queries made to the black box. For a function f : {0,1}n → {0,1}, let D(f) denote the deterministic query complexity (or decision tree complexity) of computing f, the minimum

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Jun 30, 2015 - there exists a protocol computing F with communication log. O(1) ∥. ∥. ∥. ˆ f. ∥. ∥. ∥0 . However, the Log-Rank conjecture is still difficult for this special class of functions. One nice approach proposed in [Zha09] is to

Dec 7, 2013 - parity kill number of f, the fewest number of parities on the input variables one has to fix in order to “kill” f, i.e. to make it constant. DT⊕[f] is the depth of the shortest parity decision tree which computes f. These complexi

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Oct 19, 2018 - Using our lower bound we determine the exact parity decision tree ... trees model (in which only the value of a variable can be asked in one query) ... described above is not far from being optimal and that the parity ... D⊕(MAJ) = n

Dec 28, 2017 - Abstract. String matching is one of the most fundamental problems in computer science. A natural problem is to find the number of characters that needs to be queried (i.e. the decision tree complexity) in a string in order to determine

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We propose to add specific noise to the numeric attributes after exploring the decision tree of the original data. The obfuscated data then is presented to the second party for decision tree analysis. The decision tree obtained on the original data a

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