Ben-Or's lower bound on the height of a fixed-degree algebraic decision tree to decide membership in a set is based on the number of connected components in the ...
Ben-Or's lower bound on the height of a fixed-degree algebraic decision tree to decide membership of a set is based on the number of connected components in ...
Abstract. Ben-Or's lower bound on the height of a fixed-degree algebraic decision tree to decide membership in a set is based on the number of connected ...
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What are the lower bounds of decision trees?
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This model describes actual computation much more accurately than algebraic decision trees—after all, real computers can't manipulate arbitrary real numbers—but ...
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Our paper pro- vides the rst lower bounds on the depth of ran- domized algebraic decision trees in the case of the languages being nite unions of hyperplanes as ...
A topological method is given for obtaining lower bounds for the height of algebraic computation trees, and algebraic decision trees.
(PDF) A lower bound for randomized algebraic decision trees ...
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In this paper, we prove two general lower bounds for algebraic decision trees which test membership in a set S⊆Rn which is defined by linear inequalities. Let ...
Oct 22, 2024 · We introduce a new powerful method for proving lower bounds on randomized and deterministic analytic decision trees, and give direct ...
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This theorem can be used to prove tight lower bounds for the integral-constrained form of many basic problems, such as Element Distinctness, Set Disjointness, ...
Abstract—We prove a new lower bound for the decision complexity of a complex algebraic set X in terms of the sum of its (compactly supported) Betti numbers ...
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