Publication

Direct Sums for Parity Decision Trees

Mika Tapani Göös, Gilbert Théodore Maystre, Weiqiang Yuan
2025

Abstract

Direct sum theorems state that the cost of solving k instances of a problem is at least Ω(k) times the cost of solving a single instance. We prove the first such results in the randomised parity decision tree model. We show that a direct sum theorem holds whenever (1) the lower bound for parity decision trees is proved using the discrepancy method; or (2) the lower bound is proved relative to a product distribution.

Official source

https://infoscience.epfl.ch/entities/publication/3d16a351-9023-43fb-8d4f-d418bc192f80

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