Property Testing Lower Bounds via Communication Complexity
نویسندگان
چکیده
منابع مشابه
Distribution Testing Lower Bounds via Reductions from Communication Complexity
We present a new methodology for proving distribution testing lower bounds, establishing a connection between distribution testing and the simultaneous message passing (SMP) communication model. Extending the framework of Blais, Brody, and Matulef [15], we show a simple way to reduce (private-coin) SMP problems to distribution testing problems. This method allows us to prove new distribution te...
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A couple of years ago, Blais, Brody, and Matulef put forward a methodology for proving lower bounds on the query complexity of property testing via communication complexity. They provided a restricted formulation of their methodology (via “simple combining operators”) and also hinted towards a more general formulation, which we spell out in this paper. A special case of the general formulation ...
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We begin in this section with a brief introduction to the field of property testing. Section 2 explains the famous example of “linearity testing.” Section 3 gives upper bounds for the canonical problem of “monotonicity testing,” and Section 4 shows how to derive property testing lower bounds from communication complexity lower bounds. These lower bounds will follow from our existing communicati...
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We first give a brief introduction to the field of property testing. Section 3 gives upper bounds for the canonical property of “monotonicity testing,” and Section 4 shows how to derive property testing lower bounds from communication complexity lower bounds. We won’t need to develop any new communication complexity; our existing toolbox (specifically, Disjointness) is already rich enough to de...
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A notion of ”communication complexity” is used to formally measure the degree to which a Boolean function is ”global”. An explicit combinatorial lower bound for this complexity measure is presented. In particular, this leads to an exp(Ω( √ n)) lower bound on the complexity of depth-restricted contact schemes computing some natural Boolean functions in NP.
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ژورنال
عنوان ژورنال: computational complexity
سال: 2012
ISSN: 1016-3328,1420-8954
DOI: 10.1007/s00037-012-0040-x