8,857 research outputs found
Optimal Nested Test Plan for Combinatorial Quantitative Group Testing
We consider the quantitative group testing problem where the objective is to
identify defective items in a given population based on results of tests
performed on subsets of the population. Under the quantitative group testing
model, the result of each test reveals the number of defective items in the
tested group. The minimum number of tests achievable by nested test plans was
established by Aigner and Schughart in 1985 within a minimax framework. The
optimal nested test plan offering this performance, however, was not obtained.
In this work, we establish the optimal nested test plan in closed form. This
optimal nested test plan is also order optimal among all test plans as the
population size approaches infinity. Using heavy-hitter detection as a case
study, we show via simulation examples orders of magnitude improvement of the
group testing approach over two prevailing sampling-based approaches in
detection accuracy and counter consumption. Other applications include anomaly
detection and wideband spectrum sensing in cognitive radio systems
Better synchronizability predicted by a new coupling method
In this paper, inspired by the idea that the hub nodes of a highly
heterogeneous network are not only the bottlenecks, but also effective
controllers in the network synchronizing process, we bring forward an
asymmetrical coupling method where the coupling strength of each node depends
on its neighbors' degrees. Compared with the uniform coupled method and the
recently proposed Motter-Zhou-Kurth method, the synchronizability of scale-free
networks can be remarkably enhanced by using the present coupled method.Comment: 6 pages, 6 figures; to be published in EPJ
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