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• W2268426235 abstract "We consider the group testing problem, in which one seeks to identify a subset of defective items within a larger set of items based on a number of noisy tests. While matching achievability and converse bounds are known in several cases of interest for i.i.d. measurement matrices, less is known regarding converse bounds for arbitrary measurement matrices. We address this by presenting two converse bounds for arbitrary matrices and general noise models. First, we provide a strong converse bound (P[error] → 1) that matches existing achievability bounds in several cases of interest. Second, we provide a weak converse bound (P[error] → 0) that matches existing achievability bounds in greater generality." @default.
• W2268426235 created "2016-06-24" @default.
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• W2268426235 creator A5046337437 @default.
• W2268426235 date "2016-07-01" @default.
• W2268426235 modified "2023-10-16" @default.
• W2268426235 title "Converse bounds for noisy group testing with arbitrary measurement matrices" @default.
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• W2268426235 doi "https://doi.org/10.1109/isit.2016.7541823" @default.
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