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- W3197348536 abstract "Non-adaptive group testing refers to the problem of inferring a sparse set of defectives from a larger population using the minimum number of simultaneous pooled tests. Recent positive results for noiseless group testing have motivated the study of practical noise models, a prominent one being dilution noise. Under the dilution noise model, items in a test pool have a fixed probability of being independently diluted, meaning their contribution to a test does not take effect. In this setting, we investigate the number of tests required to achieve vanishing error probability with respect to existing algorithms and provide an algorithm-independent converse bound. In contrast to other noise models, we also encounter the interesting phenomenon that dilution noise on the resulting test outcomes can be offset by choosing a suitable noise-level-dependent Bernoulli test design, resulting in matching achievability and converse bounds up to order in the high noise regime." @default.
- W3197348536 created "2021-09-13" @default.
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- W3197348536 date "2021-07-12" @default.
- W3197348536 modified "2023-09-25" @default.
- W3197348536 title "Group Testing in the High Dilution Regime" @default.
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- W3197348536 doi "https://doi.org/10.1109/isit45174.2021.9518111" @default.
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