Performance Bounds for LASSO under Multiplicative Noise: Applications to Pooled RT-PCR Testing
乘性噪声下 LASSO 的性能界:在混合 RT-PCR 检测中的应用
Group testing is a technique which avoids individually testing $n$ samples for a rare disease and instead tests $n < p$ pools, where a pool consists of a mixture of small, equal portions of a subset of the $p$ samples. Group testing saves testing time and resources in many applications, including RT-PCR, with guarantees for the recovery of the status of the $p$ samples from results on $n$ pools. The noise in quantitative RT- PCR is inherently known to follow a multiplicative…