| Autor: |
Jian, Xingchao, Gölz, Martin, Ji, Feng, Tay, Wee Peng, Zoubir, Abdelhak M. |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
We consider a multiple hypothesis testing problem in a sensor network over the joint spatial-time domain. The sensor network is modeled as a graph, with each vertex representing a sensor and a signal over time associated with each vertex. We assume a hypothesis test and an associated p-value for every sample point in the joint spatial-time domain. Our goal is to determine which points have true alternative hypotheses. By parameterizing the unknown alternative distribution of $p$-values and the prior probabilities of hypotheses being null with a bandlimited generalized graph signal, we can obtain consistent estimates for them. Consequently, we also obtain an estimate of the local false discovery rates (lfdr). We prove that by using a step-up procedure on the estimated lfdr, we can achieve asymptotic false discovery rate control at a pre-determined level. Numerical experiments validate the effectiveness of our approach compared to existing methods. |
| Databáze: |
arXiv |
| Externí odkaz: |
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