2021
DOI: 10.48550/arxiv.2103.11085
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Distance Assisted Recursive Testing

Xuechan Li,
Anthony Sung,
Jichun Xie

Abstract: In many applications, a large number of features are collected with the goal to identify a few important ones. Sometimes, these features lie in a metric space with a known distance matrix, which partially reflects their co-importance pattern. Proper use of the distance matrix will boost the power of identifying important features. Hence, we develop a new multiple testing framework named the Distance Assisted Recursive Testing (DART). DART has two stages. In stage 1, we transform the distance matrix into an agg… Show more

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Cited by 2 publications
(2 citation statements)
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“…The framework of IF-PCA only assumes feature sparsity but no other particular structures on the features. It is possible that the features are grouped (Chang et al, 2017) or have some tree structures (Li et al, 2021). How to adapt IF-PCA to this setting is an interesting yet open research direction.…”
Section: Discussionmentioning
confidence: 99%
“…The framework of IF-PCA only assumes feature sparsity but no other particular structures on the features. It is possible that the features are grouped (Chang et al, 2017) or have some tree structures (Li et al, 2021). How to adapt IF-PCA to this setting is an interesting yet open research direction.…”
Section: Discussionmentioning
confidence: 99%
“…Third, we advise adhering to the tuning parameter selection criteria described in Supporting Information Note 2 for determining the layer number L and leaf size M. These parameters have been optimized based on our prior studies on hierarchical multiple testing (Li et al, 2023;Pura et al, 2023). Although increasing layer numbers could potentially lead to more discoveries, it may also elevate the FDR.…”
Section: Computation Timementioning
confidence: 99%