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Evaluating the statistical significance of biclusters

Neural Information Processing Systems

Biclustering (also known as submatrix localization) is a problem of high practical relevance in exploratory analysis of high-dimensional data. We develop a framework for performing statistical inference on biclusters found by score-based algorithms. Since the bicluster was selected in a data dependent manner by a biclustering or localization algorithm, this is a form of selective inference . Our framework gives exact (non-asymptotic) confidence intervals and p-values for the significance of the selected biclusters.







Fair comparison and ablation study

Neural Information Processing Systems

The results on CIFAR10 were listed in Table R1. It reveals that HOGA searched by AutoLA (k=4)) still outperforms SE and CBAM by a large margin. We further customized SE and CBAM using the group split operation (denoted by "HOG"), resulting in a specific The HOGA searched by AutoLA outperforms its randomly search counterparts (denoted by "Rand"). We tested the generalization ability of HOGA searched on ResNet56 (denoted by "AutoLA_56") WiderResNet, indicating the consistent superiority of the HOGA searched by AutoLA over previous attention methods. We also compared AutoLA with SE and CBAM on a larger backbone (e.g., The results in Table R3 suggest that AutoLA still outperforms other attention modules.