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Tests atternative to higher criticism for high dimensional means under sparsity and column-wise dependence
Large deviation Large p, small n Optimal detection boundary Sparse signal Thresholding Weak dependence
2016/1/25
We consider two alternative tests to the Higher Criticism test of Donoho and Jin (2004) for high dimensional means under the spar-sity of the non-zero means for sub-Gaussian distributed data with unkn...
Tests atternative to higher criticism for high dimensional means under sparsity and column-wise dependence
Large deviation Large p, small n Optimal detection boundary Sparse signal Thresholding Weak dependence
2016/1/20
We consider two alternative tests to the Higher Criticism test of Donoho and Jin (2004) for high dimensional means under the spar-sity of the non-zero means for sub-Gaussian distributed data with unkn...
Higher Criticism for Detecting Sparse Heterogeneous Mixtures
Multiple Comparsions Combining Many p-values
2015/8/21
Higher Criticism, or second-level significance testing, is a multiple comparisons concept
mentioned in passing by Tukey (1976). It concerns a situation where there are many independent tests of...
Higher Criticism Thresholding: Optimal Feature Selection when Useful Features are Rare and Weak
Criticism Thresholding Feature Selection
2015/8/21
Linear classi cation analysis is a fundamental tool for science
and technology. In important application elds today { genomics and proteomics are examples { one automatically obtains very high-dimen...
Global Testing under Sparse Alternatives: ANOVA, Multiple Comparisons and the Higher Criticism
Detecting a sparse signal analysis of variance higher criticism minimax detection incoherence random matrices suprema of Gaussian processes compressive sensing
2015/6/17
Testing for the significance of a subset of regression coefficients in a linear model, a staple of statistical analysis, goes back at least to the work of Fisher who introduced the analysis of varianc...
Innovated Higher Criticism for detecting sparse signals in correlated noise
Adding noise Cholesky factorization empirical process innovation multiplehypothesis testing sparse normal means
2010/3/18
Higher Criticism is a method for detecting signals that are both sparse and weak. Although
first proposed in cases where the noise variables are independent, Higher Criticism
also has reasonable per...