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- W3192391921 abstract "After we completed a new theory of discriminant analysis in 2015, we used Revised IP-Optimal Linear Discriminant Function (Revised IP-OLDF, RIP) to discriminate against the Alon microarray. The minimum number of misclassifications (Minimum NM, MNM) was zero, indicating that the data is linearly separable data (LSD). Two classes, noncancerous (“normal”) patients and cancer patients, are completely separable in the 2000 gene space. We found that LSD is a crucial signal for cancer gene diagnosis. We classify the linearly separable space and subspaces as Matryoshka. We found that LSD has two unique structures. First, LSD has a Matryoshka structure. LSD includes many smaller Matryoshkas in it up to the minimum Matryoshka (Basic Gene Set, BGS). The second structure is as follows: Program3 coded by LINGO can decompose LSD into the exclusive Small Matryoshkas (SMs) and other gene subspace (MNM > 0) by the Matryoshka Feature Selection Method (Method2). Program4 coded by LINGO can decompose LSD into the many BGSs and another gene set. The Program 4 algorithm follows the same procedure as the one used to find Yamanaka four genes from 24 genes. Just as iPS cells cannot generate when one of the four genes is deleted, deleting one gene from BGS does not make its MNM zero. Because the second structure releases us from the curse of high-dimensional data, we can analyze 64 SMs and 129 BGSs with JMP statistical software and propose a cancer gene diagnosis. Although we have successfully found all the signals, we need to rank the importance of all SMs and BGS for physicians to use for diagnosis. In this paper, we validate all 193 signals via the 100-fold cross-validation (Method1) and show the rank of all signals for the cancer diagnosis that is useful for medical research." @default.
- W3192391921 created "2021-08-16" @default.
- W3192391921 creator A5082650907 @default.
- W3192391921 date "2021-01-01" @default.
- W3192391921 modified "2023-10-16" @default.
- W3192391921 title "Cancer Gene Diagnosis of 84 Microarrays Using Rank of 100-Fold Cross-Validation" @default.
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- W3192391921 doi "https://doi.org/10.1007/978-3-030-71051-4_62" @default.
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