LEADER 05141nam 22008535 450 001 9910847581003321 005 20251215120703.0 010 $a9789819994205 010 $a9819994209 024 7 $a10.1007/978-981-99-9420-5 035 $a(CKB)31491963700041 035 $a(MiAaPQ)EBC31276331 035 $a(Au-PeEL)EBL31276331 035 $a(DE-He213)978-981-99-9420-5 035 $a(EXLCZ)9931491963700041 100 $a20240412d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe First Discriminant Theory of Linearly Separable Data $eFrom Exams and Medical Diagnoses with Misclassifications to 169 Microarrays for Cancer Gene Diagnosis /$fby Shuichi Shinmura 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (373 pages) 311 08$a9789819994199 311 08$a9819994195 320 $aIncludes bibliographical references and index. 327 $aThe most important knowledge by 27 Revolutionary Findings and the Outlook of this book -- LINGO Programs Usage and New Facts by Iris Data -- Swiss banknote data and CPD data -- Test Pass/Fail Judgment and Japanese Compact Cars and Regular Cars -- First Theory of Cancer Gene Data Analysis by 169 Microarrays: Four Universal Data Structures of Discriminant Data -- Three Important Studies for Cancer Gene Diagnosis -- Two-Step Practical Screening Method for Cancer Gene Diagnoses: Multivariate Oncogenes among 169 Microarrays. 330 $aThis book deals with the first discriminant theory of linearly separable data (LSD), Theory3, based on the four ordinary LSD of Theory1 and 169 microarrays (LSD) of Theory2. Furthermore, you can quickly analyze the medical data with the misclassified patients which is the true purpose of diagnoses. Author developed RIP (Optimal-linear discriminant function finding the combinatorial optimal solution) as Theory1 in decades ago, that found the minimum misclassifications. RIP discriminated 63 (=26?1) models of Swiss banknote (200*6) and found the minimum LSD: basic gene set (BGS).In Theory2, RIP discriminated Shipp microarray (77*7129) which was LSD and had only 32 nonzero coefficients (first Small Matryoshka; SM1). Because RIP discriminated another 7,097 genes and found SM2, the author developed the Matryoshka feature selection Method2 (Program3), that splits microarray into many SMs. Program4 can split microarray into many BGSs. Then, the wide column LSD (Revolution-0), such as microarray (n