New Theory Of Discriminant Analysis After R Fisher

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New Theory Of Discriminant Analysis After R Fisher

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Author : Shuichi Shinmura
language : en
Publisher: Springer
Release Date : 2016-12-27

New Theory Of Discriminant Analysis After R Fisher written by Shuichi Shinmura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-27 with Mathematics categories.

This is the first book to compare eight LDFs by different types of datasets, such as Fisher’s iris data, medical data with collinearities, Swiss banknote data that is a linearly separable data (LSD), student pass/fail determination using student attributes, 18 pass/fail determinations using exam scores, Japanese automobile data, and six microarray datasets (the datasets) that are LSD. We developed the 100-fold cross-validation for the small sample method (Method 1) instead of the LOO method. We proposed a simple model selection procedure to choose the best model having minimum M2 and Revised IP-OLDF based on MNM criterion was found to be better than other M2s in the above datasets. We compared two statistical LDFs and six MP-based LDFs. Those were Fisher’s LDF, logistic regression, three SVMs, Revised IP-OLDF, and another two OLDFs. Only a hard-margin SVM (H-SVM) and Revised IP-OLDF could discriminate LSD theoretically (Problem 2). We solved the defect of the generalized inverse matrices (Problem 3). For more than 10 years, many researchers have struggled to analyze the microarray dataset that is LSD (Problem 5). If we call the linearly separable model "Matroska," the dataset consists of numerous smaller Matroskas in it. We develop the Matroska feature selection method (Method 2). It finds the surprising structure of the dataset that is the disjoint union of several small Matroskas. Our theory and methods reveal new facts of gene analysis.

Theory And Practice Of Illegitimate Finance

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Author : Rafay, Abdul
language : en
Publisher: IGI Global
Release Date : 2023-09-14

Theory And Practice Of Illegitimate Finance written by Rafay, Abdul and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-14 with Business & Economics categories.

In today's interconnected world, fraud and corruption threaten the integrity of global financial systems, making illicit and illegitimate finance a pressing concern across industries. Editor Abdul Rafay, an esteemed academic scholar in financial crimes, corporate finance, and financial technology, offers the definitive solution to the Theory and Practice of Illegitimate Finance. This premier reference work comprehensively explores all facets of illicit finance, providing invaluable insights and real-world case studies on financial crimes, money laundering, tax evasion, and fraudulent practices. Through meticulous research and analysis, the book equips business owners, policymakers, researchers, and industry professionals with strategies to combat and prevent illicit finance from infiltrating financial institutions and businesses. As an indispensable resource for academicians and students, Theory and Practice of Illegitimate Finance empowers readers to tackle the complexities of illicit finance. Abdul Rafay's unparalleled expertise, evident from his successful editing of previous books and numerous research papers, enhances the book's credibility. By embracing the transformative journey offered by the book's insights, readers from all walks of life can contribute to a more transparent and accountable financial world, ensuring the integrity of global finance systems and paving the way for a brighter and more secure future.

Big Data Cloud Computing And Data Science Engineering

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Author : Roger Lee
language : en
Publisher: Springer
Release Date : 2019-07-30

Big Data Cloud Computing And Data Science Engineering written by Roger Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-30 with Computers categories.

This edited book presents the scientific outcomes of the 4th IEEE/ACIS International Conference on Big Data, Cloud Computing, Data Science & Engineering (BCD 2019) which was held on May 29–31, 2019 in Honolulu, Hawaii. The aim of the conference was to bring together researchers and scientists, businessmen and entrepreneurs, teachers, engineers, computer users and students to discuss the numerous fields of computer science and to share their experiences and exchange new ideas and information in a meaningful way. Presenting 15 of the conference’s most promising papers, the book discusses all aspects (theory, applications and tools) of computer and information science, the practical challenges encountered along the way, and the solutions adopted to solve them.

High Dimensional Microarray Data Analysis

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Author : Shuichi Shinmura
language : en
Publisher: Springer
Release Date : 2019-05-14

High Dimensional Microarray Data Analysis written by Shuichi Shinmura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-14 with Medical categories.

This book shows how to decompose high-dimensional microarrays into small subspaces (Small Matryoshkas, SMs), statistically analyze them, and perform cancer gene diagnosis. The information is useful for genetic experts, anyone who analyzes genetic data, and students to use as practical textbooks. Discriminant analysis is the best approach for microarray consisting of normal and cancer classes. Microarrays are linearly separable data (LSD, Fact 3). However, because most linear discriminant function (LDF) cannot discriminate LSD theoretically and error rates are high, no one had discovered Fact 3 until now. Hard-margin SVM (H-SVM) and Revised IP-OLDF (RIP) can find Fact3 easily. LSD has the Matryoshka structure and is easily decomposed into many SMs (Fact 4). Because all SMs are small samples and LSD, statistical methods analyze SMs easily. However, useful results cannot be obtained. On the other hand, H-SVM and RIP can discriminate two classes in SM entirely. RatioSV is the ratioof SV distance and discriminant range. The maximum RatioSVs of six microarrays is over 11.67%. This fact shows that SV separates two classes by window width (11.67%). Such easy discrimination has been unresolved since 1970. The reason is revealed by facts presented here, so this book can be read and enjoyed like a mystery novel. Many studies point out that it is difficult to separate signal and noise in a high-dimensional gene space. However, the definition of the signal is not clear. Convincing evidence is presented that LSD is a signal. Statistical analysis of the genes contained in the SM cannot provide useful information, but it shows that the discriminant score (DS) discriminated by RIP or H-SVM is easily LSD. For example, the Alon microarray has 2,000 genes which can be divided into 66 SMs. If 66 DSs are used as variables, the result is a 66-dimensional data. These signal data can be analyzed to find malignancy indicators by principal component analysis and cluster analysis.

The First Discriminant Theory Of Linearly Separable Data

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Author : Shuichi Shinmura
language : en
Publisher: Springer Nature
Release Date : 2024-04-12

The First Discriminant Theory Of Linearly Separable Data written by Shuichi Shinmura and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-12 with Mathematics categories.

This 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 Method 2 (Program 3), that splits microarray into many SMs. Program4 can split microarray into many BGSs. Then, the wide columnLSD (Revolution-0), such as microarray (np), is found to have several Matryoshka dolls, including SM up to BGS./p Theory3 shows the surprising results of six ordinary data re-analyzed by Theory1 and Theory2 knowledge. Essence of Theory3 is described by using cephalopelvic disproportion (CPD) data. RIP discriminates CPD data (240*19) and finds two misclassifications unique for cesarean and natural-born groups. CPD238 omitting two patients becomes LSD, which is the first case selection method. Program4 finds BGS (14 vars.) the only variable selection method for Theory3. 32 (=25) models, including BGS, become LSD among (219−1) models. Because Program2 confirms BGS has the minimum average error rate, BGS is the most compact and best model satisfying Occam’s Razor. With this book, physicians obtain complete diagnostic results for disease, and engineers can become a true data scientist, by obtaining integral knowledge ofstatistics and mathematical programming with simple programs.

Sofsem 2001 Theory And Practice Of Informatics

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Author : Leszek Pacholski
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-07

Sofsem 2001 Theory And Practice Of Informatics written by Leszek Pacholski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-07 with Computers categories.

This book constitutes the refereed proceedings of the 28th Conference on Current Trends in Theory and Practice of Informatics, SOFSEM 2001, held in Piestany, Slovak Republic, in November/December 2001. Teh volume presents 12 invited lectures and one keynote paper by leading researchers together with 18 revised full research papers selected from 46 submissions. The papers span the whole range of informatics with emphasis on trends in informatics, enabling technologies for global computing, and practical systems engineering.

Discriminant Analysis And Applications

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Author : Theophilos Cacoullos
language : en
Publisher:
Release Date : 1973

Discriminant Analysis And Applications written by Theophilos Cacoullos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with MATHEMATICS categories.

Advances In Computer Vision And Computational Biology

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Author : Hamid R. Arabnia
language : en
Publisher: Springer Nature
Release Date : 2021-08-05

Advances In Computer Vision And Computational Biology written by Hamid R. Arabnia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-05 with Technology & Engineering categories.

The book presents the proceedings of four conferences: The 24th International Conference on Image Processing, Computer Vision, & Pattern Recognition (IPCV'20), The 6th International Conference on Health Informatics and Medical Systems (HIMS'20), The 21st International Conference on Bioinformatics & Computational Biology (BIOCOMP'20), and The 6th International Conference on Biomedical Engineering and Sciences (BIOENG'20). The conferences took place in Las Vegas, NV, USA, July 27-30, 2020, and are part of the larger 2020 World Congress in Computer Science, Computer Engineering, & Applied Computing (CSCE'20), which features 20 major tracks. Authors include academics, researchers, professionals, and students. Presents the proceedings of four conferences as part of the 2020 World Congress in Computer Science, Computer Engineering, & Applied Computing (CSCE'20); Includes the tracks on Image Processing, Computer Vision, & Pattern Recognition, Health Informatics & Medical Systems, Bioinformatics, Computational Biology & Biomedical Engineering; Features papers from IPCV'20, HIMS'20, BIOCOMP'20, and BIOENG'20.

Biometric Image Discrimination Technologies

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Author : David Zhang
language : en
Publisher: IGI Global
Release Date : 2006-01-01

Biometric Image Discrimination Technologies written by David Zhang and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Computers categories.

"The book gives an introduction to basic biometric image discrimination technologies including theories that are the foundations of those technologies and new algorithms for biometrics authentication"--Provided by publisher.

General Theory Of Statistics

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Author : Victor Aladjev
language : en
Publisher: Fultus Corporation
Release Date : 2004

General Theory Of Statistics written by Victor Aladjev and has been published by Fultus Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Book Description The present book is a statistical course for undergraduate students in all fields of social and economic sciences. The book presents a manual on the course "General Theory of Statistics", including a series of not quite traditional topics. First of all, it concerns the mathematical bases of statistics and use of computer technologies in statistical probing. Thematic choice of the chapters and sections of the book is caused not only by interests and tastes of the authors, but also by modern tendencies in applied statistics and orientation of the given work. The book is based on a course of lectures given by the first author for undergraduates in social and economic sciences along with three books published in Russian and English in Estonia, Lithuania and Byelorussia. This book has been written for a large enough audience of teachers, researchers, statisticians, students, collegians and users of statistics in behavioral and social sciences. Above all, the book is directed to a wide circle of the readers studying statistical disciplines in high schools and colleges; however, it can be useful also to persons independently studying statistics. Author Biography (Aladjev V.Z.) Professor Aladjev V.Z. was born on June 14, 1942 in the town Grodno (Byelorussia). Now, he is the First vice-president of the International Academy of Noosphere and the president of Tallinn Research Group, whose scientific results have received international recognition, first, in the field of mathematical theory of Cellular Automata (CA). He is member of a series of Russian and International Academies. Aladjev V. Z. is the author of more than 330 scientific publications, including 63 books, published in many countries. He participates as a member of the organizing committee and/or a guest lecturer in many international scientific forums in mathematics and cybernetics. Author Biography (Haritonov V.N.) Dr. Haritonov V.N. was born on August 2, 1946 in the town Nizhni Novgorod (Russia). On successful graduation from Tallinn Technical University, he has acquired a profession of economics. Since 1972, Haritonov V.N. has the respectable positions in the Estonian banking system. Now, he is the Chairman of the Board of Tallinn Business Bank. Most considerable methodological projects and practical results of Haritonov V.N. are related to economic sciences, and, above all, to banking field, including automation of banking system, banking statistics, etc. Along with a series of publications, Haritonov V.N. has participated in many scientific and applied forums on banking economics.