New Theory Of Discriminant Analysis After R Fisher

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New Theory of Discriminant Analysis After R. Fisher

Author : Shuichi Shinmura
Publisher : Springer
ISBN 13 : 9811021643
Total Pages : 221 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis New Theory of Discriminant Analysis After R. Fisher by : Shuichi Shinmura

Download or read book New Theory of Discriminant Analysis After R. Fisher written by Shuichi Shinmura and published by Springer. This book was released on 2016-12-27 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The First Discriminant Theory of Linearly Separable Data

Author : Shuichi Shinmura
Publisher : Springer Nature
ISBN 13 : 9819994209
Total Pages : 373 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis The First Discriminant Theory of Linearly Separable Data by : Shuichi Shinmura

Download or read book The First Discriminant Theory of Linearly Separable Data written by Shuichi Shinmura and published by Springer Nature. This book was released on with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt:

High-dimensional Microarray Data Analysis

Author : Shuichi Shinmura
Publisher : Springer
ISBN 13 : 9811359989
Total Pages : 419 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis High-dimensional Microarray Data Analysis by : Shuichi Shinmura

Download or read book High-dimensional Microarray Data Analysis written by Shuichi Shinmura and published by Springer. This book was released on 2019-05-14 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ratio of 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.

Advances in Computer Vision and Computational Biology

Author : Hamid R. Arabnia
Publisher : Springer Nature
ISBN 13 : 3030710513
Total Pages : 903 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Advances in Computer Vision and Computational Biology by : Hamid R. Arabnia

Download or read book Advances in Computer Vision and Computational Biology written by Hamid R. Arabnia and published by Springer Nature. This book was released on 2021-08-05 with total page 903 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory and Practice of Illegitimate Finance

Author : Rafay, Abdul
Publisher : IGI Global
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.3/5 (693 download)

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Book Synopsis Theory and Practice of Illegitimate Finance by : Rafay, Abdul

Download or read book Theory and Practice of Illegitimate Finance written by Rafay, Abdul and published by IGI Global. This book was released on 2023-09-14 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Roger Lee
Publisher : Springer
ISBN 13 : 3030244059
Total Pages : 214 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Big Data, Cloud Computing, and Data Science Engineering by : Roger Lee

Download or read book Big Data, Cloud Computing, and Data Science Engineering written by Roger Lee and published by Springer. This book was released on 2019-07-30 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The First Discriminant Theory of Linearly Separable Data

Author : Shuichi Shinmura
Publisher : Springer
ISBN 13 : 9789819994199
Total Pages : 0 pages
Book Rating : 4.9/5 (941 download)

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Book Synopsis The First Discriminant Theory of Linearly Separable Data by : Shuichi Shinmura

Download or read book The First Discriminant Theory of Linearly Separable Data written by Shuichi Shinmura and published by Springer. This book was released on 2024-03-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 column LSD (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 of statistics and mathematical programming with simple programs.

SOFSEM 2001: Theory and Practice of Informatics

Author : Leszek Pacholski
Publisher : Springer
ISBN 13 : 3540456279
Total Pages : 357 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis SOFSEM 2001: Theory and Practice of Informatics by : Leszek Pacholski

Download or read book SOFSEM 2001: Theory and Practice of Informatics written by Leszek Pacholski and published by Springer. This book was released on 2003-06-30 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: SOFSEM 2001, the International Conference on Current Trends in Theory and Practice of Informatics, was held on November 24 – December 1, 2001 in the ? well-known spa Pie?stany, Slovak Republic. This was the 28th annual conference in the SOFSEM series organized either in the Slovak or the Czech Republic. SOFSEM has a well-established tradition. Currently it is a broad, multid- ciplinary conference, devoted to the theory and practice of software systems. Its aim is to foster cooperation among professionals from academia and industry working in various areas of informatics. The scienti?c program of SOFSEM consists of invited talks, which determine the topics of the conference, and short contributed talks presenting original - sults. The topics of the invited talks are chosen so as to cover the whole range from theory to practice and to bring interesting research areas to the attention of conference participants. For the year 2001, the following three directions were chosen for presentation by the SOFSEM Steering Committee: – Trends in Informatics – Enabling Technologies for Global Computing – Practical Systems Engineering and Applications The above directions were covered through 12 invited talks presented by pro- nent researchers. There were 18 contributed talks, selected by the international Program Committee from among 46 submitted papers. The conference was also accompanied by workshops on Electronic Commerce Systems (coordinated by H. D. Zimmermann) and Soft Computing (coordinated by P. H ́ajek).

Databases Theory and Applications

Author : Muhammad Aamir Cheema
Publisher : Springer
ISBN 13 : 3319469223
Total Pages : 507 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Databases Theory and Applications by : Muhammad Aamir Cheema

Download or read book Databases Theory and Applications written by Muhammad Aamir Cheema and published by Springer. This book was released on 2016-09-20 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 27th Australasian Database Conference, ADC 2016, held in Sydney, NSW, Australia, in September 2016. The 33 full papers presented together with 11 demo papers were carefully reviewed and selected from 55 submissions. The mission of ADC is to share novel research solutions to problems of today’s information society that fulfill the needs of heterogeneous applications and environments and to identify new issues and directions for future research. The topics of the presented papers are related to all practical and theoretical aspects of advanced database theory and applications, as well as case studies and implementation experiences.

Advanced Data Mining and Applications

Author : Reda Alhajj
Publisher : Springer
ISBN 13 : 3540738711
Total Pages : 651 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Advanced Data Mining and Applications by : Reda Alhajj

Download or read book Advanced Data Mining and Applications written by Reda Alhajj and published by Springer. This book was released on 2007-08-14 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Advanced Data Mining and Applications, ADMA 2007, held in Harbin, China in August 2007. The papers focus on advancements in data mining and peculiarities and challenges of real world applications using data mining.

Brain-Computer Interfaces

Author : Jonathan Wolpaw
Publisher : OUP USA
ISBN 13 : 0195388852
Total Pages : 419 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis Brain-Computer Interfaces by : Jonathan Wolpaw

Download or read book Brain-Computer Interfaces written by Jonathan Wolpaw and published by OUP USA. This book was released on 2012-01-24 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 15 years, a recognizable surge in the field of Brain Computer Interface (BCI) research and development has emerged. This emergence has sprung from a variety of factors. For one, inexpensive computer hardware and software is now available and can support the complex high-speed analyses of brain activity that is essential is BCI. Another factor is the greater understanding of the central nervous system including the abundance of new information on the nature and functional correlates of brain signals and improved methods for recording these signals in both the short-term and long-term. And the third, and perhaps most significant factor, is the new recognition of the needs and abilities of people disabled by disorders such as cerebral palsy, spinal cord injury, stroke, amyotrophic lateral sclerosis (ALS), multiple sclerosis, and muscular dystrophies. The severely disabled are now able to live for many years and even those with severely limited voluntary muscle control can now be given the most basic means of communication and control because of the recent advances in the technology, research, and applications of BCI. This book is intended to provide an introduction to and summary of essentially all major aspects of BCI research and development. Its goal is to be a comprehensive, balanced, and coordinated presentation of the field's key principles, current practice, and future prospects.

Discriminant Analysis and Applications

Author : T. Cacoullos
Publisher : Academic Press
ISBN 13 : 1483268713
Total Pages : 455 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Discriminant Analysis and Applications by : T. Cacoullos

Download or read book Discriminant Analysis and Applications written by T. Cacoullos and published by Academic Press. This book was released on 2014-05-10 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discriminant Analysis and Applications comprises the proceedings of the NATO Advanced Study Institute on Discriminant Analysis and Applications held in Kifissia, Athens, Greece in June 1972. The book presents the theory and applications of Discriminant analysis, one of the most important areas of multivariate statistical analysis. This volume contains chapters that cover the historical development of discriminant analysis methods; logistic and quasi-linear discrimination; and distance functions. Medical and biological applications, and computer graphical analysis and graphical techniques for multidimensional data are likewise discussed. Statisticians, mathematicians, and biomathematicians will find the book very interesting.

General Theory of Statistics

Author : Victor Aladjev
Publisher : Fultus Corporation
ISBN 13 : 1596820128
Total Pages : 244 pages
Book Rating : 4.5/5 (968 download)

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Book Synopsis General Theory of Statistics by : Victor Aladjev

Download or read book General Theory of Statistics written by Victor Aladjev and published by Fultus Corporation. This book was released on 2004 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Middles Procedure

Author : William R. Clarke
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.:/5 (233 download)

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Book Synopsis The Middles Procedure by : William R. Clarke

Download or read book The Middles Procedure written by William R. Clarke and published by . This book was released on 1975 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Biometric Image Discrimination Technologies

Author : David Zhang
Publisher : IGI Global
ISBN 13 : 1591408326
Total Pages : 358 pages
Book Rating : 4.5/5 (914 download)

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Book Synopsis Biometric Image Discrimination Technologies by : David Zhang

Download or read book Biometric Image Discrimination Technologies written by David Zhang and published by IGI Global. This book was released on 2006-01-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Statistical Methods of Discrimination and Classification

Author : Sung C. Choi
Publisher : Elsevier
ISBN 13 : 1483190986
Total Pages : 145 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Statistical Methods of Discrimination and Classification by : Sung C. Choi

Download or read book Statistical Methods of Discrimination and Classification written by Sung C. Choi and published by Elsevier. This book was released on 2014-05-17 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Methods of Discrimination and Classification: Advances in Theory and Applications is a collection of papers that tackles the multivariate problems of discriminating and classifying subjects into exclusive population. The book presents 13 papers that cover that advancement in the statistical procedure of discriminating and classifying. The studies in the text primarily focus on various methods of discriminating and classifying variables, such as multiple discriminant analysis in the presence of mixed continuous and categorical data; choice of the smoothing parameter and efficiency of k-nearest neighbor classification; and assessing the performance of an allocation rule. The book will be of great use to researchers and practitioners of wide array of scientific disciplines, including engineering, psychology, biology, and physics.

Image Analysis and Recognition

Author : Aurélio Campilho
Publisher : Springer Nature
ISBN 13 : 3030505162
Total Pages : 445 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Image Analysis and Recognition by : Aurélio Campilho

Download or read book Image Analysis and Recognition written by Aurélio Campilho and published by Springer Nature. This book was released on 2020-06-19 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set LNCS 12131 and LNCS 12132 constitutes the refereed proceedings of the 17th International Conference on Image Analysis and Recognition, ICIAR 2020, held in Póvoa de Varzim, Portugal, in June 2020. The 54 full papers presented together with 15 short papers were carefully reviewed and selected from 123 submissions. The papers are organized in the following topical sections: image processing and analysis; video analysis; computer vision; 3D computer vision; machine learning; medical image and analysis; analysis of histopathology images; diagnosis and screening of ophthalmic diseases; and grand challenge on automatic lung cancer patient management. Due to the corona pandemic, ICIAR 2020 was held virtually only.