Principal Component Analysis And Randomness Tests For Big Data Analysis
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Principal Component Analysis And Randomness Test For Big Data Analysis
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Author : Mieko Tanaka-Yamawaki
language : en
Publisher: Springer Nature
Release Date : 2023-05-23
Principal Component Analysis And Randomness Test For Big Data Analysis written by Mieko Tanaka-Yamawaki and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-23 with Business & Economics categories.
This book presents the novel approach of analyzing large-sized rectangular-shaped numerical data (so-called big data). The essence of this approach is to grasp the "meaning" of the data instantly, without getting into the details of individual data. Unlike conventional approaches of principal component analysis, randomness tests, and visualization methods, the authors' approach has the benefits of universality and simplicity of data analysis, regardless of data types, structures, or specific field of science. First, mathematical preparation is described. The RMT-PCA and the RMT-test utilize the cross-correlation matrix of time series, C = XXT, where X represents a rectangular matrix of N rows and L columns and XT represents the transverse matrix of X. Because C is symmetric, namely, C = CT, it can be converted to a diagonal matrix of eigenvalues by a similarity transformation SCS-1 = SCST using an orthogonal matrix S. When N is significantly large, the histogram of the eigenvalue distribution can be compared to the theoretical formula derived in the context of the random matrix theory (RMT, in abbreviation). Then the RMT-PCA applied to high-frequency stock prices in Japanese and American markets is dealt with. This approach proves its effectiveness in extracting "trendy" business sectors of the financial market over the prescribed time scale. In this case, X consists of N stock- prices of length L, and the correlation matrix C is an N by N square matrix, whose element at the i-th row and j-th column is the inner product of the price time series of the length L of the i-th stock and the j-th stock of the equal length L. Next, the RMT-test is applied to measure randomness of various random number generators, including algorithmically generated random numbers and physically generated random numbers. The book concludes by demonstrating two applications of the RMT-test: (1) a comparison of hash functions, and (2) stock prediction by means of randomness, including a new index of off-randomness related to market decline.
Principal Component Analysis And Randomness Tests For Big Data Analysis
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Author : Mieko Tanaka-Yamawaki
language : en
Publisher: Springer
Release Date : 2022-09-11
Principal Component Analysis And Randomness Tests For Big Data Analysis written by Mieko Tanaka-Yamawaki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-11 with Business & Economics categories.
This book presents the novel approach of analyzing large-sized numerical data (so-called big data). The essence of this approach is to grasp the "meaning" of the data instantly, without getting into the details of individual data. Unlike conventional approaches of principal component analysis, randomness tests, and visualization methods, the authors' approach has the benefits of universality and simplicity of data analysis, regardless of data types, structures, or specific field of science. First, mathematical preparation is described. The RMT-PCA and the RMT-test utilize the cross-correlation matrix of time series, C = XXT, where X represents a rectangular matrix of N rows and L columns and XT represents the transverse matrix of X. The RMT-PCA uses N samples of time series of length L. The RMT-test uses N elements of length L by cutting a single data to N pieces. Because C is symmetric, namely, C = CT, it can be converted to a diagonal matrix of eigenvalues by a similarity transformation SCST using an orthogonal matrix S. When N is significantly large, the histogram of the eigenvalue distribution can be compared to the theoretical formula derived in the context of the random matrix theory (RMT, in abbreviation). Then the RMT-PCA is applied to high-frequency stock prices in Japanese and American markets. This approach proves its effectiveness in extracting "trendy" business sectors of the financial market over the prescribed time scale. In this case, X consists of N stock- prices of length L, and the correlation matrix C is an N by N square matrix, whose element at the i-th row and j-th column is the inner product of the price time series of the length L of the i-th stock and the j-th stock of the equal length L. Next, the RMT-test is applied to measure randomness of various random number generators, including algorithmically generated random numbers and physically generated random numbers. The book concludes by demonstrating three applications of the RMT-test: (1) a comparison of hash functions, (2) choice of safe stocks, and (3) prediction of stock index by means of a sudden change of randomness.
Perspectives On Big Data Analysis
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Author : S. Ejaz Ahmed
language : en
Publisher: American Mathematical Society
Release Date : 2014-08-20
Perspectives On Big Data Analysis written by S. Ejaz Ahmed and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-20 with Computers categories.
This volume contains the proceedings of the International Workshop on Perspectives on High-dimensional Data Analysis II, held May 30-June 1, 2012, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. This book collates applications and methodological developments in high-dimensional statistics dealing with interesting and challenging problems concerning the analysis of complex, high-dimensional data with a focus on model selection and data reduction. The chapters contained in this book deal with submodel selection and parameter estimation for an array of interesting models. The book also presents some surprising results on high-dimensional data analysis, especially when signals cannot be effectively separated from the noise, it provides a critical assessment of penalty estimation when the model may not be sparse, and it suggests alternative estimation strategies. Readers can apply the suggested methodologies to a host of applications and also can extend these methodologies in a variety of directions. This volume conveys some of the surprises, puzzles and success stories in big data analysis and related fields. This book is co-published with the Centre de Recherches Mathématiques.
New Insights On Principal Component Analysis
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Author : Fausto Pedro García Márquez
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-02-07
New Insights On Principal Component Analysis written by Fausto Pedro García Márquez and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-07 with Computers categories.
This book on Principal Component Analysis (PCA) extensively explores the core analyses and case studies within this field, incorporating the latest advancements. Each chapter delves into various disciplines like engineering, administration, economics, and technology, showcasing diverse applications and the utility of PCA. The book emphasizes the integration of PCA with other algorithms and methodologies, highlighting the enhancements achieved through combined approaches. Moreover, the book elucidates updated versions or iterations of PCA, detailing their descriptions and practical applications.
Smart Grid Using Big Data Analytics
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Author : Robert C. Qiu
language : en
Publisher: John Wiley & Sons
Release Date : 2017-02-08
Smart Grid Using Big Data Analytics written by Robert C. Qiu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-08 with Technology & Engineering categories.
This book is aimed at students in communications and signal processing who want to extend their skills in the energy area. It describes power systems and why these backgrounds are so useful to smart grid, wireless communications being very different to traditional wireline communications.
Robust Multivariate Analysis
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Author : David J. Olive
language : en
Publisher: Springer
Release Date : 2017-11-28
Robust Multivariate Analysis written by David J. Olive and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-28 with Mathematics categories.
This text presents methods that are robust to the assumption of a multivariate normal distribution or methods that are robust to certain types of outliers. Instead of using exact theory based on the multivariate normal distribution, the simpler and more applicable large sample theory is given. The text develops among the first practical robust regression and robust multivariate location and dispersion estimators backed by theory. The robust techniques are illustrated for methods such as principal component analysis, canonical correlation analysis, and factor analysis. A simple way to bootstrap confidence regions is also provided. Much of the research on robust multivariate analysis in this book is being published for the first time. The text is suitable for a first course in Multivariate Statistical Analysis or a first course in Robust Statistics. This graduate text is also useful for people who are familiar with the traditional multivariate topics, but want to know more about handling data sets with outliers. Many R programs and R data sets are available on the author’s website.
Individual Differences And Personality
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Author : Colin Cooper
language : en
Publisher: Routledge
Release Date : 2020-09-30
Individual Differences And Personality written by Colin Cooper and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-30 with Psychology categories.
Individual Differences and Personality provides a student-friendly introduction to both classic and cutting-edge research into personality, mood, motivation and intelligence, and their applications in psychology and in fields such as health, education and sporting achievement. Including a new chapter on 'toxic' personality traits, and an additional chapter on applications in real-life settings, this fourth edition has been thoroughly updated and uniquely covers the necessary psychometric methodology needed to understand modern theories. It also develops deep processing and effective learning by encouraging a critical evaluation of both older and modern theories and methodologies, including the Dark Triad, emotional intelligence and psychopathy. Gardner’s and hierarchical theories of intelligence, and modern theories of mood and motivation are discussed and evaluated, and the processes which cause people to differ in personality and intelligence are explored in detail. Six chapters provide a non-mathematical grounding in psychometric principles, such as factor analysis, reliability, validity, bias, test-construction and test-use. With self-assessment questions, further reading and a companion website including student and instructor resources, this is the ideal resource for anyone taking modules on personality and individual differences.
Data Science For Genomics
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Author : Amit Kumar Tyagi
language : en
Publisher: Academic Press
Release Date : 2022-11-27
Data Science For Genomics written by Amit Kumar Tyagi and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-27 with Science categories.
Data Science for Genomics presents the foundational concepts of data science as they pertain to genomics, encompassing the process of inspecting, cleaning, transforming, and modeling data with the goal of discovering useful information, suggesting conclusions and supporting decision-making. Sections cover Data Science, Machine Learning, Deep Learning, data analysis, and visualization techniques. The authors then present the fundamentals of Genomics, Genetics, Transcriptomes and Proteomes as basic concepts of molecular biology, along with DNA and key features of the human genome, as well as the genomes of eukaryotes and prokaryotes. Techniques that are more specifically used for studying genomes are then described in the order in which they are used in a genome project, including methods for constructing genetic and physical maps. DNA sequencing methodology and the strategies used to assemble a contiguous genome sequence and methods for identifying genes in a genome sequence and determining the functions of those genes in the cell. Readers will learn how the information contained in the genome is released and made available to the cell, as well as methods centered on cloning and PCR. - Provides a detailed explanation of data science concepts, methods and algorithms, all reinforced by practical examples that are applied to genomics - Presents a roadmap of future trends suitable for innovative Data Science research and practice - Includes topics such as Blockchain technology for securing data at end user/server side - Presents real world case studies, open issues and challenges faced in Genomics, including future research directions and a separate chapter for Ethical Concerns
Comprehensive Guide To Statistics
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Author : Mohit Chatterjee
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Comprehensive Guide To Statistics written by Mohit Chatterjee and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
This comprehensive textbook offers an in-depth exploration of various topics in statistics, ranging from probability theory and statistical inference to machine learning and data analysis. It balances theoretical rigor and practical applications, catering to both undergraduate and graduate students, as well as professionals in the field of statistics and related disciplines. The book begins with foundational concepts in probability theory, covering random variables, probability distributions, and expectation. It then delves into statistical inference, discussing estimation, hypothesis testing, and regression analysis. Advanced topics like Bayesian statistics, machine learning algorithms, and resampling methods are also explored. Key strengths of this textbook include clear and concise explanations, numerous examples, and exercises to reinforce learning. The accessible yet rigorous writing style makes complex concepts understandable to readers at various levels of expertise. Modern computational tools and techniques are incorporated, emphasizing practical aspects of statistical analysis in the era of big data. Readers are encouraged to apply their knowledge using software packages like R and Python, enhancing their skills in data analysis and interpretation. This comprehensive and authoritative textbook covers a wide range of topics in statistics, making it an indispensable resource for students, researchers, and practitioners alike. It provides a solid foundation in statistical theory and its real-world applications.
Machine Learning In Biomedical And Health Informatics
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Author : Sudip Kumar Sahana
language : en
Publisher: CRC Press
Release Date : 2025-09-23
Machine Learning In Biomedical And Health Informatics written by Sudip Kumar Sahana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-23 with Technology & Engineering categories.
Machine learning is playing an indispensable role in framing clinical decisions and enhancing accuracy. This new book offers a comprehensive take on the field of biomedical and health informatics, discussing topics that include predictive health analytics, pandemic management, AI ethics, application and integration of Internet of Things and machine learning for effective healthcare, and more. The book covers a range of bioinformatics tools and methods and their relation to drug designing and drug screening using ML. Several chapters cover clustering techniques and other methods for analyzing human heart-related disorders. The authors also explore the use of ML in creating adaptive therapies for using chemotherapy and androgen deprivation therapy for prostate cancer and for tracking diseases such as Parkinson’s Speech, Covid-19, and others. Case studies are included that demonstrate the practical use of ML in healthcare informatics.