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ROC Analysis for Classification and Prediction in Practice
by Christos NakasThis book presents a unified and up-to-date introduction to ROC methodologies, covering both diagnosis (classification) and prediction. The emphasis is on the conceptual underpinning of ROC analysis and the practical implementation in diverse scientific fields. A plethora of examples accompany the methodologic discussion using standard statistical software such as R and STATA. The book arrives after two decades of intensive growth in both the methods and the applications of ROC analysis and presents a new synthesis. The authors provide a contemporary, integrated exposition of ROC methodology for both classification and prediction and include material on multiple-class ROC. This book avoids lengthy technical exposition and provides code and datasets in each chapter. ROC Analysis for Classification and Prediction in Practice is intended for researchers and graduate students, but will also be useful for those that use ROC analysis in diverse disciplines such as diagnostic medicine, bioinformatics, medical physics, and perception psychology.
ROC Curves for Continuous Data (ISSN #111)
by David J. Hand Wojtek J. KrzanowskiSince ROC curves have become ubiquitous in many application areas, the various advances have been scattered across disparate articles and texts. ROC Curves for Continuous Data is the first book solely devoted to the subject, bringing together all the relevant material to provide a clear understanding of how to analyze ROC curves.The fundamenta
RSA and Public-Key Cryptography
by Richard A. MollinAlthough much literature exists on the subject of RSA and public-key cryptography, until now there has been no single source that reveals recent developments in the area at an accessible level. Acclaimed author Richard A. Mollin brings together all of the relevant information available on public-key cryptography (PKC), from RSA to the latest applic
RStudio for R Statistical Computing Cookbook
by Andrea CirilloOver 50 practical and useful recipes to help you perform data analysis with R by unleashing every native RStudio feature About This Book * 54 useful and practical tasks to improve working systems * Includes optimizing performance and reliability or uptime, reporting, system management tools, interfacing to standard data ports, and so on * Offers 10-15 real-life, practical improvements for each user type Who This Book Is For This book is targeted at R statisticians, data scientists, and R programmers. Readers with R experience who are looking to take the plunge into statistical computing will find this Cookbook particularly indispensable. What You Will Learn * Familiarize yourself with the latest advanced R console features * Create advanced and interactive graphics * Manage your R project and project files effectively * Perform reproducible statistical analyses in your R projects * Use RStudio to design predictive models for a specific domain-based application * Use RStudio to effectively communicate your analyses results and even publish them to a blog * Put yourself on the frontiers of data science and data monetization in R with all the tools that are needed to effectively communicate your results and even transform your work into a data product In Detail The requirement of handling complex datasets, performing unprecedented statistical analysis, and providing real-time visualizations to businesses has concerned statisticians and analysts across the globe. RStudio is a useful and powerful tool for statistical analysis that harnesses the power of R for computational statistics, visualization, and data science, in an integrated development environment. This book is a collection of recipes that will help you learn and understand RStudio features so that you can effectively perform statistical analysis and reporting, code editing, and R development. The first few chapters will teach you how to set up your own data analysis project in RStudio, acquire data from different data sources, and manipulate and clean data for analysis and visualization purposes. You'll get hands-on with various data visualization methods using ggplot2, and you will create interactive and multidimensional visualizations with D3.js. Additional recipes will help you optimize your code; implement various statistical models to manage large datasets; perform text analysis and predictive analysis; and master time series analysis, machine learning, forecasting; and so on. In the final few chapters, you'll learn how to create reports from your analytical application with the full range of static and dynamic reporting tools that are available in RStudio so that you can effectively communicate results and even transform them into interactive web applications. Style and approach RStudio is an open source Integrated Development Environment (IDE) for the R platform. The R programming language is used for statistical computing and graphics, which RStudio facilitates and enhances through its integrated environment. This Cookbook will help you learn to write better R code using the advanced features of the R programming language using RStudio. Readers will learn advanced R techniques to compute the language and control object evaluation within R functions. Some of the contents are: * Accessing an API with R * Substituting missing values by interpolation * Performing data filtering activities * R Statistical implementation for Geospatial data * Developing shiny add-ins to expand RStudio functionalities * Using GitHub with RStudio * Modelling a recommendation engine with R * Using R Markdown for static and dynamic reporting * Curating a blog through RStudio * Advanced statistical modelling with R and RStudio
Rabi N. Bhattacharya
by Manfred Denker Edward C. WaymireThis volume presents some of the most influential papers published by Rabi N. Bhattacharya, along with commentaries from international experts, demonstrating his knowledge, insight, and influence in the field of probability and its applications. For more than three decades, Bhattacharya has made significant contributions in areas ranging from theoretical statistics via analytical probability theory, Markov processes, and random dynamics to applied topics in statistics, economics, and geophysics. Selected reprints of Bhattacharya's papers are divided into three sections: Modes of Approximation, Large Times for Markov Processes, and Stochastic Foundations in Applied Sciences. The accompanying articles by the contributing authors not only help to position his work in the context of other achievements, but also provide a unique assessment of the state of their individual fields, both historically and for the next generation of researchers. Rabi N. Bhattacharya: Selected Papers will be a valuable resource for young researchers entering the diverse areas of study to which Bhattacharya has contributed. Established researchers will also appreciate this work as an account of both past and present developments and challenges for the future.
Race After Technology: Abolitionist Tools for the New Jim Code
by Ruha BenjaminFrom everyday apps to complex algorithms, Ruha Benjamin cuts through tech-industry hype to understand how emerging technologies can reinforce White supremacy and deepen social inequity. Benjamin argues that automation, far from being a sinister story of racist programmers scheming on the dark web, has the potential to hide, speed up, and deepen discrimination while appearing neutral and even benevolent when compared to the racism of a previous era. Presenting the concept of the “New Jim Code,” she shows how a range of discriminatory designs encode inequity by explicitly amplifying racial hierarchies; by ignoring but thereby replicating social divisions; or by aiming to fix racial bias but ultimately doing quite the opposite. Moreover, she makes a compelling case for race itself as a kind of technology, designed to stratify and sanctify social injustice in the architecture of everyday life. This illuminating guide provides conceptual tools for decoding tech promises with sociologically informed skepticism. In doing so, it challenges us to question not only the technologies we are sold but also the ones we ourselves manufacture.
Race and Gender in Electronic Media: Content, Context, Culture (Electronic Media Research Series)
by Rebecca Ann LindThis volume examines the consequences, implications, and opportunities associated with issues of diversity in the electronic media. With a focus on race and gender, the chapters represent diverse approaches, including social scientific, humanistic, critical, and rhetorical. The contributors consider race and gender issues in both historical and contemporary electronic media, and their work is presented in three sections: content, context (audiences, effects, and reception), and culture (media industries, policy, and production). In this book, the authors investigate, problematize, and theorize a variety of concerns which at their core relate to issues of difference. How do we use media to construct and understand different social groups? How do the media represent and affect our engagement with and responses to different social groups? How can we understand these processes and the environment within which they occur? Although this book focuses on the differences associated with race and gender, the questions raised by and the theoretical perspectives presented in the chapters are applicable to other forms of socially-constructed difference. Chapters 5, 10, 12, and 19 of this book are freely available as downloadable Open Access PDFs at http://www.taylorfrancis.com under a Creative Commons Attribution-Non Commercial-No Derivatives (CC-BY-NC-ND) 4.0 license.
Race and Racism in Britain: Fourth Edition
by John SolomosThis Fourth Edition of a pioneering handbook provides a critical analysis of the origins and evolution of political and policy debates regarding race and racism in British society. Drawing on a broad range of both theoretical and historical research, the focus of the book is on the development of policies and debates in the period from the second half of the 20th Century to the present. The book is organized into twelve chapters which provide an overview of key trends, situating the development of policies and developments in relation to immigration and citizenship, race relations policies and broader agendas about multiculturalism and living with difference. In the substantive chapters of the book there is also a detailed discussion of such issues as policing, urban unrest and protest, racist politics, black and ethnic minority politics and conversations about multiculturalism. This new edition engages with both the historical background as well as contemporary developments to provide a novel and wide-ranging account of the role that questions about race and racism play in British society.
Racial and Ethnic Residential Segregation Across the United States: New Approaches to Understanding Trends and Patterns (The Springer Series on Demographic Methods and Population Analysis #54)
by Amber R. Crowell Mark A. FossettThis open access book provides new findings on and insights into trends and patterns in residential segregation between racial and ethnic groups in the United States. It draws on new methods that make it possible to investigate segregation involving small groups and segregation patterns in nonmetropolitan communities with greater accuracy and clarity than has previously been possible. As one example, the authors are able to track residential segregation patterns across a wide selection of nonmetropolitan communities where Black, Latino, and Asian populations are small but can still potentially experience segregation. The authors also track White-Latino segregation from its inception when Latino households first arrived in non-negligible numbers in new destination communities and then document how segregation changes over time as the Latino population grows over time to become larger and more established. Finally, this work shows how segregation of Latino and Asian households is fundamentally different from that of Black households based on the much greater role that cultural and socioeconomic characteristics play in shaping White-Latino and White-Asian segregation in comparison to White-Black segregation.
Radar Detection Theory of Sliding Window Processes
by Graham WeinbergConstant false alarm rate detection processes are important in radar signal processing. Such detection strategies are used as an alternative to optimal Neyman-Pearson based decision rules, since they can be implemented as a sliding window process running on a radar range-Doppler map. This book examines the development of such detectors in a modern framework. With a particular focus on high resolution X-band maritime surveillance radar, recent approaches are outlined and examined. Performance is assessed when the detectors are run in real X-band radar clutter. The book introduces relevant mathematical tools to allow the reader to understand the development, and follow its implementation.
Radar Signal Analysis and Processing Using MATLAB
by Bassem R. MahafzaOffering radar-related software for the analysis and design of radar waveform and signal processing, Radar Signal Analysis and Processing Using MATLAB provides a comprehensive source of theoretical and practical information on radar signals, signal analysis, and radar signal processing with companion MATLAB code.Aft
Radar Systems Analysis and Design Using MATLAB
by Bassem R. MahafzaDeveloped from the author's graduate-level courses, the first edition of this book filled the need for a comprehensive, self-contained, and hands-on treatment of radar systems analysis and design. It quickly became a bestseller and was widely adopted by many professors. The second edition built on this successful format by rearranging and updating
Radial Basis Function (RBF) Neural Network Control for Mechanical Systems
by Jinkun LiuRadial Basis Function (RBF) Neural Network Control for Mechanical Systems is motivated by the need for systematic design approaches to stable adaptive control system design using neural network approximation-based techniques. The main objectives of the book are to introduce the concrete design methods and MATLAB simulation of stable adaptive RBF neural control strategies. In this book, a broad range of implementable neural network control design methods for mechanical systems are presented, such as robot manipulators, inverted pendulums, single link flexible joint robots, motors, etc. Advanced neural network controller design methods and their stability analysis are explored. The book provides readers with the fundamentals of neural network control system design. This book is intended for the researchers in the fields of neural adaptive control, mechanical systems, Matlab simulation, engineering design, robotics and automation. Jinkun Liu is a professor at Beijing University of Aeronautics and Astronautics.
Radiation-Induced Processes of Adaptation: Research by statistical modelling
by Victoria L. Korogodina Ludmila P. Osipova Boris FlorkoIn recent decades radiobiologists' efforts have been directed at identifying the mechanisms of radiation effects; the general mechanisms have since been studied extensively. This book describes and analyzes radiation-induced adaptation as processes produced in cells, tissues, and populations. This viewpoint helps to understand the nature and factors of induced processes, to determine the characteristics of observed radiation effects and their limitations. The investigations presented here were founded on proper lab experiments, ecological studies of plant population growth near an operating nuclear power plant and a thorough epidemiological examination of human populations living in territories polluted fifty years ago, as well as on relevant published data. This research demonstrates the radiation-induced adaptation processes that continue even when the radiation itself is no longer at a critical background level. The investigations utilized the method of statistical modeling on the basis of distributions on the number of abnormalities. This method allows us to investigate the processes induced by low-dose factors when accompanied by Darwinian selection in different systems; the distribution parameters can then be used to study the characteristics of adaptation processes and system resistance. The consequences of background-level radiation continue to provoke debate, and the mathematical bases of the adaptation model are shown, while due consideration is paid to the components of adaptation: instability, selection, and proliferation. The book will be especially useful to specialists in radiation pollution, ecology, epidemiology, and radiology for studies of radiation-induced processes; the method presented here can also be adapted to investigate low-dose effects in other fields. In addition, the book presents a number of reviews in the fields of radiation biology, including pioneering investigations in Russia which were previously unavailable to Western scientists.
Radiative Transfer: An Introduction to Exact and Asymptotic Methods
by Hélène FrischThis book discusses analytic and asymptotic methods relevant to radiative transfer in dilute media, such as stellar and planetary atmospheres. Several methods, providing exact expressions for the radiation field in a semi-infinite atmosphere, are described in detail and applied to unpolarized and polarized continuous spectra and spectral lines. Among these methods, the Wiener–Hopf method, introduced in 1931 for a stellar atmospheric problem, is used today in fields such as solid mechanics, diffraction theory, or mathematical finance. Asymptotic analyses are carried out on unpolarized and polarized radiative transfer equations and on a discrete time random walk. Applicable when photons undergo a large number of scatterings, they provide criteria to distinguish between large-scale diffusive and non-diffusive behaviors, typical scales of variation of the radiation field, such as the thermalization length, and specific descriptions for regions close and far from boundaries. Its well organized synthetic view of exact and asymptotic methods of radiative transfer makes this book a valuable resource for both graduate students and professional scientists in astrophysics and beyond.
Radical Equations: Civil Rights from Mississippi to the Algebra Project
by Charles E. Cobb Robert MosesAt a time when popular solutions to the educational plight of poor children of color are imposed from the outside—national standards, high-stakes tests, charismatic individual saviors—the acclaimed Algebra Project and its founder, Robert Moses, offer a vision of school reform based in the power of communities. Begun in 1982, the Algebra Project is transforming math education in twenty-five cities. Founded on the belief that math-science literacy is a prerequisite for full citizenship in society, the Project works with entire communities—parents, teachers, and especially students—to create a culture of literacy around algebra, a crucial stepping-stone to college math and opportunity. This book provides a model for anyone looking for a community-based solution to the problems of our disadvantaged schools.
Radical Uncertainty: Decision-making for an unknowable future
by John Kay Mervyn KingLONGLISTED FOR THE FT/MCKINSEY BUSINESS BOOK OF THE YEAR AWARD 2020'A brilliant new book' Daily Telegraph'Well written . . . and often entertaining'The Times'A sparkling analysis'Prospect'Entertaining and enlightening . . . This is a necessary critique and they make it with verve, knowledge and a wealth of stories' Financial Times'An elegant, wise and timely book' Irish Times'Jam-packed with erudition' New StatesmanThis major, critically acclaimed work asks a vitally important question for today: when uncertainty is all around us, and the facts are not clear, how can we make good decisions? We do not know what the future will hold, particularly in the midst of a crisis, but we must make decisions anyway. We regularly crave certainties which cannot exist and invent knowledge we cannot have, forgetting that humans are successful because we have adapted to an environment that we understand only imperfectly. Throughout history we have developed a variety of ways of coping with the radical uncertainty that defines our lives. This incisive and eye-opening book draws on biography, history, mathematics, economics and philosophy to highlight the most successful - and most short-sighted - methods of dealing with an unknowable future. Ultimately, the authors argue, the prevalent method of our age falls short, giving us a false understanding of our power to make predictions, leading to many of the problems we experience today.
Radical Uncertainty: Decision-making for an unknowable future
by John Kay Mervyn KingLONGLISTED FOR THE FT/MCKINSEY BUSINESS BOOK OF THE YEAR AWARD 2020'A brilliant new book' Daily Telegraph'Well written . . . and often entertaining'The Times'A sparkling analysis'Prospect'Entertaining and enlightening . . . This is a necessary critique and they make it with verve, knowledge and a wealth of stories' Financial Times'An elegant, wise and timely book' Irish Times'Jam-packed with erudition' New StatesmanThis major, critically acclaimed work asks a vitally important question for today: when uncertainty is all around us, and the facts are not clear, how can we make good decisions? We do not know what the future will hold, particularly in the midst of a crisis, but we must make decisions anyway. We regularly crave certainties which cannot exist and invent knowledge we cannot have, forgetting that humans are successful because we have adapted to an environment that we understand only imperfectly. Throughout history we have developed a variety of ways of coping with the radical uncertainty that defines our lives. This incisive and eye-opening book draws on biography, history, mathematics, economics and philosophy to highlight the most successful - and most short-sighted - methods of dealing with an unknowable future. Ultimately, the authors argue, the prevalent method of our age falls short, giving us a false understanding of our power to make predictions, leading to many of the problems we experience today.
Radon Transforms and the Rigidity of the Grassmannians (Annals of Mathematics Studies #156)
by Jacques Gasqui Hubert GoldschmidtThis book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary focus is the spectral rigidity problem: Can the metric of a given Riemannian symmetric space of compact type be characterized by means of the spectrum of its Laplacian? It also addresses a question rooted in the Blaschke problem: Is a Riemannian metric on a projective space whose geodesics are all closed and of the same length isometric to the canonical metric? The authors comprehensively treat the results concerning Radon transforms and the infinitesimal versions of these two problems. Their main result implies that most Grassmannians are spectrally rigid to the first order. This is particularly important, for there are still few isospectrality results for positively curved spaces and these are the first such results for symmetric spaces of compact type of rank >1. The authors exploit the theory of overdetermined partial differential equations and harmonic analysis on symmetric spaces to provide criteria for infinitesimal rigidity that apply to a large class of spaces. A substantial amount of basic material about Riemannian geometry, symmetric spaces, and Radon transforms is included in a clear and elegant presentation that will be useful to researchers and advanced students in differential geometry.
Ramanujan
by Vashanti RahamanSrinivasa Ramanujan has been described as a rock-star mathematician. Though he died almost one hundred years ago, his work in mathematics will always be important.
Ramanujan's Lost Notebook, Part IV
by Bruce C. Berndt George E. AndrewsIn the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony.<P><P> This volume is the fourth of five volumes that the authors plan to write on Ramanujan's lost notebook. In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on q-series. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems.
Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study
by Krishnaswami AlladiThe First Edition of the book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians in history whose life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan’s spectacular discoveries and remarkable life with the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. Also, among the articles are reviews of three important books on Ramanujan’s mathematics and life. In addition, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, his path-breaking work in the theory of partitions, and his fundamental observations on quadratic forms, are discussed. Finally, the book describes various current efforts to ensure that the legacy of Ramanujan will be preserved and continue to thrive in the future.This Second Edition is an expanded version of the first with six more articles by the author. Of note is the inclusion of a detailed review of the movie The Man Who Knew Infinity, a description of the fundamental work of the SASTRA Ramanujan Prize Winners, and an account of the Royal Society Conference to honour Ramanujan’s legacy on the centenary of his election as FRS.
Ramified Surfaces: On Branch Curves and Algebraic Geometry in the 20th Century (Frontiers in the History of Science)
by Michael FriedmanThe book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon’s program of braid monodromy factorization.By focusing on how the research on one specific curve changed during the 20th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20th century, considering this curve as an intersection of several research approaches and methods. Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.
Ramsey Theory for Discrete Structures
by Hans Jürgen PrömelThis monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century. The book first presents a detailed discussion of the roots of Ramsey theory before offering a thorough discussion of the role of parameter sets. It presents several examples of structures that can be interpreted in terms of parameter sets and features the most fundamental Ramsey-type results for parameter sets: Hales-Jewett's theorem and Graham-Rothschild¹s Ramsey theorem as well as their canonical versions and several applications. Next, the book steps back to the most basic structure, to sets. It reviews classic results as well as recent progress on Ramsey numbers and the asymptotic behavior of classical Ramsey functions. In addition, it presents product versions of Ramsey's theorem, a combinatorial proof of the incompleteness of Peano arithmetic, provides a digression to discrepancy theory and examines extensions of Ramsey's theorem to larger cardinals. The next part of the book features an in-depth treatment of the Ramsey problem for graphs and hypergraphs. It gives an account on the existence of sparse and restricted Ramsey theorem's using sophisticated constructions as well as probabilistic methods. Among others it contains a proof of the induced Graham-Rothschild theorem and the random Ramsey theorem. The book closes with a chapter on one of the recent highlights of Ramsey theory: a combinatorial proof of the density Hales-Jewett theorem. This book provides graduate students as well as advanced researchers with a solid introduction and reference to the field.