Download or read book A Statistical Evaluation of Algorithms for Independently Seeding Pseudo Random Number Generators of Type Multiplicative Congruential Lehmer Class written by and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: To be effective, a linear congruential random number generator (LCG) should produce values that are (a) uniformly distributed on the unit interval (0,1) excluding endpoints and (b) substantially free of serial correlation. It has been found that many statistical methods produce inflated Type I error rates for correlated observations. Theoretically, independently seeding an LCG under the following conditions attenuates serial correlation: (a) simple random sampling of seeds, (b) non-replicate streams, (c) non-overlapping streams, and (d) non-adjoining streams. Accordingly, 4 algorithms (each satisfying at least 1 condition) were developed: (a) zero-leap, (b) fixed-leap, (c) scaled random-leap, and (d) unscaled random-leap. Note that the latter satisfied all 4 independent seeding conditions. To assess serial correlation, univariate and multivariate simulations were conducted at 3 equally spaced intervals for each algorithm (N=24) and measured using 3 randomness tests: (a) the serial correlation test, (b) the runs up test, and (c) the white noise test. A one-way balanced multivariate analysis of variance (MANOVA) was used to test 4 hypotheses: (a) omnibus, (b) contrast of unscaled vs. others, (c) contrast of scaled vs. others, and (d) contrast of fixed vs. others. The MANOVA assumptions of independence, normality, and homogeneity were satisfied. In sum, the seeding algorithms did not differ significantly from each other (omnibus hypothesis). For the contrast hypotheses, only the fixed-leap algorithm differed significantly from all other algorithms. Surprisingly, the scaled random-leap offered the least difference among the algorithms (theoretically this algorithm should have produced the second largest difference). Although not fully supported by the research design used in this study, it is thought that the unscaled random-leap algorithm is the best choice for independently seeding the multiplicative congruential random number generator. Accordingly, suggestions for f.
Download or read book Evaluation of a Multiplicative Generator of Pseudo random Numbers written by Frederick W. Kuehl and published by . This book was released on 1969 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Numbers and Computers written by Ronald T. Kneusel and published by Springer. This book was released on 2018-04-05 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers pseudorandom number generation algorithms, evaluation techniques, and offers practical advice and code examples. Random Numbers and Computers is an essential introduction or refresher on pseudorandom numbers in computer science. The first comprehensive book on the topic, readers are provided with a practical introduction to the techniques of pseudorandom number generation, including how the algorithms work and how to test the output to decide if it is suitable for a particular purpose. Practical applications are demonstrated with hands-on presentation and descriptions that readers can apply directly to their own work. Examples are in C and Python and given with an emphasis on understanding the algorithms to the point of practical application. The examples are meant to be implemented, experimented with and improved/adapted by the reader.
Download or read book Pseudorandom Number Generators written by Source Wikipedia and published by University-Press.org. This book was released on 2013-09 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 44. Chapters: Alias method, Analog feedback shift register, Blum Blum Shub, Combined Linear Congruential Generator, Complementary sequences, CryptGenRandom, Dual EC DRBG, Entropy (computing), Feedback with Carry Shift Registers, Fortuna (PRNG), Full cycle, Generalized inversive congruential pseudorandom numbers, Inversive congruential generator, Lagged Fibonacci generator, Lehmer random number generator, Linear feedback shift register, List of random number generators, Marsaglia polar method, Mersenne twister, Middle-square method, Multiply-with-carry, Naor-Reingold Pseudorandom Function, Next-bit test, Pseudo-random number sampling, Pseudorandom number generator, Random number generator attack, Random seed, RANDU, RC4, Self-shrinking generator, Solitaire (cipher), Spectral test, Subtract with carry, Well equidistributed long-period linear, Xorshift, Yarrow algorithm, Ziggurat algorithm.
Download or read book Evaluation of a Multiplicative Generator of Pseudo random Numbers written by Frederick W. Kuehl and published by . This book was released on 1969 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present study reports on the development and testing of a pseudo-random number generator which would be able to rapidly supply the SIMPO-I entity models with numbers meeting essential tests for random qualities. The generator developed by BESRL is a power residue or multiplicative generator, the simplest of the many generators based on the linear congruential method. In addition to an acceptable generator, the work accomplished resulted in a compilation of statistical tests which have wider application for evaluating generators used on other computer systems. The tests are described, and essential mathematical formulations are presented. (Author).
Download or read book Evaluation of a Multiplicative Generator of Pseudo random Numbers written by and published by . This book was released on 1969 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present study reports on the development and testing of a pseudo-random number generator which would be able to rapidly supply the SIMPO-I entity models with numbers meeting essential tests for random qualities. The generator developed by BESRL is a power residue or multiplicative generator, the simplest of the many generators based on the linear congruential method. In addition to an acceptable generator, the work accomplished resulted in a compilation of statistical tests which have wider application for evaluating generators used on other computer systems. The tests are described, and essential mathematical formulations are presented. (Author).
Download or read book Consideration of pseudo random number generators choice of parameters of multiplicative congruential methods and its statistical tests written by Y. Kurita and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Exhaustive Analysis of Multiplicative Congruential Random Number Generators with Modulus 2 31 1 written by G. S. Fishman and published by . This book was released on 1984 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents the results of an exhaustive search to find optimal full period multipliers for the multiplicative congruential random number generator with prime modulus 2 to the 31st power -1. Here a multiplier is said to be optimal if the distance between adjacent parallel hyperplanes on which k-tuples lie does not exceed the minimal achievable distance by more than 25 percent for k=2, ...,6. This criterion is considerably more stringent than prevailing standards of acceptability and leads to a total of only 414 multipliers among the more than 534 million candidate multipliers. Section 1 reviews the basic properties of linear congruential generators and Section 2 describes worst case performance measures. These include the maximal distance between adjacent parallel hyperplanes, the minimal number of parallel hyperplanes, the minimal distance between k-tuples, the lattice ratio and the discrepancy. Section 3 presents the five best multipliers and compares their performance with those of three commonly employed multipliers for all measures but the lattice test. Comparisons using packing measures in the space of k-tuples and in the dual space are also made. Section 4 presents the results of applying a battery of statistical tests to the best five to detect local departures from randomness. None were found. The Appendix contains a list of all optimal multipliers. (Author).
Download or read book Numerical Computations with GPUs written by Volodymyr Kindratenko and published by Springer. This book was released on 2014-07-03 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together research on numerical methods adapted for Graphics Processing Units (GPUs). It explains recent efforts to adapt classic numerical methods, including solution of linear equations and FFT, for massively parallel GPU architectures. This volume consolidates recent research and adaptations, covering widely used methods that are at the core of many scientific and engineering computations. Each chapter is written by authors working on a specific group of methods; these leading experts provide mathematical background, parallel algorithms and implementation details leading to reusable, adaptable and scalable code fragments. This book also serves as a GPU implementation manual for many numerical algorithms, sharing tips on GPUs that can increase application efficiency. The valuable insights into parallelization strategies for GPUs are supplemented by ready-to-use code fragments. Numerical Computations with GPUs targets professionals and researchers working in high performance computing and GPU programming. Advanced-level students focused on computer science and mathematics will also find this book useful as secondary text book or reference.
Download or read book The Tomes of Delphi written by Julian Bucknall and published by . This book was released on 2001 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring a wealth of code examples appropriate for practicing developers, this advanced-level guide provides comprehensive coverage of such topics as arrays, binary trees, data compression. The CD includes the author's highly successful freeware library, EZDSL, along with the code from the book.
Download or read book High Performance Computing Systems and Applications written by Nikitas J. Dimopoulos and published by Springer Science & Business Media. This book was released on 2002 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: High Performance Computing Systems and Applications contains a selection of fully refereed papers presented at the 14th International Conference on High Performance Computing Systems and Applications held in Victoria, Canada, in June 2000. This book presents the latest research in HPC Systems and Applications, including distributed systems and architecture, numerical methods and simulation, network algorithms and protocols, computer architecture, distributed memory, and parallel algorithms. It also covers such topics as applications in astrophysics and space physics, cluster computing, numerical simulations for fluid dynamics, electromagnetics and crystal growth, networks and the Grid, and biology and Monte Carlo techniques. High Performance Computing Systems and Applications is suitable as a secondary text for graduate level courses, and as a reference for researchers and practitioners in industry.
Download or read book Data Abstraction and Structures Using C written by Mark R. Headington and published by Jones & Bartlett Learning. This book was released on 1994 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Towards Efficient Fuzzy Information Processing written by Chongfu Huang and published by Physica. This book was released on 2012-11-03 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we learn from books or daily experience, we make associations and draw inferences on the basis of information that is insufficient for under standing. One example of insufficient information may be a small sample derived from observing experiments. With this perspective, the need for de veloping a better understanding of the behavior of a small sample presents a problem that is far beyond purely academic importance. During the past 15 years considerable progress has been achieved in the study of this issue in China. One distinguished result is the principle of in formation diffusion. According to this principle, it is possible to partly fill gaps caused by incomplete information by changing crisp observations into fuzzy sets so that one can improve the recognition of relationships between input and output. The principle of information diffusion has been proven suc cessful for the estimation of a probability density function. Many successful applications reflect the advantages of this new approach. It also supports an argument that fuzzy set theory can be used not only in "soft" science where some subjective adjustment is necessary, but also in "hard" science where all data are recorded.
Download or read book Random Number Generators Principles and Practices written by David Johnston and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random Number Generators, Principles and Practices has been written for programmers, hardware engineers, and sophisticated hobbyists interested in understanding random numbers generators and gaining the tools necessary to work with random number generators with confidence and knowledge. Using an approach that employs clear diagrams and running code examples rather than excessive mathematics, random number related topics such as entropy estimation, entropy extraction, entropy sources, PRNGs, randomness testing, distribution generation, and many others are exposed and demystified. If you have ever Wondered how to test if data is really random Needed to measure the randomness of data in real time as it is generated Wondered how to get randomness into your programs Wondered whether or not a random number generator is trustworthy Wanted to be able to choose between random number generator solutions Needed to turn uniform random data into a different distribution Needed to ensure the random numbers from your computer will work for your cryptographic application Wanted to combine more than one random number generator to increase reliability or security Wanted to get random numbers in a floating point format Needed to verify that a random number generator meets the requirements of a published standard like SP800-90 or AIS 31 Needed to choose between an LCG, PCG or XorShift algorithm Then this might be the book for you.
Download or read book Cryptography and Cryptanalysis in MATLAB written by Marius Iulian Mihailescu and published by Apress. This book was released on 2021-09-26 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the essentials of cryptography and cryptanalysis and learn how to put them to practical use. Each chapter of this book starts with an introduction to the concepts on which cryptographic algorithms are based and how they are used in practice, providing fully working examples for each of the algorithms presented. Implementation sections will guide you through the entire process of writing your own applications and programs using MATLAB. Cryptography and Cryptanalysis in MATLAB will serve as your definitive go-to cryptography reference, whether you are a student, professional developer, or researcher, showing how a multitude of cryptographic challenges can be overcome using the powerful tools of MATLAB. What You Will Learn Discover MATLAB’s cryptography functions Work with conversion mechanisms in MATLAB Implement cryptographic algorithms using arithmetic operations Understand the classical, simple cryptosystems that form the basis of modern cryptography Develop fully working solutions (encryption/decryption operations) Study pseudo-random generators and their real-life implementations Utilize hash functions by way of practical examples Implement solutions to defend against practical cryptanalysis methods and attacks Understand asymmetric and symmetric encryption systems and how to use them Leverage visual cryptography, steganography, and chaos-based cryptography Who This Book Is For Those who are new to cryptography/analysis. Some prior exposure to MATLAB recommended.
Download or read book GPU Computing Gems Emerald Edition written by and published by Elsevier. This book was released on 2011-01-13 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: GPU Computing Gems Emerald Edition offers practical techniques in parallel computing using graphics processing units (GPUs) to enhance scientific research. The first volume in Morgan Kaufmann's Applications of GPU Computing Series, this book offers the latest insights and research in computer vision, electronic design automation, and emerging data-intensive applications. It also covers life sciences, medical imaging, ray tracing and rendering, scientific simulation, signal and audio processing, statistical modeling, video and image processing. This book is intended to help those who are facing the challenge of programming systems to effectively use GPUs to achieve efficiency and performance goals. It offers developers a window into diverse application areas, and the opportunity to gain insights from others' algorithm work that they may apply to their own projects. Readers will learn from the leading researchers in parallel programming, who have gathered their solutions and experience in one volume under the guidance of expert area editors. Each chapter is written to be accessible to researchers from other domains, allowing knowledge to cross-pollinate across the GPU spectrum. Many examples leverage NVIDIA's CUDA parallel computing architecture, the most widely-adopted massively parallel programming solution. The insights and ideas as well as practical hands-on skills in the book can be immediately put to use. Computer programmers, software engineers, hardware engineers, and computer science students will find this volume a helpful resource. For useful source codes discussed throughout the book, the editors invite readers to the following website: ..." Covers the breadth of industry from scientific simulation and electronic design automation to audio / video processing, medical imaging, computer vision, and more Many examples leverage NVIDIA's CUDA parallel computing architecture, the most widely-adopted massively parallel programming solution Offers insights and ideas as well as practical "hands-on" skills you can immediately put to use
Download or read book IEEE Standard Specifications for Public key Cryptography written by and published by . This book was released on 2000 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This standard specifies common public-key cryptography techniques, including mathematical primitives for secret value (key) derivation, public-key encryption, and digital signatures, and cryptographic schemes based on those primitives. It also specifies related cryptographic parameters, public keys, and private keys. The purpose of this standard is to provide a reference for specifications on a variety of techniques from which applications may select.
