Mathematics Of Big Data
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Mathematics Of Big Data
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Author : Jeremy Kepner
language : en
Publisher: MIT Press
Release Date : 2018-07-17
Mathematics Of Big Data written by Jeremy Kepner and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-17 with Computers categories.
The first book to present the common mathematical foundations of big data analysis across a range of applications and technologies. Today, the volume, velocity, and variety of data are increasing rapidly across a range of fields, including Internet search, healthcare, finance, social media, wireless devices, and cybersecurity. Indeed, these data are growing at a rate beyond our capacity to analyze them. The tools—including spreadsheets, databases, matrices, and graphs—developed to address this challenge all reflect the need to store and operate on data as whole sets rather than as individual elements. This book presents the common mathematical foundations of these data sets that apply across many applications and technologies. Associative arrays unify and simplify data, allowing readers to look past the differences among the various tools and leverage their mathematical similarities in order to solve the hardest big data challenges. The book first introduces the concept of the associative array in practical terms, presents the associative array manipulation system D4M (Dynamic Distributed Dimensional Data Model), and describes the application of associative arrays to graph analysis and machine learning. It provides a mathematically rigorous definition of associative arrays and describes the properties of associative arrays that arise from this definition. Finally, the book shows how concepts of linearity can be extended to encompass associative arrays. Mathematics of Big Data can be used as a textbook or reference by engineers, scientists, mathematicians, computer scientists, and software engineers who analyze big data.
Mathematical Foundations Of Big Data Analytics
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Author : Vladimir Shikhman
language : en
Publisher: Springer Nature
Release Date : 2021-02-11
Mathematical Foundations Of Big Data Analytics written by Vladimir Shikhman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-11 with Computers categories.
In this textbook, basic mathematical models used in Big Data Analytics are presented and application-oriented references to relevant practical issues are made. Necessary mathematical tools are examined and applied to current problems of data analysis, such as brand loyalty, portfolio selection, credit investigation, quality control, product clustering, asset pricing etc. – mainly in an economic context. In addition, we discuss interdisciplinary applications to biology, linguistics, sociology, electrical engineering, computer science and artificial intelligence. For the models, we make use of a wide range of mathematics – from basic disciplines of numerical linear algebra, statistics and optimization to more specialized game, graph and even complexity theories. By doing so, we cover all relevant techniques commonly used in Big Data Analytics.Each chapter starts with a concrete practical problem whose primary aim is to motivate the study of a particular Big Data Analytics technique. Next, mathematical results follow – including important definitions, auxiliary statements and conclusions arising. Case-studies help to deepen the acquired knowledge by applying it in an interdisciplinary context. Exercises serve to improve understanding of the underlying theory. Complete solutions for exercises can be consulted by the interested reader at the end of the textbook; for some which have to be solved numerically, we provide descriptions of algorithms in Python code as supplementary material.This textbook has been recommended and developed for university courses in Germany, Austria and Switzerland.
Computing Mathematics
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Author : Barrett Williams
language : en
Publisher: Barrett Williams
Release Date : 2025-05-13
Computing Mathematics written by Barrett Williams and has been published by Barrett Williams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-13 with Technology & Engineering categories.
Step into the captivating world of "Computing Mathematics," a journey where the timeless elegance of mathematics meets the cutting-edge realm of modern computing. This eBook takes you through a meticulously curated exploration of the indispensable mathematical concepts and frameworks that drive today’s technological advancements. Begin by unraveling the intriguing "Foundations of Mathematical Computation," a section that lays the groundwork with historical insights and essential theories. Dive into the birth of algorithmic thinking, encountering groundbreaking ideas that shaped the digital landscape, from Alan Turing's pioneering work to contemporary algorithm design and efficiency. Navigate through "Numerical Methods in Computing" and witness how equations and approximations fuel computational processes across various industries. Discover the power of cryptography in securing global communication, understanding both the elegance of mathematical encryption and complex cryptographic protocols. Venture into the realm of "Machine Learning and Statistical Methods," where algorithms and neural networks underpin the revolution in artificial intelligence. Explore graph theory’s pivotal role in mapping social networks and network analysis, offering fresh perspectives on connectivity and innovation. With a keen eye on future possibilities, the section on "Quantum Computing" invites you to imagine a novel computational paradigm, uniting quantum mechanics with algorithmic brilliance. Delve into the unpredictable world of chaos theory, learning its applications in predictive models and beyond. The eBook also shines a light on the vast potential of "Big Data and Data Science," offering insights into mathematical tools that decode the complexities of data-driven industries. Traverse through the intricate geometry in computational graphics and the foundational theories that anchor distributed systems and blockchain technologies. Conclude your expedition with "Future Directions," a visionary glance at the evolving nexus between mathematics and computing, where emerging trends and ethical considerations signal the next wave of innovation. "Computing Mathematics" is your gateway to understanding the mathematical heartbeat of the digital age—a must-read for anyone poised to embrace the future of technology.
The Best Writing On Mathematics 2019
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Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2019-11-05
The Best Writing On Mathematics 2019 written by Mircea Pitici and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Crafts & Hobbies categories.
An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.
Proceedings Of The 5th International Conference On Big Data Analytics For Cyber Physical System In Smart City Volume 1
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Author : Mohammed Atiquzzaman
language : en
Publisher: Springer Nature
Release Date : 2025-02-01
Proceedings Of The 5th International Conference On Big Data Analytics For Cyber Physical System In Smart City Volume 1 written by Mohammed Atiquzzaman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-01 with Computers categories.
This book gathers a selection of peer-reviewed papers presented at the 5th Big Data Analytics for Cyber-Physical System in Smart City (BDCPS 2023) conference, held in Fuyang, China, on December 28–29. The contributions, prepared by an international team of scientists and engineers, cover the latest advances and challenges made in the field of big data analytics methods and approaches for the data-driven co-design of communication, computing, and control for smart cities. Given its scope, it offers a valuable resource for all researchers and professionals interested in big data, smart cities, and cyber-physical systems.
Engineering Mathematics And Artificial Intelligence
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Author : Herb Kunze
language : en
Publisher: CRC Press
Release Date : 2023-07-26
Engineering Mathematics And Artificial Intelligence written by Herb Kunze and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-26 with Computers categories.
The fields of Artificial Intelligence (AI) and Machine Learning (ML) have grown dramatically in recent years, with an increasingly impressive spectrum of successful applications. This book represents a key reference for anybody interested in the intersection between mathematics and AI/ML and provides an overview of the current research streams. Engineering Mathematics and Artificial Intelligence: Foundations, Methods, and Applications discusses the theory behind ML and shows how mathematics can be used in AI. The book illustrates how to improve existing algorithms by using advanced mathematics and offers cutting-edge AI technologies. The book goes on to discuss how ML can support mathematical modeling and how to simulate data by using artificial neural networks. Future integration between ML and complex mathematical techniques is also highlighted within the book. This book is written for researchers, practitioners, engineers, and AI consultants.
Open Source Software For Statistical Analysis Of Big Data Emerging Research And Opportunities
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Author : Segall, Richard S.
language : en
Publisher: IGI Global
Release Date : 2020-02-21
Open Source Software For Statistical Analysis Of Big Data Emerging Research And Opportunities written by Segall, Richard S. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-21 with Computers categories.
With the development of computing technologies in today’s modernized world, software packages have become easily accessible. Open source software, specifically, is a popular method for solving certain issues in the field of computer science. One key challenge is analyzing big data due to the high amounts that organizations are processing. Researchers and professionals need research on the foundations of open source software programs and how they can successfully analyze statistical data. Open Source Software for Statistical Analysis of Big Data: Emerging Research and Opportunities provides emerging research exploring the theoretical and practical aspects of cost-free software possibilities for applications within data analysis and statistics with a specific focus on R and Python. Featuring coverage on a broad range of topics such as cluster analysis, time series forecasting, and machine learning, this book is ideally designed for researchers, developers, practitioners, engineers, academicians, scholars, and students who want to more fully understand in a brief and concise format the realm and technologies of open source software for big data and how it has been used to solve large-scale research problems in a multitude of disciplines.
Modern Mathematical Methods And High Performance Computing In Science And Technology
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Author : Vinai K. Singh
language : en
Publisher: Springer
Release Date : 2016-08-06
Modern Mathematical Methods And High Performance Computing In Science And Technology written by Vinai K. Singh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-06 with Mathematics categories.
The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a reference work and as a basis for further study and research. All contributing authors are respected academicians, scientists and researchers from around the globe. All the papers were presented at the international conference on Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST 2015), held at Raj Kumar Goel Institute of Technology, Ghaziabad, India, from 27–29 December 2015, and peer-reviewed by international experts. The conference provided an exceptional platform for leading researchers, academicians, developers, engineers and technocrats from a broad range of disciplines to meet and discuss state-of-the-art mathematical methods and high performance computing in science & technology solutions. This has brought new prospects for collaboration across disciplines and ideas that facilitate novel breakthroughs.
Proceedings Of 4th International Conference On Bigdata Analysis And Data Mining 2017
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Author : ConferenceSeries
language : en
Publisher: ConferenceSeries
Release Date :
Proceedings Of 4th International Conference On Bigdata Analysis And Data Mining 2017 written by ConferenceSeries and has been published by ConferenceSeries this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
September 07-08, 2017 Paris, France Key Topics : Cloud computing, Forecasting from Big Data, Optimization and Big Data, New visualization techniques, Social network analysis, Search and data mining, Complexity and Algorithms, Open Data, ETL (Extract, Transform and Load), OLAP Technologies, Big Data Algorithm, Data Mining Analysis, Kernel Methods, Frequent Pattern Mining, Clustering, Data Privacy and Ethics, Big Data Technologies, Business Analytics, Data Mining Methods and Algorithms, Data Mining Tasks and Processes, Data Mining Applications in Science, Engineering, Healthcare and Medicine, Big Data Applications, Data Mining Tools and Software, Data Warehousing, Artificial Intelligence,
The Proceedings Of The 12th International Congress On Mathematical Education
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Author : Sung Je Cho
language : en
Publisher: Springer
Release Date : 2015-02-10
The Proceedings Of The 12th International Congress On Mathematical Education written by Sung Je Cho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-10 with Education categories.
This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.