Trends In Mathematical Information And Data Sciences

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Trends in Mathematical, Information and Data Sciences

Author : Narayanaswamy Balakrishnan
Publisher : Springer Nature
ISBN 13 : 3031041372
Total Pages : 450 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Trends in Mathematical, Information and Data Sciences by : Narayanaswamy Balakrishnan

Download or read book Trends in Mathematical, Information and Data Sciences written by Narayanaswamy Balakrishnan and published by Springer Nature. This book was released on 2022-06-27 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book involves ideas/results from the topics of mathematical, information, and data sciences, in connection with the main research interests of Professor Pardo that can be summarized as Information Theory with Applications to Statistical Inference. This book is a tribute to Professor Leandro Pardo, who has chaired the Department of Statistics and OR of the Complutense University in Madrid, and he has been also President of the Spanish Society of Statistics and Operations Research. In this way, the contributions have been structured into three parts, which often overlap to a greater or lesser extent, namely Trends in Mathematical Sciences (Part I) Trends in Information Sciences (Part II) Trends in Data Sciences (Part III) The contributions gathered in this book have offered either new developments from a theoretical and/or computational and/or applied point of view, or reviews of recent literature of outstanding developments. They have been applied through nice examples in climatology, chemistry, economics, engineering, geology, health sciences, physics, pandemics, and socioeconomic indicators. Consequently, the intended audience of this book is mainly statisticians, mathematicians, computer scientists, and so on, but users of these disciplines as well as experts in the involved applications may certainly find this book a very interesting read.

Trends in Mathematical, Information and Data Sciences

Author : Narayanaswamy Balakrishnan
Publisher :
ISBN 13 : 9783031041389
Total Pages : 0 pages
Book Rating : 4.0/5 (413 download)

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Book Synopsis Trends in Mathematical, Information and Data Sciences by : Narayanaswamy Balakrishnan

Download or read book Trends in Mathematical, Information and Data Sciences written by Narayanaswamy Balakrishnan and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book involves ideas/results from the topics of mathematical, information, and data sciences, in connection with the main research interests of Professor Pardo that can be summarized as Information Theory with Applications to Statistical Inference. This book is a tribute to Professor Leandro Pardo, who has chaired the Department of Statistics and OR of the Complutense University in Madrid, and he has been also President of the Spanish Society of Statistics and Operations Research. In this way, the contributions have been structured into three parts, which often overlap to a greater or lesser extent, namely Trends in Mathematical Sciences (Part I) Trends in Information Sciences (Part II) Trends in Data Sciences (Part III) The contributions gathered in this book have offered either new developments from a theoretical and/or computational and/or applied point of view, or reviews of recent literature of outstanding developments. They have been applied through nice examples in climatology, chemistry, economics, engineering, geology, health sciences, physics, pandemics, and socioeconomic indicators. Consequently, the intended audience of this book is mainly statisticians, mathematicians, computer scientists, and so on, but users of these disciplines as well as experts in the involved applications may certainly find this book a very interesting read.

Mathematics of Data Science: A Computational Approach to Clustering and Classification

Author : Daniela Calvetti
Publisher : SIAM
ISBN 13 : 1611976375
Total Pages : 199 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematics of Data Science: A Computational Approach to Clustering and Classification by : Daniela Calvetti

Download or read book Mathematics of Data Science: A Computational Approach to Clustering and Classification written by Daniela Calvetti and published by SIAM. This book was released on 2020-11-20 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a solid mathematical basis for understanding popular data science algorithms for clustering and classification and shows that an in-depth understanding of the mathematics powering these algorithms gives insight into the underlying data. It presents a step-by-step derivation of these algorithms, outlining their implementation from scratch in a computationally sound way. Mathematics of Data Science: A Computational Approach to Clustering and Classification proposes different ways of visualizing high-dimensional data to unveil hidden internal structures, and nearly every chapter includes graphical explanations and computed examples using publicly available data sets to highlight similarities and differences among the algorithms. This self-contained book is geared toward advanced undergraduate and beginning graduate students in the mathematical sciences, engineering, and computer science and can be used as the main text in a semester course. Researchers in any application area where data science methods are used will also find the book of interest. No advanced mathematical or statistical background is assumed.

Building Bridges between Soft and Statistical Methodologies for Data Science

Author : Luis A. García-Escudero
Publisher : Springer Nature
ISBN 13 : 3031155092
Total Pages : 421 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Building Bridges between Soft and Statistical Methodologies for Data Science by : Luis A. García-Escudero

Download or read book Building Bridges between Soft and Statistical Methodologies for Data Science written by Luis A. García-Escudero and published by Springer Nature. This book was released on 2022-08-24 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays, data analysis is becoming an appealing topic due to the emergence of new data types, dimensions, and sources. This motivates the development of probabilistic/statistical approaches and tools to cope with these data. Different communities of experts, namely statisticians, mathematicians, computer scientists, engineers, econometricians, and psychologists are more and more interested in facing this challenge. As a consequence, there is a clear need to build bridges between all these communities for Data Science. This book contains more than fifty selected recent contributions aiming to establish the above referred bridges. These contributions address very different and relevant aspects such as imprecise probabilities, information theory, random sets and random fuzzy sets, belief functions, possibility theory, dependence modelling and copulas, clustering, depth concepts, dimensionality reduction of complex data and robustness.

Advanced Mathematical Applications in Data Science

Author : Biswadip Basu Mallik
Publisher : Bentham Science Publishers
ISBN 13 : 9815124854
Total Pages : 223 pages
Book Rating : 4.8/5 (151 download)

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Book Synopsis Advanced Mathematical Applications in Data Science by : Biswadip Basu Mallik

Download or read book Advanced Mathematical Applications in Data Science written by Biswadip Basu Mallik and published by Bentham Science Publishers. This book was released on 2023-08-24 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Mathematical Applications in Data Science comprehensively explores the crucial role mathematics plays in the field of data science. Each chapter is contributed by scientists, researchers, and academicians. The 13 chapters cover a range of mathematical concepts utilized in data science, enabling readers to understand the intricate connection between mathematics and data analysis. The book covers diverse topics, including, machine learning models, the Kalman filter, data modeling, artificial neural networks, clustering techniques, and more, showcasing the application of advanced mathematical tools for effective data processing and analysis. With a strong emphasis on real-world applications, the book offers a deeper understanding of the foundational principles behind data analysis and its numerous interdisciplinary applications. This reference is an invaluable resource for graduate students, researchers, academicians, and learners pursuing a research career in mathematical computing or completing advanced data science courses. Key Features: Comprehensive coverage of advanced mathematical concepts and techniques in data science Contributions from established scientists, researchers, and academicians Real-world case studies and practical applications of mathematical methods Focus on diverse areas, such as image classification, carbon emission assessment, customer churn prediction, and healthcare data analysis In-depth exploration of data science's connection with mathematics, computer science, and artificial intelligence Scholarly references for each chapter Suitable for readers with high school-level mathematical knowledge, making it accessible to a broad audience in academia and industry.

Topics and Trends in Current Statistics Education Research

Author : Gail Burrill
Publisher : Springer
ISBN 13 : 3030034720
Total Pages : 422 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Topics and Trends in Current Statistics Education Research by : Gail Burrill

Download or read book Topics and Trends in Current Statistics Education Research written by Gail Burrill and published by Springer. This book was released on 2018-12-29 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on international research in statistics education, providing a solid understanding of the challenges in learning statistics. It presents the teaching and learning of statistics in various contexts, including designed settings for young children, students in formal schooling, tertiary level students, and teacher professional development. The book describes research on what to teach and platforms for delivering content (curriculum), strategies on how to teach for deep understanding, and includes several chapters on developing conceptual understanding (pedagogy and technology), teacher knowledge and beliefs, and the challenges teachers and students face when they solve statistical problems (reasoning and thinking). This new research in the field offers critical insights for college instructors, classroom teachers, curriculum designers, researchers in mathematics and statistics education as well as policy makers and newcomers to the field of statistics education. Statistics has become one of the key areas of study in the modern world of information and big data. The dramatic increase in demand for learning statistics in all disciplines is accompanied by tremendous growth in research in statistics education. Increasingly, countries are teaching more quantitative reasoning and statistics at lower and lower grade levels within mathematics, science and across many content areas. Research has revealed the many challenges in helping learners develop statistical literacy, reasoning, and thinking, and new curricula and technology tools show promise in facilitating the achievement of these desired outcomes.

Recent Developments in Mathematical, Statistical and Computational Sciences

Author : D. Marc Kilgour
Publisher : Springer Nature
ISBN 13 : 3030635910
Total Pages : 728 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Recent Developments in Mathematical, Statistical and Computational Sciences by : D. Marc Kilgour

Download or read book Recent Developments in Mathematical, Statistical and Computational Sciences written by D. Marc Kilgour and published by Springer Nature. This book was released on 2021-08-29 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes an up-to-date account of principles, methods, and tools for mathematical and statistical modelling in a wide range of research fields, including medicine, health sciences, biology, environmental science, engineering, physics, chemistry, computation, finance, economics, and social sciences. It presents original solutions to real-world problems, emphasizes the coordinated development of theories and applications, and promotes interdisciplinary collaboration among mathematicians, statisticians, and researchers in other disciplines. Based on a highly successful meeting, the International Conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2019, held from August 18 to 23, 2019, on the main campus of Wilfrid Laurier University, Waterloo, Canada, the contributions are the results of submissions from the conference participants. They provide readers with a broader view of the methods, ideas and tools used in mathematical, statistical and computational sciences.

Recent Trends in Computational Science and Engineering

Author : Serdar Celebi
Publisher : BoD – Books on Demand
ISBN 13 : 1789231922
Total Pages : 160 pages
Book Rating : 4.7/5 (892 download)

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Book Synopsis Recent Trends in Computational Science and Engineering by : Serdar Celebi

Download or read book Recent Trends in Computational Science and Engineering written by Serdar Celebi and published by BoD – Books on Demand. This book was released on 2018-05-30 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational science and engineering (CSE) is a broad multidisciplinary and integrative area including a variety of applications in science, engineering, numerical methods, applied mathematics, and computer science disciplines. The book covers a collection of different types of applications and visions to various disciplinary key aspects, which comprises both problem-driven and methodology-driven approaches at the same time. These selected applications are: Computational and information technologies for numerical models and large unstructured data processing Evolution of matrix computations and new concepts in computing Inverse problems covering both classical and newer approaches Integro-differential scheme (IDS) that combines finite volume and finite difference methods Smart city wireless networks Signal processing methods

Probability and Statistics for Data Science

Author : Norman Matloff
Publisher : CRC Press
ISBN 13 : 0429687125
Total Pages : 412 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Probability and Statistics for Data Science by : Norman Matloff

Download or read book Probability and Statistics for Data Science written by Norman Matloff and published by CRC Press. This book was released on 2019-06-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Statistics for Data Science: Math + R + Data covers "math stat"—distributions, expected value, estimation etc.—but takes the phrase "Data Science" in the title quite seriously: * Real datasets are used extensively. * All data analysis is supported by R coding. * Includes many Data Science applications, such as PCA, mixture distributions, random graph models, Hidden Markov models, linear and logistic regression, and neural networks. * Leads the student to think critically about the "how" and "why" of statistics, and to "see the big picture." * Not "theorem/proof"-oriented, but concepts and models are stated in a mathematically precise manner. Prerequisites are calculus, some matrix algebra, and some experience in programming. Norman Matloff is a professor of computer science at the University of California, Davis, and was formerly a statistics professor there. He is on the editorial boards of the Journal of Statistical Software and The R Journal. His book Statistical Regression and Classification: From Linear Models to Machine Learning was the recipient of the Ziegel Award for the best book reviewed in Technometrics in 2017. He is a recipient of his university's Distinguished Teaching Award.

Advances and Innovations in Statistics and Data Science

Author : Wenqing He
Publisher : Springer Nature
ISBN 13 : 3031083296
Total Pages : 339 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Advances and Innovations in Statistics and Data Science by : Wenqing He

Download or read book Advances and Innovations in Statistics and Data Science written by Wenqing He and published by Springer Nature. This book was released on 2022-10-27 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights selected papers from the 4th ICSA-Canada Chapter Symposium, as well as invited articles from established researchers in the areas of statistics and data science. It covers a variety of topics, including methodology development in data science, such as methodology in the analysis of high dimensional data, feature screening in ultra-high dimensional data and natural language ranking; statistical analysis challenges in sampling, multivariate survival models and contaminated data, as well as applications of statistical methods. With this book, readers can make use of frontier research methods to tackle their problems in research, education, training and consultation.

Fundamentals of Data Science

Author : Sanjeev J. Wagh
Publisher : CRC Press
ISBN 13 : 0429811470
Total Pages : 297 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Fundamentals of Data Science by : Sanjeev J. Wagh

Download or read book Fundamentals of Data Science written by Sanjeev J. Wagh and published by CRC Press. This book was released on 2021-09-26 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Data Science is designed for students, academicians and practitioners with a complete walkthrough right from the foundational groundwork required to outlining all the concepts, techniques and tools required to understand Data Science. Data Science is an umbrella term for the non-traditional techniques and technologies that are required to collect, aggregate, process, and gain insights from massive datasets. This book offers all the processes, methodologies, various steps like data acquisition, pre-process, mining, prediction, and visualization tools for extracting insights from vast amounts of data by the use of various scientific methods, algorithms, and processes Readers will learn the steps necessary to create the application with SQl, NoSQL, Python, R, Matlab, Octave and Tablue. This book provides a stepwise approach to building solutions to data science applications right from understanding the fundamentals, performing data analytics to writing source code. All the concepts are discussed in simple English to help the community to become Data Scientist without much pre-requisite knowledge. Features : Simple strategies for developing statistical models that analyze data and detect patterns, trends, and relationships in data sets. Complete roadmap to Data Science approach with dedicatedsections which includes Fundamentals, Methodology and Tools. Focussed approach for learning and practice various Data Science Toolswith Sample code and examples for practice. Information is presented in an accessible way for students, researchers and academicians and professionals.

The Beginner's Guide to Data Science

Author : Robert Ball
Publisher : Springer Nature
ISBN 13 : 3031078659
Total Pages : 251 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis The Beginner's Guide to Data Science by : Robert Ball

Download or read book The Beginner's Guide to Data Science written by Robert Ball and published by Springer Nature. This book was released on 2022-11-15 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the principles and practical applications of data science, addressing key topics including data wrangling, statistics, machine learning, data visualization, natural language processing and time series analysis. Detailed investigations of techniques used in the implementation of recommendation engines and the proper selection of metrics for distance-based analysis are also covered. Utilizing numerous comprehensive code examples, figures, and tables to help clarify and illuminate essential data science topics, the authors provide an extensive treatment and analysis of real-world questions, focusing especially on the task of determining and assessing answers to these questions as expeditiously and precisely as possible. This book addresses the challenges related to uncovering the actionable insights in “big data,” leveraging database and data collection tools such as web scraping and text identification. This book is organized as 11 chapters, structured as independent treatments of the following crucial data science topics: Data gathering and acquisition techniques including data creation Managing, transforming, and organizing data to ultimately package the information into an accessible format ready for analysis Fundamentals of descriptive statistics intended to summarize and aggregate data into a few concise but meaningful measurements Inferential statistics that allow us to infer (or generalize) trends about the larger population based only on the sample portion collected and recorded Metrics that measure some quantity such as distance, similarity, or error and which are especially useful when comparing one or more data observations Recommendation engines representing a set of algorithms designed to predict (or recommend) a particular product, service, or other item of interest a user or customer wishes to buy or utilize in some manner Machine learning implementations and associated algorithms, comprising core data science technologies with many practical applications, especially predictive analytics Natural Language Processing, which expedites the parsing and comprehension of written and spoken language in an effective and accurate manner Time series analysis, techniques to examine and generate forecasts about the progress and evolution of data over time Data science provides the methodology and tools to accurately interpret an increasing volume of incoming information in order to discern patterns, evaluate trends, and make the right decisions. The results of data science analysis provide real world answers to real world questions. Professionals working on data science and business intelligence projects as well as advanced-level students and researchers focused on data science, computer science, business and mathematics programs will benefit from this book.

Principles of Data Science

Author : Hamid R. Arabnia
Publisher : Springer Nature
ISBN 13 : 303043981X
Total Pages : 276 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Principles of Data Science by : Hamid R. Arabnia

Download or read book Principles of Data Science written by Hamid R. Arabnia and published by Springer Nature. This book was released on 2020-07-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with a thorough understanding of various research areas within the field of data science. The book introduces readers to various techniques for data acquisition, extraction, and cleaning, data summarizing and modeling, data analysis and communication techniques, data science tools, deep learning, and various data science applications. Researchers can extract and conclude various future ideas and topics that could result in potential publications or thesis. Furthermore, this book contributes to Data Scientists’ preparation and to enhancing their knowledge of the field. The book provides a rich collection of manuscripts in highly regarded data science topics, edited by professors with long experience in the field of data science. Introduces various techniques, methods, and algorithms adopted by Data Science experts Provides a detailed explanation of data science perceptions, reinforced by practical examples Presents a road map of future trends suitable for innovative data science research and practice

Envisioning the Data Science Discipline

Author : National Academies of Sciences, Engineering, and Medicine
Publisher : National Academies Press
ISBN 13 : 0309465052
Total Pages : 69 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Envisioning the Data Science Discipline by : National Academies of Sciences, Engineering, and Medicine

Download or read book Envisioning the Data Science Discipline written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2018-03-05 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to manage, analyze, and extract knowledge from data is pervasive across industry, government, and academia. Scientists, engineers, and executives routinely encounter enormous volumes of data, and new techniques and tools are emerging to create knowledge out of these data, some of them capable of working with real-time streams of data. The nation's ability to make use of these data depends on the availability of an educated workforce with necessary expertise. With these new capabilities have come novel ethical challenges regarding the effectiveness and appropriateness of broad applications of data analyses. The field of data science has emerged to address the proliferation of data and the need to manage and understand it. Data science is a hybrid of multiple disciplines and skill sets, draws on diverse fields (including computer science, statistics, and mathematics), encompasses topics in ethics and privacy, and depends on specifics of the domains to which it is applied. Fueled by the explosion of data, jobs that involve data science have proliferated and an array of data science programs at the undergraduate and graduate levels have been established. Nevertheless, data science is still in its infancy, which suggests the importance of envisioning what the field might look like in the future and what key steps can be taken now to move data science education in that direction. This study will set forth a vision for the emerging discipline of data science at the undergraduate level. This interim report lays out some of the information and comments that the committee has gathered and heard during the first half of its study, offers perspectives on the current state of data science education, and poses some questions that may shape the way data science education evolves in the future. The study will conclude in early 2018 with a final report that lays out a vision for future data science education.

Recent Developments in Data Science and Intelligent Analysis of Information

Author : Oleg Chertov
Publisher : Springer
ISBN 13 : 3319978853
Total Pages : 384 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Recent Developments in Data Science and Intelligent Analysis of Information by : Oleg Chertov

Download or read book Recent Developments in Data Science and Intelligent Analysis of Information written by Oleg Chertov and published by Springer. This book was released on 2018-08-04 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the XVIII International Conference on Data Science and Intelligent Analysis of Information (ICDSIAI'2018), held in Kiev, Ukraine on June 4-7, 2018. The conference series, which dates back to 2001 when it was known as the Workshop on Intelligent Analysis of Information, was renamed in 2008 to reflect the broadening of its scope and the composition of its organizers and participants. ICDSIAI'2018 brought together a large number of participants from numerous countries in Europe, Asia and the USA. The papers presented addressed novel theoretical developments in methods, algorithms and implementations for the broadly perceived areas of big data mining and intelligent analysis of data and information, representation and processing of uncertainty and fuzziness, including contributions on a range of applications in the fields of decision-making and decision support, economics, education, ecology, law, and various areas of technology. The book is dedicated to the memory of the conference founder, the late Professor Tetiana Taran, an outstanding scientist in the field of artificial intelligence whose research record, vision and personality have greatly contributed to the development of Ukrainian artificial intelligence and computer science.

Data Science with Semantic Technologies

Author : Archana Patel
Publisher : CRC Press
ISBN 13 : 1000881202
Total Pages : 315 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Data Science with Semantic Technologies by : Archana Patel

Download or read book Data Science with Semantic Technologies written by Archana Patel and published by CRC Press. This book was released on 2023-06-20 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: As data is an important asset for any organization, it is essential to apply semantic technologies in data science to fulfill the need of any organization. This first volume of a two-volume handbook set provides a roadmap for new trends and future developments of data science with semantic technologies. Data Science with Semantic Technologies: New Trends and Future Developments highlights how data science enables the user to create intelligence through these technologies. In addition, this book offers the answers to various questions such as: Can semantic technologies facilitate data science? Which type of data science problems can be tackled by semantic technologies? How can data scientists benefit from these technologies? What is the role of semantic technologies in data science? What is the current progress and future of data science with semantic technologies? Which types of problems require the immediate attention of the researchers? What should be the vision 2030 for data science? This volume can serve as an important guide toward applications of data science with semantic technologies for the upcoming generation and, thus, it is a unique resource for scholars, researchers, professionals, and practitioners in this field.

Mathematical Methods in Data Science

Author : Jingli Ren
Publisher : Elsevier
ISBN 13 : 0443186804
Total Pages : 260 pages
Book Rating : 4.4/5 (431 download)

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Book Synopsis Mathematical Methods in Data Science by : Jingli Ren

Download or read book Mathematical Methods in Data Science written by Jingli Ren and published by Elsevier. This book was released on 2023-01-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods in Data Science covers a broad range of mathematical tools used in data science, including calculus, linear algebra, optimization, network analysis, probability and differential equations. Based on the authors’ recently published and previously unpublished results, this book introduces a new approach based on network analysis to integrate big data into the framework of ordinary and partial differential equations for dataanalysis and prediction. With data science being used in virtually every aspect of our society, the book includes examples and problems arising in data science and the clear explanation of advanced mathematical concepts, especially data-driven differential equations, making it accessible to researchers and graduate students in mathematics and data science. Combines a broad spectrum of mathematics, including linear algebra, optimization, network analysis and ordinary and partial differential equations for data science Written by two researchers who are actively applying mathematical and statistical methods as well as ODE and PDE for data analysis and prediction Highly interdisciplinary, with content spanning mathematics, data science, social media analysis, network science, financial markets, and more Presents a wide spectrum of topics in a logical order, including probability, linear algebra, calculus and optimization, networks, ordinary differential and partial differential equations