Theoretical and scientific foundations in research in Engineering

Theoretical and scientific foundations in research in Engineering

Author: Beresjuk O., Lemeschew M., Stadnijtschuk M., Mudra A., Hnat H., Rubai R., Hnat H., Petrenko Y., Solovii L., Silnyk O., Vozniuk L., Бабенцова О., Вербовецька В., Сліпченко В., Шаламова К., Василенко О., Танірвердієв А., Заварза І., Чвирова О., Сташенко М., Гладишев Д.Г., Гладишев Г.М., Гнесь І., Іваночко У., Баб’як В.І. Мандріченко О.Є., Демиденко Т.П., Парфенов О.Є., Савенко В., Гончаренко Т., Нестеренко І., Шатрова І., Пальчик С. Смірнова О.В., Кудрявцев П., Кудрявцев Н., Одосій Л., Міхалєва М., Паращук Л., Davydenko Y., Shved A., Гурський Т.Г., Вакуленко Ю.В., Шишацький А.В., Одарущенко О.Б., Протас Н.М., Дегтярьова Л.М., Koman B., Nevliudov I., Zharikova I., Novoselov S., Nevliudova V., Dzhala R., Verbenets’ B., Dzhala V., Savula R., Semeniuk O., Lys S., Yurasova O., Galyanchuk I., Oparin S., Коменда Н., Римар Т.І., Заяць М.Ф., Slobodyanyuk N., Menchynska A., Ivaniuta A., Нікульшин В., Денисова А., Мельнік С., Андрющенко А., Височин В., Holubnyk T., Kovalskyi B., Mayik L., Havrysh B., Dubnevych M., Kozlov V., Tomashevskaya T., Гаценко С.С., Романов О.М., Cова О.Я., Журавський Ю.В., Троцько О.О., Gorbatyuk I., Terentyev O., Sviderskyi A., Dolya E., Orel V., Matsiyevska O., Pitsyshyn B., Чернець М., Корнієнко А., Makarov V., Makortetskyi M., Perov M., Kaplin M., Novytskyi I., Sigarev E., Lobanov Y., Dovzhenko O., Saiko V., Narytnyk T., Vasylyshyn V., Vasylyshyn Y.

Publisher: International Science Group

Published: 2022-04-21

Total Pages: 543

ISBN-13: 1685645011

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Book Synopsis Theoretical and scientific foundations in research in Engineering by : Beresjuk O., Lemeschew M., Stadnijtschuk M., Mudra A., Hnat H., Rubai R., Hnat H., Petrenko Y., Solovii L., Silnyk O., Vozniuk L., Бабенцова О., Вербовецька В., Сліпченко В., Шаламова К., Василенко О., Танірвердієв А., Заварза І., Чвирова О., Сташенко М., Гладишев Д.Г., Гладишев Г.М., Гнесь І., Іваночко У., Баб’як В.І. Мандріченко О.Є., Демиденко Т.П., Парфенов О.Є., Савенко В., Гончаренко Т., Нестеренко І., Шатрова І., Пальчик С. Смірнова О.В., Кудрявцев П., Кудрявцев Н., Одосій Л., Міхалєва М., Паращук Л., Davydenko Y., Shved A., Гурський Т.Г., Вакуленко Ю.В., Шишацький А.В., Одарущенко О.Б., Протас Н.М., Дегтярьова Л.М., Koman B., Nevliudov I., Zharikova I., Novoselov S., Nevliudova V., Dzhala R., Verbenets’ B., Dzhala V., Savula R., Semeniuk O., Lys S., Yurasova O., Galyanchuk I., Oparin S., Коменда Н., Римар Т.І., Заяць М.Ф., Slobodyanyuk N., Menchynska A., Ivaniuta A., Нікульшин В., Денисова А., Мельнік С., Андрющенко А., Височин В., Holubnyk T., Kovalskyi B., Mayik L., Havrysh B., Dubnevych M., Kozlov V., Tomashevskaya T., Гаценко С.С., Романов О.М., Cова О.Я., Журавський Ю.В., Троцько О.О., Gorbatyuk I., Terentyev O., Sviderskyi A., Dolya E., Orel V., Matsiyevska O., Pitsyshyn B., Чернець М., Корнієнко А., Makarov V., Makortetskyi M., Perov M., Kaplin M., Novytskyi I., Sigarev E., Lobanov Y., Dovzhenko O., Saiko V., Narytnyk T., Vasylyshyn V., Vasylyshyn Y.

Download or read book Theoretical and scientific foundations in research in Engineering written by Beresjuk O., Lemeschew M., Stadnijtschuk M., Mudra A., Hnat H., Rubai R., Hnat H., Petrenko Y., Solovii L., Silnyk O., Vozniuk L., Бабенцова О., Вербовецька В., Сліпченко В., Шаламова К., Василенко О., Танірвердієв А., Заварза І., Чвирова О., Сташенко М., Гладишев Д.Г., Гладишев Г.М., Гнесь І., Іваночко У., Баб’як В.І. Мандріченко О.Є., Демиденко Т.П., Парфенов О.Є., Савенко В., Гончаренко Т., Нестеренко І., Шатрова І., Пальчик С. Смірнова О.В., Кудрявцев П., Кудрявцев Н., Одосій Л., Міхалєва М., Паращук Л., Davydenko Y., Shved A., Гурський Т.Г., Вакуленко Ю.В., Шишацький А.В., Одарущенко О.Б., Протас Н.М., Дегтярьова Л.М., Koman B., Nevliudov I., Zharikova I., Novoselov S., Nevliudova V., Dzhala R., Verbenets’ B., Dzhala V., Savula R., Semeniuk O., Lys S., Yurasova O., Galyanchuk I., Oparin S., Коменда Н., Римар Т.І., Заяць М.Ф., Slobodyanyuk N., Menchynska A., Ivaniuta A., Нікульшин В., Денисова А., Мельнік С., Андрющенко А., Височин В., Holubnyk T., Kovalskyi B., Mayik L., Havrysh B., Dubnevych M., Kozlov V., Tomashevskaya T., Гаценко С.С., Романов О.М., Cова О.Я., Журавський Ю.В., Троцько О.О., Gorbatyuk I., Terentyev O., Sviderskyi A., Dolya E., Orel V., Matsiyevska O., Pitsyshyn B., Чернець М., Корнієнко А., Makarov V., Makortetskyi M., Perov M., Kaplin M., Novytskyi I., Sigarev E., Lobanov Y., Dovzhenko O., Saiko V., Narytnyk T., Vasylyshyn V., Vasylyshyn Y. and published by International Science Group. This book was released on 2022-04-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collective monograph


Technical, agricultural and physical sciences as the main sciences of human development

Technical, agricultural and physical sciences as the main sciences of human development

Author: – Glovyn N., Gliva O., Pavliv O. Тихонова О., Artemenko V., Demchyna K., Babyak V., Hladyshev D., Vozniuk L., Lemeshev M., Bereziuk O., Stadnijtschuk M., Shapoval V., Shashenko O., Skobenko O., Konoval V., Shuminskyi V., Vozniuk L., Babyak V., Smaliychuk A., Drahun Y., Ivaskiv V., Mazur D., Leibych S., Kiiko S., Hehedosh O., Chereshnya V., Zastryzhnyi A., Mytsyk O., Ivaskiv Y., Дейнека В., Vorobiov L., Dekusha L., Dekusha H., Ivanov S., Khvalin D., Андрющенко А., Нікульшин В., Денисова А., Мельник С., Височин В., Часник Д.В., Rymar T., Kuzmenko R., Maksymiuk A., Fefelov D., Omelchenko M., Kuzmin O., Zemlyanchuk A., Nemirich O., Kuzmin O., Mamchenko L., Yastreba S., Дорожко В., Гунько С., Andrushchak I., Hengyi Z., Kozlov V., Tomashevskaya T., Trofimova L., Hutyria S., Yahlinskyi V., Котенко К.Е., Вінюков О., Вінюков А.

Publisher: International Science Group

Published: 2024-04-03

Total Pages: 419

ISBN-13:

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Book Synopsis Technical, agricultural and physical sciences as the main sciences of human development by : – Glovyn N., Gliva O., Pavliv O. Тихонова О., Artemenko V., Demchyna K., Babyak V., Hladyshev D., Vozniuk L., Lemeshev M., Bereziuk O., Stadnijtschuk M., Shapoval V., Shashenko O., Skobenko O., Konoval V., Shuminskyi V., Vozniuk L., Babyak V., Smaliychuk A., Drahun Y., Ivaskiv V., Mazur D., Leibych S., Kiiko S., Hehedosh O., Chereshnya V., Zastryzhnyi A., Mytsyk O., Ivaskiv Y., Дейнека В., Vorobiov L., Dekusha L., Dekusha H., Ivanov S., Khvalin D., Андрющенко А., Нікульшин В., Денисова А., Мельник С., Височин В., Часник Д.В., Rymar T., Kuzmenko R., Maksymiuk A., Fefelov D., Omelchenko M., Kuzmin O., Zemlyanchuk A., Nemirich O., Kuzmin O., Mamchenko L., Yastreba S., Дорожко В., Гунько С., Andrushchak I., Hengyi Z., Kozlov V., Tomashevskaya T., Trofimova L., Hutyria S., Yahlinskyi V., Котенко К.Е., Вінюков О., Вінюков А.

Download or read book Technical, agricultural and physical sciences as the main sciences of human development written by – Glovyn N., Gliva O., Pavliv O. Тихонова О., Artemenko V., Demchyna K., Babyak V., Hladyshev D., Vozniuk L., Lemeshev M., Bereziuk O., Stadnijtschuk M., Shapoval V., Shashenko O., Skobenko O., Konoval V., Shuminskyi V., Vozniuk L., Babyak V., Smaliychuk A., Drahun Y., Ivaskiv V., Mazur D., Leibych S., Kiiko S., Hehedosh O., Chereshnya V., Zastryzhnyi A., Mytsyk O., Ivaskiv Y., Дейнека В., Vorobiov L., Dekusha L., Dekusha H., Ivanov S., Khvalin D., Андрющенко А., Нікульшин В., Денисова А., Мельник С., Височин В., Часник Д.В., Rymar T., Kuzmenko R., Maksymiuk A., Fefelov D., Omelchenko M., Kuzmin O., Zemlyanchuk A., Nemirich O., Kuzmin O., Mamchenko L., Yastreba S., Дорожко В., Гунько С., Andrushchak I., Hengyi Z., Kozlov V., Tomashevskaya T., Trofimova L., Hutyria S., Yahlinskyi V., Котенко К.Е., Вінюков О., Вінюков А. and published by International Science Group. This book was released on 2024-04-03 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collective monograph


1980 National Science Foundation Authorization

1980 National Science Foundation Authorization

Author: United States. Congress. House. Committee on Science and Technology. Subcommittee on Science, Research, and Technology

Publisher:

Published: 1979

Total Pages: 826

ISBN-13:

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Book Synopsis 1980 National Science Foundation Authorization by : United States. Congress. House. Committee on Science and Technology. Subcommittee on Science, Research, and Technology

Download or read book 1980 National Science Foundation Authorization written by United States. Congress. House. Committee on Science and Technology. Subcommittee on Science, Research, and Technology and published by . This book was released on 1979 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt:


A Framework for K-12 Science Education

A Framework for K-12 Science Education

Author: National Research Council

Publisher: National Academies Press

Published: 2012-02-28

Total Pages: 400

ISBN-13: 0309214459

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Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments.


Book Synopsis A Framework for K-12 Science Education by : National Research Council

Download or read book A Framework for K-12 Science Education written by National Research Council and published by National Academies Press. This book was released on 2012-02-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments.


Annual Report for Fiscal Year ...

Annual Report for Fiscal Year ...

Author: National Science Foundation (U.S.)

Publisher:

Published: 1983

Total Pages:

ISBN-13:

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Book Synopsis Annual Report for Fiscal Year ... by : National Science Foundation (U.S.)

Download or read book Annual Report for Fiscal Year ... written by National Science Foundation (U.S.) and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Reproducibility and Replicability in Science

Reproducibility and Replicability in Science

Author: National Academies of Sciences, Engineering, and Medicine

Publisher: National Academies Press

Published: 2019-10-20

Total Pages: 257

ISBN-13: 0309486165

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One of the pathways by which the scientific community confirms the validity of a new scientific discovery is by repeating the research that produced it. When a scientific effort fails to independently confirm the computations or results of a previous study, some fear that it may be a symptom of a lack of rigor in science, while others argue that such an observed inconsistency can be an important precursor to new discovery. Concerns about reproducibility and replicability have been expressed in both scientific and popular media. As these concerns came to light, Congress requested that the National Academies of Sciences, Engineering, and Medicine conduct a study to assess the extent of issues related to reproducibility and replicability and to offer recommendations for improving rigor and transparency in scientific research. Reproducibility and Replicability in Science defines reproducibility and replicability and examines the factors that may lead to non-reproducibility and non-replicability in research. Unlike the typical expectation of reproducibility between two computations, expectations about replicability are more nuanced, and in some cases a lack of replicability can aid the process of scientific discovery. This report provides recommendations to researchers, academic institutions, journals, and funders on steps they can take to improve reproducibility and replicability in science.


Book Synopsis Reproducibility and Replicability in Science by : National Academies of Sciences, Engineering, and Medicine

Download or read book Reproducibility and Replicability in Science written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2019-10-20 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the pathways by which the scientific community confirms the validity of a new scientific discovery is by repeating the research that produced it. When a scientific effort fails to independently confirm the computations or results of a previous study, some fear that it may be a symptom of a lack of rigor in science, while others argue that such an observed inconsistency can be an important precursor to new discovery. Concerns about reproducibility and replicability have been expressed in both scientific and popular media. As these concerns came to light, Congress requested that the National Academies of Sciences, Engineering, and Medicine conduct a study to assess the extent of issues related to reproducibility and replicability and to offer recommendations for improving rigor and transparency in scientific research. Reproducibility and Replicability in Science defines reproducibility and replicability and examines the factors that may lead to non-reproducibility and non-replicability in research. Unlike the typical expectation of reproducibility between two computations, expectations about replicability are more nuanced, and in some cases a lack of replicability can aid the process of scientific discovery. This report provides recommendations to researchers, academic institutions, journals, and funders on steps they can take to improve reproducibility and replicability in science.


Design Theory

Design Theory

Author: Pascal Le Masson

Publisher: Springer

Published: 2017-04-06

Total Pages: 388

ISBN-13: 3319502778

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This textbook presents the core of recent advances in design theory and its implications for design methods and design organization. Providing a unified perspective on different design methods and approaches, from the most classic (systematic design) to the most advanced (C-K theory), it offers a unique and integrated presentation of traditional and contemporary theories in the field. Examining the principles of each theory, this guide utilizes numerous real life industrial applications, with clear links to engineering design, industrial design, management, economics, psychology and creativity. Containing a section of exams with detailed answers, it is useful for courses in design theory, engineering design and advanced innovation management. "Students and professors, practitioners and researchers in diverse disciplines, interested in design, will find in this book a rich and vital source for studying fundamental design methods and tools as well as the most advanced design theories that work in practice". Professor Yoram Reich, Tel Aviv University, Editor-in-Chief, Research In Engineering Design. "Twenty years of research in design theory and engineering have shown that training in creative design is indeed possible and offers remarkably operational methods - this book is indispensable for all leaders and practitioners who wish to strengthen theinnovation capacity of their company." Pascal Daloz, Executive Vice President, Dassault Systèmes


Book Synopsis Design Theory by : Pascal Le Masson

Download or read book Design Theory written by Pascal Le Masson and published by Springer. This book was released on 2017-04-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the core of recent advances in design theory and its implications for design methods and design organization. Providing a unified perspective on different design methods and approaches, from the most classic (systematic design) to the most advanced (C-K theory), it offers a unique and integrated presentation of traditional and contemporary theories in the field. Examining the principles of each theory, this guide utilizes numerous real life industrial applications, with clear links to engineering design, industrial design, management, economics, psychology and creativity. Containing a section of exams with detailed answers, it is useful for courses in design theory, engineering design and advanced innovation management. "Students and professors, practitioners and researchers in diverse disciplines, interested in design, will find in this book a rich and vital source for studying fundamental design methods and tools as well as the most advanced design theories that work in practice". Professor Yoram Reich, Tel Aviv University, Editor-in-Chief, Research In Engineering Design. "Twenty years of research in design theory and engineering have shown that training in creative design is indeed possible and offers remarkably operational methods - this book is indispensable for all leaders and practitioners who wish to strengthen theinnovation capacity of their company." Pascal Daloz, Executive Vice President, Dassault Systèmes


Program Report - National Science Foundation

Program Report - National Science Foundation

Author: National Science Foundation (U.S.)

Publisher:

Published: 1980

Total Pages: 52

ISBN-13:

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Book Synopsis Program Report - National Science Foundation by : National Science Foundation (U.S.)

Download or read book Program Report - National Science Foundation written by National Science Foundation (U.S.) and published by . This book was released on 1980 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:


A Mathematical Theory of Design: Foundations, Algorithms and Applications

A Mathematical Theory of Design: Foundations, Algorithms and Applications

Author: D. Braha

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 684

ISBN-13: 1475728727

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Formal Design Theory (PDT) is a mathematical theory of design. The main goal of PDT is to develop a domain independent core model of the design process. The book focuses the reader's attention on the process by which ideas originate and are developed into workable products. In developing PDT, we have been striving toward what has been expressed by the distinguished scholar Simon (1969): that "the science of design is possible and some day we will be able to talk in terms of well-established theories and practices. " The book is divided into five interrelated parts. The conceptual approach is presented first (Part I); followed by the theoretical foundations of PDT (Part II), and from which the algorithmic and pragmatic implications are deduced (Part III). Finally, detailed case-studies illustrate the theory and the methods of the design process (Part IV), and additional practical considerations are evaluated (Part V). The generic nature of the concepts, theory and methods are validated by examples from a variety of disciplines. FDT explores issues such as: algebraic representation of design artifacts, idealized design process cycle, and computational analysis and measurement of design process complexity and quality. FDT's axioms convey the assumptions of the theory about the nature of artifacts, and potential modifications of the artifacts in achieving desired goals or functionality. By being able to state these axioms explicitly, it is possible to derive theorems and corollaries, as well as to develop specific analytical and constructive methodologies.


Book Synopsis A Mathematical Theory of Design: Foundations, Algorithms and Applications by : D. Braha

Download or read book A Mathematical Theory of Design: Foundations, Algorithms and Applications written by D. Braha and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Design Theory (PDT) is a mathematical theory of design. The main goal of PDT is to develop a domain independent core model of the design process. The book focuses the reader's attention on the process by which ideas originate and are developed into workable products. In developing PDT, we have been striving toward what has been expressed by the distinguished scholar Simon (1969): that "the science of design is possible and some day we will be able to talk in terms of well-established theories and practices. " The book is divided into five interrelated parts. The conceptual approach is presented first (Part I); followed by the theoretical foundations of PDT (Part II), and from which the algorithmic and pragmatic implications are deduced (Part III). Finally, detailed case-studies illustrate the theory and the methods of the design process (Part IV), and additional practical considerations are evaluated (Part V). The generic nature of the concepts, theory and methods are validated by examples from a variety of disciplines. FDT explores issues such as: algebraic representation of design artifacts, idealized design process cycle, and computational analysis and measurement of design process complexity and quality. FDT's axioms convey the assumptions of the theory about the nature of artifacts, and potential modifications of the artifacts in achieving desired goals or functionality. By being able to state these axioms explicitly, it is possible to derive theorems and corollaries, as well as to develop specific analytical and constructive methodologies.


Foundations of Data Science

Foundations of Data Science

Author: Avrim Blum

Publisher: Cambridge University Press

Published: 2020-01-23

Total Pages: 433

ISBN-13: 1108617360

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This book provides an introduction to the mathematical and algorithmic foundations of data science, including machine learning, high-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear algebraic techniques such as singular value decomposition, the theory of random walks and Markov chains, the fundamentals of and important algorithms for machine learning, algorithms and analysis for clustering, probabilistic models for large networks, representation learning including topic modelling and non-negative matrix factorization, wavelets and compressed sensing. Important probabilistic techniques are developed including the law of large numbers, tail inequalities, analysis of random projections, generalization guarantees in machine learning, and moment methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as matrix norms and VC-dimension. This book is suitable for both undergraduate and graduate courses in the design and analysis of algorithms for data.


Book Synopsis Foundations of Data Science by : Avrim Blum

Download or read book Foundations of Data Science written by Avrim Blum and published by Cambridge University Press. This book was released on 2020-01-23 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematical and algorithmic foundations of data science, including machine learning, high-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear algebraic techniques such as singular value decomposition, the theory of random walks and Markov chains, the fundamentals of and important algorithms for machine learning, algorithms and analysis for clustering, probabilistic models for large networks, representation learning including topic modelling and non-negative matrix factorization, wavelets and compressed sensing. Important probabilistic techniques are developed including the law of large numbers, tail inequalities, analysis of random projections, generalization guarantees in machine learning, and moment methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as matrix norms and VC-dimension. This book is suitable for both undergraduate and graduate courses in the design and analysis of algorithms for data.