Multidimensional Analysis

Multidimensional Analysis PDF

Author: George W. Hart

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 242

ISBN-13: 1461242088

DOWNLOAD EBOOK →

This book deals with the mathematical properties of dimensioned quantities, such as length, mass, voltage, and viscosity. Beginning with a careful examination of how one expresses the numerical results of a measurement and uses these results in subsequent manipulations, the author rigorously constructs the notion of dimensioned numbers and discusses their algebraic structure. The result is a unification of linear algebra and traditional dimensional analysis that can be extended from the scalars to which the traditional analysis is perforce restricted to multidimensional vectors of the sort frequently encountered in engineering, systems theory, economics, and other applications.

Multidimensional Analytics: Delivered with InfoSphere Warehouse Cubing Services

Multidimensional Analytics: Delivered with InfoSphere Warehouse Cubing Services PDF

Author: Chuck Ballard

Publisher: IBM Redbooks

Published: 2009-04-27

Total Pages: 276

ISBN-13: 0738432628

DOWNLOAD EBOOK →

In this IBM Redbooks publication, we discuss and describe a multidimensional data warehousing infrastructure that can enable solutions for complex problems in an efficient and effective manner. The focus of this infrastructure is the InfoSphere Warehouse Cubing Services Feature. With this feature, DB2 becomes the data store for large volumes of data that you can use to perform multidimensional analysis, which enables viewing complex problems from multiple perspectives, which provides more information for management business decision making. This feature supports analytic tool interfaces from powerful data analysis tools, such as Cognos 8 BI, Microsoft Excel, and Alphablox. This is a significant capability that supports and enhances the analytics that clients use as they work to resolve problems with an ever growing scope, dimension, and complexity. Analyzing problems by performing more detailed queries on the data and viewing the results from multiple perspectives yields significantly more information and insight. Building multidimensional cubes based on underlying DB2 relational tables, without having to move or replicate the data, enables significantly more powerful data analysis with less work and leads to faster problem resolution with the capability for more informed management decision making. This capability is known as No Copy Analytics and is made possible with InfoSphere Warehouse Cubing Services.

Multidimensional Mining of Massive Text Data

Multidimensional Mining of Massive Text Data PDF

Author: Chao Zhang

Publisher: Morgan & Claypool Publishers

Published: 2019-03-21

Total Pages: 199

ISBN-13: 1681735202

DOWNLOAD EBOOK →

Unstructured text, as one of the most important data forms, plays a crucial role in data-driven decision making in domains ranging from social networking and information retrieval to scientific research and healthcare informatics. In many emerging applications, people's information need from text data is becoming multidimensional—they demand useful insights along multiple aspects from a text corpus. However, acquiring such multidimensional knowledge from massive text data remains a challenging task. This book presents data mining techniques that turn unstructured text data into multidimensional knowledge. We investigate two core questions. (1) How does one identify task-relevant text data with declarative queries in multiple dimensions? (2) How does one distill knowledge from text data in a multidimensional space? To address the above questions, we develop a text cube framework. First, we develop a cube construction module that organizes unstructured data into a cube structure, by discovering latent multidimensional and multi-granular structure from the unstructured text corpus and allocating documents into the structure. Second, we develop a cube exploitation module that models multiple dimensions in the cube space, thereby distilling from user-selected data multidimensional knowledge. Together, these two modules constitute an integrated pipeline: leveraging the cube structure, users can perform multidimensional, multigranular data selection with declarative queries; and with cube exploitation algorithms, users can extract multidimensional patterns from the selected data for decision making. The proposed framework has two distinctive advantages when turning text data into multidimensional knowledge: flexibility and label-efficiency. First, it enables acquiring multidimensional knowledge flexibly, as the cube structure allows users to easily identify task-relevant data along multiple dimensions at varied granularities and further distill multidimensional knowledge. Second, the algorithms for cube construction and exploitation require little supervision; this makes the framework appealing for many applications where labeled data are expensive to obtain.

Multidimensional Databases and Data Warehousing

Multidimensional Databases and Data Warehousing PDF

Author: Christian Jensen

Publisher: Springer Nature

Published: 2022-05-31

Total Pages: 95

ISBN-13: 3031018419

DOWNLOAD EBOOK →

The present book's subject is multidimensional data models and data modeling concepts as they are applied in real data warehouses. The book aims to present the most important concepts within this subject in a precise and understandable manner. The book's coverage of fundamental concepts includes data cubes and their elements, such as dimensions, facts, and measures and their representation in a relational setting; it includes architecture-related concepts; and it includes the querying of multidimensional databases. The book also covers advanced multidimensional concepts that are considered to be particularly important. This coverage includes advanced dimension-related concepts such as slowly changing dimensions, degenerate and junk dimensions, outriggers, parent-child hierarchies, and unbalanced, non-covering, and non-strict hierarchies. The book offers a principled overview of key implementation techniques that are particularly important to multidimensional databases, including materialized views, bitmap indices, join indices, and star join processing. The book ends with a chapter that presents the literature on which the book is based and offers further readings for those readers who wish to engage in more in-depth study of specific aspects of the book's subject. Table of Contents: Introduction / Fundamental Concepts / Advanced Concepts / Implementation Issues / Further Readings

Multidimensional Analytical Techniques in Environmental Research

Multidimensional Analytical Techniques in Environmental Research PDF

Author: Regina Duarte

Publisher: Elsevier

Published: 2020-06-21

Total Pages: 314

ISBN-13: 0128188960

DOWNLOAD EBOOK →

Multidimensional Analytical Techniques in Environmental Research is a comprehensive resource on the many multidimensional analytical strategies to qualitatively and quantitatively assess and map the organic and inorganic pollutants in complex atmospheric, water and soil matrices. During the past two decades, the rapidly-evolving field of analytical instrumentation has produced sophisticated multidimensional tools capable of providing unique and in-depth knowledge on the chemical features of complex mixtures from these different environmental matrices. This book brings together the wealth of information in the current literature, assisting in the decision-making process by covering both the fundamentals and applications of these methodologies. Sections cover the wide variety of multidimensional analytical techniques, including multidimensional solution- and solid-state nuclear magnetic resonance (NMR) spectroscopy, ultrahigh-resolution mass spectrometry (MS), two-dimensional correlation spectroscopy, two-dimensional liquid and gas chromatography and capillary electrophoresis coupled to high-resolution detection techniques, and excitation-emission (EEM) fluorescence spectroscopy assisted by multiway data analysis tools, and the use of synchrotron-radiation-based techniques combined with other spectroscopic approaches to explore and map the speciation of elements. Identifies state-of-the-art multidimensional analytical methods for targeted and untargeted profiling of complex mixtures from different environmental matrices (soil, sediment, water, and air) Assesses the advantages and limitations of the most modern and sophisticated multidimensional analytical methods in environmental research Highlights the current challenges and potential future directions in the application of multidimensional analytical tools to advance the current understanding on the dynamics and fate of environmental pollutants in different environmental matrices

E-Learning as a Socio-Cultural System: A Multidimensional Analysis

E-Learning as a Socio-Cultural System: A Multidimensional Analysis PDF

Author: Zuzevi?i?t?, Vaiva

Publisher: IGI Global

Published: 2014-06-30

Total Pages: 403

ISBN-13: 1466661550

DOWNLOAD EBOOK →

Information and communication technologies play a crucial role in a number of modern industries. Among these, education has perhaps seen the greatest increases in efficiency and availability through Internet-based technologies. E-Learning as a Socio-Cultural System: A Multidimensional Analysis provides readers with a critical examination of the theories, models, and best practices in online education from a social perspective, evaluating blended, distance, and mobile learning systems with a focus on the interactions of their practitioners. Within the pages of this volume, teachers, students, administrators, policy makers, and IT professionals will all find valuable advice and enriching personal experiences in the field of online education.

Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems

Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems PDF

Author: Irik Z. Mukhametzyanov

Publisher: Springer Nature

Published: 2023-07-25

Total Pages: 314

ISBN-13: 3031338375

DOWNLOAD EBOOK →

This book presents a systematic review of multidimensional normalization methods and addresses problems frequently encountered when using various methods and ways to eliminate them. The invariant properties of the linear normalization methods presented here can be used to eliminate simple problems and avoid obvious errors when choosing a normalization method. The book introduces valuable, novel techniques for the multistep normalization of multidimensional data. One of these methods involves inverting the normalized values of cost attributes into profit attributes based on the reverse sorting algorithm (ReS algorithm). Another approach presented is the IZ method, which addresses the issue of shift in normalized attribute values. Additionally, a new method for normalizing the decision matrix is proposed, called the MS method, which ensures the equalization of average values and variances of attributes. Featuring numerous illustrative examples throughout, the book helps readers to understand what difficulties can arise in multidimensional normalization, what to expect from such problems, and how to solve them. It is intended for academics and professionals in various areas of data science, computing in mathematics, and statistics, as well as decision-making and operations.

Multidimensional Nonlinear Descriptive Analysis

Multidimensional Nonlinear Descriptive Analysis PDF

Author: Shizuhiko Nishisato

Publisher: CRC Press

Published: 2006-06-26

Total Pages: 336

ISBN-13: 9781584886129

DOWNLOAD EBOOK →

Quantification of categorical, or non-numerical, data is a problem that scientists face across a wide range of disciplines. Exploring data analysis in various areas of research, such as the social sciences and biology, Multidimensional Nonlinear Descriptive Analysis presents methods for analyzing categorical data that are not necessarily sampled randomly from a normal population and often involve nonlinear relations. This reference not only provides an overview of multidimensional nonlinear descriptive analysis (MUNDA) of discrete data, it also offers new results in a variety of fields. The first part of the book covers conceptual and technical preliminaries needed to understand the data analysis in subsequent chapters. The next two parts contain applications of MUNDA to diverse data types, with each chapter devoted to one type of categorical data, a brief historical comment, and basic skills peculiar to the data types. The final part examines several problems and then concludes with suggestions for future progress. Covering both the early and later years of MUNDA research in the social sciences, psychology, ecology, biology, and statistics, this book provides a framework for potential developments in even more areas of study.

Encyclopedia of Business Analytics and Optimization

Encyclopedia of Business Analytics and Optimization PDF

Author: Wang, John

Publisher: IGI Global

Published: 2014-02-28

Total Pages: 2862

ISBN-13: 1466652039

DOWNLOAD EBOOK →

As the age of Big Data emerges, it becomes necessary to take the five dimensions of Big Data- volume, variety, velocity, volatility, and veracity- and focus these dimensions towards one critical emphasis - value. The Encyclopedia of Business Analytics and Optimization confronts the challenges of information retrieval in the age of Big Data by exploring recent advances in the areas of knowledge management, data visualization, interdisciplinary communication, and others. Through its critical approach and practical application, this book will be a must-have reference for any professional, leader, analyst, or manager interested in making the most of the knowledge resources at their disposal.