Frame Theory In Data Science

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Frame Theory in Data Science

Author : Zhihua Zhang
Publisher : Springer Nature
Page : 262 pages
File Size : 53,5 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 9783031494833

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Frame Theory in Data Science by Zhihua Zhang Pdf

Relational Frame Theory

Author : Steven C. Hayes,Dermot Barnes-Holmes,Bryan Roche
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 51,7 Mb
Release : 2005-11-30
Category : Psychology
ISBN : 9780306476389

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Relational Frame Theory by Steven C. Hayes,Dermot Barnes-Holmes,Bryan Roche Pdf

This volume goes beyond theory and gives the empirical and conceptual tools to conduct an experimental analysis of virtually every substantive topic in human language and cognition, both basic and applied. It challenges behavioral psychology to abandon many of the specific theoretical formulations of its most prominent historical leader in the domain of complex human behavior, especially in human language and cognition, and approach the field from a new direction. It will be of interest to behavior theorists, cognitive psychologists, therapists, and educators.

Frames and Harmonic Analysis

Author : Yeonhyang Kim,Sivaram K. Narayan,Gabriel Picioroaga,Eric S. Weber
Publisher : American Mathematical Soc.
Page : 343 pages
File Size : 54,9 Mb
Release : 2018-04-27
Category : Education
ISBN : 9781470436193

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Frames and Harmonic Analysis by Yeonhyang Kim,Sivaram K. Narayan,Gabriel Picioroaga,Eric S. Weber Pdf

This volume contains the proceedings of the AMS Special Sessions on Frames, Wavelets and Gabor Systems and Frames, Harmonic Analysis, and Operator Theory, held from April 16-17, 2016, at North Dakota State University in Fargo, North Dakota. The papers appearing in this volume cover frame theory and applications in three specific contexts: frame constructions and applications, Fourier and harmonic analysis, and wavelet theory.

Information-Theoretic Methods in Data Science

Author : Miguel R. D. Rodrigues,Yonina C. Eldar
Publisher : Cambridge University Press
Page : 561 pages
File Size : 55,7 Mb
Release : 2021-04-08
Category : Computers
ISBN : 9781108427135

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Information-Theoretic Methods in Data Science by Miguel R. D. Rodrigues,Yonina C. Eldar Pdf

The first unified treatment of the interface between information theory and emerging topics in data science, written in a clear, tutorial style. Covering topics such as data acquisition, representation, analysis, and communication, it is ideal for graduate students and researchers in information theory, signal processing, and machine learning.

Finite Frames

Author : Peter G. Casazza,Gitta Kutyniok
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 49,5 Mb
Release : 2012-09-14
Category : Mathematics
ISBN : 9780817683733

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Finite Frames by Peter G. Casazza,Gitta Kutyniok Pdf

Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book.

An Introduction to Frames and Riesz Bases

Author : Ole Christensen
Publisher : Birkhäuser
Page : 704 pages
File Size : 53,6 Mb
Release : 2016-05-24
Category : Mathematics
ISBN : 9783319256139

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An Introduction to Frames and Riesz Bases by Ole Christensen Pdf

This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field. Key features include: *Elementary introduction to frame theory in finite-dimensional spaces * Basic results presented in an accessible way for both pure and applied mathematicians * Extensive exercises make the work suitable as a textbook for use in graduate courses * Full proofs includ ed in introductory chapters; only basic knowledge of functional analysis required * Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems * Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory * Selected research topics presented with recommendations for more advanced topics and further readin g * Open problems to stimulate further research An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference. Review of the first edition: "Ole Christensen’s An Introduction to Frames and Riesz Bases is a first-rate introduction to the field ... . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research." — Eric S. Weber, American Mathematical Monthly, Vol. 112, February, 2005

Data Science in Theory and Practice

Author : Maria Cristina Mariani,Osei Kofi Tweneboah,Maria Pia Beccar-Varela
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 44,5 Mb
Release : 2021-10-12
Category : Mathematics
ISBN : 9781119674689

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Data Science in Theory and Practice by Maria Cristina Mariani,Osei Kofi Tweneboah,Maria Pia Beccar-Varela Pdf

DATA SCIENCE IN THEORY AND PRACTICE EXPLORE THE FOUNDATIONS OF DATA SCIENCE WITH THIS INSIGHTFUL NEW RESOURCE Data Science in Theory and Practice delivers a comprehensive treatment of the mathematical and statistical models useful for analyzing data sets arising in various disciplines, like banking, finance, health care, bioinformatics, security, education, and social services. Written in five parts, the book examines some of the most commonly used and fundamental mathematical and statistical concepts that form the basis of data science. The authors go on to analyze various data transformation techniques useful for extracting information from raw data, long memory behavior, and predictive modeling. The book offers readers a multitude of topics all relevant to the analysis of complex data sets. Along with a robust exploration of the theory underpinning data science, it contains numerous applications to specific and practical problems. The book also provides examples of code algorithms in R and Python and provides pseudo-algorithms to port the code to any other language. Ideal for students and practitioners without a strong background in data science, readers will also learn from topics like: Analyses of foundational theoretical subjects, including the history of data science, matrix algebra and random vectors, and multivariate analysis A comprehensive examination of time series forecasting, including the different components of time series and transformations to achieve stationarity Introductions to both the R and Python programming languages, including basic data types and sample manipulations for both languages An exploration of algorithms, including how to write one and how to perform an asymptotic analysis A comprehensive discussion of several techniques for analyzing and predicting complex data sets Perfect for advanced undergraduate and graduate students in Data Science, Business Analytics, and Statistics programs, Data Science in Theory and Practice will also earn a place in the libraries of practicing data scientists, data and business analysts, and statisticians in the private sector, government, and academia.

Creativity in Intelligent Technologies and Data Science

Author : Alla G. Kravets,Maxim V. Shcherbakov,Peter P. Groumpos
Publisher : Springer Nature
Page : 578 pages
File Size : 54,8 Mb
Release : 2023-11-14
Category : Computers
ISBN : 9783031446153

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Creativity in Intelligent Technologies and Data Science by Alla G. Kravets,Maxim V. Shcherbakov,Peter P. Groumpos Pdf

This book constitutes the proceedings of the 5th Conference on Creativity in Intellectual Technologies and Data Science, CIT&DS 2023, held in Volgograd, Russia, in September 2023. The 40 regular papers and 2 keynote papers presented were carefully reviewed and selected from 148 submissions. The papers are organized in the following topical sections: Artificial intelligence and deep learning technologies for creative tasks. Knowledge discovery in patent and open sources; Artificial intelligence & Deep Learning Technologies for Creative tasks. Open science semantic technologies; Artificial intelligence and deep learning technologies for creative tasks. Computer vision and knowledge-based control; Cyber-physical systems and big data-driven control: pro-active modeling in intelligent decision making support; Cyber-Physical Systems & Big Data-driven world. Industrial creativity in CASE/CAI/CAD/PDM; Cyber-Physical Systems & Big Data-driven world. Intelligent Internet of Services and Internet of Things; Intelligent Technologies in Social Engineering. Data Science in Social Networks Analysis and Cyber Security; Intelligent Technologies in Social Engineering. Creativity & Game-Based Learning; Intelligent Technologies in Social Engineering. Intelligent Technologies in Medicine& Healthcare; Intelligent Technologies in Social Engineering. Intelligent technologies in Urban Design&Computing.

Linear Algebra for Data Science, Machine Learning, and Signal Processing

Author : Jeffrey A. Fessler,Raj Rao Nadakuditi
Publisher : Cambridge University Press
Page : 453 pages
File Size : 44,9 Mb
Release : 2024-04-30
Category : Computers
ISBN : 9781009418140

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Linear Algebra for Data Science, Machine Learning, and Signal Processing by Jeffrey A. Fessler,Raj Rao Nadakuditi Pdf

Master matrix methods via engaging data-driven applications, aided by classroom-tested quizzes, homework exercises and online Julia demos.

New Trends in Applied Harmonic Analysis

Author : Akram Aldroubi,Carlos Cabrelli,Stephane Jaffard,Ursula Molter
Publisher : Birkhäuser
Page : 334 pages
File Size : 42,8 Mb
Release : 2016-04-21
Category : Mathematics
ISBN : 9783319278735

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New Trends in Applied Harmonic Analysis by Akram Aldroubi,Carlos Cabrelli,Stephane Jaffard,Ursula Molter Pdf

This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through the resolution of deep theoretical problems in harmonic analysis. New Trends in Applied Harmonic Analysis focuses on two particularly active areas that are representative of such advances: multifractal analysis, and sparse representation and compressed sensing. The contributions are written by leaders in these areas, and cover both theoretical aspects and applications. This work should prove useful not only to PhD students and postdocs in mathematics and signal and image processing, but also to researchers working in related topics.

Library of Congress Subject Headings

Author : Library of Congress
Publisher : Unknown
Page : 1422 pages
File Size : 41,6 Mb
Release : 2003
Category : Subject headings, Library of Congress
ISBN : UCBK:C081886575

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Library of Congress Subject Headings by Library of Congress Pdf

Counting Lattice Paths Using Fourier Methods

Author : Shaun Ault,Charles Kicey
Publisher : Springer Nature
Page : 136 pages
File Size : 52,7 Mb
Release : 2019-08-30
Category : Mathematics
ISBN : 9783030266967

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Counting Lattice Paths Using Fourier Methods by Shaun Ault,Charles Kicey Pdf

This monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function. Utilizing a previously unexplored connection between combinatorics and Fourier analysis, this method will allow readers to move to higher-dimensional lattice path problems with ease. The technique is carefully developed in the first three chapters using the algebraic properties of the DFT, moving from one-dimensional problems to higher dimensions. In the following chapter, the discussion turns to geometric properties of the DFT in order to study the corridor state space. Each chapter poses open-ended questions and exercises to prompt further practice and future research. Two appendices are also provided, which cover complex variables and non-rectangular lattices, thus ensuring the text will be self-contained and serve as a valued reference. Counting Lattice Paths Using Fourier Methods is ideal for upper-undergraduates and graduate students studying combinatorics or other areas of mathematics, as well as computer science or physics. Instructors will also find this a valuable resource for use in their seminars. Readers should have a firm understanding of calculus, including integration, sequences, and series, as well as a familiarity with proofs and elementary linear algebra.

Harmonic and Applied Analysis

Author : Filippo De Mari,Ernesto De Vito
Publisher : Springer Nature
Page : 316 pages
File Size : 54,5 Mb
Release : 2021-12-13
Category : Mathematics
ISBN : 9783030866648

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Harmonic and Applied Analysis by Filippo De Mari,Ernesto De Vito Pdf

Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science. This volume explores these rapidly growing areas and features contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, held at the University of Genova in 2017 and 2019. Each chapter offers an introduction to essential material and then demonstrates connections to more advanced research, with the aim of providing an accessible entrance for students and researchers. Topics covered include ill-posed problems; concentration inequalities; regularization and large-scale machine learning; unitarization of the radon transform on symmetric spaces; and proximal gradient methods for machine learning and imaging.

Proceedings of International Conference on Data Science and Applications

Author : Mukesh Saraswat,Sarbani Roy,Chandreyee Chowdhury,Amir H. Gandomi
Publisher : Springer Nature
Page : 792 pages
File Size : 40,8 Mb
Release : 2021-11-22
Category : Technology & Engineering
ISBN : 9789811653483

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Proceedings of International Conference on Data Science and Applications by Mukesh Saraswat,Sarbani Roy,Chandreyee Chowdhury,Amir H. Gandomi Pdf

This book gathers outstanding papers presented at the International Conference on Data Science and Applications (ICDSA 2021), organized by Soft Computing Research Society (SCRS) and Jadavpur University, Kolkata, India, from April 10 to 11, 2021. It covers theoretical and empirical developments in various areas of big data analytics, big data technologies, decision tree learning, wireless communication, wireless sensor networking, bioinformatics and systems, artificial neural networks, deep learning, genetic algorithms, data mining, fuzzy logic, optimization algorithms, image processing, computational intelligence in civil engineering, and creative computing.

Handbook of Artificial Intelligence in Education

Author : Benedict du Boulay,Antonija Mitrovic,Kalina Yacef
Publisher : Edward Elgar Publishing
Page : 697 pages
File Size : 45,6 Mb
Release : 2023-01-20
Category : Education
ISBN : 9781800375413

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Handbook of Artificial Intelligence in Education by Benedict du Boulay,Antonija Mitrovic,Kalina Yacef Pdf

Gathering insightful and stimulating contributions from leading global experts in Artificial Intelligence in Education (AIED), this comprehensive Handbook traces the development of AIED from its early foundations in the 1970s to the present day.