Frame Theory in Data Science

Frame Theory in Data Science PDF Author: Zhihua Zhang
Publisher: Springer Nature
ISBN: 3031494830
Category :
Languages : en
Pages : 262

Get Book Here

Book Description

Frame Theory in Data Science

Frame Theory in Data Science PDF Author: Zhihua Zhang
Publisher: Springer Nature
ISBN: 3031494830
Category :
Languages : en
Pages : 262

Get Book Here

Book Description


Finite Frames

Finite Frames PDF Author: Peter G. Casazza
Publisher: Springer Science & Business Media
ISBN: 0817683739
Category : Mathematics
Languages : en
Pages : 492

Get Book Here

Book Description
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.

Verbal Behavior

Verbal Behavior PDF Author: Burrhus Frederic Skinner
Publisher: New York : Appleton-Century-Crofts
ISBN:
Category : Language and languages
Languages : en
Pages : 478

Get Book Here

Book Description


Advances in Relational Frame Theory

Advances in Relational Frame Theory PDF Author: Simon Dymond
Publisher: New Harbinger Publications
ISBN: 1608824497
Category : Psychology
Languages : en
Pages : 395

Get Book Here

Book Description
As acceptance and commitment therapy (ACT) increases in popularity among clinicians, it becomes more and more vital to understand its theoretical basis, relational frame theory (RFT). RFT is a psychological theory of human language and cognition, developed by Steven C. Hayes. It focuses on how humans learn language and how language connects them to their environment. In essence, our thoughts, feelings, and behaviors are dependent on our experiences and the context that these experiences provide. Edited by leading relational frame theory (RFT) scholars, Simon Dymond, PhD, and Bryan Roche, PhD, Advances in Relational Frame Theory presents advances in all aspects of RFT research over the last decade, and provides a greater understanding of the core principles of acceptance and commitment therapy (ACT). The book also contains chapters written by Steven C. Hayes and Kelly Wilson, both research-active experts from the RFT community around the world. Because ACT is focused largely on accepting one’s thoughts, it is important to understand where these thoughts come from. And while many books on RFT are abstract and require extensive knowledge of behavior analysis, this is the first book to comprehensively but accessibly introduce RFT to ACT mental health professionals. Gaining a deeper knowledge of the relational concepts of RFT can help you understand why a person's behavior does not always match up with their self-professed values. Whether you are a mental health professional, or simply someone who is interested in the connection between language and experience, this book is an invaluable resource.

Data Science in Theory and Practice

Data Science in Theory and Practice PDF Author: Maria Cristina Mariani
Publisher: John Wiley & Sons
ISBN: 1119674689
Category : Mathematics
Languages : en
Pages : 404

Get Book Here

Book Description
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.

Relational Frame Theory

Relational Frame Theory PDF Author: Steven C. Hayes
Publisher:
ISBN: 9781475775204
Category :
Languages : en
Pages : 308

Get Book Here

Book Description


Frames and Harmonic Analysis

Frames and Harmonic Analysis PDF Author: Yeonhyang Kim
Publisher: American Mathematical Soc.
ISBN: 1470436191
Category : Education
Languages : en
Pages : 358

Get Book Here

Book Description
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.

Learning RFT

Learning RFT PDF Author: Niklas Torneke
Publisher: New Harbinger Publications
ISBN: 1572249080
Category : Psychology
Languages : en
Pages : 290

Get Book Here

Book Description
Relational frame theory, or RFT, is the little-understood behavioral theory behind a recent development in modern psychology: the shift from the cognitive paradigm underpinning cognitive behavioral therapy to a new understanding of language and cognition. Learning RFT presents a basic yet comprehensive introduction to this fascinating theory, which forms the basis of acceptance and commitment therapy. The book also offers practical guidance for directly applying it in clinical work. In the book, author Niklas Törneke presents the building blocks of RFT: language as a particular kind of relating, derived stimulus relations, and transformation of stimulus functions. He then shows how these concepts are essential to understanding acceptance and commitment therapy and other therapeutic models. Learning RFT shows how to use experiential exercises and metaphors in psychological treatment and explains how they can help your clients. This book belongs on the bookshelves of psychologists, psychotherapists, students, and others seeking to deepen their understanding of psychological treatment from a behavioral perspective.

Information-Theoretic Methods in Data Science

Information-Theoretic Methods in Data Science PDF Author: Miguel R. D. Rodrigues
Publisher: Cambridge University Press
ISBN: 1108427138
Category : Computers
Languages : en
Pages : 561

Get Book Here

Book Description
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.

An Introduction to Frames and Riesz Bases

An Introduction to Frames and Riesz Bases PDF Author: Ole Christensen
Publisher: Birkhäuser
ISBN: 3319256130
Category : Mathematics
Languages : en
Pages : 719

Get Book Here

Book Description
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