A Study of Visualization Approaches and Fractal Dimension Classification of Certain Boolean Networks PDF Download
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Author: Gretchen Boxdorfer
Publisher:
ISBN:
Category : Cellular automata
Languages : en
Pages : 0
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Book Description
Boolean Networks provide a simple yet effective approach to the analysis of many complex dynamical systems. And yet, this approach is not currently utilized as widely as possible in various fields. Whether due to lack of knowledge about Boolean Networks or lack of proper modeling software, researchers outside of mathematics may not be able to use this tool that could potentially help with solutions in their own field of knowledge. The main goal of this thesis is to explain the basics of Cellular Automaton and Boolean Networks in a way that requires little mathematical background, making the concepts of these topics accessible to many. Recognizing that visual aides and key to deeper understanding of these concepts, we provide a brief overview of some of the currently available visualization software; asw well as explore some potential additions and propose some possible modifications to these visualization approaches. Furthermore, we outline the basics of fractals and fractal dimensions, and explore how Boolean Networks may be thought of within this framework. We detail the calculation of fractal dimentions of certain Boolean Networks and examine the correlation between fractal dimension and some aspects of the network dynamics. Specifically, we explore the relationship between fractal dimensions and Wolfram's 4 classes of Elementary Cellular Automaton behavior. Our findings match and complement previous work on the topic, and are an indication that fractal dimensions are a meaningful measure of network dynamics, the implication of this being that it may be possible to quantify complex networks using simple measures. The goal is to improve communication surrounding the discourse of Boolean Networks and their utility both among non-mathematicians, and between mathematicians and others. Some applications for Boolean Networks are detailed, including suggested modeling software and use of new findings for these fields.
Author: Gretchen Boxdorfer
Publisher:
ISBN:
Category : Cellular automata
Languages : en
Pages : 0
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Book Description
Boolean Networks provide a simple yet effective approach to the analysis of many complex dynamical systems. And yet, this approach is not currently utilized as widely as possible in various fields. Whether due to lack of knowledge about Boolean Networks or lack of proper modeling software, researchers outside of mathematics may not be able to use this tool that could potentially help with solutions in their own field of knowledge. The main goal of this thesis is to explain the basics of Cellular Automaton and Boolean Networks in a way that requires little mathematical background, making the concepts of these topics accessible to many. Recognizing that visual aides and key to deeper understanding of these concepts, we provide a brief overview of some of the currently available visualization software; asw well as explore some potential additions and propose some possible modifications to these visualization approaches. Furthermore, we outline the basics of fractals and fractal dimensions, and explore how Boolean Networks may be thought of within this framework. We detail the calculation of fractal dimentions of certain Boolean Networks and examine the correlation between fractal dimension and some aspects of the network dynamics. Specifically, we explore the relationship between fractal dimensions and Wolfram's 4 classes of Elementary Cellular Automaton behavior. Our findings match and complement previous work on the topic, and are an indication that fractal dimensions are a meaningful measure of network dynamics, the implication of this being that it may be possible to quantify complex networks using simple measures. The goal is to improve communication surrounding the discourse of Boolean Networks and their utility both among non-mathematicians, and between mathematicians and others. Some applications for Boolean Networks are detailed, including suggested modeling software and use of new findings for these fields.
Author: Ronen Feldman
Publisher: Cambridge University Press
ISBN: 0521836573
Category : Computers
Languages : en
Pages : 423
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Book Description
Publisher description
Author: Hamid Reza Pourghasemi
Publisher: Elsevier
ISBN: 0128156953
Category : Mathematics
Languages : en
Pages : 798
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Book Description
Spatial Modeling in GIS and R for Earth and Environmental Sciences offers an integrated approach to spatial modelling using both GIS and R. Given the importance of Geographical Information Systems and geostatistics across a variety of applications in Earth and Environmental Science, a clear link between GIS and open source software is essential for the study of spatial objects or phenomena that occur in the real world and facilitate problem-solving. Organized into clear sections on applications and using case studies, the book helps researchers to more quickly understand GIS data and formulate more complex conclusions. The book is the first reference to provide methods and applications for combining the use of R and GIS in modeling spatial processes. It is an essential tool for students and researchers in earth and environmental science, especially those looking to better utilize GIS and spatial modeling. Offers a clear, interdisciplinary guide to serve researchers in a variety of fields, including hazards, land surveying, remote sensing, cartography, geophysics, geology, natural resources, environment and geography Provides an overview, methods and case studies for each application Expresses concepts and methods at an appropriate level for both students and new users to learn by example
Author: Andrea Belgrano
Publisher: Oxford University Press, USA
ISBN: 0198564821
Category : Science
Languages : en
Pages : 274
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Book Description
'Aquatic Food Webs' provides a current synthesis of theoretical and empirical food web research. The textbook is suitable for graduate level students as well as professional researchers in community, ecosystem, and theoretical ecology, in aquatic ecology, and in conservation biology.
Author: Yi-Ping Phoebe Chen
Publisher: Springer Science & Business Media
ISBN: 9783540208730
Category : Computers
Languages : en
Pages : 420
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Book Description
Introductio to bioinformatics. Overview of structural bioinformatics. Database warehousing in bioinformatics. Modeling for bioinformatics. Pattern matching for motifs. Visualization and fractal analysis of biological sequences. Microarray data analysis.
Author: Will Schroeder
Publisher: Prentice Hall
ISBN:
Category : Computers
Languages : en
Pages : 688
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Book Description
This Java-built "Visualization Toolkit (VTK)" will enable readers to represent any set of data--medical, scientific, or financial--in 3D. Users will learn to build 3D Java applets with the VTK software on the CD-ROM. The book covers Web applications like VRML, Java, and Java3D.
Author: Matthias Dehmer
Publisher: Springer Science & Business Media
ISBN: 0817647899
Category : Mathematics
Languages : en
Pages : 493
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Book Description
Filling a gap in literature, this self-contained book presents theoretical and application-oriented results that allow for a structural exploration of complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems. Applications to biology, chemistry, linguistics, and data analysis are emphasized. The book is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelligence, computational and systems biology, cognitive science, computational linguistics, and mathematical chemistry. It may also be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods.
Author: René Vidal
Publisher: Springer
ISBN: 0387878114
Category : Science
Languages : en
Pages : 590
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Book Description
This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers. This challenging task requires the development of new algebraic, geometric, statistical, and computational methods for efficient and robust estimation and segmentation of one or multiple subspaces. The book also presents interesting real-world applications of these new methods in image processing, image and video segmentation, face recognition and clustering, and hybrid system identification etc. This book is intended to serve as a textbook for graduate students and beginning researchers in data science, machine learning, computer vision, image and signal processing, and systems theory. It contains ample illustrations, examples, and exercises and is made largely self-contained with three Appendices which survey basic concepts and principles from statistics, optimization, and algebraic-geometry used in this book. René Vidal is a Professor of Biomedical Engineering and Director of the Vision Dynamics and Learning Lab at The Johns Hopkins University. Yi Ma is Executive Dean and Professor at the School of Information Science and Technology at ShanghaiTech University. S. Shankar Sastry is Dean of the College of Engineering, Professor of Electrical Engineering and Computer Science and Professor of Bioengineering at the University of California, Berkeley.
Author: Gintautas Dzemyda
Publisher: Springer Science & Business Media
ISBN: 1441902368
Category : Mathematics
Languages : en
Pages : 262
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Book Description
This book highlights recent developments in multidimensional data visualization, presenting both new methods and modifications on classic techniques. Throughout the book, various applications of multidimensional data visualization are presented including its uses in social sciences (economy, education, politics, psychology), environmetrics, and medicine (ophthalmology, sport medicine, pharmacology, sleep medicine). The book provides recent research results in optimization-based visualization. Evolutionary algorithms and a two-level optimization method, based on combinatorial optimization and quadratic programming, are analyzed in detail. The performance of these algorithms and the development of parallel versions are discussed. The utilization of new visualization techniques to improve the capabilies of artificial neural networks (self-organizing maps, feed-forward networks) is also discussed. The book includes over 100 detailed images presenting examples of the many different visualization techniques that the book presents. This book is intended for scientists and researchers in any field of study where complex and multidimensional data must be represented visually.
Author: Matt Pearson
Publisher: Simon and Schuster
ISBN: 1638352437
Category : Computers
Languages : en
Pages : 352
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Book Description
Summary Generative Art presents both the technique and the beauty of algorithmic art. The book includes high-quality examples of generative art, along with the specific programmatic steps author and artist Matt Pearson followed to create each unique piece using the Processing programming language. About the Technology Artists have always explored new media, and computer-based artists are no exception. Generative art, a technique where the artist creates print or onscreen images by using computer algorithms, finds the artistic intersection of programming, computer graphics, and individual expression. The book includes a tutorial on Processing, an open source programming language and environment for people who want to create images, animations, and interactions. About the Book Generative Art presents both the techniques and the beauty of algorithmic art. In it, you'll find dozens of high-quality examples of generative art, along with the specific steps the author followed to create each unique piece using the Processing programming language. The book includes concise tutorials for each of the technical components required to create the book's images, and it offers countless suggestions for how you can combine and reuse the various techniques to create your own works. Purchase of the print book comes with an offer of a free PDF, ePub, and Kindle eBook from Manning. Also available is all code from the book. What's Inside The principles of algorithmic art A Processing language tutorial Using organic, pseudo-random, emergent, and fractal processes ================================================= Table of Contents Part 1 Creative Coding Generative Art: In Theory and Practice Processing: A Programming Language for ArtistsPart 2 Randomness and Noise The Wrong Way to Draw A Line The Wrong Way to Draw a Circle Adding Dimensions Part 3 Complexity Emergence Autonomy Fractals
