Hongyu Guo's Books

Modern Mathematics And Applications In Computer Graphics And Vision

By: Hongyu Guo

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Modern Mathematics And Applications In Computer Graphics And Vision

By: Hongyu Guo

This book presents a concise exposition of modern mathematical concepts, models and methods with applications in computer graphics, vision and machine learning. The compendium is organized in four parts — Algebra, Geometry, Topology, and Applications. One of the features is a unique treatment of tensor and manifold topics to make them easier for the students. All proofs are omitted to give an emphasis on the exposition of the concepts. Effort is made to help students to build intuition and avoid parrot-like learning.There is minimal inter-chapter dependency. Each chapter can be used as an independent crash course and the reader can start reading from any chapter — almost. This book is intended for upper level undergraduate students, graduate students and researchers in computer graphics, geometric modeling, computer vision, pattern recognition and machine learning. It can be used as a reference book, or a textbook for a selected topics course with the instructor's choice of any of the topics.

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Page Count

523

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814449350

ISBN 13

9789814449359

What Are Tensors Exactly?

By: Hongyu Guo

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What Are Tensors Exactly?

By: Hongyu Guo

Tensors have numerous applications in physics and engineering. There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive.The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. As a result, they will not need to recite those definitions in a parrot-like manner any more. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.This unique reference text will benefit researchers, professionals, academics, graduate students and undergraduate students.

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246

Publisher

World Scientific

Published Date

ISBN 10

9811241031

ISBN 13

9789811241031

Numerical Methods for Inverse Scattering Problems

By: Jingzhi Li,Hongyu Liu

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Numerical Methods for Inverse Scattering Problems

By: Jingzhi Li,Hongyu Liu

This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspective. It highlights the collaborative research outputs by the two groups of the authors yet surveys and reviews many existing results by global researchers in the literature. The book consists of three parts respectively corresponding to the studies on acoustic, electromagnetic, and elastic scattering problems. In each part, the authors start with in-depth theoretical and computational treatments of the forward scattering problems and then discuss various numerical reconstruction schemes for the associated inverse scattering problems in different scenarios of practical interest. In addition, the authors provide an overview of the existing results in the literature by other researchers. This book can serve as a handy reference for researchers or practitioners who are working on or implementing inverse scattering methods. It can also serve as a graduate textbook for research students who are interested in working on numerical algorithms for inverse scattering problems.

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Page Count

373

Publisher

Springer Nature

Published Date

ISBN 10

9819937728

ISBN 13

9789819937721

Enabling Smart Urban Services with GPS Trajectory Data

By: Chao Chen,Daqing Zhang,Yasha Wang,Hongyu Huang

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Enabling Smart Urban Services with GPS Trajectory Data

By: Chao Chen,Daqing Zhang,Yasha Wang,Hongyu Huang

With the proliferation of GPS devices in daily life, trajectory data that records where and when people move is now readily available on a large scale. As one of the most typical representatives, it has now become widely recognized that taxi trajectory data provides rich opportunities to enable promising smart urban services. Yet, a considerable gap still exists between the raw data available, and the extraction of actionable intelligence. This gap poses fundamental challenges on how we can achieve such intelligence. These challenges include inaccuracy issues, large data volumes to process, and sparse GPS data, to name but a few. Moreover, the movements of taxis and the leaving trajectory data are the result of a complex interplay between several parties, including drivers, passengers, travellers, urban planners, etc. In this book, we present our latest findings on mining taxi GPS trajectory data to enable a number of smart urban services, and to bring us one step closer to the vision of smart mobility. Firstly, we focus on some fundamental issues in trajectory data mining and analytics, including data map-matching, data compression, and data protection. Secondly, driven by the real needs and the most common concerns of each party involved, we formulate each problem mathematically and propose novel data mining or machine learning methods to solve it. Extensive evaluations with real-world datasets are also provided, to demonstrate the effectiveness and efficiency of using trajectory data. Unlike other books, which deal with people and goods transportation separately, this book also extends smart urban services to goods transportation by introducing the idea of crowdshipping, i.e., recruiting taxis to make package deliveries on the basis of real-time information. Since people and goods are two essential components of smart cities, we feel this extension is bot logical and essential. Lastly, we discuss the most important scientific problems and open issues in mining GPS trajectory data.

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351

Publisher

Springer Nature

Published Date

ISBN 10

981160178X

ISBN 13

9789811601781

Nonviolence and Education

Cross-Cultural Pathways

By: Hongyu Wang

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Nonviolence and Education

Cross-Cultural Pathways

By: Hongyu Wang

In current global politics, which positions China as a competitor to American leadership, in-depth understandings of transnational mutual engagement are much needed for cultivating nonviolent relations. Exploring American and Chinese professors’ experiences at the intersection of the individual, society, and history, and weaving the autobiographical and the global, this book furthers understanding of their cross-cultural personal awareness and educational work at universities in both countries. While focusing on life histories, it also draws on both American and Chinese intellectual traditions such as American nonviolence activism, Taoism, and Buddhism to formulate a vision of nonviolence in curriculum studies. Centering cross-cultural education and pedagogy about, for, and through nonviolence, this volume contributes to internationalizing curriculum studies and introduces curriculum theorizing at the level of higher education. Hongyu Wang brings together stories, dialogues, and juxtapositions of cross-cultural pathways and pedagogies in a powerful case for theorizing and performing nonviolence education as visionary work in the internationalization of curriculum studies.

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Page Count

227

Publisher

Routledge

Published Date

ISBN 10

1135049238

ISBN 13

9781135049232

Spectral Geometry and Inverse Scattering Theory

By: Huaian Diao,Hongyu Liu

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Spectral Geometry and Inverse Scattering Theory

By: Huaian Diao,Hongyu Liu

Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering problems for time-harmonic acoustic, electromagnetic and elastic waves. Moreover, it provides systematical and in-depth discussion on an important class of geometrical inverse scattering problems, where the inverse problem aims at recovering the shape and location of a scatterer independent of its medium properties. Readers of this book will be exposed to a unified framework for analyzing a variety of geometrical inverse scattering problems from a spectral geometric perspective. This book contains both overviews of classical results and update-to-date information on latest developments from both a practical and theoretical point of view. It can be used as an advanced graduate textbook in universities or as a reference source for researchers in acquiring the state-of-the-art results in inverse scattering theory and their potential applications.

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Page Count

388

Publisher

Springer Nature

Published Date

ISBN 10

3031346157

ISBN 13

9783031346156

Mathematical Principles in Bioinformatics

By: Stephen S.-T. Yau,Xin Zhao,Kun Tian,Hongyu Yu

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Mathematical Principles in Bioinformatics

By: Stephen S.-T. Yau,Xin Zhao,Kun Tian,Hongyu Yu

This textbook introduces bioinformatics to students in mathematics with no biology background assumed and it provides solid mathematical tools for biology students along with an understanding of how to implement them in bioinformatics problems. In addition to the basics, the text offers new approaches to understanding biological sequences. The concise presentation distinguishes itself from others on the subject, discussing and providing principles that relate to current open problems in bioinformatics as well as considering a variety of models. The convex hull principle is highlighted, opening a new interdisciplinary research area at the intersection of biology, mathematics, and computer science. Prerequisites include first courses in linear algebra, probability and statistics, and mathematical analysis. Researchers in mathematics, biology, and math-biology, will also find aspects of this text useful. This textbook is written based on the authors' research works that have been published in various journals along with the lecture notes used when teaching bioinformatics courses at the University of Illinois at Chicago and at Tsinghua University. The content may be divided into two parts. The first part includes three chapters, introducing some basic concepts. Chapter 1 provides biological background in molecular biology for mathematicians. Chapter 2 describes biological databases that are commonly used. Chapter 3 is concerned with alignment methods including global/local alignment, heuristic alignment, and multiple alignment. The second part consisting of five chapters, describes several bioinformatics principles using a rigorous mathematical formulation. Chapter 4 introduces the time-frequency spectral principle and its applications in bioinformatics. In Chapters 5 and 6, two strategies are used, the graphical representation and the natural vector method, to represent biological sequences, and conduct sequence comparison and phylogenetic analysis without alignment. Chapter 7 presents the convex hull principle and shows how it can be used to mathematically determine whether a certain amino acid sequence can be a protein. The last chapter summarizes additional mathematical ideas relating to sequence comparisons, such as new feature vectors and metrics. This part focuses on the governing principle in biology and provides plenty of alignment-free methods, which cannot be found in any other book.

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Page Count

177

Publisher

Springer Nature

Published Date

ISBN 10

3031482956

ISBN 13

9783031482953

Modern Mathematics and Applications in Computer Graphics and Vision

By: Hongyu Guo

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Modern Mathematics and Applications in Computer Graphics and Vision

By: Hongyu Guo

Mathematical Structures; Algebra: Linear Algebra; Tensor Algebra; Exterior Algebra; Geometric Algebra; Geometry: Projective Geometry; Differential Geometry; Non-Euclidean Geometry; Topology and More: General Topology; Manifolds; Hilbert Spaces; Measure Spaces and Probability Spaces; Applications: Color Spaces; Perspective Analysis of Images; Quaternions and 3-D Rotations; Support Vector Machines and Reproducing Kernel Hilbert Spaces; Manifold Learning in Machine Learning;

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Page Count

498

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

9814449326

ISBN 13

9789814449328

What Are Tensors Exactly?

By: Hongyu Guo

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What Are Tensors Exactly?

By: Hongyu Guo

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Page Count

246

Publisher

World Scientific

Published Date

ISBN 10

9811241031

ISBN 13

9789811241031

Wireless Sensor Networks

13th China Conference, CWSN 2019, Chongqing, China, October 12-14, 2019, Revised Selected Papers

By: Songtao Guo

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Wireless Sensor Networks

13th China Conference, CWSN 2019, Chongqing, China, October 12-14, 2019, Revised Selected Papers

By: Songtao Guo

This book constitutes the refereed proceedings of the 13th China Conference on Wireless Sensor Networks, CWSN 2019, held in Chongqing, China, in October 2019. The 27 full papers were carefully reviewed and selected from 158 submissions. The papers are organized in topical sections on fundamentals on Internet of Things; applications on Internet of Things; and IntelliSense, location and tracking.

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Page Count

382

Published Date

ISBN 10

981151786X

ISBN 13

9789811517860

Book's by Hongyu Guo

Modern Mathematics And Applications In Computer Graphics And Vision

Modern Mathematics And Applications In Computer Graphics And Vision

What Are Tensors Exactly?

What Are Tensors Exactly?

Numerical Methods for Inverse Scattering Problems

Numerical Methods for Inverse Scattering Problems

Enabling Smart Urban Services with GPS Trajectory Data

Enabling Smart Urban Services with GPS Trajectory Data

Nonviolence and Education

Nonviolence and Education

Spectral Geometry and Inverse Scattering Theory

Spectral Geometry and Inverse Scattering Theory

Mathematical Principles in Bioinformatics

Mathematical Principles in Bioinformatics

Modern Mathematics and Applications in Computer Graphics and Vision

Modern Mathematics and Applications in Computer Graphics and Vision

What Are Tensors Exactly?

What Are Tensors Exactly?

Wireless Sensor Networks

Wireless Sensor Networks

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