Graph Representation Learning


Book Description

Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.




Introduction to Applied Linear Algebra


Book Description

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.







Elementary and Intermediate Algebra


Book Description

This book has been designed to present the material, reinforce major concepts, and test student understanding using a variety of instructional methods and features. The authors had seven objectives in writing this text: 1.) To teach students the language of algebra--how to read, write, speak, and think mathematically (Graphics, examples, and Study Sets throughout text emphasize key phrase and translation); 2.) To use a group of fundamental algebraic concepts as the foundation of the text (introduce equations, variables, problem solving, functions, and graphing in Chapter 1) and constantly reinforce those major concepts of algebra throughout the text (Key Concept feature); 3.) To aid student comprehension and confidence by introducing concepts in one context and revisiting throughout the book in other contexts (coverage of problem solving is one good example); 4.) To gain and keep students' attention through creative applications (See any Applications section in Study Sets), an interactive approach to instruction (Self Checks), and a visually appealing design; 5.) To have top-notch problem sets (purposefully named Study Sets, not Problem or Exercise Sets) that break learning into smaller pieces so that students do not become overwhelmed; 6.) To constantly show how the material being studied can be used to solve real-world problems; 7.) To blend traditional and reform instructional approaches--from vocabulary, practice, and well-defined pedagogy to place an emphasis on problem solving, reasoning, communicating, and technology (Study Sets).







Command Of The Air


Book Description

In the pantheon of air power spokesmen, Giulio Douhet holds center stage. His writings, more often cited than perhaps actually read, appear as excerpts and aphorisms in the writings of numerous other air power spokesmen, advocates-and critics. Though a highly controversial figure, the very controversy that surrounds him offers to us a testimonial of the value and depth of his work, and the need for airmen today to become familiar with his thought. The progressive development of air power to the point where, today, it is more correct to refer to aerospace power has not outdated the notions of Douhet in the slightest In fact, in many ways, the kinds of technological capabilities that we enjoy as a global air power provider attest to the breadth of his vision. Douhet, together with Hugh “Boom” Trenchard of Great Britain and William “Billy” Mitchell of the United States, is justly recognized as one of the three great spokesmen of the early air power era. This reprint is offered in the spirit of continuing the dialogue that Douhet himself so perceptively began with the first edition of this book, published in 1921. Readers may well find much that they disagree with in this book, but also much that is of enduring value. The vital necessity of Douhet’s central vision-that command of the air is all important in modern warfare-has been proven throughout the history of wars in this century, from the fighting over the Somme to the air war over Kuwait and Iraq.




Elementary Algebra


Book Description

Yoshiwara's ELEMENTARY ALGEBRA was written with two goals in mind: to present the skills of algebra in the context of modeling and problem solving; and to engage students as active participants in the process of learning. The text begins with a study of tables and graphs, and the concept of the variable is developed from that platform. Graphs are used extensively throughout the book to illustrate algebraic technique and to help students visualize relationships between variables. This book ultimately builds an intuitive framework for the later study of functions, thus giving students the skills they need to be successful in future math courses.