Methods and Algorithms

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it

The second edition of this successful machine vision textbook is completely updated, revised and expanded by 15% to reflect the developments of recent years in the fields of image acquisition, machine

The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography. Applications of mathematical conc

This textbook covers the fundamentals of optimization, including linear, mixed-integer linear, nonlinear, and dynamic optimization techniques, with a clear engineering focus. It carefully describes cl

This valuable source for graduate students and researchers provides a comprehensive introduction to current theories and applications in optimization methods and network models. Contributions to this

Written in easy to understand language, this self-explanatory guide introduces the fundamentals of finite element methods and its application to differential equations. Beginning with a brief introduction to Sobolev spaces and elliptic scalar problems, the text progresses through an explanation of finite element spaces and estimates for the interpolation error. The concepts of finite element methods for parabolic scalar parabolic problems, object-oriented finite element algorithms, efficient implementation techniques, and high dimensional parabolic problems are presented in different chapters. Recent advances in finite element methods, including non-conforming finite elements for boundary value problems of higher order and approaches for solving differential equations in high dimensional domains are explained for the benefit of the reader. Numerous solved examples and mathematical theorems are interspersed throughout the text for enhanced learning.

探討如何將電腦科學中的演算法原理應用到日常生活與人類決策中。作者結合心理學、認知科學與計算機科學，說明演算法不僅是電腦解題的工具，更是我們在面對生活難題時可借鑑的思考模型。本書涵蓋多種實用議題，透過演算法的視角來處理生活中的決策與權衡，例如：➤最佳停下時機（Optimal Stopping）：如何判斷在眾多選項中何時停止尋找並做出決定，如招聘或約會。➤探索與利用的平衡（Explore-Exploit Trade-off）：何時探索新機會，何時利用已知資源。➤排序與組織：提升查找效率的策略。➤快取管理：如何在有限記憶空間中有效保留重要資訊。➤工作排程與切換成本：如何管理多任務與優先順序。➤貝氏定理（Bayes's Rule）：結合先驗知識與新資訊做出推論。➤放寬問題限制：在無解或計算困難的情況下，尋求「夠好」的近似解。➤隨機性與資源管理：利用隨機策略在不確定環境下取得良好結果。➤網絡與遊戲理論：理解互動系統與多方利益的決策動態。書中強調，雖然演算法能為複雜問題提供指導，但現實生活中決策仍存在不確定性和失敗風險。重要的是採用合理的策略來面對時間與資源限制，並學習在不完美中作出最佳抉擇。該書還指出，人類在面對計算難題時，常能透過直覺和簡化模型達成驚人的表現。此書獲得廣泛好評，被譽為一本能讓人重新認識「演算法」不僅屬於科技領域，更是生活智慧的指導手冊。A fascinating exploration of how computer algorithms can be applied to our everyday lives. What should we do, or leave undone, in a day or a lifetime? Exploring how insights from computer algorithms can be applied to our everyday lives, 'Algorithms To Live By' helps to solve common decision-making problems and illuminate the workings of the human mind. When should you switch between different tasks, and how many tas

Large-Scale Simulation: Models, Algorithms, and Applications gives you firsthand insight on the latest advances in large-scale simulation techniques. Most of the research results are drawn from the au

New technologies have enabled us to collect massive amounts of data in many fields. However, our pace of discovering useful information and knowledge from these data falls far behind our pace of colle

This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and

"This book describes the growing field of nonequilibrium molecular dynamics (NEMD), written in the form that will appeal to the general practitioner in molecular simulation. It introduces the theory f

This book provides a comprehensive account of the glowworm swarm optimization (GSO) algorithm, including details of the underlying ideas, theoretical foundations, algorithm development, various applic

This work is intended for advanced students, practitioners, and researchers in information security and digital forensics. The book describes the latest technologies for digital watermarking and p

The 21st Century Junior Library Women Innovators series highlights the contributions of women to STEM fields. Ada Lovelace and Computer Algorithms examines the life of this important woman and her con

Sparseness and heterogeneity of data are major challenges in the field of food science. Evolutionary algorithms can be effectively used to tackle these issues: in this book, we highlight some promisin

This book offers readers a thorough and rigorous introduction to nonlinear model predictive control (NMPC) for discrete-time and sampled-data systems. NMPC schemes with and without stabilizing termina

This book focuses on grammatical inference, presenting classic and modern methods of grammatical inference from the perspective of practitioners. To do so, it employs the Python programming language t

This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functio

This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot b

Clinical management algorithms for common and unusual obstetric problems have been developed to help guide practitioners to the best treatment options for patients. In this quick-reference guide, clea

This book presents advances and innovations in grouping genetic algorithms, enriched with new and unique heuristic optimization techniques. These algorithms are specially designed for solving industri

This comprehensive text features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. It covers the major areas of graph theory, including discrete optimiz

Data mining is a branch of computer science. It has a wide scope as it integrates principles from diverse fields such as artificial intelligence, statistics, etc. It uses sophisticated algorithms and

Fa-Long Luo, Ph.D., IEEE Fellow: Element CXI and Anyka, Inc., California, USA Charlie (Jianzhong) Zhang, Ph.D., IEEE Fellow: Samsung Research America, USA A comprehensive and invaluable guide to 5G te

This book lays out a path leading from the linguistic and cognitive basics, to classical rule-based and machine learning algorithms, to today’s state-of-the-art approaches, which use advanced empirica

This reference and handbook describes theory, algorithms and applications of the Global Positioning System (GPS/Glonass/Galileo/Compass). It is primarily based on source-code descriptions of the KSGso

Machine learning, one of the top emerging sciences, has an extremely broad range of applications. However, many books on the subject provide only a theoretical approach, making it difficult for a newc

A new, intuitive approach to machine learning, covering fundamental concepts and real-world applications, with practical MATLAB-based exercises.

This book analyzes the basic techniques involved in providing efficient numerical solutions to problems in science and engineering and focuses on the development of numerical algorithms and detailed a

Problem solving is an essential part of every scientific discipline. It has two components: (1) problem identification and formulation, and (2) the solution to the formulated problem. One can solve a

The high demand in science and engineering communities requires more efficient and intelligent solutions to complex optimization problems dealing with a wide variety of real-world problems. This book

Thisbook offers a comprehensive introduction to polymer rheology with a focus onthe viscoelastic characterization of polymeric materials. It contains variousnumerical algorithms for the processing of

The new trend in medicine is to minimize the hospitalization of patients while providing them with quality care and timely treatments. A possible solution to reduce the healthcare costs while keeping

This dynamic reference work provides solutions to vital algorithmic problems for scholars, researchers, practitioners, teachers and students in fields such as computer science, mathematics, statistics

This new edition provides an up-to-date coverage of important theoretical models in the scheduling literature as well as significant scheduling problems that occur in the rea