Informationsteori

This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solutions when others may fail, such as in cases of evolution equations with nonautonomous operators, with low regular data, or with singular diffusion coefficients. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation. This procedure simplifies the proof of the existence of minimizers and, in particular, the determination of the first-order conditions of optimality. The dual variational formulation is illustrated in the text with specific diffusion equations that have general nonlinearities provided by potentials having various stronger or weaker properties. These equations can represent mathematical modelsto various real-world physical processes. Inverse problems and optimal control problems are also considered, as this technique is useful in their treatment as well.

This book constitutes the refereed proceedings of the 25th International Conference, ICISC 2022, held in Seoul, South Korea, during November 30¿December 2, 2022. The 24 full papers included in this book were carefully reviewed and selected from 69 submissions. They were organized in topical sections as follows: ¿Public Key Encryption with Hierarchical Authorized Keyword Search, Implicit Key-stretching Security of Encryption Schemes.

This book constitutes the proceedings of the 10th International Workshop on Code-Based Cryptography, CBCrypto 2022, which was held during May 29-30, 2022 in Trondheim, Norway.The 8 papers presented in this volume were carefully reviewed and selected from 23 submissions. These contributions span all aspects of code-based cryptography, from design to software and hardware implementations, works about recent NIST PQC standardization candidates, side channel analysis, and improved decoding techniques.

This book constitutes the refereed proceedings of the 26th European Conference on Genetic Programming, EuroGP 2023, held as part of EvoStar 2023, in Brno, Czech Republic, during April 12¿14, 2023, and co-located with the EvoStar events, EvoCOP, EvoMUSART, and EvoApplications. The 14 revised full papers and 8 short papers presented in this book were carefully reviewed and selected from 38 submissions. The wide range of topics in this volume reflects the current state of research in the field. The collection of papers cover topics including developing new variants of GP algorithms for both optimization and machine learning problems as well as exploring GP to address complex real-world problems.

¿This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021.The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines.The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.

This volume comprises papers from the 18th Conference on Systems Engineering Research (CSER). The theme of this volume, "e;Recent Trends and Advances in Model-Based Systems Engineering,"e; reflects the fact that systems engineering is undergoing a transformation motivated by mission and system complexity and enabled by technological advances such as model-based systems engineering, digital engineering, and the convergence of systems engineering with other disciplines. This conference is focused on exploring recent trends and advances in model-based systems engineering (MBSE) and the synergy of MBSE with simulation technology and digital engineering. Contributors have submitted papers on MBSE methods, modeling approaches, integration of digital engineering with MBSE, standards, modeling languages, ontologies and metamodels, and economics analysis of MBSE to respond to the challenges posed by 21st century systems. What distinguishes this volume are the latest advances in MBSE research, the convergence of MBSE with digital engineering, and recent advances in applied research in MBSE, including growing convergence with systems science and decision science. This volume is appropriate as a reference text in graduate engineering courses in Model-Based Systems Engineering.

This monograph provides a state-of-the-art treatment of learning and robust control in quantum technology. It presents a systematic investigation of control design and algorithm realisation for several classes of quantum systems using control-theoretic tools and machine-learning methods. The approaches rely heavily on examples and the authors cover:sliding mode control of quantum systems;control and classification of inhomogeneous quantum ensembles using sampling-based learning control;robust and optimal control design using machine-learning methods;robust stability of quantum systems; and H¿ and fault-tolerant control of quantum systems. Both theoretical algorithm design and potential practical applications are considered. Methods for enhancing robustness of performance are developed in the context of quantum state preparation, quantum gate construction, and ultrafast control of molecules.Researchers and graduates studying systems and control theory, quantum control, and quantum engineering, especially from backgrounds in electrical engineering, applied mathematics and quantum information will find Learning and Robust Control in Quantum Technology to be a valuable reference for the investigation of learning and robust control of quantum systems. The material contained in this book will also interest chemists and physicists working on chemical physics, quantum optics, and quantum information technology.

This book is dedicated to the analysis and modelling of fractional behaviours that mainly result from physical stochastic phenomena (diffusion, adsorption or aggregation, etc.) of a population (ions, molecules, people, etc.) in a constrained environment and that can be found in numerous areas. It breaks with the usual approaches based on fractional models since it proposes to use unusual models which have the advantage of overcoming some of the limitations of fractional models.This book is dedicated to postgraduated students and to researchers in the field or those who wish to learn with a fresh perspective. After a review of fractional models and their limitations, it proposes and demonstrates the interest of four other modelling tools to capture fractional behaviours: new kernels in integral operators, Volterra equations, nonlinear models and partial differential equations with spatially variable coefficients. Several applications on real data and devices illustrate their efficiency.

This volume constitutes the revised selected papers from 4 workshops:Workshop on Adaptive Service-oriented and Cloud Applications (ASOCA 2022), 3rd International Workshop on AI-enabled Process Automation (AI-PA 2022), 3rd International Workshop on Architectures for Future Mobile Computing and Internet of Things (FMCIoT 2022), and 18th International Workshop on Engineering Service-Oriented Applications and Cloud Services (WESOACS 2022) held in conjunction with the 20th International Conference on Service-Oriented Computing, ICSOC 2022. The conference was held in Sevilla, Spain, in November/December 2022.

This book constitutes the refereed proceedings of the 12th International Development Informatics Association Conference, IDIA 2022, held in Mbombela, South Africa, in November 2022. The 20 revised full papers presented in this volume were carefully reviewed and selected from 61 submissions. The papers are organized in topical sections on¿ theories and practices in digital-for-development ecosystems; emerging technologies for transformation, inclusion and sustainable development; privacy and security in digital-for-development ecosystems; human-computer interaction (HCI) for digital inclusion; artificial intelligence (AI) for good.

This book introduces modern safety management in rail transport, focusing on the challenges resulting from the digital economy. It details how the cybersecurity of railway technical systems and risk can be managed. The rail transport sector is increased integrated into the digital economy. Ensuing the safety of technical systems and managing the rail system as a whole are key challenges for rail transport designers, managers, users and other stakeholders. Developing of rail transport based on the interoperability of different systems requires both searching for modern solutions and ensuring a high level of standardization of processes. In the context of the widespread digitalization of railway systems, new hazards arise that can lead to undesirable events. This book examines these issues. The book will be of interest to rail professionals, and researchers into transport systems and reliability.

This book provides an introduction to information theory, focussing on Shannon¿s three foundational theorems of 1948¿1949. Shannon¿s first two theorems, based on the notion of entropy in probability theory, specify the extent to which a message can be compressed for fast transmission and how to erase errors associated with poor transmission. The third theorem, using Fourier theory, ensures that a signal can be reconstructed from a sufficiently fine sampling of it. These three theorems constitute the roadmap of the book. The first chapter studies the entropy of a discrete random variable and related notions. The second chapter, on compression and error correcting, introduces the concept of coding, proves the existence of optimal codes and good codes (Shannon's first theorem), and shows how information can be transmitted in the presence of noise (Shannon's second theorem). The third chapter proves the sampling theorem (Shannon's third theorem) and looks at its connections with other results, such as the Poisson summation formula. Finally, there is a discussion of the uncertainty principle in information theory.Featuring a good supply of exercises (with solutions), and an introductory chapter covering the prerequisites, this text stems out lectures given to mathematics/computer science students at the beginning graduate level.

This book is aimed to undergraduate STEM majors and to researchers using ordinary differential equations. It covers a wide range of STEM-oriented differential equation problems that can be solved using computational power series methods. Many examples are illustrated with figures and each chapter ends with discovery/research questions most of which are accessible to undergraduate students, and almost all of which may be extended to graduate level research. Methodologies implemented may also be useful for researchers to solve their differential equations analytically or numerically. The textbook can be used as supplementary for undergraduate coursework, graduate research, and for independent study.

This book presents a novel design framework for the development of Digital Twin (DT) models for process- and motion-control applications. It is based on system-data acquisition using cutting-edge computing technologies, modelling of physical-system behavior through detailed simultaneous simulation of different aspects of the system, and optimal dynamic behavior-matching of the process. The design framework is enhanced with real-time data analytics to improve the performance of the DT¿s behavior-matching with the real system or physical twin.The methods of creating a DT detailed in Digital-Twin-Enabled Smart Control Engineering make possible the study of a system for real-time controller tuning and fault detection. They also facilitate life-cycle analysis for multiple critical and dangerous conditions that cannot be explored in the corresponding real system or physical twin. The authors show how a DT can be exploited to enable self-optimizing capabilitiesin feedback control systems.The DT framework and the control-performance assessment, fault diagnosis and prognosis, remaining-useful-life analysis, and self-optimizing control abilities it allows are validated with both process- and motion-control systems and their DTs. Supporting MATLAB-based material for a case study and an expanded introduction to the basic elements of DTs can be accessed on an associated website. This book helps university researchers from many areas of engineering to develop new tools for control design and reliability and life-cycle assessment and helps practicing engineers working with robotic, manufacturing and processing, and mechatronic systems to maintain and develop the mechanical tools they use.

This book addresses the problem of multi-agent systems, considering that it can be interpreted as a generalized multi-synchronization problem. From manufacturing tasks, through encryption and communication algorithms, to high-precision experiments, the simultaneous cooperation between multiple systems or agents is essential to successfully carrying out different modern activities, both in academy and industry. For example, the coordination of multiple assembler robots in manufacturing lines. These agents need to synchronize.The first two chapters of the book describe the synchronization of dynamical systems, paying special attention to the synchronization of non-identical systems. Following, the third chapter presents an interesting application of the synchronization phenomenon for state estimation. Subsequently, the authors fully address the multi-agent problem interpreted as multi-synchronization. The final chapters introduce the reader to a more complex problem, the synchronization of systems governed by partial differential equations, both of integer and fractional order.The book aimed at graduates, postgraduate students and researchers closely related to the area of automatic control. Previous knowledge of linear algebra, classical and fractional calculus is requested, as well as some fundamental notions of graph theory.

This book presents solutions to problems that are total and based on thinking about how and why humans have organized themselves. It discusses how to avoid the now well-documented Holocene Extinction, propelled by climate change, wars, resource depletion, desertification, degrading knowledge quality, famine, and deterioration of societies overall. It explains why we cannot respond effectively with hedonistic, incompetent, corrupt, and anarchistic "liberal democracy" and why neither personality cult regimes can suffice. The book offers a model of an organic social structure embodying a collective consciousness of communitarianism and Platonic-style ethos. Putting an emphasis on the re-establishment of Classical Greek virtue, it offers solutions to resolve identity politics, alienation, and meritocracy. While doing so, the author opposes the "everyone is equal" ideology to govern the section of policymakers, instead circumscribing "rights" in terms ofresponsibilities, prioritizing education and training to carry forth the ethos of valuing truth above materialism, and developing Durkheim's social brain via a new discipline, "sociointelligence". The book goes on to explain how underpinning these elements is a comprehensive elucidation of often misunderstood words like "liberty", "freedom", "authoritarianism", and "democracy". All of these areas are arranged and combined in uniquely describing the organic society the author deems necessary to avoid human extinction. As a result, the book presents a ¿new organicity¿, where the emerging transhumanism seeks to transcend hydrocarbon-based life with humanly-constructed life.This book will appeal to students, researchers, and scholars of political science, philosophy, and the social sciences interested in a better understanding of complexity, democratic theory, Holocene Extinction, organic thinking, and meritocratic societies.

Facilitate coding in generating geometric motives with a special focus on analyzing their geometric formulations. This book aims to teach analytical coding skills by combining arts and mathematics. Geometric patterns are quintessentially important for understanding today¿s media arts and their relationship with mathematics. With the main emphasis on this, author Selçuk Artut proposes a certain workflow to mathematically analyze a geometric pattern and use creative coding skills to render it on a computer screen. When done, you'll understand the basics of coding and expand the provided structure to cover issues of creative coding in particular. This book will also present a workflow to geometrically analyze and build patterns with detailed examples.What You Will LearnGain insight into the field of geometric patterns and its cultural valueReview dialectic creativity thattakes place between humans and computersUse code as a creative tool to use human-computer interaction to develop one's creative skillsWho This Book Is ForAny person who has an interest in using coding as a creative tool. University students from Arts, Design, Architecture, and Computer Science departments. Artists and designers who are eager to implement creative coding in their artistic production.

In the present book, the starting line is defined by a morphogenetic perspective on human communication and culture. The focus is on visual communication, music, religion (myth), and language, i.e., on the ¿symbolic forms¿ at the heart of human cultures (Ernst Cassirer). The term ¿morphogenesis¿ has more precisely the meaning given by René Thom (1923-2002) in his book ¿Morphogenesis and Structural Stability¿ (1972) and the notions of ¿self-organization¿ and cooperation of subsystems in the ¿Synergetics¿ of Hermann Haken (1927- ). The naturalization of communication and cultural phenomena is the favored strategy, but the major results of the involved disciplines (art history, music theory, religious science, and linguistics) are respected.Visual art from the Paleolithic to modernity stands for visual communication. The present book focuses on studies of classical painting and sculpture (e.g., Leonardo da Vinci, William Turner, and Henry Moore) and modern art (e.g., Jackson Pollock and Joseph Beuys). Musical morphogenesis embraces classical music (from J. S. Bach to Arnold Schönberg) and political songwriting (Bob Dylan, Leonhard Cohen). The myths of pre-literary societies show the effects of self-organization in the re-assembly (bricolage) of traditions. Classical polytheistic and monotheistic religions demonstrate the unfolding of basic germs (religious attractors) and their reduction in periods of crisis, the self-organization of complex religious networks, and rationalized macro-structures (in theologies). Significant tendencies are analyzed in the case of Buddhism and Christianism. Eventually, a holistic view of symbolic communication and human culture emerges based on state-of-the-art in evolutionary biology, cognitive science, linguistics, and semiotics (philosophy of symbolic forms).