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Complexities 1
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Book Synopsis An Introduction to Kolmogorov Complexity and Its Applications by : Ming Li
Download or read book An Introduction to Kolmogorov Complexity and Its Applications written by Ming Li and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions of objects. The length of such a description (or the number of bits of information in it) is its Kolmogorov complexity. We treat all aspects of the elementary mathematical theory of Kolmogorov complexity. This body of knowledge may be called algo rithmic complexity theory. The theory of Martin-Lof tests for random ness of finite objects and infinite sequences is inextricably intertwined with the theory of Kolmogorov complexity and is completely treated. We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book. We also investigate the recursion theoretic properties of Kolmogorov complexity (relations with Godel's incompleteness result), and the Kolmogorov complexity version of infor mation theory, which we may call "algorithmic information theory" or "absolute information theory. " The treatment of algorithmic probability theory in Chapter 4 presup poses Sections 1. 6, 1. 11. 2, and Chapter 3 (at least Sections 3. 1 through 3. 4).
Book Synopsis Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities by : Guoliang Wei
Download or read book Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities written by Guoliang Wei and published by CRC Press. This book was released on 2016-09-15 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities presents a series of control and filtering approaches for stochastic systems with traditional and emerging engineering-oriented complexities. The book begins with an overview of the relevant background, motivation, and research problems, and then: Discusses the robust stability and stabilization problems for a class of stochastic time-delay interval systems with nonlinear disturbances Investigates the robust stabilization and H∞ control problems for a class of stochastic time-delay uncertain systems with Markovian switching and nonlinear disturbances Explores the H∞ state estimator and H∞ output feedback controller design issues for stochastic time-delay systems with nonlinear disturbances, sensor nonlinearities, and Markovian jumping parameters Analyzes the H∞ performance for a general class of nonlinear stochastic systems with time delays, where the addressed systems are described by general stochastic functional differential equations Studies the filtering problem for a class of discrete-time stochastic nonlinear time-delay systems with missing measurement and stochastic disturbances Uses gain-scheduling techniques to tackle the probability-dependent control and filtering problems for time-varying nonlinear systems with incomplete information Evaluates the filtering problem for a class of discrete-time stochastic nonlinear networked control systems with multiple random communication delays and random packet losses Examines the filtering problem for a class of nonlinear genetic regulatory networks with state-dependent stochastic disturbances and state delays Considers the H∞ state estimation problem for a class of discrete-time complex networks with probabilistic missing measurements and randomly occurring coupling delays Addresses the H∞ synchronization control problem for a class of dynamical networks with randomly varying nonlinearities Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities describes novel methodologies that can be applied extensively in lab simulations, field experiments, and real-world engineering practices. Thus, this text provides a valuable reference for researchers and professionals in the signal processing and control engineering communities.
Book Synopsis Structural Information and Communication Complexity by : Giuseppe Prencipe
Download or read book Structural Information and Communication Complexity written by Giuseppe Prencipe and published by Springer. This book was released on 2007-07-02 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2007, held in Castiglioncello, Italy in June 2007. The 23 revised full papers and four invited talks cover graph exploration, fault tolerance, distributed algorithms and data structures, location problems, wireless networks, fault tolerance, as well as parallel computing and selfish routing.
Book Synopsis Abstract Recursion and Intrinsic Complexity by : Yiannis N. Moschovakis
Download or read book Abstract Recursion and Intrinsic Complexity written by Yiannis N. Moschovakis and published by Cambridge University Press. This book was released on 2018-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and applies a framework for studying the complexity of algorithms. It is aimed at logicians, computer scientists, mathematicians and philosophers interested in the theory of computation and its foundations, and it is written at a level suitable for non-specialists. Part I provides an accessible introduction to abstract recursion theory and its connection with computability and complexity. This part is suitable for use as a textbook for an advanced undergraduate or graduate course: all the necessary elementary facts from logic, recursion theory, arithmetic and algebra are included. Part II develops and applies an extension of the homomorphism method due jointly to the author and Lou van den Dries for deriving lower complexity bounds for problems in number theory and algebra which (provably or plausibly) restrict all elementary algorithms from specified primitives. The book includes over 250 problems, from simple checks of the reader's understanding, to current open problems.
Book Synopsis Complexity and Randomness in Group Theory by : Frédérique Bassino
Download or read book Complexity and Randomness in Group Theory written by Frédérique Bassino and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.
Book Synopsis The Century Dictionary and Cyclopedia: The Century dictionary ... prepared under the superintendence of William Dwight Whitney ... rev. & enl. under the superintendence of Benjamin E. Smith by :
Download or read book The Century Dictionary and Cyclopedia: The Century dictionary ... prepared under the superintendence of William Dwight Whitney ... rev. & enl. under the superintendence of Benjamin E. Smith written by and published by . This book was released on 1911 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complexities in Colorectal Surgery by : Scott R. Steele
Download or read book Complexities in Colorectal Surgery written by Scott R. Steele and published by Springer Science & Business Media. This book was released on 2014-02-03 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexities in Colorectal Surgery: Decision-Making and Management provides a unique, modern, practical guide that covers the strategic evaluation, specific approaches, and detailed management techniques utilized by expert Colorectal Surgeons caring for patients with complex problems—whether they result from underlying colorectal disease or from complications arising from previous surgical therapy. The text is formatted as both a “how-to” manual as well as an algorithm-based guide allowing the reader to understand the thought process behind the proposed treatment strategies. By making use of evidence-based recommendations, each chapter will include not only diagnostic and therapeutic guidelines, but also a narrative by the author on his/her operative technical details and perioperative “tips and tricks” that they utilize in the management of these complex surgical challenges. This test includes chapters on the assessment of risk and nutritional intervention methods utilized to minimize perioperative complications. In addition, sections on medical and surgical therapies for abdominal, pelvic and anorectal disease are incorporated. Moreover, the technical challenges of managing complications resulting from the original or subsequent operations is addressed. The underlying focus throughout the text is to provide pragmatic and understandable solutions that can be readily implemented by surgeons of varying experience to successfully treat complex colorectal problems. The text also goes beyond the technical aspects of Colorectal Surgery and includes special sections highlighting the essence of a surgeon. These include chapters describing the importance of the first encounter, building patient rapport, and demonstrating confidence and competence while showing humility and avoiding arrogance. Additionally, aspects involving the medical-legal, ethical, and economic challenges confronting surgeons are covered.
Book Synopsis Descriptional Complexity of Formal Systems by : Jürgensen
Download or read book Descriptional Complexity of Formal Systems written by Jürgensen and published by Springer. This book was released on 2013-06-14 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Workshop of Descriptional Complexity of Formal Systems, DCFS 2013, held in London, ON, Canada, in July 2013. The 22 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 46 submissions. The topics covered are automata, grammars, languages and other formal systems; various modes of operations and complexity measures; co-operating systems; succinctness of description of objects, state-explosion-like phenomena; circuit complexity of Boolean functions and related measures; size complexity and structural complexity of formal systems; trade-offs between computational models and mode of operation; applications of formal systems; for instance in software and hardware testing, in dialogue systems, in systems modeling or in modeling natural languages; and their complexity constraints; size or structural complexity of formal systems for modeling natural languages; complexity aspects related to the combinatorics of words; descriptional complexity in resource-bounded or structure-bounded environments; structural complexity as related to descriptional complexity; frontiers between decidability and undecidability; universality and reversibility; nature-motivated (bio-inspired) architectures and unconventional models of computing; Kolmogorov-Chaitin complexity, algorithmic information.
Book Synopsis Computational Complexity by : Sanjeev Arora
Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Book Synopsis Algorithms and Complexity by : Bozzano G Luisa
Download or read book Algorithms and Complexity written by Bozzano G Luisa and published by Elsevier. This book was released on 1990-09-12 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.
Book Synopsis Stochastic Complexity In Statistical Inquiry by : Jorma Rissanen
Download or read book Stochastic Complexity In Statistical Inquiry written by Jorma Rissanen and published by World Scientific. This book was released on 1998-10-07 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes how model selection and statistical inference can be founded on the shortest code length for the observed data, called the stochastic complexity. This generalization of the algorithmic complexity not only offers an objective view of statistics, where no prejudiced assumptions of 'true' data generating distributions are needed, but it also in one stroke leads to calculable expressions in a range of situations of practical interest and links very closely with mainstream statistical theory. The search for the smallest stochastic complexity extends the classical maximum likelihood technique to a new global one, in which models can be compared regardless of their numbers of parameters. The result is a natural and far reaching extension of the traditional theory of estimation, where the Fisher information is replaced by the stochastic complexity and the Cramer-Rao inequality by an extension of the Shannon-Kullback inequality. Ideas are illustrated with applications from parametric and non-parametric regression, density and spectrum estimation, time series, hypothesis testing, contingency tables, and data compression.
Book Synopsis Handbook on the Economic Complexity of Technological Change by : Cristiano Antonelli
Download or read book Handbook on the Economic Complexity of Technological Change written by Cristiano Antonelli and published by Edward Elgar Publishing. This book was released on 2011-01-01 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive and innovative Handbook applies the tools of the economics of complexity to analyse the causes and effects of technological and structural change. It grafts the intuitions of the economics of complexity into the tradition of analysis based upon the Schumpeterian and Marshallian legacies. The Handbook elaborates the notion of innovation as an emerging property of the organized complexity of an economic system, and provides the basic tools to understand the recursive dynamics between the emergence of innovation and the unfolding of organized complexity. In so doing, it highlights the role of organizational thinking in explaining the introduction of innovations and the dynamics of structural change. With a new methodological approach to the economics of technological change, this wide-ranging volume will become the standard reference for postgraduates, academics and practitioners in the fields of evolutionary economics, complexity economics and the economics of innovation.
Book Synopsis Agile Project Management and Complexity by : Czesław Mesjasz
Download or read book Agile Project Management and Complexity written by Czesław Mesjasz and published by Routledge. This book was released on 2022-04-06 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph presents an inter-disciplinary study of the impact, and current status, of applications of complexity-related concepts in the early stages of development of Agile Project Management (APM). The results serve as an introduction for exploring more profound relations between complexity-related ideas and APM in the future. The increasing complexity of software projects and their environment in the 1990s constituted the main determinants of the development of the family of methodological frameworks called Agile Project Management. Development of APM has been shaped by a broadly defined area of research called complexity science or complexity theory based on complex adaptive systems (CAS) and on their characteristics: Complexity, chaos, the edge of chaos, emerging properties, non-linearity, self-organization, etc. In the 21st century, due to the expansion of Agile beyond software development, the challenges deriving from the complexity of projects and the environment are even more urgent or compelling. Such phenomena demand more profound inter- and multi-disciplinary studies. This book examines the impact of applications of complexity-related ideas deriving from intuitive complexity and from complexity science in the early stages of development of the Agile methodological frameworks in project management and considers the current status of those applications. It questions the usefulness of those applications for the practice and theory of APM, and then proposes a conceptual framework for further theoretical studies and several ways of improvement and refinement of the Agile Project Management necessary to deal with broadly defined complexity in project management. Requiring a medium-level knowledge of complexity studies and knowledge of project management, this book is written for the research community studying the links between the various methodological frameworks included in APM and complexity-related ideas. It will also be interesting for studies of the impact of complexity on modern management, and for master’s students on IT and management courses.
Book Synopsis Structural Information and Communication Complexity by : Magnús M. Halldórsson
Download or read book Structural Information and Communication Complexity written by Magnús M. Halldórsson and published by Springer. This book was released on 2014-07-16 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 21st International Colloquium on Structural Information and Communication Complexity, SIROCCO 2014, held in Takayama, Japan, in July 2014. The 24 full papers presented together with 5 invited talks were carefully reviewed and selected from 51 submissions. The focus of the colloquium is on following subjects Shared Memory and Multiparty Communication, Network Optimization, CONGEST Algorithms and Lower Bounds, Wireless networks, Aggregation and Creation Games in Networks, Patrolling and Barrier Coverage, Exploration, Rendevous and Mobile Agents.
Book Synopsis Complexity and Real Computation by : Lenore Blum
Download or read book Complexity and Real Computation written by Lenore Blum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NP-completeness theorems of Cook-Karp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing.
Book Synopsis Descriptive Complexity by : Neil Immerman
Download or read book Descriptive Complexity written by Neil Immerman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: By virtue of the close relationship between logic and relational databases, it turns out that complexity has important applications to databases such as analyzing the parallel time needed to compute a query, and the analysis of nondeterministic classes. This book is a relatively self-contained introduction to the subject, which includes the necessary background material, as well as numerous examples and exercises.
Book Synopsis Evaluation Complexity of Algorithms for Nonconvex Optimization by : Coralia Cartis
Download or read book Evaluation Complexity of Algorithms for Nonconvex Optimization written by Coralia Cartis and published by SIAM. This book was released on 2022-07-06 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: A popular way to assess the “effort” needed to solve a problem is to count how many evaluations of the problem functions (and their derivatives) are required. In many cases, this is often the dominating computational cost. Given an optimization problem satisfying reasonable assumptions—and given access to problem-function values and derivatives of various degrees—how many evaluations might be required to approximately solve the problem? Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation, and Perspectives addresses this question for nonconvex optimization problems, those that may have local minimizers and appear most often in practice. This is the first book on complexity to cover topics such as composite and constrained optimization, derivative-free optimization, subproblem solution, and optimal (lower and sharpness) bounds for nonconvex problems. It is also the first to address the disadvantages of traditional optimality measures and propose useful surrogates leading to algorithms that compute approximate high-order critical points, and to compare traditional and new methods, highlighting the advantages of the latter from a complexity point of view. This is the go-to book for those interested in solving nonconvex optimization problems. It is suitable for advanced undergraduate and graduate students in courses on advanced numerical analysis, data science, numerical optimization, and approximation theory.
