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Author: Ilias Kotsireas
Publisher: World Scientific
ISBN: 9812778853
Category : Computers
Languages : en
Pages : 220
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Book Description
Written by world-renowned experts, the book is a collection of tutorial presentations and research papers catering to the latest advances in symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. The papers were presented at a workshop celebrating the 60th birthday of Sergei Abramov (Russia), whose highly influential contributions to symbolic methods are adopted in many leading computer algebra systems.
Author: Ilias Kotsireas
Publisher: World Scientific
ISBN: 9812778853
Category : Computers
Languages : en
Pages : 220
Get Book
Book Description
Written by world-renowned experts, the book is a collection of tutorial presentations and research papers catering to the latest advances in symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. The papers were presented at a workshop celebrating the 60th birthday of Sergei Abramov (Russia), whose highly influential contributions to symbolic methods are adopted in many leading computer algebra systems.
Author: Thomas Fahringer
Publisher: Springer Science & Business Media
ISBN: 3540011854
Category : Computers
Languages : en
Pages : 135
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Book Description
This book presents novel symbolic control and data flow techniques as well as symbolic techniques and algorithms for program analysis and program optimization. Program contexts, defining a new symbolic description of program semantics for control and data flow analysis, are at the center of the techniques and methods introduced. The authors develop solutions for a number of problems encountered in program analysis by using program contexts. The solutions proposed are efficient, versatile, unified, and more general than most existing methods. The authors' symbolic analysis framework is implemented as a prototype as part of the Vienna High Performance Compiler.
Author: Alfonso Miola
Publisher: Springer Science & Business Media
ISBN: 3709165318
Category : Computers
Languages : en
Pages : 270
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Book Description
New methodological aspects related to design and implementation of symbolic computation systems are considered in this volume aiming at integrating such aspects into a homogeneous software environment for scientific computation. The proposed methodology is based on a combination of different techniques: algebraic specification through modular approach and completion algorithms, approximated and exact algebraic computing methods, object-oriented programming paradigm, automated theorem proving through methods à la Hilbert and methods of natural deduction. In particular the proposed treatment of mathematical objects, via techniques for method abstraction, structures classification, and exact representation, the programming methodology which supports the design and implementation issues, and reasoning capabilities supported by the whole framework are described.
Author:
Publisher:
ISBN: 9814476692
Category :
Languages : en
Pages :
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Book Description
Author: Ilias Kotsireas
Publisher: World Scientific
ISBN: 9812702008
Category : Computers
Languages : en
Pages : 220
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Book Description
Written by world-renowned experts, the book is a collection of tutorial presentations and research papers catering to the latest advances in symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. The papers were presented at a workshop celebrating the 60th birthday of Sergei Abramov (Russia), whose highly influential contributions to symbolic methods are adopted in many leading computer algebra systems.
Author: M. Hazewinkel
Publisher: Elsevier
ISBN: 0080569412
Category : Mathematics
Languages : en
Pages : 577
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Book Description
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes
Author: Rick Riolo
Publisher: Springer Science & Business Media
ISBN: 1461468469
Category : Computers
Languages : en
Pages : 260
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Book Description
These contributions, written by the foremost international researchers and practitioners of Genetic Programming (GP), explore the synergy between theoretical and empirical results on real-world problems, producing a comprehensive view of the state of the art in GP. Topics in this volume include: evolutionary constraints, relaxation of selection mechanisms, diversity preservation strategies, flexing fitness evaluation, evolution in dynamic environments, multi-objective and multi-modal selection, foundations of evolvability, evolvable and adaptive evolutionary operators, foundation of injecting expert knowledge in evolutionary search, analysis of problem difficulty and required GP algorithm complexity, foundations in running GP on the cloud – communication, cooperation, flexible implementation, and ensemble methods. Additional focal points for GP symbolic regression are: (1) The need to guarantee convergence to solutions in the function discovery mode; (2) Issues on model validation; (3) The need for model analysis workflows for insight generation based on generated GP solutions – model exploration, visualization, variable selection, dimensionality analysis; (4) Issues in combining different types of data. Readers will discover large-scale, real-world applications of GP to a variety of problem domains via in-depth presentations of the latest and most significant results.
Author: Dongming Wang
Publisher: Springer Science & Business Media
ISBN: 3764379847
Category : Mathematics
Languages : en
Pages : 391
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Book Description
The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.
Author: SWARAT CHAUDHURI; KEVIN ELLIS; OLEKSANDR POLOZOV
Publisher:
ISBN: 9781680839357
Category : Computer programming
Languages : en
Pages :
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Book Description
Neurosymbolic programming is an emerging area that bridges the areas of deep learning and program synthesis. As in classical machine learning, the goal is to learn functions from data. However, these functions are represented as programs that can use neural modules in addition to symbolic primitives and are induced using a combination of symbolic search and gradient-based optimization. Neurosymbolic programming can offer multiple advantages over end-to-end deep learning. Programs can sometimes naturally represent long-horizon, procedural tasks that are difficult to perform using deep networks. Neurosymbolic representations are also, commonly, easier to interpret and formally verify than neural networks. The restrictions of a programming language can serve as a form of regularization and lead to more generalizable and data-efficient learning. Compositional programming abstractions can also be a natural way of reusing learned modules across learning tasks. In this monograph, the authors illustrate these potential benefits with concrete examples from recent work on neurosymbolic programming. They also categorize the main ways in which symbolic and neural learning techniques come together in this area and conclude with a discussion of the open technical challenges in the field. The comprehensive review of neurosymbolic programming introduces the reader to the topic and provides an insightful treatise on an increasingly important topic at the intersection of programming languages and machine learning. p learning or verification.
Author: Aboul-Ella Hassanien
Publisher: Springer
ISBN: 3540768270
Category : Computers
Languages : en
Pages : 538
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Book Description
In recent decades Multimedia processing has emerged as an important technology to generate content based on images, video, audio, graphics, and text. This book is a compilation of the latest trends and developments in the field of computational intelligence in multimedia processing. The edited book presents a large number of interesting applications to intelligent multimedia processing of various Computational Intelligence techniques including neural networks and fuzzy logic.
