Some Mathematical Models for Distance in Memory

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ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.:/5 (718 download)

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Book Synopsis Some Mathematical Models for Distance in Memory by : Jack L. Vevea

Download or read book Some Mathematical Models for Distance in Memory written by Jack L. Vevea and published by . This book was released on 1996 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease

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Publisher : Frontiers Media SA
ISBN 13 : 2889634612
Total Pages : 278 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease by : Gennady Bocharov

Download or read book Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease written by Gennady Bocharov and published by Frontiers Media SA. This book was released on 2020-02-24 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The immune system provides the host organism with defense mechanisms against invading pathogens and tumor development and it plays an active role in tissue and organ regeneration. Deviations from the normal physiological functioning of the immune system can lead to the development of diseases with various pathologies including autoimmune diseases and cancer. Modern research in immunology is characterized by an unprecedented level of detail that has progressed towards viewing the immune system as numerous components that function together as a whole network. Currently, we are facing significant difficulties in analyzing the data being generated from high-throughput technologies for understanding immune system dynamics and functions, a problem known as the ‘curse of dimensionality’. As the mainstream research in mathematical immunology is based on low-resolution models, a fundamental question is how complex the mathematical models should be? To respond to this challenging issue, we advocate a hypothesis-driven approach to formulate and apply available mathematical modelling technologies for understanding the complexity of the immune system. Moreover, pure empirical analyses of immune system behavior and the system’s response to external perturbations can only produce a static description of the individual components of the immune system and the interactions between them. Shifting our view of the immune system from a static schematic perception to a dynamic multi-level system is a daunting task. It requires the development of appropriate mathematical methodologies for the holistic and quantitative analysis of multi-level molecular and cellular networks. Their coordinated behavior is dynamically controlled via distributed feedback and feedforward mechanisms which altogether orchestrate immune system functions. The molecular regulatory loops inherent to the immune system that mediate cellular behaviors, e.g. exhaustion, suppression, activation and tuning, can be analyzed using mathematical categories such as multi-stability, switches, ultra-sensitivity, distributed system, graph dynamics, or hierarchical control. GB is supported by the Russian Science Foundation (grant 18-11-00171). AM is also supported by grants from the Spanish Ministry of Economy, Industry and Competitiveness and FEDER grant no. SAF2016-75505-R, the “María de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0370) and the Russian Science Foundation (grant 18-11-00171).

Mathematical Models for Memory and Learning

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ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Mathematical Models for Memory and Learning by : Stanford University. Institute for Mathematical Studies in the Social Sciences

Download or read book Mathematical Models for Memory and Learning written by Stanford University. Institute for Mathematical Studies in the Social Sciences and published by . This book was released on 1965 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A MATHEMATICAL MODEL FOR AN ASSOCIATIVE MEMORY.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis A MATHEMATICAL MODEL FOR AN ASSOCIATIVE MEMORY. by :

Download or read book A MATHEMATICAL MODEL FOR AN ASSOCIATIVE MEMORY. written by and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical model for an associative memory is proposed that uses associative addressing and distributed storage. Associative addressing is accomplished by mapping from a space with relatively few dimensions (input variables) to the vertices of a binary-valued hypercube embedded in a much higher dimensional space. The dimension of the image space is chosen to be sufficiently grent that a hyperplane can be passed through the origin such that the relative distances to the image points are the relative functional values that are to be stored. The distributed memory is achieved in the n-tuple representation of the hyperplane, since each element will in general be used in calculating the distance to many points (images), and hence in storing many functional values. A technique formulated for solving the large linear systems that arise in such a problem and a proof of the convergence of such a procedure are included. Unfortunately, the basic form of an associative memory imposes the restriction that only a single linear expression be available at any one time, and that further its relation to other expressions not be known. This generally imposes a iurther restriction that the linear expressions be randomly drawn from the linear system and returned. Typically these systems have many more variables than equations. Several examples of the behavior of the associative memory as simulated on a CDC 1604 computer and of the convergence properties of the algorithm proposed here to solve the associated linear systems are considered. (auth).

Modelling of Complex Signals in Nerves

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Publisher : Springer Nature
ISBN 13 : 3030750396
Total Pages : 186 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Modelling of Complex Signals in Nerves by : Jüri Engelbrecht

Download or read book Modelling of Complex Signals in Nerves written by Jüri Engelbrecht and published by Springer Nature. This book was released on 2021-05-11 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes fundamental physical principles, together with their mathematical formulations, for modelling the propagation of signals in nerve fibres. Above all, it focuses on the complex electro-mechano-thermal process that produces an ensemble of waves composed of several components, besides the action potential. These components include mechanical waves in the biomembrane and axoplasm, together with the temperature change. Pursuing a step-by-step approach, the content moves from physics and mathematics, to describing the physiological effects, and finally to modelling the coupling effects. The assumptions and hypotheses used for modelling, as well as selected helpful concepts from continuum mechanics, are systematically explained, and the modelling is illustrated using the outcomes of numerical simulation. The book is chiefly intended for researchers and graduate students, providing them with a detailed description of how to model the complex physiological processes in nerve fibres.

Naming Game

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Publisher : Springer
ISBN 13 : 3030052435
Total Pages : 165 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Naming Game by : Guanrong Chen

Download or read book Naming Game written by Guanrong Chen and published by Springer. This book was released on 2018-12-05 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a gradual introduction to the naming game, starting from the minimal naming game, where the agents have infinite memories (Chapter 2), before moving on to various new and advanced settings: the naming game with agents possessing finite-sized memories (Chapter 3); the naming game with group discussions (Chapter 4); the naming game with learning errors in communications (Chapter 5) ; the naming game on multi-community networks (Chapter 6) ; the naming game with multiple words or sentences (Chapter 7) ; and the naming game with multiple languages (Chapter 8). Presenting the authors’ own research findings and developments, the book provides a solid foundation for future advances. This self-study resource is intended for researchers, practitioners, graduate and undergraduate students in the fields of computer science, network science, linguistics, data engineering, statistical physics, social science and applied mathematics.

Spatial Analysis in Field Primatology

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Publisher : Cambridge University Press
ISBN 13 : 1107062306
Total Pages : 461 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Spatial Analysis in Field Primatology by : Francine L. Dolins

Download or read book Spatial Analysis in Field Primatology written by Francine L. Dolins and published by Cambridge University Press. This book was released on 2021-02-18 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: A primatologist's guide to using geographic information systems (GIS); from mapping and field accuracy, to tracking travel routes and the impact of logging.

Mathematical Modelling

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Publisher : American Mathematical Society
ISBN 13 : 1470469642
Total Pages : 256 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Modelling by : Hemen Dutta

Download or read book Mathematical Modelling written by Hemen Dutta and published by American Mathematical Society. This book was released on 2023-06-12 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of chapters that present several key principles and theories, as well as their potential uses in the development of mathematical models in areas like waves, thermodynamic, electromagnetics, fluid dynamics, and catastrophes. The techniques and methodologies used in this book, on the other hand, should have a long-term impact and be applicable to a wide range of different topics of study and research. Each chapter should also help readers in gaining a better knowledge of the underlying and connected concepts. The companion volume (Contemporary Mathematics, Volume 787) is devoted to theory and application.

Mathematical Modeling in the Environment

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Publisher : Cambridge University Press
ISBN 13 : 9780883857090
Total Pages : 324 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Mathematical Modeling in the Environment by : Charles R. Hadlock

Download or read book Mathematical Modeling in the Environment written by Charles R. Hadlock and published by Cambridge University Press. This book was released on 1998 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduces some of the most important and widespread environmental issues with the emphasis throughout on fundamental principles and concepts.

Dissertation Abstracts International

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ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1996 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Animal Cognition

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Publisher : Psychology Press
ISBN 13 : 1317782127
Total Pages : 384 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Animal Cognition by : Thomas R. Zentall

Download or read book Animal Cognition written by Thomas R. Zentall and published by Psychology Press. This book was released on 2013-12-02 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prepared as a tribute to Donald A. Riley, the essays that appear here are representative of a research area that has loosely been classified as animal cognition -- a categorization that reflects a functionalist philosophy that was prevalent in Riley's laboratory and that many of his students absorbed. According to this philosophy, it is acceptable to hypothesize that an animal might engage in complex processing of information, as long as one can operationalize evidence for such a process and the hypothesis can be presented in the context of testable predictions that can differentiate it from other mechanisms. The contributions to this volume represent the three most important areas of research in animal cognition -- stimulus representation, memory processes, and perceptual processes -- although current research has considerably blurred these distinctions.

Modeling Human and Organizational Behavior

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Publisher : National Academies Press
ISBN 13 : 0309523893
Total Pages : 433 pages
Book Rating : 4.3/5 (95 download)

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Book Synopsis Modeling Human and Organizational Behavior by : Panel on Modeling Human Behavior and Command Decision Making: Representations for Military Simulations

Download or read book Modeling Human and Organizational Behavior written by Panel on Modeling Human Behavior and Command Decision Making: Representations for Military Simulations and published by National Academies Press. This book was released on 1998-08-14 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulations are widely used in the military for training personnel, analyzing proposed equipment, and rehearsing missions, and these simulations need realistic models of human behavior. This book draws together a wide variety of theoretical and applied research in human behavior modeling that can be considered for use in those simulations. It covers behavior at the individual, unit, and command level. At the individual soldier level, the topics covered include attention, learning, memory, decisionmaking, perception, situation awareness, and planning. At the unit level, the focus is on command and control. The book provides short-, medium-, and long-term goals for research and development of more realistic models of human behavior.

Mathematical Modeling and Computational Tools

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Publisher : Springer Nature
ISBN 13 : 9811536155
Total Pages : 497 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mathematical Modeling and Computational Tools by : Somnath Bhattacharyya

Download or read book Mathematical Modeling and Computational Tools written by Somnath Bhattacharyya and published by Springer Nature. This book was released on 2020-04-20 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features original research papers presented at the International Conference on Computational and Applied Mathematics, held at the Indian Institute of Technology Kharagpur, India during November 23–25, 2018. This book covers various topics under applied mathematics, ranging from modeling of fluid flow, numerical techniques to physical problems, electrokinetic transport phenomenon, graph theory and optimization, stochastic modelling and machine learning. It introduces the mathematical modeling of complicated scientific problems, discusses micro- and nanoscale transport phenomena, recent development in sophisticated numerical algorithms with applications, and gives an in-depth analysis of complicated real-world problems. With contributions from internationally acclaimed academic researchers and experienced practitioners and covering interdisciplinary applications, this book is a valuable resource for researchers and students in fields of mathematics, statistics, engineering, and health care.

The Structure of Intelligence

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Publisher : Springer Science & Business Media
ISBN 13 : 146124336X
Total Pages : 232 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Structure of Intelligence by : Ben Goertzel

Download or read book The Structure of Intelligence written by Ben Goertzel and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 0. 0 Psychology versus Complex Systems Science Over the last century, psychology has become much less of an art and much more of a science. Philosophical speculation is out; data collection is in. In many ways this has been a very positive trend. Cognitive science (Mandler, 1985) has given us scientific analyses of a variety of intelligent behaviors: short-term memory, language processing, vision processing, etc. And thanks to molecular psychology (Franklin, 1985), we now have a rudimentary understanding of the chemical processes underlying personality and mental illness. However, there is a growing feeling-particularly among non-psychologists (see e. g. Sommerhoff, 1990) - that, with the new emphasis on data collection, something important has been lost. Very little attention is paid to the question of how it all fits together. The early psychologists, and the classical philosophers of mind, were concerned with the general nature of mentality as much as with the mechanisms underlying specific phenomena. But the new, scientific psychology has made disappointingly little progress toward the resolution of these more general questions. One way to deal with this complaint is to dismiss the questions themselves. After all, one might argue, a scientific psychology cannot be expected to deal with fuzzy philosophical questions that probably have little empirical signifi cance. It is interesting that behaviorists and cognitive scientists tend to be in agreement regarding the question of the overall structure of the mind.

Parallel Models of Associative Memory

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ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Parallel Models of Associative Memory by : Geoffrey E. Hinton

Download or read book Parallel Models of Associative Memory written by Geoffrey E. Hinton and published by . This book was released on 1981 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Science Abstracts

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ISBN 13 :
Total Pages : 1152 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1963 with total page 1152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Universals of Language

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Publisher : Springer Nature
ISBN 13 : 3030593770
Total Pages : 230 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Statistical Universals of Language by : Kumiko Tanaka-Ishii

Download or read book Statistical Universals of Language written by Kumiko Tanaka-Ishii and published by Springer Nature. This book was released on 2021-04-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the universal mathematical properties underlying big language data and possible reasons why such properties exist, revealing how we may be unconsciously mathematical in our language use. These properties are statistical and thus different from linguistic universals that contribute to describing the variation of human languages, and they can only be identified over a large accumulation of usages. The book provides an overview of state-of-the art findings on these statistical universals and reconsiders the nature of language accordingly, with Zipf's law as a well-known example. The main focus of the book further lies in explaining the property of long memory, which was discovered and studied more recently by borrowing concepts from complex systems theory. The statistical universals not only possibly lie as the precursor of language system formation, but they also highlight the qualities of language that remain weak points in today's machine learning. In summary, this book provides an overview of language's global properties. It will be of interest to anyone engaged in fields related to language and computing or statistical analysis methods, with an emphasis on researchers and students in computational linguistics and natural language processing. While the book does apply mathematical concepts, all possible effort has been made to speak to a non-mathematical audience as well by communicating mathematical content intuitively, with concise examples taken from real texts.