Calculus For Cognitive Scientists
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Calculus For Cognitive Scientists
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Author : James Peterson
language : en
Publisher: Springer
Release Date : 2016-02-11
Calculus For Cognitive Scientists written by James Peterson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-11 with Technology & Engineering categories.
This book shows cognitive scientists in training how mathematics, computer science and science can be usefully and seamlessly intertwined. It is a follow-up to the first two volumes on mathematics for cognitive scientists, and includes the mathematics and computational tools needed to understand how to compute the terms in the Fourier series expansions that solve the cable equation. The latter is derived from first principles by going back to cellular biology and the relevant biophysics. A detailed discussion of ion movement through cellular membranes, and an explanation of how the equations that govern such ion movement leading to the standard transient cable equation are included. There are also solutions for the cable model using separation of variables, as well an explanation of why Fourier series converge and a description of the implementation of MatLab tools to compute the solutions. Finally, the standard Hodgkin - Huxley model is developed for an excitable neuron and is solved using MatLab.
A Calculus Of Ideas
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Author : Ulf Grenander
language : en
Publisher: World Scientific
Release Date : 2012
A Calculus Of Ideas written by Ulf Grenander and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.
This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method illustrated and produced by extensive computer simulations is related to neural networks. Based mainly on introspection, it is speculative rather than empirical such that it differs radically in attitude from the conventional wisdom of current cognitive science.
Calculus Of Thought
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Author : Daniel M Rice
language : en
Publisher: Academic Press
Release Date : 2013-10-15
Calculus Of Thought written by Daniel M Rice and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-15 with Mathematics categories.
Calculus of Thought: Neuromorphic Logistic Regression in Cognitive Machines is a must-read for all scientists about a very simple computation method designed to simulate big-data neural processing. This book is inspired by the Calculus Ratiocinator idea of Gottfried Leibniz, which is that machine computation should be developed to simulate human cognitive processes, thus avoiding problematic subjective bias in analytic solutions to practical and scientific problems. The reduced error logistic regression (RELR) method is proposed as such a "Calculus of Thought." This book reviews how RELR's completely automated processing may parallel important aspects of explicit and implicit learning in neural processes. It emphasizes the fact that RELR is really just a simple adjustment to already widely used logistic regression, along with RELR's new applications that go well beyond standard logistic regression in prediction and explanation. Readers will learn how RELR solves some of the most basic problems in today's big and small data related to high dimensionality, multi-colinearity, and cognitive bias in capricious outcomes commonly involving human behavior. - Provides a high-level introduction and detailed reviews of the neural, statistical and machine learning knowledge base as a foundation for a new era of smarter machines - Argues that smarter machine learning to handle both explanation and prediction without cognitive bias must have a foundation in cognitive neuroscience and must embody similar explicit and implicit learning principles that occur in the brain
Calculus For Cognitive Scientists
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Author : James K. Peterson
language : en
Publisher: Springer
Release Date : 2018-12-09
Calculus For Cognitive Scientists written by James K. Peterson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-09 with Computers categories.
This book provides a self-study program on how mathematics, computer science and science can be usefully and seamlessly intertwined. Learning to use ideas from mathematics and computation is essential for understanding approaches to cognitive and biological science. As such the book covers calculus on one variable and two variables and works through a number of interesting first-order ODE models. It clearly uses MatLab in computational exercises where the models cannot be solved by hand, and also helps readers to understand that approximations cause errors – a fact that must always be kept in mind.
Calculus For Cognitive Scientists
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Author : James K. Peterson
language : en
Publisher: Springer
Release Date : 2018-12-09
Calculus For Cognitive Scientists written by James K. Peterson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-09 with Computers categories.
This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It also shows how to solve cable models using separation of variables and the Fourier Series.
Mathematical Cognition
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Author : James M. Royer
language : en
Publisher: IAP
Release Date : 2003-01-01
Mathematical Cognition written by James M. Royer and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Education categories.
Proceedings Of The Twentieth Annual Conference Of The Cognitive Science Society
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Author : Morton Ann Gernsbacher
language : en
Publisher: Routledge
Release Date : 2022-05-16
Proceedings Of The Twentieth Annual Conference Of The Cognitive Science Society written by Morton Ann Gernsbacher and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-16 with Psychology categories.
This volume features the complete text of the material presented at the Twentieth Annual Conference of the Cognitive Science Society. As in previous years, the symposium included an interesting mixture of papers on many topics from researchers with diverse backgrounds and different goals, presenting a multifaceted view of cognitive science. This volume contains papers, posters, and summaries of symposia presented at the leading conference that brings cognitive scientists together to discuss issues of theoretical and applied concern. Submitted presentations are represented in these proceedings as "long papers" (those presented as spoken presentations and "full posters" at the conference) and "short papers" (those presented as "abstract posters" by members of the Cognitive Science Society).
The Mit Encyclopedia Of The Cognitive Sciences Mitecs
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Author : Robert A. Wilson
language : en
Publisher: MIT Press
Release Date : 2001-09-04
The Mit Encyclopedia Of The Cognitive Sciences Mitecs written by Robert A. Wilson and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-04 with Psychology categories.
Since the 1970s the cognitive sciences have offered multidisciplinary ways of understanding the mind and cognition. The MIT Encyclopedia of the Cognitive Sciences (MITECS) is a landmark, comprehensive reference work that represents the methodological and theoretical diversity of this changing field. At the core of the encyclopedia are 471 concise entries, from Acquisition and Adaptationism to Wundt and X-bar Theory. Each article, written by a leading researcher in the field, provides an accessible introduction to an important concept in the cognitive sciences, as well as references or further readings. Six extended essays, which collectively serve as a roadmap to the articles, provide overviews of each of six major areas of cognitive science: Philosophy; Psychology; Neurosciences; Computational Intelligence; Linguistics and Language; and Culture, Cognition, and Evolution. For both students and researchers, MITECS will be an indispensable guide to the current state of the cognitive sciences.
Cognitive Science
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Author : José Luis Bermúdez
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-27
Cognitive Science written by José Luis Bermúdez and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-27 with Language Arts & Disciplines categories.
Cognitive Science combines the interdisciplinary streams of cognitive science into a unified narrative in an all-encompassing introduction to the field. This text presents cognitive science as a discipline in its own right, and teaches students to apply the techniques and theories of the cognitive scientist's 'toolkit' - the vast range of methods and tools that cognitive scientists use to study the mind. Thematically organized, rather than by separate disciplines, Cognitive Science underscores the problems and solutions of cognitive science, rather than those of the subjects that contribute to it - psychology, neuroscience, linguistics, etc. The generous use of examples, illustrations, and applications demonstrates how theory is applied to unlock the mysteries of the human mind. Drawing upon cutting-edge research, the text has been updated and enhanced to incorporate new studies and key experiments since the first edition. A new chapter on consciousness has also been added.
Proceedings Of The Seventeenth Annual Conference Of The Cognitive Science Society
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Author : Cognitive Science Society (U.S.). Conference
language : en
Publisher: Psychology Press
Release Date : 1995
Proceedings Of The Seventeenth Annual Conference Of The Cognitive Science Society written by Cognitive Science Society (U.S.). Conference and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Psychology categories.
This volume features the complete text of all regular papers, posters, and summaries of symposia presented at the 17th annual meeting of the Cognitive Science Society.