Calculus Of Thought
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Author | : Daniel M. Rice |
Publisher | : |
Total Pages | : 280 |
Release | : 2013-11-07 |
Genre | : Mathematics |
ISBN | : 9780124104075 |
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."
Author | : Ulf Grenander |
Publisher | : World Scientific |
Total Pages | : 236 |
Release | : 2012 |
Genre | : Computers |
ISBN | : 9814383198 |
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.
Author | : Daniel M Rice |
Publisher | : Academic Press |
Total Pages | : 295 |
Release | : 2013-10-15 |
Genre | : Mathematics |
ISBN | : 0124104525 |
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
Author | : Luke Heaton |
Publisher | : Oxford University Press |
Total Pages | : 337 |
Release | : 2017 |
Genre | : History |
ISBN | : 0190621761 |
A compelling and readable book that situates mathematics in human experience and history.
Author | : Ib H. Madsen |
Publisher | : Cambridge University Press |
Total Pages | : 302 |
Release | : 1997-03-13 |
Genre | : Mathematics |
ISBN | : 9780521589567 |
An introductory textbook on cohomology and curvature with emphasis on applications.
Author | : Jordan Ellenberg |
Publisher | : Penguin Press |
Total Pages | : 480 |
Release | : 2014-05-29 |
Genre | : Mathematics |
ISBN | : 1594205221 |
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
Author | : Michael Spivak |
Publisher | : Westview Press |
Total Pages | : 164 |
Release | : 1965 |
Genre | : Science |
ISBN | : 9780805390216 |
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
Author | : George Lakoff |
Publisher | : |
Total Pages | : 520 |
Release | : 2000-11-02 |
Genre | : Mathematics |
ISBN | : |
A study of the cognitive science of mathematical ideas.
Author | : Frederick Shenstone Woods |
Publisher | : |
Total Pages | : 438 |
Release | : 1928 |
Genre | : Calculus |
ISBN | : |
Author | : David Berlinski |
Publisher | : Vintage |
Total Pages | : 353 |
Release | : 2011-04-27 |
Genre | : Mathematics |
ISBN | : 030778973X |
Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review