Calculus of Thought

Calculus of Thought PDF

Author: Daniel M Rice

Publisher: Academic Press

Published: 2013-10-15

Total Pages: 295

ISBN-13: 0124104525

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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

A Calculus of Ideas

A Calculus of Ideas PDF

Author: Ulf Grenander

Publisher: World Scientific

Published: 2012

Total Pages: 236

ISBN-13: 9814383198

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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 Ideas, A: A Mathematical Study Of Human Thought

Calculus Of Ideas, A: A Mathematical Study Of Human Thought PDF

Author: Ulf Grenander

Publisher: World Scientific

Published: 2012-08-10

Total Pages: 236

ISBN-13: 9814439118

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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.

A Calculus of Ideas

A Calculus of Ideas PDF

Author: Ulf Grenander

Publisher: World Scientific

Published: 2012

Total Pages: 236

ISBN-13: 981438318X

DOWNLOAD EBOOK →

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

Calculus of Thought PDF

Author: Daniel Rice

Publisher:

Published: 2013

Total Pages: 272

ISBN-13:

DOWNLOAD EBOOK →

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 Offers a new neuromorphic foundation for machine learning based upon the reduced error logistic regression (RELR) method and provides simple examples of RELR computations in toy problems that can be accessed in spreadsheet workbooks through a companion website.

Change Is the Only Constant

Change Is the Only Constant PDF

Author: Ben Orlin

Publisher: Black Dog & Leventhal

Published: 2019-10-08

Total Pages: 320

ISBN-13: 031650906X

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The next book from Ben Orlin, the popular math blogger and author of the underground bestseller Math With Bad Drawings. Change Is The Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings. Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. By spinning 28 engaging mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.

Calculus and Pizza

Calculus and Pizza PDF

Author: Clifford A. Pickover

Publisher: John Wiley & Sons

Published: 2003-06-16

Total Pages: 0

ISBN-13: 9780471269878

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CALCULUS + PEPPERONI / FUN = MATH SUCCESS Do you want to do well on your calculus exam? Are you looking for a quick refresher course? Or would you just like to get a taste of what calculus is all about? If so, you've selected the right book. Calculus and Pizza is a creative, surprisingly delicious overview of the essential rules and formulas of calculus, with tons of problems for the learner with a healthy appetite. Setting up residence in a pizza parlor, Clifford Pickover focuses on procedures for solving problems, offering short, easy-to-digest chapters that allow you to quickly get the essence of a technique or question. From exponentials and logarithms to derivatives and multiple integrals, the book utilizes pepperoni, meatballs, and more to make complex topics fun to learn-emphasizing basic, practical principles to help you calculate the speed of tossed pizza dough or the rising cost of eggplant parmigiana. Plus, you'll see how simple math-and a meal-can solve especially curious and even mind-shattering problems. Authoritatively and humorously written, Calculus and Pizza provides a lively-and more tasteful-approach to calculus. "Pickover has published nearly a book a year in which he stretches the limits of computers, art, and thought." —Los Angeles Times "A perpetual idea machine, Clifford Pickover is one of the most creative, original thinkers in the world today." —Journal of Recreational Mathematics