Understanding Models for Learning and Instruction:


Book Description

The pioneering research and theories of Norbert Seel have had a profound impact on educational thought in mathematics. In this special tribute, an international panel of researchers presents the current state of model-based education: its research, methodology, and technology. Fifteen stimulating, sometimes playful chapters link the multiple ways of constructing knowledge to the complex real world of skill development. This synthesis of latest innovations and fresh perspectives on classic constructs makes the book cutting-edge reading for the researchers and educators in mathematics instruction building the next generation of educational models.




Understanding Vision


Book Description

Vision science has grown hugely in the past decades, but there have been few books showing readers how to adopt a computional approach to understanding visual perception, along with the underlying mechanisms in the brain. This book explains the computational principles and models of biological visual processing, and in particular, primate vision.




Models of the Mind


Book Description

The human brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For more than a century, a diverse array of researchers searched for a language that could be used to capture the essence of what these neurons do and how they communicate – and how those communications create thoughts, perceptions and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it. In Models of the Mind, author and computational neuroscientist Grace Lindsay explains how mathematical models have allowed scientists to understand and describe many of the brain's processes, including decision-making, sensory processing, quantifying memory, and more. She introduces readers to the most important concepts in modern neuroscience, and highlights the tensions that arise when the abstract world of mathematical modelling collides with the messy details of biology. Each chapter of Models of the Mind focuses on mathematical tools that have been applied in a particular area of neuroscience, progressing from the simplest building block of the brain – the individual neuron – through to circuits of interacting neurons, whole brain areas and even the behaviours that brains command. In addition, Grace examines the history of the field, starting with experiments done on frog legs in the late eighteenth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. Throughout, she reveals the value of using the elegant language of mathematics to describe the machinery of neuroscience.




Interpretable Machine Learning


Book Description

This book is about making machine learning models and their decisions interpretable. After exploring the concepts of interpretability, you will learn about simple, interpretable models such as decision trees, decision rules and linear regression. Later chapters focus on general model-agnostic methods for interpreting black box models like feature importance and accumulated local effects and explaining individual predictions with Shapley values and LIME. All interpretation methods are explained in depth and discussed critically. How do they work under the hood? What are their strengths and weaknesses? How can their outputs be interpreted? This book will enable you to select and correctly apply the interpretation method that is most suitable for your machine learning project.




Understanding Models


Book Description

Learn How Models Extend Understanding Of Scientific Concepts And Enhance Presentations.







Models of Understanding Text


Book Description

What is text understanding? It is the dynamic process of constructing coherent representations and inferences at multiple levels of text and context, within the bottleneck of a limited-capacity working memory. The field of text and discourse has advanced to the point where researchers have developed sophisticated models of comprehension, and identified the particular assumptions that underlie comprehension mechanisms in precise analytical or mathematical detail. The models offer a priori predictions about thought and behavior, not merely ad hoc descriptions of data. Indeed, the field has evolved to a mature science. The contributors to this volume collectively cover the major models of comprehension in the field of text and discourse. Other books are either narrow -- covering only a single theoretical framework -- or do not focus on systematic modeling efforts. In addition, this book focuses on deep levels of understanding rather than language codes, syntax, and other shallower levels of text analysis. As such, it provides readers with up-to-date information on current psychological models specified in quantitative or analytical detail.




Models


Book Description

Marx Wartofsky has been working for many years within an unusual confluence of philosophical problems. He brings to these intersecting problems his comprehensive intelligence, at once imaginative and rigorous, analytic and historical. He is a philosopher's philosopher, but also Everyman's. Wartofsky is philosopher of the natural and the social sciences, of perception, esthetics and the creative arts, of the 18th century French and the 19th century Germans, of politics and morality, ofthe methods and morals of medicine, and it is plain, of all human existence. To a colleague, he seems Jack-of-all-philosophical-trades, and master of them too. The reader soon will learn that Wartofsky is a genial, lucid and relaxed philosophical companion, deeply serious but without noticeable anxiety. I need not highlight these selected epistemological papers gathered as, and about, Models, since Wartofsky's own introductory remarks are helpful and stimulating in that respect. I need only, after 21 years of friendship and collaboration with him, warn the reader to beware of how profound and provocative these papers will show themselves to be beneath their good-humored and swiftly-flowing surface. And I must publicly note the pleasure with which I welcome Marx Wartofsky's volume to our Boston Studies. Boston University R.S.C. Center for the Philosophy and History of Science September 1979 vii TABLE OF CONTENTS EDITORIAL PREFACE VII xi AC K NOWLEDGEMENTS xiii INTRODUCTION The Model Muddle: Proposals for an Immodest Realism 1.




Understanding and Managing Model Risk


Book Description

A guide to the validation and risk management of quantitative models used for pricing and hedging Whereas the majority of quantitative finance books focus on mathematics and risk management books focus on regulatory aspects, this book addresses the elements missed by this literature--the risks of the models themselves. This book starts from regulatory issues, but translates them into practical suggestions to reduce the likelihood of model losses, basing model risk and validation on market experience and on a wide range of real-world examples, with a high level of detail and precise operative indications.




The Great Mental Models, Volume 1


Book Description

Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.