Mathematical Models of Perception and Cognition Volume II

Mathematical Models of Perception and Cognition Volume II PDF Author: Joseph W. Houpt
Publisher: Routledge
ISBN: 1317297482
Category : Psychology
Languages : en
Pages : 288

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Book Description
In this two volume festschrift, contributors explore the theoretical developments (Volume I) and applications (Volume II) in traditional cognitive psychology domains, and model other areas of human performance that benefit from rigorous mathematical approaches. It brings together former classmates, students and colleagues of Dr. James T. Townsend, a pioneering researcher in the field since the early 1960s, to provide a current overview of mathematical modeling in psychology. Townsend’s research critically emphasized a need for rigor in the practice of cognitive modeling, and for providing mathematical definition and structure to ill-defined psychological topics. The research captured demonstrates how the interplay of theory and application, bridged by rigorous mathematics, can move cognitive modeling forward.

Mathematical Models of Perception and Cognition Volume II

Mathematical Models of Perception and Cognition Volume II PDF Author: Joseph W. Houpt
Publisher: Routledge
ISBN: 1317297482
Category : Psychology
Languages : en
Pages : 288

Get Book Here

Book Description
In this two volume festschrift, contributors explore the theoretical developments (Volume I) and applications (Volume II) in traditional cognitive psychology domains, and model other areas of human performance that benefit from rigorous mathematical approaches. It brings together former classmates, students and colleagues of Dr. James T. Townsend, a pioneering researcher in the field since the early 1960s, to provide a current overview of mathematical modeling in psychology. Townsend’s research critically emphasized a need for rigor in the practice of cognitive modeling, and for providing mathematical definition and structure to ill-defined psychological topics. The research captured demonstrates how the interplay of theory and application, bridged by rigorous mathematics, can move cognitive modeling forward.

Mathematical Models of Perception and Cognition Volume I

Mathematical Models of Perception and Cognition Volume I PDF Author: Joseph W. Houpt
Publisher: Psychology Press
ISBN: 1317297512
Category : Psychology
Languages : en
Pages : 306

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Book Description
In this two volume festschrift, contributors explore the theoretical developments (Volume I) and applications (Volume II) in traditional cognitive psychology domains, and model other areas of human performance that benefit from rigorous mathematical approaches. It brings together former classmates, students and colleagues of Dr. James T. Townsend, a pioneering researcher in the field since the early 1960s, to provide a current overview of mathematical modeling in psychology. Townsend’s research critically emphasized a need for rigor in the practice of cognitive modeling, and for providing mathematical definition and structure to ill-defined psychological topics. The research captured demonstrates how the interplay of theory and application, bridged by rigorous mathematics, can move cognitive modeling forward.

Mathematical Models of Perception and Cognition

Mathematical Models of Perception and Cognition PDF Author: Joseph W. Houpt
Publisher: Psychology Press
ISBN: 9781138600263
Category :
Languages : en
Pages : 284

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Book Description
In this two volume festschrift, contributors explore the theoretical developments (Volume I) and applications (Volume II) in traditional cognitive psychology domains, and model other areas of human performance that benefit from rigorous mathematical approaches. It brings together former classmates, students and colleagues of Dr. James T. Townsend, a pioneering researcher in the field since the early 1960s, to provide a current overview of mathematical modeling in psychology. Townsend¿s research critically emphasized a need for rigor in the practice of cognitive modeling, and for providing mathematical definition and structure to ill-defined psychological topics. The research captured demonstrates how the interplay of theory and application, bridged by rigorous mathematics, can move cognitive modeling forward.

Multidimensional Models of Perception and Cognition

Multidimensional Models of Perception and Cognition PDF Author: F. Gregory Ashby
Publisher: Psychology Press
ISBN: 1317784030
Category : Education
Languages : en
Pages : 582

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Book Description
The mental representations of perceptual and cognitive stimuli vary on many dimensions. In addition, because of quantal fluctuations in the stimulus, spontaneous neural activity, and fluctuations in arousal and attentiveness, mental events are characterized by an inherent variability. During the last several years, a number of models and theories have been developed that explicitly assume the appropriate mental representation is both multidimensional and probabilistic. This new approach has the potential to revolutionize the study of perception and cognition in the same way that signal detection theory revolutionized the study of psychophysics. This unique volume is the first to critically survey this important new area of research.

Trends and Challenges in Cognitive Modeling

Trends and Challenges in Cognitive Modeling PDF Author: Tomas Veloz
Publisher: Springer Nature
ISBN: 303141862X
Category : Mathematics
Languages : en
Pages : 191

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Book Description
This book presents interdisciplinary research in the science of Human Cognition through mathematical and computational modeling and simulation. Featuring new approaches developed by leading experts in the field of cognitive science, it highlights the relevance and depth of this important area of social sciences and its expanding reach into the biological, physical, computational and mathematical sciences. This contributed volume compiles the most recent advancements and cutting-edge applications of cognitive modeling, employing a genuinely multidisciplinary approach to simulate thinking, memory, and decision-making. The topics covered encompass a wide range of subjects, such as Agent-based Modeling in psychological research, the Nyayasutra proof pattern, the utilization of the Pheromone Trail Algorithm for modeling Analog Memory, the theory and practical applications of Social Laser Theory, addressing the challenges of probabilistic learning in brain and behavior models, adopting a Physicalistic perspective to understand the emergence of cognition and computation, an in-depth analysis of the conjunction fallacy as a factual occurrence, exploring quantum modeling and causality in physics and its extensions, examining compositional vector semantics within spiking neural networks, delving into the realms of Optimality, Prototypes, and Bilingualism, and finally, investigating the intricate dimensionality of color perception. Given its scope and approach, the book will benefit researchers and students of computational social sciences, mathematics and its applications, quantum physics.

Computational Modeling in Cognition

Computational Modeling in Cognition PDF Author: Stephan Lewandowsky
Publisher: SAGE Publications
ISBN: 1452223386
Category : Psychology
Languages : en
Pages : 377

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Book Description
An accessible introduction to the principles of computational and mathematical modeling in psychology and cognitive science This practical and readable work provides students and researchers, who are new to cognitive modeling, with the background and core knowledge they need to interpret published reports, and develop and apply models of their own. The book is structured to help readers understand the logic of individual component techniques and their relationships to each other.

The Oxford Handbook of Computational and Mathematical Psychology

The Oxford Handbook of Computational and Mathematical Psychology PDF Author: Jerome R. Busemeyer
Publisher: Oxford University Press
ISBN: 0199958009
Category : Psychology
Languages : en
Pages : 425

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Book Description
This Oxford Handbook offers a comprehensive and authoritative review of important developments in computational and mathematical psychology. With chapters written by leading scientists across a variety of subdisciplines, it examines the field's influence on related research areas such as cognitive psychology, developmental psychology, clinical psychology, and neuroscience. The Handbook emphasizes examples and applications of the latest research, and will appeal to readers possessing various levels of modeling experience. The Oxford Handbook of Computational and mathematical Psychology covers the key developments in elementary cognitive mechanisms (signal detection, information processing, reinforcement learning), basic cognitive skills (perceptual judgment, categorization, episodic memory), higher-level cognition (Bayesian cognition, decision making, semantic memory, shape perception), modeling tools (Bayesian estimation and other new model comparison methods), and emerging new directions in computation and mathematical psychology (neurocognitive modeling, applications to clinical psychology, quantum cognition). The Handbook would make an ideal graduate-level textbook for courses in computational and mathematical psychology. Readers ranging from advanced undergraduates to experienced faculty members and researchers in virtually any area of psychology--including cognitive science and related social and behavioral sciences such as consumer behavior and communication--will find the text useful.

An Interdisciplinary Approach to Cognitive Modelling

An Interdisciplinary Approach to Cognitive Modelling PDF Author: Partha Ghose
Publisher: Taylor & Francis
ISBN: 1003818552
Category : Philosophy
Languages : en
Pages : 139

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Book Description
An Interdisciplinary Approach to Cognitive Modelling presents a new approach to cognition that challenges long-held views. It systematically develops a broad-based framework to model cognition, which is mathematically equivalent to the emerging ‘quantum-like modelling’ of the human mind. The book argues that a satisfactory physical and philosophical basis of such an approach is missing, a particular issue being the application of quantization to the mind for which there is no empirical evidence as yet. In response to this issue, the book adopts a COM (classical optical modelling) approach, broad-based but mathematically equivalent to quantum-like modelling while avoiding its problematic features. It presents a philosophically informed and empirically motivated mathematical model of cognition, mainly concerning decision-making processes. It also deals with applications to different areas of the social sciences. It will be of interest to scholars and research students interested in the mathematical modelling of cognition and decision-making, and also interdisciplinary researchers interested in broader issues of cognition.

Mathematical Psychology and Psychophysiology

Mathematical Psychology and Psychophysiology PDF Author: Stephen Grossberg
Publisher: Psychology Press
ISBN: 1317769643
Category : Psychology
Languages : en
Pages : 329

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Book Description
Mathematical Psychology and Psychophysiology promotes an understanding of the mind and its neural substrates by applying interdisciplinary approaches to issues concerning behavior and the brain. The contributions present model from many disciplines that share common, conceptual, functional, or mechanistic substrates and summarize recent models and data from neural networks, mathematical genetics, psychoacoustics, olfactory coding, visual perception, measurement, psychophysics, cognitive development, and other areas. The contributors to Mathematical Psychology and Psychophysiology show the conceptual and mathematical interconnectedness of several approaches to the fundamental scientific problem of understanding mind and brain. The book's interdisciplinary approach permits a deeper understanding of theoretical advances as it formally structures a broad overview of the data.

Statistical Models in Cognition and Perception

Statistical Models in Cognition and Perception PDF Author: Jeffrey N. Rouder
Publisher: Wiley-Blackwell
ISBN: 9781405132084
Category : Psychology
Languages : en
Pages : 344

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Book Description
There has always been a strong mathematical and statistical component in experimental psychology. Many current articles in high-ranking journals present sophisticated, nonlinear statistical and mathematical models for solving substantive problems. This high level of discourse represents advances in both methodological practice and scientific knowledge. It also presents a challenge to the research community: how do we teach the skills necessary to understand mathematical and statistical approaches? There are several excellent texts on psychological statistics. These focus on the general linear model and cover topics such as ANOVA and regression. They do not provide coverage of simple nonlinear models that have been instrumental in modern cognition and perception. There are a few texts in mathematical psychology,but these do not focus on statistical issues of parameter estimation, inference,and model selection. In brief, there is an unfilled niche in graduate education for a text that covers practical aspects of using formal models in cognition and perception. The theme of the book is that modeling can be done in a united statistical framework. The framework is based on two features: (1) models can be placed in a nested structure with general models nesting more specific ones; and (2) estimation and inference for all of these models can be done with maximum likelihood techniques. Using a pragmatic approach, this book will show students how to solve problems with statistical models. Further, the approach stresses the relationship between psychological theory and statistical models. Many theories of psychological process are neither linear nor additive; analysis of data to test these theories can be more profitably done outside of the general linear model framework. One of the tenets of this book is that theoretical or experimental concerns motivate appropriate statistical models. This task of motivating statistical models with psychological concerns is greatly aided by a nested-models framework.