Mathematical Modeling of the Learning Curve PDF Download
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Author: Charles I. Abramson
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111313670
Category : Computers
Languages : en
Pages : 252
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Book Description
The application of mathematical models in the analysis of learning data has a rich tradition in experimental psychology. Such modeling is not only of scientific interest from psychophysiological point of view but very important from clinical point of view because memory impairment is a common symptom that is frequently diagnosed in elder people, persons after traumatic brain injury, patients with type 2 diabetes mellitus, Parkinson disease, multiple sclerosis, and other neurological and psychiatric diseases. Mild memory impairment might be one of the most important symptoms of a future Alzheimer's disease. Thus, early diagnosis of initial signs of memory impairment is of importance. The book offers the reader hands on practical experience using a mathematical model dveloped by the senior authors. Classroom tested experiments are provided which requires the reader to use the model under various conditions such as learning and memory in both humans and animals. Following an introduction to mathematical models, the book contains 13 experiments. These experiments include those related to animal learning in such organisms as snails, bees, and rats. A variety of human experiments are also presented including those related to short and long term memory, maze learning, classical salivary conditioning, evaluation of sound on memory, and the influence of dietary supplements on memory. We close the section on experiments with and analysis of machine learning curves. Appendices are provided on how to build apparatus and how to install the software.
Author: Charles I. Abramson
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111313670
Category : Computers
Languages : en
Pages : 252
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Book Description
The application of mathematical models in the analysis of learning data has a rich tradition in experimental psychology. Such modeling is not only of scientific interest from psychophysiological point of view but very important from clinical point of view because memory impairment is a common symptom that is frequently diagnosed in elder people, persons after traumatic brain injury, patients with type 2 diabetes mellitus, Parkinson disease, multiple sclerosis, and other neurological and psychiatric diseases. Mild memory impairment might be one of the most important symptoms of a future Alzheimer's disease. Thus, early diagnosis of initial signs of memory impairment is of importance. The book offers the reader hands on practical experience using a mathematical model dveloped by the senior authors. Classroom tested experiments are provided which requires the reader to use the model under various conditions such as learning and memory in both humans and animals. Following an introduction to mathematical models, the book contains 13 experiments. These experiments include those related to animal learning in such organisms as snails, bees, and rats. A variety of human experiments are also presented including those related to short and long term memory, maze learning, classical salivary conditioning, evaluation of sound on memory, and the influence of dietary supplements on memory. We close the section on experiments with and analysis of machine learning curves. Appendices are provided on how to build apparatus and how to install the software.
Author: IGOR IGOREVICH STEPANOV.
Publisher: Nova Science Publishers
ISBN: 9781685078515
Category : Mathematics
Languages : en
Pages : 273
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Book Description
"This book provides a detailed description of the application of mathematical learning curve modeling to analyze the state of learning and memory in humans and animals. The purpose of the book is to enable the readers to apply the knowledge gained in their own research on learning and memory. The authors hope that the readers may achieve success in this field of knowledge, expand and advance mathematical modeling of the learning curve, and that this book may aid in this process. For this, the authors have developed their own mathematical model based on the systems theory and proved its advantage in relation to those previously proposed. The authors developed MS Windows application "Learning Curve Modeling Tool" to help the reader modeling the learning curve from raw learning data in the California Verbal Learning Test, the Rey Auditory Verbal Learning Test, and other similar memory tests. Moreover, the book describes in detail the Windows and Android application "Memory Monitoring Tool", developed by the authors, which is suited well for mathematical modeling of the learning curves. The application aims to reveal initial signs of memory impairment. Besides, the section APPENDIX A describes a Web application - "Learning curve simulator" - developed by the authors for helping readers to get started with practically modeling the learning curve and testing their memory. This application is included in the book. The book will be useful for undergraduate students, graduate students, advanced graduate students, and professors, especially for professors who work on learning in both humans and animals, and those interested in the memory of marijuana users, alcoholics, and those suffering from diabetes and multiple sclerosis, as well as other neurological and psychological diseases and their neurological complications including those after COVID-19"--
Author: Paul Speaker
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 294
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Book Description
Author: Mohamad Y. Jaber
Publisher: CRC Press
ISBN: 143980740X
Category : Business & Economics
Languages : en
Pages : 464
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Book Description
Written by international contributors, Learning Curves: Theory, Models, and Applications first draws a learning map that shows where learning is involved within organizations, then examines how it can be sustained, perfected, and accelerated. The book reviews empirical findings in the literature in terms of different sources for learning and partia
Author: Jennie H. Lommel
Publisher:
ISBN: 9781423579540
Category : Airplanes
Languages : en
Pages : 163
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Book Description
In 1995, the C-17 Factory Simulation Model (FSM) was developed to enable analysts to address 'what-if' questions about the resources required to build future aircraft, and is based on learning curve models that are used to both portray and simulate future aircraft production. In this thesis, we examine and develop alternate learning curve models that also utilize a small amount of initial production data to portray the relationship between the number of aircraft built and the resources required to build them. The goal is to identify a model which not only provides a good fit and forecast based on a small amount of data but is also intuitive and reasonably simple to apply. We also propose and evaluate the use of Autoregressive Moving Average (ARMA) models for modeling the effects of learning. These models are exercised in fitting simulated log- linear data, as well as in fitting and forecasting historical F-102 manufacturing data and notional C-17 manufacturing data. The results are somewhat inconclusive since they do not identify any one model as the best. They do, however, suggest that ARMA models are a promising alternative to the standard log-linear learning curve. The thesis concludes with an examination of the effects of explicitly accounting for uncertainty in parameter estimation when simulating future performance based on the traditional log-linear learning curve model. The results show that the approach employed in the FSM is viable even though it does not directly account for this uncertainty.
Author: Alan R. Jones
Publisher: Routledge
ISBN: 1351661477
Category : Business & Economics
Languages : en
Pages : 304
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Book Description
Learning, Unlearning and Re-learning Curves (Volume IV of the Working Guides to Estimating & Forecasting series) focuses in on Learning Curves, and the various tried and tested models of Wright, Crawford, DeJong, Towill-Bevis and others. It explores the differences and similarities between the various models and examines the key properties that Estimators and Forecasters can exploit. A discussion about Learning Curve Cost Drivers leads to the consideration of a little used but very powerful technique of Learning Curve modelling called Segmentation, which looks at an organisation’s complex learning curve as the product of multiple shallower learning curves. Perhaps the biggest benefit is that it simplifies the calculations in Microsoft Excel where there is a change in the rate of learning observed or expected. The same technique can be used to model and calibrate discontinuities in the learning process that result in setbacks and uplifts in time or cost. This technique is compared with other, better known techniques such as Anderlohr’s. Equivalent Unit Learning is another, relative new technique that can be used alongside traditional completed unit learning to give an early warning of changes in the rates of learning. Finally, a Learning Curve can be exploited to estimate the penalty of collaborative working across multiple partners. Supported by a wealth of figures and tables, this is a valuable resource for estimators, engineers, accountants, project risk specialists, as well as students of cost engineering.
Author: Saul I. Gass
Publisher: Springer Science & Business Media
ISBN: 1461304598
Category : Business & Economics
Languages : en
Pages : 774
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Book Description
Operations Research: 1934-1941," 35, 1, 143-152; "British The goal of the Encyclopedia of Operations Research and Operational Research in World War II," 35, 3, 453-470; Management Science is to provide to decision makers and "U. S. Operations Research in World War II," 35, 6, 910-925; problem solvers in business, industry, government and and the 1984 article by Harold Lardner that appeared in academia a comprehensive overview of the wide range of Operations Research: "The Origin of Operational Research," ideas, methodologies, and synergistic forces that combine to 32, 2, 465-475. form the preeminent decision-aiding fields of operations re search and management science (OR/MS). To this end, we The Encyclopedia contains no entries that define the fields enlisted a distinguished international group of academics of operations research and management science. OR and MS and practitioners to contribute articles on subjects for are often equated to one another. If one defines them by the which they are renowned. methodologies they employ, the equation would probably The editors, working with the Encyclopedia's Editorial stand inspection. If one defines them by their historical Advisory Board, surveyed and divided OR/MS into specific developments and the classes of problems they encompass, topics that collectively encompass the foundations, applica the equation becomes fuzzy. The formalism OR grew out of tions, and emerging elements of this ever-changing field. We the operational problems of the British and U. s. military also wanted to establish the close associations that OR/MS efforts in World War II.
Author: Matthew S. Goldberg
Publisher: Institute for Operations Research and Management Sciences Nf
ISBN:
Category : Business & Economics
Languages : en
Pages : 200
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Book Description
operations research and management science
Author: M. Cross
Publisher: Ellis Horwood
ISBN:
Category : Mathematical models
Languages : en
Pages : 164
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Book Description
Author: Gloria Ann Stillman
Publisher: Springer
ISBN: 3319629689
Category : Education
Languages : en
Pages : 620
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Book Description
This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.
