Author: Yoram Baram
Publisher: World Scientific
ISBN: 981123311X
Category : Computers
Languages : en
Pages : 298
Book Description
Have over a hundred years of brain research revealed all its secrets? This book is motivated by a realization that cortical structure and behavior can be explained by a synergy of seemingly different mathematical notions: global attractors, which define non-invertible neural firing rate dynamics, random graphs, which define connectivity of neural circuit, and prime numbers, which define the dimension and category of cortical operation. Quantum computation is shown to ratify the main conclusion of the book: loosely connected small neural circuits facilitate higher information storage and processing capacities than highly connected large circuits. While these essentially separate mathematical notions have not been commonly involved in the evolution of neuroscience, they are shown in this book to be strongly inter-related in the cortical arena. Furthermore, neurophysiological experiments, as well as observations of natural behavior and evidence found in medical testing of neurologically impaired patients, are shown to support, and to be supported by the mathematical findings.Related Link(s)
Subcritical Brain, The: A Synergy Of Segregated Neural Circuits In Memory, Cognition And Sensorimotor Control
Author: Yoram Baram
Publisher: World Scientific
ISBN: 981123311X
Category : Computers
Languages : en
Pages : 298
Book Description
Have over a hundred years of brain research revealed all its secrets? This book is motivated by a realization that cortical structure and behavior can be explained by a synergy of seemingly different mathematical notions: global attractors, which define non-invertible neural firing rate dynamics, random graphs, which define connectivity of neural circuit, and prime numbers, which define the dimension and category of cortical operation. Quantum computation is shown to ratify the main conclusion of the book: loosely connected small neural circuits facilitate higher information storage and processing capacities than highly connected large circuits. While these essentially separate mathematical notions have not been commonly involved in the evolution of neuroscience, they are shown in this book to be strongly inter-related in the cortical arena. Furthermore, neurophysiological experiments, as well as observations of natural behavior and evidence found in medical testing of neurologically impaired patients, are shown to support, and to be supported by the mathematical findings.Related Link(s)
Publisher: World Scientific
ISBN: 981123311X
Category : Computers
Languages : en
Pages : 298
Book Description
Have over a hundred years of brain research revealed all its secrets? This book is motivated by a realization that cortical structure and behavior can be explained by a synergy of seemingly different mathematical notions: global attractors, which define non-invertible neural firing rate dynamics, random graphs, which define connectivity of neural circuit, and prime numbers, which define the dimension and category of cortical operation. Quantum computation is shown to ratify the main conclusion of the book: loosely connected small neural circuits facilitate higher information storage and processing capacities than highly connected large circuits. While these essentially separate mathematical notions have not been commonly involved in the evolution of neuroscience, they are shown in this book to be strongly inter-related in the cortical arena. Furthermore, neurophysiological experiments, as well as observations of natural behavior and evidence found in medical testing of neurologically impaired patients, are shown to support, and to be supported by the mathematical findings.Related Link(s)
The Subcritical Brain
Author: Yoram Baram
Publisher:
ISBN: 9789811233104
Category : Electronic books
Languages : en
Pages : 281
Book Description
"Have over a hundred years of brain research revealed all its secrets? This book is motivated by the realization that the mathematical theory of dynamical systems underlies cortical behavior. This realization is further enhanced by the synergy of seemingly different mathematical notions: global attractors, which define non-invertible neural firing rate dynamics, random graphs, which define connectivity of neural circuit and prime numbers, which define the dimension and category of cortical operation. Quantum computation is shown to ratify the main conclusion of the book: loosely connected small neural circuits facilitate higher information storage and processing capacities than highly connected large circuits. While these notions have not been commonly involved in the evolution of neuroscience, they are shown in this book to play a fundamental role in the description of cortical behavior. Furthermore, neurophysiological experiments, as well as observations of natural behavior and evidence found in medical testing of neurologically impaired patients, are shown to support, and to be supported by the mathematical findings"--
Publisher:
ISBN: 9789811233104
Category : Electronic books
Languages : en
Pages : 281
Book Description
"Have over a hundred years of brain research revealed all its secrets? This book is motivated by the realization that the mathematical theory of dynamical systems underlies cortical behavior. This realization is further enhanced by the synergy of seemingly different mathematical notions: global attractors, which define non-invertible neural firing rate dynamics, random graphs, which define connectivity of neural circuit and prime numbers, which define the dimension and category of cortical operation. Quantum computation is shown to ratify the main conclusion of the book: loosely connected small neural circuits facilitate higher information storage and processing capacities than highly connected large circuits. While these notions have not been commonly involved in the evolution of neuroscience, they are shown in this book to play a fundamental role in the description of cortical behavior. Furthermore, neurophysiological experiments, as well as observations of natural behavior and evidence found in medical testing of neurologically impaired patients, are shown to support, and to be supported by the mathematical findings"--
The Entangled Brain
Author: Luiz Pessoa
Publisher: MIT Press
ISBN: 0262544601
Category : Science
Languages : en
Pages : 281
Book Description
A new vision of the brain as a fully integrated, networked organ. Popular neuroscience accounts often focus on specific mind-brain aspects like addiction, cognition, or memory, but The Entangled Brain tackles a much bigger question: What kind of object is the brain? Neuroscientist Luiz Pessoa describes the brain as a highly networked, interconnected system that cannot be neatly decomposed into a set of independent parts. One can’t point to the brain and say, “This is where emotion happens” (or any other mental faculty). Pessoa argues that only by understanding how large-scale neural circuits combine multiple and diverse signals can we truly appreciate how the brain supports the mind. Presenting the brain as an integrated organ and drawing on neuroscience, computation, mathematics, systems theory, and evolution, The Entangled Brain explains how brain functions result from cross-cutting brain processing, not the function of segregated areas. Parts of the brain work in a coordinated fashion across large-scale distributed networks in which disparate parts of the cortex and the subcortex work simultaneously to bring about behaviors. Pessoa intuitively explains the concepts needed to formalize this idea of the brain as a complex system and how to unleash powerful understandings built with “collective computations.”
Publisher: MIT Press
ISBN: 0262544601
Category : Science
Languages : en
Pages : 281
Book Description
A new vision of the brain as a fully integrated, networked organ. Popular neuroscience accounts often focus on specific mind-brain aspects like addiction, cognition, or memory, but The Entangled Brain tackles a much bigger question: What kind of object is the brain? Neuroscientist Luiz Pessoa describes the brain as a highly networked, interconnected system that cannot be neatly decomposed into a set of independent parts. One can’t point to the brain and say, “This is where emotion happens” (or any other mental faculty). Pessoa argues that only by understanding how large-scale neural circuits combine multiple and diverse signals can we truly appreciate how the brain supports the mind. Presenting the brain as an integrated organ and drawing on neuroscience, computation, mathematics, systems theory, and evolution, The Entangled Brain explains how brain functions result from cross-cutting brain processing, not the function of segregated areas. Parts of the brain work in a coordinated fashion across large-scale distributed networks in which disparate parts of the cortex and the subcortex work simultaneously to bring about behaviors. Pessoa intuitively explains the concepts needed to formalize this idea of the brain as a complex system and how to unleash powerful understandings built with “collective computations.”
The Playful Machine
Author: Ralf Der
Publisher: Springer Science & Business Media
ISBN: 3642202535
Category : Mathematics
Languages : en
Pages : 343
Book Description
Autonomous robots may become our closest companions in the near future. While the technology for physically building such machines is already available today, a problem lies in the generation of the behavior for such complex machines. Nature proposes a solution: young children and higher animals learn to master their complex brain-body systems by playing. Can this be an option for robots? How can a machine be playful? The book provides answers by developing a general principle---homeokinesis, the dynamical symbiosis between brain, body, and environment---that is shown to drive robots to self- determined, individual development in a playful and obviously embodiment- related way: a dog-like robot starts playing with a barrier, eventually jumping or climbing over it; a snakebot develops coiling and jumping modes; humanoids develop climbing behaviors when fallen into a pit, or engage in wrestling-like scenarios when encountering an opponent. The book also develops guided self-organization, a new method that helps to make the playful machines fit for fulfilling tasks in the real world. The book provides two levels of presentation. Students and scientific researchers interested in the field of robotics, self-organization and dynamical systems theory may be satisfied by the in-depth mathematical analysis of the principle, the bootstrapping scenarios, and the emerging behaviors. But the book additionally comes with a robotics simulator inviting also the non- scientific reader to simply enjoy the fabulous world of playful machines by performing the numerous experiments.
Publisher: Springer Science & Business Media
ISBN: 3642202535
Category : Mathematics
Languages : en
Pages : 343
Book Description
Autonomous robots may become our closest companions in the near future. While the technology for physically building such machines is already available today, a problem lies in the generation of the behavior for such complex machines. Nature proposes a solution: young children and higher animals learn to master their complex brain-body systems by playing. Can this be an option for robots? How can a machine be playful? The book provides answers by developing a general principle---homeokinesis, the dynamical symbiosis between brain, body, and environment---that is shown to drive robots to self- determined, individual development in a playful and obviously embodiment- related way: a dog-like robot starts playing with a barrier, eventually jumping or climbing over it; a snakebot develops coiling and jumping modes; humanoids develop climbing behaviors when fallen into a pit, or engage in wrestling-like scenarios when encountering an opponent. The book also develops guided self-organization, a new method that helps to make the playful machines fit for fulfilling tasks in the real world. The book provides two levels of presentation. Students and scientific researchers interested in the field of robotics, self-organization and dynamical systems theory may be satisfied by the in-depth mathematical analysis of the principle, the bootstrapping scenarios, and the emerging behaviors. But the book additionally comes with a robotics simulator inviting also the non- scientific reader to simply enjoy the fabulous world of playful machines by performing the numerous experiments.
The Functional Role of Critical Dynamics in Neural Systems
Author: Nergis Tomen
Publisher: Springer
ISBN: 3030209652
Category : Medical
Languages : en
Pages : 301
Book Description
This book offers a timely overview of theories and methods developed by an authoritative group of researchers to understand the link between criticality and brain functioning. Cortical information processing in particular and brain function in general rely heavily on the collective dynamics of neurons and networks distributed over many brain areas. A key concept for characterizing and understanding brain dynamics is the idea that networks operate near a critical state, which offers several potential benefits for computation and information processing. However, there is still a large gap between research on criticality and understanding brain function. For example, cortical networks are not homogeneous but highly structured, they are not in a state of spontaneous activation but strongly driven by changing external stimuli, and they process information with respect to behavioral goals. So far the questions relating to how critical dynamics may support computation in this complex setting, and whether they can outperform other information processing schemes remain open. Based on the workshop “Dynamical Network States, Criticality and Cortical Function", held in March 2017 at the Hanse Institute for Advanced Studies (HWK) in Delmenhorst, Germany, the book provides readers with extensive information on these topics, as well as tools and ideas to answer the above-mentioned questions. It is meant for physicists, computational and systems neuroscientists, and biologists.
Publisher: Springer
ISBN: 3030209652
Category : Medical
Languages : en
Pages : 301
Book Description
This book offers a timely overview of theories and methods developed by an authoritative group of researchers to understand the link between criticality and brain functioning. Cortical information processing in particular and brain function in general rely heavily on the collective dynamics of neurons and networks distributed over many brain areas. A key concept for characterizing and understanding brain dynamics is the idea that networks operate near a critical state, which offers several potential benefits for computation and information processing. However, there is still a large gap between research on criticality and understanding brain function. For example, cortical networks are not homogeneous but highly structured, they are not in a state of spontaneous activation but strongly driven by changing external stimuli, and they process information with respect to behavioral goals. So far the questions relating to how critical dynamics may support computation in this complex setting, and whether they can outperform other information processing schemes remain open. Based on the workshop “Dynamical Network States, Criticality and Cortical Function", held in March 2017 at the Hanse Institute for Advanced Studies (HWK) in Delmenhorst, Germany, the book provides readers with extensive information on these topics, as well as tools and ideas to answer the above-mentioned questions. It is meant for physicists, computational and systems neuroscientists, and biologists.
An Introduction to Transfer Entropy
Author: Terry Bossomaier
Publisher: Springer
ISBN: 3319432222
Category : Computers
Languages : en
Pages : 210
Book Description
This book considers a relatively new metric in complex systems, transfer entropy, derived from a series of measurements, usually a time series. After a qualitative introduction and a chapter that explains the key ideas from statistics required to understand the text, the authors then present information theory and transfer entropy in depth. A key feature of the approach is the authors' work to show the relationship between information flow and complexity. The later chapters demonstrate information transfer in canonical systems, and applications, for example in neuroscience and in finance. The book will be of value to advanced undergraduate and graduate students and researchers in the areas of computer science, neuroscience, physics, and engineering.
Publisher: Springer
ISBN: 3319432222
Category : Computers
Languages : en
Pages : 210
Book Description
This book considers a relatively new metric in complex systems, transfer entropy, derived from a series of measurements, usually a time series. After a qualitative introduction and a chapter that explains the key ideas from statistics required to understand the text, the authors then present information theory and transfer entropy in depth. A key feature of the approach is the authors' work to show the relationship between information flow and complexity. The later chapters demonstrate information transfer in canonical systems, and applications, for example in neuroscience and in finance. The book will be of value to advanced undergraduate and graduate students and researchers in the areas of computer science, neuroscience, physics, and engineering.
The Singularity Is Near
Author: Ray Kurzweil
Publisher: Penguin
ISBN: 1101218886
Category : Social Science
Languages : en
Pages : 992
Book Description
NEW YORK TIMES BESTSELLER • Celebrated futurist Ray Kurzweil, hailed by Bill Gates as “the best person I know at predicting the future of artificial intelligence,” presents an “elaborate, smart, and persuasive” (The Boston Globe) view of the future course of human development. “Artfully envisions a breathtakingly better world.”—Los Angeles Times “Startling in scope and bravado.”—Janet Maslin, The New York Times “An important book.”—The Philadelphia Inquirer At the onset of the twenty-first century, humanity stands on the verge of the most transforming and thrilling period in its history. It will be an era in which the very nature of what it means to be human will be both enriched and challenged as our species breaks the shackles of its genetic legacy and achieves inconceivable heights of intelligence, material progress, and longevity. While the social and philosophical ramifications of these changes will be profound, and the threats they pose considerable, The Singularity Is Near presents a radical and optimistic view of the coming age that is both a dramatic culmination of centuries of technological ingenuity and a genuinely inspiring vision of our ultimate destiny.
Publisher: Penguin
ISBN: 1101218886
Category : Social Science
Languages : en
Pages : 992
Book Description
NEW YORK TIMES BESTSELLER • Celebrated futurist Ray Kurzweil, hailed by Bill Gates as “the best person I know at predicting the future of artificial intelligence,” presents an “elaborate, smart, and persuasive” (The Boston Globe) view of the future course of human development. “Artfully envisions a breathtakingly better world.”—Los Angeles Times “Startling in scope and bravado.”—Janet Maslin, The New York Times “An important book.”—The Philadelphia Inquirer At the onset of the twenty-first century, humanity stands on the verge of the most transforming and thrilling period in its history. It will be an era in which the very nature of what it means to be human will be both enriched and challenged as our species breaks the shackles of its genetic legacy and achieves inconceivable heights of intelligence, material progress, and longevity. While the social and philosophical ramifications of these changes will be profound, and the threats they pose considerable, The Singularity Is Near presents a radical and optimistic view of the coming age that is both a dramatic culmination of centuries of technological ingenuity and a genuinely inspiring vision of our ultimate destiny.
Mirror Neurons and the Evolution of Brain and Language
Author: Maxim I. Stamenov
Publisher: John Benjamins Publishing
ISBN: 9027297088
Category : Psychology
Languages : en
Pages : 402
Book Description
The emergence of language, social intelligence, and tool development are what made homo sapiens sapiens differentiate itself from all other biological species in the world. The use of language and the management of social and instrumental skills imply an awareness of intention and the consideration that one faces another individual with an attitude analogical to that of one’s own. The metaphor of ‘mirror’ aptly comes to mind.Recent investigations have shown that the human ability to ‘mirror’ other’s actions originates in the brain at a much deeper level than phenomenal awareness. A new class of neurons has been discovered in the premotor area of the monkey brain: ‘mirror neurons’. Quite remarkably, they are tuned to fire to the enaction as well as observation of specific classes of behavior: fine manual actions and actions performed by mouth. They become activated independent of the agent, be it the self or a third person whose action is observed. The activation in mirror neurons is automatic and binds the observation and enaction of some behavior by the self or by the observed other. The peculiar first-to-third-person ‘intersubjectivity’ of the performance of mirror neurons and their surprising complementarity to the functioning of strategic communicative face-to-face (first-to-second person) interaction may shed new light on the functional architecture of conscious vs. unconscious mental processes and the relationship between behavioral and communicative action in monkeys, primates, and humans. The present volume discusses the nature of mirror neurons as presented by the research team of Prof. Giacomo Rizzolatti (University of Parma), who originally discovered them, and the implications to our understanding of the evolution of brain, mind and communicative interaction in non-human primates and man.(Series B)
Publisher: John Benjamins Publishing
ISBN: 9027297088
Category : Psychology
Languages : en
Pages : 402
Book Description
The emergence of language, social intelligence, and tool development are what made homo sapiens sapiens differentiate itself from all other biological species in the world. The use of language and the management of social and instrumental skills imply an awareness of intention and the consideration that one faces another individual with an attitude analogical to that of one’s own. The metaphor of ‘mirror’ aptly comes to mind.Recent investigations have shown that the human ability to ‘mirror’ other’s actions originates in the brain at a much deeper level than phenomenal awareness. A new class of neurons has been discovered in the premotor area of the monkey brain: ‘mirror neurons’. Quite remarkably, they are tuned to fire to the enaction as well as observation of specific classes of behavior: fine manual actions and actions performed by mouth. They become activated independent of the agent, be it the self or a third person whose action is observed. The activation in mirror neurons is automatic and binds the observation and enaction of some behavior by the self or by the observed other. The peculiar first-to-third-person ‘intersubjectivity’ of the performance of mirror neurons and their surprising complementarity to the functioning of strategic communicative face-to-face (first-to-second person) interaction may shed new light on the functional architecture of conscious vs. unconscious mental processes and the relationship between behavioral and communicative action in monkeys, primates, and humans. The present volume discusses the nature of mirror neurons as presented by the research team of Prof. Giacomo Rizzolatti (University of Parma), who originally discovered them, and the implications to our understanding of the evolution of brain, mind and communicative interaction in non-human primates and man.(Series B)
Model Selection and Multimodel Inference
Author: Kenneth P. Burnham
Publisher: Springer Science & Business Media
ISBN: 0387224564
Category : Mathematics
Languages : en
Pages : 512
Book Description
A unique and comprehensive text on the philosophy of model-based data analysis and strategy for the analysis of empirical data. The book introduces information theoretic approaches and focuses critical attention on a priori modeling and the selection of a good approximating model that best represents the inference supported by the data. It contains several new approaches to estimating model selection uncertainty and incorporating selection uncertainty into estimates of precision. An array of examples is given to illustrate various technical issues. The text has been written for biologists and statisticians using models for making inferences from empirical data.
Publisher: Springer Science & Business Media
ISBN: 0387224564
Category : Mathematics
Languages : en
Pages : 512
Book Description
A unique and comprehensive text on the philosophy of model-based data analysis and strategy for the analysis of empirical data. The book introduces information theoretic approaches and focuses critical attention on a priori modeling and the selection of a good approximating model that best represents the inference supported by the data. It contains several new approaches to estimating model selection uncertainty and incorporating selection uncertainty into estimates of precision. An array of examples is given to illustrate various technical issues. The text has been written for biologists and statisticians using models for making inferences from empirical data.
Topological Geometrodynamics
Author: Matti Pitkanen
Publisher: Bentham Science Publishers
ISBN: 1681081792
Category : Science
Languages : en
Pages : 1235
Book Description
Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.
Publisher: Bentham Science Publishers
ISBN: 1681081792
Category : Science
Languages : en
Pages : 1235
Book Description
Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.