Weakly Connected Neural Networks
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Author | : Frank C. Hoppensteadt |
Publisher | : Springer Science & Business Media |
Total Pages | : 404 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461218284 |
Devoted to local and global analysis of weakly connected systems with applications to neurosciences, this book uses bifurcation theory and canonical models as the major tools of analysis. It presents a systematic and well motivated development of both weakly connected system theory and mathematical neuroscience, addressing bifurcations in neuron and brain dynamics, synaptic organisations of the brain, and the nature of neural codes. The authors present classical results together with the most recent developments in the field, making this a useful reference for researchers and graduate students in various branches of mathematical neuroscience.
Author | : Jerzy Pejas |
Publisher | : Springer Science & Business Media |
Total Pages | : 455 |
Release | : 2007-09-29 |
Genre | : Computers |
ISBN | : 0387731377 |
This book contains a selection of the best papers given at an international conference on advanced computer systems. The Advanced Computer Systems Conference was held in October 2006, in Miedzyzdroje, Poland. The book is organized into four topical areas: Artificial Intelligence; Computer Security and Safety; Image Analysis, Graphics and Biometrics; and Computer Simulation and Data Analysis.
Author | : Michael A. Arbib |
Publisher | : MIT Press |
Total Pages | : 1328 |
Release | : 2003 |
Genre | : Neural circuitry |
ISBN | : 0262011972 |
This second edition presents the enormous progress made in recent years in the many subfields related to the two great questions : how does the brain work? and, How can we build intelligent machines? This second edition greatly increases the coverage of models of fundamental neurobiology, cognitive neuroscience, and neural network approaches to language. (Midwest).
Author | : National Aeronautics and Space Adm Nasa |
Publisher | : Independently Published |
Total Pages | : 38 |
Release | : 2018-12-31 |
Genre | : |
ISBN | : 9781792747328 |
Patterns over (-1,0,1) define, by their outer products, partially connected neural networks, consisting of internally strongly connected, externally weakly connected subnetworks. The connectivity patterns may have highly organized structures, such as lattices and fractal trees or nests. Subpatterns over (-1,1) define the subcodes stored in the subnetwork, that agree in their common bits. It is first shown that the code words are locally stable stares of the network, provided that each of the subcodes consists of mutually orthogonal words or of, at most, two words. Then it is shown that if each of the subcodes consists of two orthogonal words, the code words are the unique ground states (absolute minima) of the Hamiltonian associated with the network. The regions of attraction associated with the code words are shown to grow with the number of subnetworks sharing each of the neurons. Depending on the particular network architecture, the code sizes of partially connected networks can be vastly greater than those of fully connected ones and their error correction capabilities can be significantly greater than those of the disconnected subnetworks. The codes associated with lattice-structured and hierarchical networks are discussed in some detail. Baram, Yoram Ames Research Center NASA-TM-102239, A-89256, NAS 1.15:102239 RTOP 505-67-21...
Author | : Vladimir G Ivancevic |
Publisher | : World Scientific |
Total Pages | : 1036 |
Release | : 2005-11-29 |
Genre | : Mathematics |
ISBN | : 981447911X |
This comprehensive volume is a graduate-level text in human biodynamics, written in the unified categorical language of modern differential geometry and topology. Combining mathematics, physics and robotics with human physiology, this is the first book that describes all levels of human biodynamics, from musculo-skeletal mechanics to the higher brain functions. The book develops and uses a variety of research methods, ranging from chaos theory and Haken's synergetics, through quantum mechanics, to nonlinear control and artificial intelligence, to provide the means to understand, predict and control the behavior of human-like systems in their full neuro-musculo-skeletal complexity. The applications of this unique scientific methodology range from prediction of human neuro-musculo-skeletal injuries to brain-like control of humanoid robots.
Author | : B. Fiedler |
Publisher | : Gulf Professional Publishing |
Total Pages | : 1099 |
Release | : 2002-02-21 |
Genre | : Science |
ISBN | : 0080532845 |
This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.
Author | : Rajesh Pahwa |
Publisher | : CRC Press |
Total Pages | : 520 |
Release | : 2007-03-23 |
Genre | : Medical |
ISBN | : 1420019996 |
This blue-ribbon guide has long prevailed as one of the leading resources on Parkinson's Disease (PD). Fully updated with practical and engaging chapters on pathology, neurochemistry, etiology, and breakthrough research, this source spans every essential topic related to the identification, assessment, and treatment of PD. Reflecting the many advan
Author | : IEEE Neural Networks Council |
Publisher | : Institute of Electrical & Electronics Engineers(IEEE) |
Total Pages | : 684 |
Release | : 1997 |
Genre | : Computers |
ISBN | : |
Instrumentation thrusts and achievements are reported in the field of simulation of aerospace dynamics. Quantified mapping techniques and measurements in research in unsteady fluid mechanics phenomena are described and the frontiers of speed and flight simulation are extended."
Author | : |
Publisher | : Editora E-papers |
Total Pages | : 392 |
Release | : |
Genre | : |
ISBN | : 8587922874 |
Author | : |
Publisher | : |
Total Pages | : 24 |
Release | : 1989 |
Genre | : |
ISBN | : |