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2009, ISBN 9781605662145
"This book covers the current state-of-the-art theories and applications of neural networks with high-dimensional parameters"--Provided by publisher. 
Neural networks (Computer science) | Numbers, Complex | Biology, life sciences
eBook
IEEE Transactions on Neural Networks and Learning Systems, ISSN 2162-237X, 10/2017, Volume 28, Issue 10, pp. 2282 - 2293
Journal Article
Neural Networks, ISSN 0893-6080, 07/2013, Volume 43, pp. 1 - 7
Most of local minima caused by the hierarchical structure can be resolved by extending the real-valued neural network to complex numbers. It was proved in 2000... 
Local minimum | Redundancy | Saddle point | Singular point | Complex number | ALGORITHM | NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | BACKPROPAGATION | UNIQUENESS | Signal Processing, Computer-Assisted | Learning - physiology | Algorithms | Neurons - physiology | Neural Networks (Computer) | Neural networks
Journal Article
Neural Computation, ISSN 0899-7667, 05/2015, Volume 27, Issue 5, pp. 1120 - 1141
This letter investigates the characteristics of the complex-valued neuron model with parameters represented by polar coordinates (called polar variable... 
NETWORK | SINGULARITIES | NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Learning | Errors | Algorithms | Computer simulation | Neurons | Dynamics | Polar coordinates | Error functions | Mathematical models
Journal Article
Neural Computation, ISSN 1530-888X, 01/2004, Volume 16, Issue 1, pp. 73 - 97
This letter presents some results of an analysis on the decision boundaries of complex-valued neural networks whose weights, threshold values, input and output... 
NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Algorithms | Artificial Intelligence | Decision Support Techniques | Neural Networks (Computer)
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2016, Volume 9950, pp. 389 - 396
Conference Proceeding
Journal Article
Neural Networks, ISSN 0893-6080, 2003, Volume 16, Issue 8, pp. 1101 - 1105
Journal Article
Procedia Computer Science, ISSN 1877-0509, 2013, Volume 22, pp. 269 - 275
A critical point is a point on which the derivatives of an error function are all zero. It has been shown in the literatures that the critical points caused by... 
critical point | redundancy | hyperbolic number | quaternion | complex number | singular point | Hyperbolic number | Critical point | Quaternion | Redundancy | Singular point | Complex number
Journal Article
IEEE Transactions on Neural Networks and Learning Systems, ISSN 2162-237X, 12/2015, Volume 26, Issue 12, pp. 3287 - 3292
Journal Article
Neural Networks, ISSN 0893-6080, 1997, Volume 10, Issue 8, pp. 1391 - 1415
This paper presents a complex-valued version of the back-propagation algorithm (called `Complex-BP'), which can be applied to multi-layered neural networks... 
Learning | Pattern transformation | Figure transformation | Neural networks | Back-propagation | Pattern classification | Convergence | Complex number | pattern classification | convergence | figure transformation | complex number | neural networks | learning | back-propagation | pattern transformation | NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Applied Mathematics, ISSN 2152-7385, 2013, Volume 4, Issue 12, pp. 1616 - 1620
Journal Article
International Journal of Neural Systems, ISSN 0129-0657, 04/2009, Volume 19, Issue 2, p. 137
Journal Article
International Journal of Organizational and Collective Intelligence, ISSN 1947-9344, 04/2012, Volume 3, Issue 2, pp. 81 - 116
The ability of the 1-n-1 complex-valued neural network to learn 2D affine transformations has been applied to the estimation of optical flows and the... 
Affine transformations
Journal Article
SCIENTIFIC REPORTS, ISSN 2045-2322, 10/2019, Volume 9, Issue 1, pp. 14663 - 12
Journal Article
International Journal of Neural Systems, ISSN 0129-0657, 04/2008, Volume 18, Issue 2, pp. 123 - 134
Journal Article
Dental Materials Journal, ISSN 0287-4547, 2017
The purpose of this study was to evaluate polymerization shrinkage and other physical properties of newly-developed cavity base materials for bulk filling... 
Flowable resin | Low polymerization shrinkage monomer | Bulk fill resin | Polymerization shrinkage | Archimedes’ principle
Journal Article
Neural Computation, ISSN 0899-7667, 05/2015, Volume 27, Issue 5, p. 1120
  This letter investigates the characteristics of the complex-valued neuron model with parameters represented by polar coordinates (called polar variable... 
Learning | Neurosciences | Algorithms | Simulation | Neurons
Journal Article
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