Title | Code Recognition and Set Selection with Neural Networks [electronic resource] / edited by Clark Jeffries |
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Imprint | Boston, MA : Birkhรคuser Boston, 1991 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-3216-2 |
Descript | online resource |
0โThe Neural Network Approach to Problem Solving -- 0.1 Defining a Neural Network -- 0.2 Neural Networks as Dynamical Systems -- 0.3 Additive and High Order Models -- 0.4 Examples -- 0.5 The Link with Neuroscience -- 1โNeural Networks as Dynamical Systems -- 1.1 General Neural Network Models -- 1.2 General Features of Neural Network Dynamics -- 1.3 Set Selection Problems -- 1.4 Infeasible Constant Trajectories -- 1.5 Another Set Selection Problem -- 1.6 Set Selection Neural Networks with Perturbations -- 1.7 Learning -- Problems and Answers -- 2โHypergraphs and Neural Networks -- 2.1 Multiproducts in Neural Network Models -- 2.2 Paths, Cycles, and Volterra Multipliers -- 2.3 The Cohen-Grossberg Function -- 2.4 The Foundation Function ? -- 2.5 The Image Product Formulation of High Order Neural Networks -- Problems and Answers -- 3โThe Memory Model -- 3.1 Dense Memory with High Order Neural Networks -- 3.2 High Order Neural Network Models -- 3.3 The Memory Model -- 3.4 Dynamics of the Memory Model -- 3.5 Modified Memory Models Using the Foundation Function -- 3.6 Comparison of the Memory Model and the Hopfield Model -- Problems and Answers -- 4โCode Recognition, Digital Communications, and General Recognition -- 4.1 Error Correction for Binary Codes -- 4.2 Additional Tests of the Memory Model as a Decoder -- 4.3 General Recognition -- 4.4 Scanning in Image Recognition -- 4.5 Commercial Neural Network Decoding -- Problems and Answers -- 5โNeural Networks as Dynamical Systems -- 5.1 A Two-Dimensional Limit Cycle -- 5.2 Wiring -- 5.3 Neural Networks with a Mixture of Limit Cycles and Constant Trajectories -- Problems and Answers -- 6โSolving Operations Research Problems with Neural Networks -- 6.1 Selecting Permutation Matrices with Neural Networks -- 6.2 Optimization in a Modified Permutation Matrix Selection Model -- 6.3 The Quadratic Assignment Problem -- Appendix AโAn Introduction to Dynamical Systems -- A.1 Elements of Two-Dimensional Dynamical Systems -- A.2 Elements of n-Dimensional Dynamical Systems -- A.3 The Relation Between Difference and Differential Equations -- A.4 The Concept of Stability -- A.5 Limit Cycles -- A.6 Lyapunov Theory -- A.7 The Linearization Theorem -- A.8 The Stability of Linear Systems -- Appendix BโSimulation of Dynamical Systems with Spreadsheets -- References -- Index of Key Words -- Epilog