Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorGoles, Eric. author
TitleNeural and Automata Networks [electronic resource] : Dynamical Behavior and Applications / by Eric Goles, Servet Martรญnez
ImprintDordrecht : Springer Netherlands, 1990
Connect tohttp://dx.doi.org/10.1007/978-94-009-0529-0
Descript 264 p. online resource

CONTENT

1. Automata Networks -- 1.1. Introduction -- 1.2. Definitions Regarding Automata Networks -- 1.3. Cellular Automata -- 1.4. Complexity Results for Automata Networks -- 1.5. Neural Networks -- 1.6. Examples of Automata Networks -- 2. Algebraic Invariants on Neural Networks -- 2.1. Introduction -- 2.2. K-Chains in 0-1 Periodic Sequences -- 2.3. Covariance in Time -- 2.4. Algebraic Invariants of Synchronous Iteration on Neural Networks -- 2.5. Algebraic Invariants of Sequential Iteration on Neural Networks -- 2.6. Block Sequential Iteration on Neural Networks -- 2.7. Iteration with Memory -- 2.8. Synchronous Iteration on Majority Networks -- 3. Lyapunov Functionals Associated to Neural Networks -- 3.1. Introduction -- 3.2. Synchronous Iteration -- 3.3. Sequential Iteration -- 3.4. Tie Rules for Neural Networks -- 3.5. Antisymmetrical Neural Networks -- 3.6. A Class of Symmetric Networks with Exponential Transient Length for Synchronous Iteration -- 3.7. Exponential Transient Classes for Sequential Iteration -- 4. Uniform One and Two Dimensional Neural Networks -- 4.1. Introduction -- 4.2. One-Dimensional Majority Automata -- 4.3. Two-Dimensional Majority Cellular Automata -- 4.4. Non-Symmetric One-Dimensional Bounded Neural Networks -- 4.5. Two-Dimensional Bounded Neural Networks -- 5. Continuous and Cyclically Monotone Networks -- 5.1. Introduction -- 5.2. Positive Networks -- 5.3. Multithreshold Networks -- 5.4. Approximation of Continuous Networks by Multithreshold Networks -- 5.5. Cyclically Monotone Networks -- 5.6. Positive Definite Interactions. The Maximization Problem -- 5.7. Sequential Iteration for Decreasing Real Functions and Optimization Problems -- 5.8. A Generalized Dynamics -- 5.9. Chain-Symmetric Matrices -- 6. Applications on Thermodynamic Limits on the Bethe Lattice -- 6.1. Introduction -- 6.2. The Bethe Lattice -- 6.3. The Hamiltonian -- 6.4. Thermodynamic Limits of Gibbs Ensembles -- 6.5. Evolution Equations -- 6.6. The One-Site Distribution of the Thermodynamic Limits -- 6.7. Distribution of the Thermodynamic Limits -- 6.8.Period ? 2 Limit Orbits of Some Non Linear Dynamics on $$ \mathbb{R}_{ + }̂{s} $$ -- 7. Potts Automata -- 7.1. The Potts Model -- 7.2. Generalized Potts Hamiltonians and Compatible Rules -- 7.3. The Complexity of Synchronous Iteration on Compatible Rules -- 7.4. Solvable Classes for the Synchronous Update -- References -- Author and Subject Index


Computer science Computers Computer science -- Mathematics Statistical physics Dynamical systems Electrical engineering Computer Science Discrete Mathematics in Computer Science Theory of Computation Statistical Physics Dynamical Systems and Complexity Electrical Engineering



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram