By Nikolaev N., Iba H.

ISBN-10: 0306467623

ISBN-13: 9780306467622

ISBN-10: 0387250670

ISBN-13: 9780387250670

ISBN-10: 0387312404

ISBN-13: 9780387312408

ISBN-10: 0792381351

ISBN-13: 9780792381358

Adaptive studying of Polynomial Networks provides theoretical and sensible wisdom for the improvement of algorithms that infer linear and non-linear multivariate types, supplying a technique for inductive studying of polynomial neural community types (PNN) from facts. The empirical investigations designated the following show that PNN types developed by way of genetic programming and enhanced by way of backpropagation are profitable whilst fixing real-world tasks.The textual content emphasizes the version id approach and offers * a shift in concentration from the traditional linear versions towards hugely nonlinear versions that may be inferred by means of modern studying ways, * substitute probabilistic seek algorithms that become aware of the version structure and neural community education options to discover exact polynomial weights, * a way of gaining knowledge of polynomial types for time-series prediction, and * an exploration of the components of synthetic intelligence, computer studying, evolutionary computation and neural networks, masking definitions of the elemental inductive initiatives, offering uncomplicated ways for addressing those projects, introducing the basics of genetic programming, reviewing the mistake derivatives for backpropagation education, and explaining the fundamentals of Bayesian learning.This quantity is an important reference for researchers and practitioners drawn to the fields of evolutionary computation, synthetic neural networks and Bayesian inference, and also will entice postgraduate and complicated undergraduate scholars of genetic programming. Readers will develop their talents in growing either effective version representations and studying operators that successfully pattern the hunt house, navigating the quest procedure during the layout of aim health features, and interpreting the quest functionality of the evolutionary process.

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**Additional resources for Adaptive Learning of Polynomial Networks: Genetic Programming, Backpropagation and Bayesian Methods**

**Example text**

The Tree-like Representation. A genetic program has a tree structure. In it a node is below another node if the other node lies on the path from the root to this node. The nodes below a particular node are a subtree. Every node has a parent above it and children nodes under it. Nodes without children are leaves or terminals. The nodes that have children are nonterminals or functional nodes. PNN are represented with binary trees in which every internal functional node has a left child and a right child.

The design of the fitness function can tune the landscape and mitigate the search difficulties. Fitness functions, fitness landscapes and their measures are investigated in separate chapters (Chapters 4 and 5). A distinguishing feature of IGP is that its search mechanisms are mutually coordinated so as to avoid degenerated search. The size of the genetic programs serves as a common coordinating parameter. Sizedependant crossover, size-dependant mutation, and selection operators (that also depend on the tree size through their fitnesses) are designed.

The Sigma-Pi networks have polynomials as net functions in the summation units which are passed through sigmoids to feed-forward the nodes in the next layer. These networks usually implement only a subset from the possible monomials so as to avoid the curse of dimensionality. Their distinguishing characteristics are the dynamic weight pruning of redundant units while the network undergoes training, and the use of different learning rates for each monomial in the update rule. , 1997] are high-order polynomial networks of summation and multiphcation units.

### Adaptive Learning of Polynomial Networks: Genetic Programming, Backpropagation and Bayesian Methods by Nikolaev N., Iba H.

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