Communications of the ACM
Multilayer feedforward networks are universal approximators
Neural Networks
Review of neural networks for speech recognition
Neural Computation
What size net gives valid generalization?
Neural Computation
Recursive distributed representations
Artificial Intelligence - On connectionist symbol processing
Artificial Intelligence - On connectionist symbol processing
Analog computation via neural networks
Theoretical Computer Science
Computability with low-dimensional dynamical systems
Theoretical Computer Science
Extraction of rules from discrete-time recurrent neural networks
Neural Networks
The dynamic universality of sigmoidal neural networks
Information and Computation
Constructing deterministic finite-state automata in recurrent neural networks
Journal of the ACM (JACM)
Back-propagation is not efficient
Neural Networks
On the effect of analog noise in discrete-time analog computations
Neural Computation
Learning with Recurrent Neural Networks
Learning with Recurrent Neural Networks
Symbolic Interpretation of Artificial Neural Networks
IEEE Transactions on Knowledge and Data Engineering
Simple Strategies to Encode Tree Automata in Sigmoid Recursive Neural Networks
IEEE Transactions on Knowledge and Data Engineering
Generalization Ability of Folding Networks
IEEE Transactions on Knowledge and Data Engineering
On the Generalization Ability of Recurrent Networks
ICANN '01 Proceedings of the International Conference on Artificial Neural Networks
Neural Networks for Adaptive Processing of Structured Data
ICANN '01 Proceedings of the International Conference on Artificial Neural Networks
On Approximate Learning by Multi-layered Feedforward Circuits
ALT '00 Proceedings of the 11th International Conference on Algorithmic Learning Theory
A Competitive-Layer Model for Feature Binding and Sensory Segmentation
Neural Computation
Architectural bias in recurrent neural networks: fractal analysis
Neural Computation
Recursive self-organizing network models
Neural Networks - 2004 Special issue: New developments in self-organizing systems
Theoretical Computer Science
Mathematics and Computers in Simulation
UC'06 Proceedings of the 5th international conference on Unconventional Computation
Perspectives of self-adapted self-organizing clustering in organic computing
BioADIT'06 Proceedings of the Second international conference on Biologically Inspired Approaches to Advanced Information Technology
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We consider recurrent neural networks which deal with symbolic formulas, terms, or, generally speaking, tree-structured data. Approaches like the recursive autoassociative memory, discrete-time recurrent networks, folding networks, tensor construction, holographic reduced representations, and recursive reduced descriptions fall into this category. They share the basic dynamics of how structured data are processed: the approaches recursively encode symbolic data into a connectionistic representation or decode symbolic data from a connectionistic representation by means of a simple neural function. In this paper, we give an overview of the ability of neural networks with these dynamics to encode and decode tree-structured symbolic data. The correlated tasks, approximating and learning mappings where the input domain or the output domain may consist of structured symbolic data, are examined as well.