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On the Computational Power of Neural Nets

Paper summary

Proves that finite recurrent networks with rational coefficients and suitable sigmoidal dynamics can simulate Turing machines. Explicit constructions and complexity analysis show computational power without higher-order multiplicative networks.

Relevance to the project

Supports the expressiveness of a simple recurrent substrate. Distinguish rational parameters with unbounded state precision from the project's finite floating-point representation.

ComputabilityNeural network expressivenessSequence modeling

Computability constructions do not imply efficient discovery or robust finite-precision execution.

Source record

Reference ID
doi-10-1006-jcss-1995-1013
Archived version
Author-hosted scan of published JCSS 1995 article, pages 132–150
Summary provenance
reference-library/papers/doi-10-1006-jcss-1995-1013/metadata.json · summary
Review status
initial orientation summary; not a critical full-paper review
Reading scope
Visual inspection of scan PDF page 1 (abstract and opening text) and last page (references); no searchable layer. Initial orientation only, not a full proof or methods review.