Space-filling curves and Kolmogorov superposition-based neural networks

Neural Networks

Volumn 15, Issue 1, 2002, Pages 57-67

  Sprecher, David A ^a   Draghici, Sorin ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Wayne State University   (United States)

Author keywords

Hecht Nielsen neural network; Kolmogorov superpositions; Neural networks; Nomographic functions; Peano curves; Space filling curves; Superpositions

Indexed keywords

FUNCTIONS;

SUPERPOSITION;

NEURAL NETWORKS;

ARTICLE; MATHEMATICAL ANALYSIS; MEASUREMENT; NERVE CELL NETWORK; PRIORITY JOURNAL;

EID: 0036126058     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(01)00107-1     Document Type: Article

References (7)

1. Kolmogorov's mapping neural network existence theorem
2. On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition
3. On the structure of representations of continuous functions of several variables as finite sums of continuous functions of one variable
4. A numerical implementation of Kolmogorov's superpositions
5. A numerical implementation of Kolmogorov's superpositions II