论文信息 - Implications and applications of Kolmogorov's superposition theorem - 字舞流文

Implications and applications of Kolmogorov's superposition theorem

Applications of Kolmogorov's superposition theorem to non-linear circuit and system theory, statistical pattern recognition, and image and multidimensional signal processing are presented and discussed.

R. D. Figueiredo

[1] M. Rosenblatt. Remarks on Some Nonparametric Estimates of a Density Function , 1956 .

[2] David A. Sprecher,et al. A representation theorem for continuous functions of several variables , 1965 .

[3] D. Sprecher. On the structure of continuous functions of several variables , 1965 .

[4] John W. Sammon,et al. A Nonlinear Mapping for Data Structure Analysis , 1969, IEEE Transactions on Computers.

[5] David A. Sprecher,et al. An improvement in the superposition theorem of Kolmogorov , 1972 .

[6] L. V. Zyla,et al. Nonlinear System Identification Based on a Fock Space Framework. , 1979 .

[7] Rui J. P. de Figueiredo,et al. A best approximation framework and implementation for simulation of large-scale nonlinear systems , 1980 .