L / Sup p / Approximation of Sigma-Pi Neural Networks  

Oleh:

Luo, Yue-Hu ; Shen, Shi-Yi

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: IEEE Transactions on Neural Networks vol. 11 no. 6 (2000), page 1485-1489.
Topik: neural network; l / sup p / approximation; sigma - pi; neural network

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: II36.4 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

Lihat Detail Induk

Isi artikel

A feedforward Sigma - Pi neural network with a single hidden layer of m neurons is given by /sup m // spl Sigma // sub j = 1/ c / sub j / g (n / spl Pi // sub k = 1/ x / sub k/ - / spl theta // sub k //sup j/// spl lambda // sub k// sup j /) where c / sub j / , / spl theta // sub k // sup j / , / spl lambda // sub k // spl isin / R. We investigate the approximation of arbitrary functions f : R / sup n // spl rarr / R by a Sigma - Pi neural network in the L / sup p / norm. An L / sup p / locally integrable function g (t) can approximate any given function, if and only if g (t) can not be written in the form / spl Sigma // sub j = 1 // sup n // spl Sigma // sub k = 0 // sup m // spl alpha // sub jk / (ln | t| ) / sup j - 1 / t / sub k/.

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