Infinite-Dimensional Multilayer Perceptrons  

Oleh:

Kuzuoglu, M. ; Leblebicioglu, K.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: IEEE Transactions on Neural Networks vol. 7 no. 4 (1996), page 889-896.
Topik: multilayer networks; infinte; multilayer perceptrons

Ketersediaan

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

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Isi artikel

In this paper a new multilayer perceptron (MLP) structure is introduced to simulate nonlinear transformations on infinite - dimensional function spaces. This extension is achieved by replacing discrete neurons by a continuum of neurons, summations by integrations and weight matrices by kernels of integral transforms. Variational techniques have been employed for the analysis and training of the infinite - dimensional MLP (IDMLP). The training problem of IDMLP is solved by the Lagrange multiplier technique yielding the coupled state and adjoint state integro - difference equations. A steepest descent - like algorithm is used to construct the required kernel and threshold functions. Finally, some results are presented to show the performance of the new IDMLP.

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