By Philipp Wolfrum, Christoph von der Malsburg (auth.), Joaquim Marques de Sá, Luís A. Alexandre, Włodzisław Duch, Danilo Mandic (eds.)
This publication is a part of a two-volume set that constitutes the refereed court cases of the seventeenth overseas convention on man made Neural Networks, ICANN 2007, held in Porto, Portugal, in September 2007. The 197 revised complete papers offered have been rigorously reviewed and chosen from 376 submissions. This moment quantity comprises ninety nine contributions regarding computational neuroscience, neurocognitive reports, functions in biomedicine and bioinformatics, trend reputation, info clustering, self-organization, textual content mining and web functions, sign and occasions sequence processing, imaginative and prescient and photo processing, robotics, keep an eye on, genuine international functions, self reliant part research, graphs, emotion and a spotlight: empirical findings and neural versions, in addition to knowing and growing cognitive systems.
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Extra resources for Artificial Neural Networks – ICANN 2007: 17th International Conference, Porto, Portugal, September 9-13, 2007, Proceedings, Part II
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Setting m μ = ∑ wk δ k (4) k =1 we have ⎛ ⎞ ⎜⌡ ⎝H ⎟ ⎠ ⎛ ⎞ ⌠ ⌠ ⎛ ⎞ ⎛ ⎞ σ ⎜ ⎮ h dμ ⎟ = σ ⎜ ⎮ h ( x, y, z ) ⎜ ∑ wk dδ k ⎟ ⎟ = σ ⎜ ∑ wk h( xk , yk , zk ) ⎟ = v ⎜ ⎟ ⎜ ⎟ m ⌡ ⎝H ⎝ k =1 ⎠ ⎠ m ⎝ k =1 ⎠ (5) Thus, a PE with the measure μ performs the same calculation as the single-layer neural network. The biological meaning of the measure μ defined above is a mathematical model of a neuron with m points (idealized synapses) each with sensitivity wk and located at the spatial positions (xk, yk, z k ) on the dendritic surface.