Solving Time of Least Square Systems in Sigma-Pi Unit Networks - Archive ouverte HAL
Article Dans Une Revue Neural Information Processing - Letters and Reviews Année : 2004

Solving Time of Least Square Systems in Sigma-Pi Unit Networks

Pierre Courrieu

Résumé

The solving of least square systems is a useful operation in neurocomputational modeling of learning, pattern matching, and pattern recognition. In these last two cases, the solution must be obtained on-line, thus the time required to solve a system in a plausible neural architecture is critical. This paper presents a recurrent network of Sigma-Pi neurons, whose solving time increases at most like the logarithm of the system size, and of its condition number, which provides plausible computation times for biological systems.
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Dates et versions

hal-00276480 , version 1 (29-04-2008)

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Pierre Courrieu. Solving Time of Least Square Systems in Sigma-Pi Unit Networks. Neural Information Processing - Letters and Reviews, 2004, 4 (3), pp.39-45. ⟨hal-00276480⟩

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