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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433

Abstract

CARDO, Romina  and  CORVALAN, Alvaro. Heuristics for solving the multiple problem Identification of the responses of brain and artificial neural networks in the presence of usual and unusual stimuli by means of kalman-type filters. Rev. Mat [online]. 2011, vol.18, n.1, pp.49-62. ISSN 1409-2433.

We consider the problem of obtaining information about the recognition of logical  inconsistencies with already imprinted patterns of a subnetwork of a neural network,  both cerebral and artificially designed, by means of the measurement of the event  related potentials (ERP). One of the subsequent aims, it is the detection of logical inconsistencies of the speech, not purely semantic, but of the recognition of not  coherent phrases with a story line. The possibility of the use, with this goal, of ERP  obtained of superficially located electrodes on the scalp would be interesting: relevant  conclusions would be obtained from a non-invasive method and by means of  equipment that is relatively economic, easily transportable and installable. The alternative that we propose is the utilization of Kalman type filters (with necessary  modifications). The idea is to deal with the evoked response as a not accessible  variable, with a relation (non linear, but locally linealizable) respect to the measurable  variable. We study, as guide example, the evolution of a variable that measures, in a  neural network of type Hopfield attractors, the adjustment between the conditions of a  subnetwork associated with the recognition of some patterns, after a quantity prearranged of iterations.

Keywords : event related potentials; signal processing; Kalman filters; neural networks; cognitive neuroscience.

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