Most signals reaching the mammalian brain are noisy, weak, and degraded so that the corresponding data that are carried by the signals are themselves incomplete and overlapping, and, more likely that not, the product ...
Most signals reaching the mammalian brain are noisy, weak, and degraded so that the corresponding data that are carried by the signals are themselves incomplete and overlapping, and, more likely that not, the product of convolution with nonlinear sources. The attempt to deconvolve these signals so as extracts the maximum meaningful information and make the best possible decisions usually leads to problems that are mathematically known as ill-possible and ill-conditioned. That is, there may exist insufficient information from which to draw unique conclusions, and simultaneously, small uncertainties within the datasets may lead to mutual inconsistencies within the competing hypotheses. How the brain processes signals and attemts to learn from them is a mystery. Under the best of circumstances, the brain can usually perform well when solving problems involving deductive inferencing. However, when attempting to form decisions from incomplete or ambigous pieces of information, if often falls prey to what is referred to as "cognitive illusions". This article illustrates the potential for powerful artificial intelligence (AI) techniques when used in the analysis not only of the formidable problems that now exist in the NASA earth science programs, but also those to be encountered in the future Mission to Planet Earth (MTPE) and Earth Observing System (EOS) programs. These techniques, based on the logical and probabilistic reasoning aspects of plausible inference, stongly emphasize the synergetic relation between data and information. In particular, we address a complex, nonlinear system of under-determined and ill-conditioned equations that arise from the conditions of insufficient and overlapping data. The specific problem involves the estimation of the earth's vertical atmospheric ozone profile over 92 layers from 12 solar backscattered ultraviolet (SBUV) radiation data values. To accomplish this, we employ a given atmospheric radiative transfer function to transform a k
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