The authors present a theory of stochastic interactive parallel processing with special emphasis on channel interactions and their relation to system capacity. The approach is based both on linear systems theory augmented with stochastic elements and decisional operators and on a metatheory of parallel channels' dependencies that incorporates standard independent and coactive parallel models as special cases. The metatheory is applied to OR and AND experimental paradigms, and the authors establish new theorems relating response time performance in these designs to earlier and novel issues. One notable outcome is the remarkable processing efficiency associated with linear parallel-channel systems that include mutually positive interactions. The results may offer insight into perceptual and cognitive configural-holistic processing systems.When a person views a work of art in all its complexity, it seems as though all dimensions-color, form, arrangement, perspective, and sharpness of edges-are acting in league. But are they? The antithetical notions of independence and dependence have long played a role in the philosophy and science of human perception and cognition. Whether the focus is on the internal representations that support psychological experience or on the channels or systems that work with those representations, eventually the implications of assumptions about independence or dependence need to be considered.
1It is natural to contrast the general notion of independence with ideas such as a holism or a gestalt. However, there have been very few attempts to develop explicit, systematic, quantitative definitions, taxonomies, and explanations of holistic cognitive processes. The work presented here is an attempt to provide these definitions, taxonomies, and explanations, by way of (a) an emphasis on the general characteristics of information processing and (b) a concern with real-time interactions in specific (parallel) informationprocessing architectures.It is the case that certain interactive architectures have been shown to be capable of simulating specific gestaltlike phenomena (e.g., Biederman & Kalocsai, 1998;Cottrell, Dailey, Padgett, & Adolphs, 2001;Grossberg, 1991b;Mordkoff & Yantis, 1991;Rumelhart & McClelland, 1981. Although such studies provide sufficiency arguments, it is not clear what highly simple (in a sense to be defined precisely) and interactive systems can do when compared, within a common framework, with noninteractive systems.Nevertheless, the great preponderance of quantitativecomputational accounts of processing multidimensional stimuli are based on the assumption of independence among channels or items (e.g