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Additional info for A branch-and-cut method for 0-1 mixed convex programming

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So far the discussion may have implied that we would have a sharp division between a percept side and a response side in the structure. This is certainly not the case. There will be a mixture of percept and response components to various degrees in the structure. We will for that purpose Organization of Architectures for Cognitive Vision Systems 45 define the notion of percept equivalent and response equivalent. A response equivalent signal may emerge from a fairly complex network structure, which itself comprises a combination of percept and response components to various degree.

If detection is the task, then the winner after step 4, if it matches the target, will suffice and the remaining steps are not needed. Thus simple detection in this framework requires only a single feed-forward pass. If a localization task is required, then all steps up to 7 are required because, as argued in below, the top-down WTA is needed to isolate the stimulus and remove the signal interference from nearby stimuli. This clearly takes more time to accomplish. If recognition is the task, then all steps, and perhaps several iterations of the procedure, are needed in order to provide a complete description.

For example, in Feature Integration Theory (Treisman and Gelade 1980 [454]), location is a feature because it assumes it is faithfully represented in a master map of locations. But this cannot be true; location precision changes layer to layer in any pyramid representation. In the cortex, it is not accurate in a Euclidean sense almost anywhere, although the topography is qualitatively preserved (Felleman & Van Essen 1991 [118]). The wiring pattern matters in order to get the right image bits to the right neurons.

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