Going Beyond the Data as the Patching (Sheaving) of Local Knowledge.

ABSTRACT: Consistently predicting outcomes in novel situations is colloquially called "going beyond the data," or "generalization." Going beyond the data features in spatial and non-spatial cognition, raising the question of whether such features have a common basis-a kind of systematicity of generalization. Here, we conceptualize this ability as the patching of local knowledge to obtain non-local (global) information. Tracking the passage from local to global properties is the purview of sheaf theory, a branch of mathematics at the nexus of algebra and geometry/topology. Two cognitive domains are examined: (1) learning cue-target patterns that conform to an underlying algebraic rule, and (2) visual attention requiring the integration of space-based feature maps. In both cases, going beyond the data

SUBMITTER: Phillips S 

PROVIDER: S-EPMC6189483 | biostudies-literature | 2018

REPOSITORIES: biostudies-literature