Patterns Based on Multiple Interacting Partial Orders

Our aim here is to outline a theory of patterns where the patterns are based on multiple interacting strict partial orders. A detailed paper on this subject is in preparation.
For instance, a pattern extracted from a video may have as its elements some picture elements occurring in individual frames of the video. There are four natural strict partial orders relating those elements: elements may be ordered by the ordering of the frames in which they occur, and elements within a single frame may be above one another, to the left of one another, and included within one another. Other examples come from parsing text, where linguistic entities in a parse tree may precede one another or they may contain one another.

By: Frank J. Oles

Published in: RC22770 in 2003


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