Algebraic Expression of Subjective Spatial and Temporal Patterns
This work provides a mathematical framework for analyzing subjective patterns in learning machines, but appears incremental as it builds directly on prior research.
The authors extended their previous work on algebraic expressions for subjective spatial patterns in universal learning machines to include temporal patterns, establishing algebraic expressions for both spatial and temporal subjective patterns.
Universal learning machine is a theory trying to study machine learning from mathematical point of view. The outside world is reflected inside an universal learning machine according to pattern of incoming data. This is subjective pattern of learning machine. In [2,4], we discussed subjective spatial pattern, and established a powerful tool -- X-form, which is an algebraic expression for subjective spatial pattern. However, as the initial stage of study, there we only discussed spatial pattern. Here, we will discuss spatial and temporal patterns, and algebraic expression for them.