In- and out-of-table operations

In Lace there are a number of operations that seem redundant. Why is there simulate and draw; predict and impute? Why is there surprisal when one can simple compute -logp? The answer is that the are in-table operations and out-of-table (or hypothetical) operations. In-table operations use the probability distribution at a certain cell in the PCC table, while out-of-table operations do not take table location, and thus category and view assignments into account. Hypothetical operations must marginalize over assignments.

Here is a table listing in-table and hypothetical operations.

Draw random datadrawsimulate
Compute likelihood(-) surprisallogp
Find argmax of a likelihoodimputepredict