Matching versus Retrieval Tasks: This distinction is captured in the Matrix Model by the nature of the tensor that results once all cues have been applied. If the resultant tensor is a scalar we are dealing with a matching process. This scalar can be compared against criteria to determine a yes/no or rating value. If the resultant tensor is a vector then we have a retrieval process. The vector can be compared against all item vectors with the item being the output of the process.
Episodic versus Semantic Tasks: In episodic tasks, a reinstated context vector is used as a cue. In semantic (generalized) tasks, a vector which is equally similar to all contexts is used so as to average over all experiences with the cue items (typically, this is a vector with all components set to 1/n where n is the dimension of the vector).