Task processing: converting data exploration tasks to algebraic operations on the embedding space by following task-specific conversion templates. Some important tasks and their conversion templates are discussed in Section SECREF5.

Query processing: executing semantic query on the embedding space and return results. Note that the algebraic operations on embedding vectors are linear and can be performed in parallel. Therefore, the semantic query is efficient. 
 Question: What data exploration is supported by the analysis of these semantic structures?
Task processing: converting data exploration tasks to algebraic operations on the embedding space Query processing: executing semantic query on the embedding space and return results