9. A computer-based text processing method, comprising: (a) providing, using a processor, a first abstract mathematical vector space and a second abstract mathematical vector space, wherein each document of a first collection of documents is represented in the first abstract mathematical vector space and each document of a second collection of documents is represented in the second abstract mathematical vector space; and (b) merging the first abstract mathematical vector space with the second abstract mathematical vector space to produce a merged abstract mathematical vector space that is stored in an electronic format accessible to a user, wherein the merging comprises at least one of (i) averaging a representation of a first document in the first abstract mathematical vector space with a representation of the first document in the second abstract mathematical vector space to generate a new representation of the first document in the merged abstract mathematical vector space, and (ii) averaging a representation of a first term included in the first abstract mathematical vector space with a representation of the first term in the second abstract mathematical vector space to generate a new representation of the first term in the merged abstract mathematical vector space.
9. A computer-based text processing method, comprising: (a) providing, using a processor, a first abstract mathematical vector space and a second abstract mathematical vector space, wherein each document of a first collection of documents is represented in the first abstract mathematical vector space and each document of a second collection of documents is represented in the second abstract mathematical vector space; and (b) merging the first abstract mathematical vector space with the second abstract mathematical vector space to produce a merged abstract mathematical vector space that is stored in an electronic format accessible to a user, wherein the merging comprises at least one of (i) averaging a representation of a first document in the first abstract mathematical vector space with a representation of the first document in the second abstract mathematical vector space to generate a new representation of the first document in the merged abstract mathematical vector space, and (ii) averaging a representation of a first term included in the first abstract mathematical vector space with a representation of the first term in the second abstract mathematical vector space to generate a new representation of the first term in the merged abstract mathematical vector space. 12. The computer-based method of claim 9 , wherein step (a) comprises: receiving a first abstract mathematical vector space that is based on a first collection of documents, wherein the first abstract mathematical vector space comprises a perturbed abstract mathematical vector space; and receiving a second abstract mathematical vector space that is based on a second collection of documents, wherein the second abstract mathematical vector space comprises a perturbed abstract mathematical vector space.