Topology and Word Spaces : Mapper and Betti 0 Barcodes Applied to Random Indexing Word-Spaces - a First Survey

This paper will introduce analytic methods for linguisticdata that is represented in forms of word-spaces constructedfrom the random indexing model. The paper will presenttwo different methods; a visualisation method derived froman algorithm called Mapper, and a word-space propertymeasure derived from Betti numbers. The methods will beexplained and thereafter implemented in order to demonstratetheir behaviour with a smaller set of linguistic data.The implementations will constitute as a foundation for futureresearch.