ZJU_Assignment2 - Data Mining Zhejiang University...

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Data Mining Zhejiang University, Fall/Winter 2016/2017 Martin Ester TA: Xin Shen Assignment 2 Total marks: 100 Due date: November 8, 2016 Assignment 2.1 30 marks The DBSCAN algorithm is based on the following Theorem of density-based clusters: For any core object o in cluster C , the set of objects density-reachable from o is equal to C . Prove this Theorem. Assignment 2.2 20 marks Consider the DBSCAN clustering algorithm. (a) As presented in class, the DBSCAN algorithm calls a routine ExpandCluster(D, object, ClusterId, e, MinPts) which visits all objects o in D that are density-reachable from object and sets their ClId to ClusterId, i.e. o.ClId = ClusterId. In which cases does the assignment of objects to clusters depend on the order in which DBSCAN visits the objects in the dataset?
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