By Sugato Basu, Ian Davidson, Visit Amazon's Kiri Wagstaff Page, search results, Learn about Author Central, Kiri Wagstaff,

ISBN-10: 1584889969

ISBN-13: 9781584889960

Because the preliminary paintings on limited clustering, there were a number of advances in equipment, purposes, and our knowing of the theoretical houses of constraints and limited clustering algorithms. Bringing those advancements jointly, Constrained Clustering: Advances in Algorithms, idea, and Applications provides an intensive choice of the most recent strategies in clustering info research tools that use historical past wisdom encoded as constraints.

Algorithms

The first 5 chapters of this quantity examine advances within the use of instance-level, pairwise constraints for partitional and hierarchical clustering. The booklet then explores different forms of constraints for clustering, together with cluster measurement balancing, minimal cluster size,and cluster-level relational constraints.

Theory

It additionally describes diversifications of the conventional clustering below constraints challenge in addition to approximation algorithms with valuable functionality promises.

Applications

The ebook ends via employing clustering with constraints to relational information, privacy-preserving information publishing, and video surveillance information. It discusses an interactive visible clustering technique, a distance metric studying procedure, existential constraints, and immediately generated constraints.

With contributions from business researchers and prime educational specialists who pioneered the sphere, this quantity grants thorough assurance of the functions and barriers of restricted clustering tools in addition to introduces new forms of constraints and clustering algorithms.

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Extra resources for Constrained Clustering: Advances in Algorithms, Theory, and Applications (Chapman & Hall/CRC Data Mining and Knowledge Discovery Series)

Example text

Subsequently, the research area has greatly expanded to include algorithms that leverage many additional kinds of domain knowledge for the purpose of clustering. In this book, we aim to provide a current account of the innovations and discoveries, ranging from theoretical developments to novel applications, associated with constrained clustering methods. 2 Initial Work: Instance-Level Constraints A clustering problem can be thought of as a scenario in which a user wishes to obtain a partition ΠX of a data set X, containing n items, into k clusters πi = ∅).

1) We find estimates for P (πi ) and θπi via the standard procedure for EM, beginning with randomized estimates of θπi drawn as a weighted sample from the observations. 1 to compute P (πi |x). Each cluster is given partial ownership of a document proportional to P (πi |x). The parameters θπi are recomputed as the weighted sum of their component documents, and the process is repeated. , MacKay [15] or Meil˘ a and Heckerman [17] for details). 3 Semi-Supervised Clustering The goodness of any clustering depends on how well the metric D matches the user’s (perhaps unknown) internal model of the target domain.

When constraints are available, rather than returning partition ΠX that best satisfies the (generic) objective function used by the clustering algorithm, we require that the algorithm adapt its solution to accommodate C. These instance-level constraints have several interesting properties. A collection of must-link constraints encodes an equivalence relation (symmetric, reflexive, and transitive) on the instances involved. The transitivity property permits additional must-link constraints to be inferred from the base set [4, 17].

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Constrained Clustering: Advances in Algorithms, Theory, and Applications (Chapman & Hall/CRC Data Mining and Knowledge Discovery Series) by Sugato Basu, Ian Davidson, Visit Amazon's Kiri Wagstaff Page, search results, Learn about Author Central, Kiri Wagstaff,


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