A maximum profit coverage algorithm with application to small molecules cluster identification

  • Authors:
  • Refael Hassin;Einat Or

  • Affiliations:
  • Department of Statistics and Operations Resea rch, Tel Aviv University, Tel Aviv, Israel;Department of Statistics and Operations Resea rch, Tel Aviv University, Tel Aviv, Israel

  • Venue:
  • WEA'06 Proceedings of the 5th international conference on Experimental Algorithms
  • Year:
  • 2006

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Abstract

In this paper we present the cluster identification of molecules (CIM), which is a clustering problem in a finite metric space. We model the problem as a parameter estimation via likelihood maximization and as a novel clustering problem, the maximum profit coverage problem (MPCP). We present a numerical study in which we compare a greedy heuristic and a random heuristic for MPCP, to the known Expectation Minimization approach for the likelihood maximization model. We present a polynomial time approximation scheme for MPCP in Euclidean space.