Similar Elements and Metric Labeling on Complete Graphs
This addresses optimization challenges in machine learning and pattern recognition, but it is incremental as it builds on known problems like metric labeling.
The paper tackles the similar elements problem by formulating it as an optimization and provides an efficient 2-approximation algorithm, also extending this to a 2-approximation for the metric labeling problem on complete graphs.
We consider a problem that involves finding similar elements in a collection of sets. The problem is motivated by applications in machine learning and pattern recognition. We formulate the similar elements problem as an optimization and give an efficient approximation algorithm that finds a solution within a factor of 2 of the optimal. The similar elements problem is a special case of the metric labeling problem and we also give an efficient 2-approximation algorithm for the metric labeling problem on complete graphs.