Central Point Selection in Dimension Reduction Projection Simple-Map with Binary Quantization
A Simple-Map (S-Map, for short), which is one of dimension reduction techniques applicable to any metric space, uses the distances between central points and objects as the coordinate values. S-Map with multiple central points is a projection to multidimensional \(L_\infty \) space. In the previous researches for S-Map, the candidates for central points are randomly selected from data objects in database, and the summation of projective distances between sampled pairs of points is used as the scoring function to be maximized. We can improve the above method to select central points by using local search. The coordinate values of central points obtained after local search tend to be the maximum or the minimum ends of the space. By focusing on this tendency, in this paper, we propose a binary quantization to select central points divided into the maximum values and the minimum values based on whether the coordinate value of an object in database is greater than the threshold or not.
- 3.Guttman, A.: R-trees: a dynamic index structure for spatial searching. In: Proceedings of SIGMOD 1984, pp. 47–57 (1984)Google Scholar
- 5.Nakanishi, Y.: A study on central point selection of dimension reduction projection simple-map for fast similarity search in high-dimensional data, Master Thesis, Kyushu Institute of Technology (2006)Google Scholar
- 6.Ogawa, F.: A study on simulated annealing and local search for central point selection of dimension reduction projection Simple-Map, Graduation Thesis, Kyushu Institute of Technology (2014)Google Scholar