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In this paper, we present ongoing research on data analysis based on our previous work on the shrinking approach. Shrinking [22] is a novel data preprocessing technique which optimizes the inner structure of data. It can be applied in many data mining fields. Following our previous work on the shrinking method for multi-dimensional data analysis in full data space, we propose a shrinking-based ...

Existing data analysis techniques have difficulty in handling multi-dimensional data. In this paper, we first present a novel data preprocessing technique called shrinking which optimizes the inner structure of data inspired by the Newton’s Universal Law of Gravitation[22] in the real world. This data reorganization concept can be applied in many fields such as pattern recognition, data cluster...

This paper describes certain properties of the fundamental group of the shrinking wedge of circles. Covering space theory is an inadequate tool since the shrinking wedge of circles is not semi-locally simply connected. We conclude with the fact that the shrinking wedge of circles is not homotopy equivalent to the wedge product of a countable number of circles.

The kinetics of the shrinking of polymer gels induced by ultracentrifugal fields is investigated. A theory is proposed to describe the diffusion process of polymer networks under centrifugal fields. The initial shrinking rate is proportional to the ratio of the centrifugal force to the frictional force of networks. The shrinking attains the stationary state as a result of the balance between th...