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...

The steady boundary layer flow and heat transfer of a nanofluid past a nonlinearly permeable stretching/shrinking sheet is numerically studied. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation, which are then solved numerically using a shooting method. The local Nusselt number and the local Sherwood numbe...

A bstract In this paper, we consider the evolution of thermofield-double state under double-traced operator that connects its both sides. We will compute entanglement entropy resulting using replica trick for large N field theory. To leading order, it can be computed from two-point function theory, where, in CFTs, is fixed by symmetries. Due to exponential decay interaction, saturates about the...

A new parallel binary image shrinking algorithm that can be considered as an improvement of Levialdi's (1972) parallel shrinking algorithm and can be used in many image labeling algorithms as a basic operation in order to reduce the storage requirements for local memory and speed up the labeling process is presented. This new parallel shrinking algorithm shrinks an nxn binary image to an image ...

Time shrinking denotes the psycho-acoustic phenomenon that an acoustic event is perceived as shorter if it follows an even shorter acoustic event. Previous work has shown that time shrinking can be traced in speech-like phrases and may lead to the impression of a higher speech rate and syllable isochrony. This paper provides experimental evidence that time shrinking is effective on foot level a...