Keywords:data mining, dimension reduction, synthetic wave
Multidimensional data compression has long been active research area of interest from the perspective of reducing learning costs and summarizing data. Especially in today's big data era, it is expected to establish data compression methods with higher performance than ever before. In this study, we propose a new method of multidimensional compression that effectively utilizes the physical properties of waves. The principle of wave superposition can be applied to synthesize multiple waves. It is a physical fact that the wavelength of a superposition of waves with different wavelengths can be expressed as the harmonic mean of each wave. Applying this characteristics to the compression of multidimensional data, the composition of multiple variables can be expressed as the harmonic mean of each variable. In this way, we propose a method of dimensional compression that can compress each variable more effectively than conventional methods.
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