Educational Character Recognition System Implementing an Interactive Visualization of Multi-Dimensional Distribution

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We propose visualizing multi-dimensional distribution used in pattern recognition system and construct an educational visualization system for multi-dimensional space which stimulates intuitive and visual understanding of pattern distribution. We treat the method of visualizing the multi-dimensional vectors of each character on the handwritten digit recognition system.By applying principal component analysis, the original vectors are converted into the principal components. Ellipsoids of equal probability for each category are derived and visualized in the three-dimensional space shown in the visualization system. As a result, the boundary surfaces of each distribution of categories can be seen easily in the reduced three-dimensional space in spite of the fact that the visualized distributions do not represent all vectors. In conclusion, learners of pattern recognition can be stimulated their interest and comprehension of multi-dimensional distribution using this system.