Curse of Dimensionality: An Intuitive Exploration

Introduction

In the previous article, we discussed the surprising behavior of data in higher dimensions. We found that volume tends to accumulate in the corners of spaces in a strange way, and we simulated a hypersphere inscribed inside a hypercube to investigate this, observing an interesting decrease in their volume ratio as the dimensions grew. Examples that demonstrated the advantages of multi-dimensional thinking were the DVD-paper experiment and the kernel trick in support …

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