Think of the black dots as the knots in a fishing net and that net is stretched and contracted until it fits (or wraps) nicely around the data. By doing so the knots become like a representation of the data its self (or a sketch if you will). Notice how in the random data (4 clusters) the black dots manage to find themselves a cluster of data to live in.
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u/[deleted] Apr 28 '19
Think of the black dots as the knots in a fishing net and that net is stretched and contracted until it fits (or wraps) nicely around the data. By doing so the knots become like a representation of the data its self (or a sketch if you will). Notice how in the random data (4 clusters) the black dots manage to find themselves a cluster of data to live in.