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They don't? One is a row in table (R^n) (order matters) and the other is a set of points (R^nxd).

If you consider the whole table, any dataSET is like point clouds.

The table is the point cloud the row is the point. The symmetry is permutations of rows or permutations of points.

In which case would you use the whole table?

Well yeah, there's no permutation symmetry between columns. (Unless there is...)

Then as parent said, almost all datasets are like point cloud, except time-series datasets.

Yeah, they are.