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Yes. But curve fitting is qualitatively different with millions of dimensions than with just a few, and it's only recently that we've gotten good results in the
by tlb 10y ago
Yes. But curve fitting is qualitatively different with millions of dimensions than with just a few, and it's only recently that we've gotten good results in the 1M-dimensional case. For example, modern image captioning can successfully assign 1 out of 1000 semantic labels to images from ~1M pixels. There's no interpolation in that 1M-dimensional space that corresponds to the sort of curve fitting operations that work in a few dimensions.
- noobermin 10y agoI see, so it's the high dimensionality of parameters to fit rather than, say, a small number of parameters for millions of points.