How much overparameterization does ALS need for tensor decomposition?

Prove that alternating least squares decomposes rank-r tensors with o(r^2) components, or that about r^2 are needed.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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	4	+ "learning-theory",
	5	+ "algorithms-complexity"
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	7	+ "type": "proof",
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	11	+ "source": {
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	13	+ "name": "COLT open problems",
	14	+ "url": "https://proceedings.mlr.press/v336/arvanitakis26a.html",
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	16	+ "curator": "Conference on Learning Theory (COLT)",
	17	+ "poser": "Dionysis Arvanitakis, Vaidehi Srinivas and Aravindan Vijayaraghavan",
	18	+ "status": "open",
	19	+ "as_of": "2026-10-20",
	20	+ "catalog": "0521c19bbd38"
	21	+ }
	22	+}