A fast ellipsoid-like method for geodesically convex optimization

Find a first-order method for geodesically convex optimization with query count logarithmic in 1/ε and cheap iterations.

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

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	1	+{
	2	+ "domain": "computer-science",
	3	+ "topics": [
	4	+ "learning-theory",
	5	+ "algorithms-complexity"
	6	+ ],
	7	+ "type": "algorithm",
	8	+ "also": [
	9	+ "proof"
	10	+ ],
	11	+ "source": {
	12	+ "key": "colt",
	13	+ "name": "COLT open problems",
	14	+ "url": "https://proceedings.mlr.press/v195/criscitiello23b.html",
	15	+ "id": "v195/criscitiello23b",
	16	+ "curator": "Conference on Learning Theory (COLT)",
	17	+ "poser": "Christopher Criscitiello, David Martínez-Rubio and Nicolas Boumal",
	18	+ "status": "open",
	19	+ "as_of": "2026-10-20",
	20	+ "catalog": "0521c19bbd38"
	21	+ }
	22	+}