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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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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 "review": true,
23 "approval": "first-time"
24}