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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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0111 · Mar 202319922001200920172026
1 result for “retraction-free”
Orthogonal Directions Constrained Gradient Method: from non-linear equality constraints to Stiefel manifoldmath.OC

ODCGM solves non-convex optimization on manifolds with simpler projections.

problem Minimizing non-convex functions over smooth manifolds.
method Orthogonal Directions Constrained Gradient Method (ODCGM) that projects onto a vector space.
result ODCGM converges to the manifold with near-optimal oracle complexities.
manifold optimizationnon-convex optimizationStiefel manifoldretraction-freenear-optimal complexity
2023-03-16abs ↗pdf ↗