Research map / Optimization / Nonconvex and smooth optimization
Faster Projection-free Convex Optimization over the Spectrahedron
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use rank-one-regularized updates with randomized component selection instead of standard conditional-gradient updates | Conditional gradient optimization over the spectrahedron · Spectrahedron optimization | expected approximation error: O(\beta/t) -> O\left(\min\{\frac{\beta{}}{t} ,\left({\frac{\beta\sqrt{\textrm{rank}(\X^*)}}{\alpha^{1/4}t}}\right)^{4/3} | Helped |
| Use the proposed ROR-CG variant with greedy component selection and line search | ROR-CG · MovieLens100k | objective versus iterations | Helped |
| Use the proposed ROR-CG variant with greedy component selection and line search | ROR-CG · MovieLens1M | objective versus iterations | Helped |
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