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Research map / Optimization / Nonconvex and smooth optimization

Faster Projection-free Convex Optimization over the Spectrahedron

NeurIPS 2016 · Optimization › Nonconvex and smooth optimization · approach: Projection-free conditional gradient · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use rank-one-regularized updates with randomized component selection instead of standard conditional-gradient updatesConditional gradient optimization over the spectrahedron · Spectrahedron optimizationexpected 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 searchROR-CG · MovieLens100kobjective versus iterationsHelped
Use the proposed ROR-CG variant with greedy component selection and line searchROR-CG · MovieLens1Mobjective versus iterationsHelped

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