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Research map / Optimization / Nonconvex and smooth optimization

Blended Conditonal Gradients

ICML 2019 · Optimization › Nonconvex and smooth optimization · approach: Projection-free conditional gradient · 12 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Blending CG steps, lazy weak-separation steps, and simplex gradient descent steps (BCG) instead of away/pairwise stepsconditional gradient for smooth convex minimization over polytopes · Four test problems (Figure 1)iterations and wall-clock time to reach target function valueHelped
Linear convergence guarantee for strongly convex functions via simplicial curvature and geometric strong convexityBCG · Theory (Theorem 3.1)iteration complexityNo clear effect
Sparse-iterate property from aggressive reuse of active verticesBCG · Sparse signal recovery, Lasso, structured regression, video co-localizationnumber of vertices in final convex combinationHelped

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