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Online Convex Optimization in the Random Order Model

ICML 2020 · Optimization › Nonconvex and smooth optimization · approach: Coordinate and Adam convergence analysis

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Random-order model instead of adversarial order for OGD on cumulative strongly convex lossesOnline gradient descent · Theory: quadratic losses with cumulative strong convexityregretHelped
Rank-k SVD per iteration instead of full SVD in online PCA OGA (ablation)Algorithm 1 (online PCA) · Synthetic data and MNISTregret comparable to full SVDNo clear effect
Increasing k in rank-k SVD projection (ablation)Algorithm 1 (online PCA) · Synthetic datafraction of iterations with projection rank above k: 0.0082% at k=1 to 0.37% at k=7Hurt

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