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Accelerated Stochastic Greedy Coordinate Descent by Soft Thresholding Projection onto Simplex

NeurIPS 2017 · Optimization › Nonconvex and smooth optimization · approach: Adaptive first-order convex methods

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add Nesterov acceleration to greedy coordinate descent (ASGCD b=n vs. non-accelerated CGD with GS-q)greedy coordinate descent on lasso · Leukemia, Gisette, MNIST lasso (λ=1e-2, 1e-6)log loss vs. data passesHelped
Use stochastic sampling (b=1) in ASGCD instead of full-gradient greedy selectionASGCD vs. Katyusha · Leukemia (λ=1e-2, 1e-6) and Gisette (λ=1e-2)log loss vs. data passesHelped
Use ASGCD (b=1) instead of KatyushaASGCD vs. Katyusha · Gisette (λ=1e-6) and MNIST (λ=1e-2, 1e-6)log loss vs. data passesHurt
Use the l1-norm square approximation greedy rule (ASGCD b=n) instead of l2 quadratic proximal AFGASGCD (b=n) vs. AFG · Leukemia (λ=1e-2, 1e-6) and Gisette (λ=1e-2)log loss vs. data passesHelped
Use the l1-norm square approximation greedy rule (ASGCD b=n) instead of l2 quadratic proximal AFGASGCD (b=n) vs. AFG · Gisette (λ=1e-6) and MNIST (λ=1e-2, 1e-6)log loss vs. data passesHurt
Sort-free SOTOPO filtering (Lemma 5) to reduce greedy selection costSOTOPO projection · theoretical complexitycostHelped

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