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Research map / Optimization / Nonconvex and smooth optimization

Quadratic Decomposable Submodular Function Minimization

NeurIPS 2018 · Optimization › Nonconvex and smooth optimization · approach: Adaptive first-order convex methods · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use QRCD-SPE instead of the compared solversHypergraph SSL solvers · Synthetic hypergraphclassification errorHelped
Use QRCD-SPE instead of the compared solversQDSFM solvers · Synthetic hypergraphprimal gap convergenceHelped
Use QRCD-SPE instead of PDHG and SGDQDSFM solvers · Mushroom, Covertype45, and Covertype67convergenceHelped
Use QAP-SPE instead of QRCD-SPEQDSFM solvers · Synthetic hypergraphconvergence within short CPU timeHurt
Use PDHG or SGD instead of QRCD-SPEQDSFM solvers · Synthetic hypergraphconvergence within short CPU timeHurt
Use DRCD, which optimizes DSFM rather than QDSFMHypergraph SSL · Synthetic hypergraphclassification errorHurt
Use InvLap instead of QRCD-SPEHypergraph SSL · Synthetic hypergraphclassification errorHurt
Use InvLap on larger, fewer hyperedgesHypergraph SSL · Mushroom, Covertype45, and Covertype67scalabilityHurt
Vary beta to small values (ablation)QRCD · Synthetic hypergraphconvergence rateHurt
Increase beta above 1 (ablation)QRCD · Synthetic hypergraphconvergence-rate dependence on betaNo clear effect
Vary the ratio max_{i,j} W_{ii}/W_{jj} (ablation)QRCD · Synthetic hypergraphconvergence rateHurt
Replace exact projections with generic MNP or FW projections (ablation)QRCD · Hypergraph SSLruntimeHurt

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