Research map / Optimization / Nonconvex and smooth optimization
Linear-Memory and Decomposition-Invariant Linearly Convergent Conditional Gradient Algorithm for Structured Polytopes
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| decomposition-invariant away-steps (no explicit convex decomposition maintained) | pairwise CG on structured polytopes · theory | memory and per-iteration overhead | Helped |
| replace dimension-dependent rate factor with card(x*) | pairwise CG with DICG away-steps · theory (sparse optimum) | iterations to epsilon error | Helped |
| DICG versus ACG/PCG in video co-localization (flow polytope) | DICG · video co-localization | duality gap vs iterations | Helped |
| DICG versus PCG on Lasso (simplex-equivalent) | DICG · Lasso | duality gap vs iterations | No clear effect |
| DICG versus ACG/PCG on OCR | DICG · OCR structured SVM | running time | Helped |
Closest papers by meaning
- Blended Conditonal Gradients (ICML 2019 · similarity 0.93)
- Decomposition-Invariant Conditional Gradient for General Polytopes with Line Search (NeurIPS 2017 · similarity 0.93)
- Revisiting Frank-Wolfe for Polytopes: Strict Complementarity and Sparsity (NeurIPS 2020 · similarity 0.91)
- Reusing Combinatorial Structure: Faster Iterative Projections over Submodular Base Polytopes (NeurIPS 2021 · similarity 0.89)
- Revisiting Frank-Wolfe for Structured Nonconvex Optimization (NeurIPS 2025 · similarity 0.88)
- Efficient Quadratic Corrections for Frank-Wolfe Algorithms (NeurIPS 2025 · similarity 0.87)
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