Research map / Optimization / Nonconvex and smooth optimization
Decomposable Non-Smooth Convex Optimization with Nearly-Linear Gradient Oracle Complexity
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use adaptive selection of component functions with combined cutting-plane and interior-point updates | Decomposable convex optimization · Decomposable convex optimization | gradient oracle calls: O(nd \log(1/\epsilon)) -> O(m\log(m/\epsilon)) | Helped |
| Apply the proposed decomposable optimization algorithm to decomposable submodular minimization | Decomposable submodular minimization · Decomposable submodular minimization | evaluation oracle calls: \widetilde{O}(n k^6 \log (1/\epsilon)) -> O(n k^2 \log(nk/\epsilon)) | Helped |
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