Research map / Optimization / Nonconvex and smooth optimization
Efficient Decentralized Stochastic Gradient Descent Method for Nonconvex Finite-Sum Optimization Problems
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use EDSGD instead of DGET, avoiding periodic full-gradient computation | Decentralized finite-sum optimization · Nonconvex finite-sum optimization | sample complexity: O(Kn + Kn1/2/((1−λ)pϵ2)) -> O(K1/2n1/2/((1 − λ)ϵ2)) | Helped |
| Use EDSGD instead of DGET | Decentralized finite-sum optimization · Nonconvex finite-sum optimization | communication complexity: O(1/((1−λ)pϵ2)) -> O(1/((1 − λ)ϵ2)) | Helped |
| Use EDSGD instead of GT-SARAH | Decentralized finite-sum optimization · Nonconvex finite-sum optimization | communication complexity: O(1/((1−λ)3ϵ2)) -> O(1/((1 − λ)ϵ2)) | Helped |
| Avoid periodic full-gradient computation | EDSGD · Logistic regression on six datasets | objective value versus gradient evaluations | Helped |
| Use EDSGD instead of the compared baselines | Decentralized logistic regression · Six classification datasets | gradient norm versus gradient evaluations | Helped |
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