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Research map / Optimization / Nonconvex and smooth optimization

A Comprehensive Linear Speedup Analysis for Asynchronous Stochastic Parallel Optimization from Zeroth-Order to First-Order

NeurIPS 2016 · Optimization › Nonconvex and smooth optimization · approach: Stochastic convex optimization complexity · 68 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
asynchronous parallelism with more workers (ASZD, linear speedup regime)ASZD zeroth-order method · synthetic black box neural network weightsiteration (CCS) speedup: CCS 30.86 at 32 threads vs 1 threadHelped
more threads in running timeASZD zeroth-order method · synthetic black box neural network weightsrunning time speedup (RTS): RTS 26.12 at 32 threads vs 1 threadHelped
asynchronous zeroth-order blending with 10 threadsASZD model blending · KDD-Cup 2011 Track 1RMSE: 21.1241 vs 21.0004 (1st place); better than 3rd place 21.2335 but worse than 1st and 2ndMixed
larger zeroth-order step size µ allowed when gradient noise variance σ is largeASZD · theoryallowed smoothing parameter µHelped
relaxing the linear speedup bound on staleness T from O(N^1/2) to O(N^3/4) for ASCDasynchronous SCD · smooth unconstrained convex/nonconvex analysisupper bound on staleness T for linear speedupHelped

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