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ACCELERATING NONCONVEX LEARNING VIA REPLICA EXCHANGE LANGEVIN DIFFUSION

ICLR 2019 · Optimization › Nonconvex and smooth optimization · approach: Langevin sampling for nonconvex problems · 15 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add position swapping between low- and high-temperature Langevin particlesReplica exchange Langevin diffusion · Nonconvex optimizationχ²-divergence convergenceHelped
Add position swapping between low- and high-temperature Langevin particlesReplica exchange Langevin diffusion · Empirical measuresLDP rate functionHelped
Use a higher swapping intensityReplica exchange Langevin diffusion · Nonconvex optimizationχ²-divergence convergenceHelped
Use a higher swapping intensityReplica exchange Langevin diffusion · Empirical measuresLDP rate functionHelped
Swap when the Radon–Nikodym derivative is symmetric across particle positionsReplica exchange Langevin diffusion · Nonconvex optimizationχ²-divergence convergenceNo clear effect
Swap when the empirical-measure density is symmetric across particle positionsReplica exchange Langevin diffusion · Empirical measuresLDP rate functionNo clear effect
Use a single-temperature Langevin diffusion instead of replica exchangeLangevin diffusion · Numerical experimentsPerformanceHurt

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