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Solving the Inseparable Allen-Cahn equation on 10K D Configuration

0.0547Solution ErrorForward-over-Backward SDGD
0.0345680.1704590.306350.442241Nov 27, 2024

Evaluation results

MethodLinks
Forward-over-Backward SDGDComputing mode=Forward-over-Backward, Batch size=1002024.110.0547——
STDE (batch size=16)Batch size=162024.110.0833——
Backward mode SDGD (PyTorch)Framework=PyTorch, Batch size=1002024.110.1864——
Parallelized backward mode SDGDComputing mode=Parallelized, Batch size=1002024.110.259——
STDEBatch size=1002024.110.345——
Backward mode SDGD (JAX)Framework=JAX, Batch size=1002024.110.346——
Forward LaplacianBatch size=1002024.110.558——