ResearchBenchmarksInverse PDE Problem Solving on Allen-Cahn-2DInverse PDE Problem Solving on Allen-Cahn-2DFollow100Success RateD-IPG-4235077May 13, 2026Evaluation resultsMethodMethodLinksSuccess RateMedian IterationsMean RMSEMean Inference Time (s)Mean Final RJCPD-IPGAblation=+JCPAblation=+JCP2026.0510069.38490.149828.4511L-BFGS2026.0575317.6070.3596—GN2026.0542.5610.03462.7655—D-IPGAblation=-JCPAblation=-JCP2026.0516.25512.19960.122818.1261Gradient Descent2026.0508093.04441.6142—LM2026.0505519.754611.6221—