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Table 3 The test MAE and RMSE for each model in different density region

From: Force field-inspired transformer network assisted crystal density prediction for energetic materials

Density region

Models

MAE (g/cm3)

RMSE (g/cm3)

1) ρ ≥ 1.8 g/cm3

RF

0.0818 ± 0.0107

0.1169 ± 0.0219

GATv2

0.0522 ± 0.0032

0.0681 ± 0.0057

D-MPNNs

0.0476 ± 0.0033

0.0564 ± 0.0020

FFiNet

0.0573 ± 0.0034

0.0739 ± 0.0056

FFiTrNet

0.0446 ± 0.0045

0.0556 ± 0.0036

2) 1.6 g/cm3 ≤ ρ < 1.8 g/cm3

RF

0.0544 ± 0.0024

0.0710 ± 0.0060

GATv2

0.0482 ± 0.0064

0.0631 ± 0.0112

D-MPNNs

0.0436 ± 0.0059

0.0604 ± 0.0113

FFiNet

0.0439 ± 0.0037

0.0631 ± 0.0081

FFiTrNet

0.0422 ± 0.0021

0.0567 ± 0.0068

3) 1.4 g/cm3 ≤ ρ < 1.6 g/cm3

RF

0.0380 ± 0.0008

0.0479 ± 0.0006

GATv2

0.0326 ± 0.0012

0.0404 ± 0.0018

D-MPNNs

0.0316 ± 0.0015

0.0387 ± 0.0016

FFiNet

0.0331 ± 0.0003

0.0412 ± 0.0002

FFiTrNet

0.0325 ± 0.0003

0.0407 ± 0.0004

4) ρ < 1.4 g/cm3

RF

0.0321 ± 0.0014

0.0449 ± 0.0040

GATv2

0.0308 ± 0.0003

0.0459 ± 0.0047

D-MPNNs

0.0287 ± 0.0006

0.0443 ± 0.0067

FFiNet

0.0309 ± 0.0018

0.0473 ± 0.0069

FFiTrNet

0.0297 ± 0.0011

0.0443 ± 0.0029

  1. The best results are marked in bold, and the second-best results are italicized