Table 6 Coefficients of determination (\(\mathrm{r^{2}}\)-scores) for the analytic, semi-analytic, and data-driven methods investigated in this work. The data-driven models were trained on the train dataset and all models were evaluated on the holdout test dataset. The \(\mathrm{r^{2}}\)-scores quantify the correlation between the predicted and “true” values of the post-impact parameters, where the true values are obtained from SPH simulations. Entries listed as \(n/a\) indicate the method was not designed to make a prediction for the parameter in question. Mass and angular momentum properties reflect the performance of the classification step, whereas the other properties quantify only the regression performance (see: Sect. 3.6.3). The (semi-)analytic methods use the classification scheme inherent to those methods, while the data-driven methods use a multiclass XGB classifier

ξ

0.9733

0.9355

0.9793

0.9896

\(M_{\mathrm{LR}}\)

0.9741

0.9571

0.9829

0.9863

\(M^{\mathrm{norm}}_{\mathrm{LR}}\)

0.9415

0.9031

0.9747

0.9803

\(F^{\mathrm{core}}_{\mathrm{LR}}\)

n/a

0.9564

0.9450

0.9516

0.9568

\(J_{\mathrm{LR}}\)

n/a

n/a

0.8162

0.7857

0.9121

0.9045

\(\Omega _{\mathrm{LR}}\)

n/a

n/a

0.8831

0.8702

0.9229

0.9133

\(\theta _{\mathrm{LR}}\)

n/a

n/a

0.8589

0.8278

0.8852

0.8764

\(F^{\mathrm{melt}}_{\mathrm{LR}}\)

n/a

n/a

n/a

0.9084

0.9647

0.9762

0.9798

\(\delta ^{\mathrm{mix}}_{\mathrm{LR}}\)

n/a

n/a

0.9251

0.8942

0.9710

0.9747

\(M_{\mathrm{SLR}}\)

0.9601

0.8257

0.9442

0.9418

\(M^{\mathrm{norm}}_{\mathrm{SLR}}\)

0.9409

0.7052

0.9317

0.9028

\(F^{\mathrm{core}}_{\mathrm{SLR}}\)

n/a

n/a

n/a

0.9141

0.9265

0.9426

0.9332

\(J_{\mathrm{SLR}}\)

n/a

n/a

n/a

0.8893

0.8285

0.8819

0.8713

\(\Omega _{\mathrm{SLR}}\)

n/a

n/a

n/a

0.8803

0.9140

0.9044

0.9073

\(\theta _{\mathrm{SLR}}\)

n/a

n/a

n/a

0.8080

0.7933

0.8176

0.7969

\(F^{\mathrm{melt}}_{\mathrm{SLR}}\)

n/a

n/a

n/a

0.9272

0.9720

0.9693

0.9749

\(\delta ^{\mathrm{mix}}_{\mathrm{SLR}}\)

n/a

n/a

n/a

0.7864

0.7897

0.8171

0.7714

\(M_{\mathrm{deb}}\)

0.9672

0.9647

0.9867

0.9933

\(M^{\mathrm{norm}}_{\mathrm{deb}}\)

0.9848

0.9685

0.9895

0.9937

\(F^{\mathrm{Fe}}_{\mathrm{deb}}\)

n/a

n/a

n/a

0.9419

0.8811

0.9396

0.9538

\(\delta ^{\mathrm{mix}}_{\mathrm{deb}}\)

n/a

n/a

n/a

0.6436

0.5257

0.6747

0.6722

\(\bar{\theta }_{\mathrm{deb}}\)

n/a

n/a

0.3903

0.3364

0.4834

0.4653

\(\theta ^{\mathrm{stdev}}_{\mathrm{deb}}\)

n/a

n/a

0.8680

0.8634

0.9095

0.8812

\(\bar{\phi }_{\mathrm{deb}}\)

n/a

n/a

0.8168

0.7969

0.8603

0.8299

\(\phi ^{\mathrm{stdev}}_{\mathrm{deb}}\)

n/a

n/a

0.7657

0.7475

0.8149

0.7787