Table 2 Depiction of different parameters of ML algorithms in stage 1. Since RMSE measures the average magnitude of prediction errors, lower values indicate better model performance. Among all the models, Gaussian process regressor (GPR) demonstrates the lowest RMSE, making it the most effective model in terms of prediction accuracy. Following closely behind are support vector regression (SVR) and random forest, which also show relatively low RMSE values, indicating their strong predictive capabilities. The R square and adjusted R squared value of GPR is higher than other models. Table 3 contains the baskets of algorithms used in stage 2.

From: Machine learning enhanced ultra-high vacuum system for predicting field emission performance in graphene reinforced aluminium based metal matrix composites

Base Model

Basket number

Basket name

MSE

RMSE

R2

Adj R2

GPR

4

Bayesian Models

215.8046329

14.69029043

0.887622791

0.887373341

SVR

2

Support Vector Models

235.8049834

15.35594293

0.861418319

0.861110702

RandomForest

1

Decision Tree-Based Models

265.1747244

16.28418633

0.852849125

0.852522485

Poly3

5

Statistical Models

286.759422

16.93397242

0.845503831

0.845160887

BayesianRidge

4

Bayesian Models

299.0621907

17.29341466

0.82660697

0.82622208

NuSVR

2

Support Vector Models

301.1729789

17.35433602

0.811156993

0.810737807

ExtraTrees

1

Decision Tree-Based Models

326.5911118

18.071832

0.790315019

0.78984957

Monte_Carlo

5

Statistical Models

527.6887581

22.97147706

0.728778059

0.728176012

FNN

3

Neural Networks

695.9155292

26.38021094

0.705334504

0.704680419

DecisionTree

1

Decision Tree-Based Models

1152.492558

33.94838079

0.602546309

0.601664059

MLP

3

Neural Networks

1115.405659

33.39768942

0.563393164

0.562424003

HoltWinters

5

Statistical Models

1179.041508

34.33717384

−0.000197328

−0.002417521