Correction to: Scientific Reportshttps://doi.org/10.1038/s41598-024-71730-7, published online 24 September 2024

In the original version of this Article, Figs. 8 and 9 were incorrectly displayed.

The original Figs. 8 and 9 and the accompanying legend appear below.

Fig. 8
figure 8

Results of ML-attacks on 2 and 4 array proposed MPUF with different training set sizes.

Fig. 9
figure 9

Results of the ML-attacks on 2-array MPUF proposed in28 and our proposed 2-array MPUF with different training set sizes.

The original Article has been corrected.