Table 4 Computed person correlation coefficients among quantitative evaluations data of virtual stains, real H&E images and HSFI, indicating direction of correlation, followed by the corresponding inference relationship.

From: VISGAB: Virtual staining-driven GAN benchmarking for optimizing skin tissue histology

Comparison

Pearson r

Direction

Inference

HSFI vs. SSIM

+ 0.982

Strong positive

HSFI strongly aligns with structural similarity, confirming that higher HSFI corresponds to higher structural fidelity

HSFI vs. PSNR

+ 0.967

Strong positive

HSFI rises almost linearly with PSNR, indicating sensitivity to reconstruction quality

HSFI vs. FID

−0.956

Strong negative

Strong inverse relationship: lower FID (better realism) corresponds to higher HSFI

HSFI vs. KID

−0.931

Strong negative

HSFI decreases as KID increases, reflecting alignment with perceptual domain similarity

HSFI vs. LPIPS

−0.942

Strong negative

Higher perceptual dissimilarity (LPIPS) results in lower HSFI des, indicating a desirable correlation