Table 6 Computed person correlation coefficients among qualitative evaluations data of virtual stains, real H&E images and HSFI, indicating direction of correlation, followed by the corresponding inference relationship.    HSFI  ,       HSFI   

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

Qualitative metric

Pearson r

Direction

Inference

Stain Specificity

H&E consistency

0.982

Strong positive

HSFI increases with improved staining consistency, reflecting close alignment with stain fidelity

Melanin differentiation

0.981

Strong positive

Strong correlation confirms HSFI’s sensitivity to pigment differentiation, crucial for skin histopathology

Diagnostic trustworthiness

Nuclear atypia

0.995

Strong positive

Near-perfect correlation; HSFI strongly reflects nuclear-level diagnostic trustworthiness

Tissue architecture

0.882

Very positive

HSFI correlates tightly with architectural integrity, supporting its structural awareness, but requires further weighting coefficient optimization

Mitotic figure accuracy

0.987

Strong positive

Indicates HSFI is sensitive to cellular-level morphological fidelity

Artifact severity

No blurring (None rate)

0.974

Strong positive

Lower blur correlates with higher HSFI, confirming its structural sharpness sensitivity

Overstaining (mean)

−0.994

Strong negative

Strong negative correlation shows HSFI penalizes overstaining consistent with human perception

Hallucinations (mean)

−0.991

Strong negative

Strong inverse relationship; HSFI decreases with artifact prevalence, capturing pathological distortions

Inter-rater agreement (Fleiss’ κ)

0.973

Strong positive

High correlation confirms HSFI aligns with expert consensus robustness

Turing test success

0.992

Strong positive

HSFI matches human perceptual success rates, confirming clinical interpretability