Cell Annotation metrics:

Metric Caracteristics of the metrics OpenProblems Boundary Optimum Description
Adjusted Rand Index (ARI) Badge Badge [-1, 1] 1 Compares clustering overlap, correcting for random labels.
Average Silhouette Width (ASW) Badge Badge [0, 1] 1 ASW Batch: batch mixing quality; ASW Label: cell-type preservation.
Cell Cycle Conservation Badge Badge [0, 1] 1 Measures preservation of cell-cycle signals after integration.
Graph Connectivity Badge Badge [0, 1] 1 Measures preservation of cell-type neighborhoods in integrated kNN graphs.
HVG Overlap Badge Badge [0, 1] 1 Measures how well gene variability is preserved after integration.
iLISI & cLISI Badge Badge The higher the better iLISI for batch mixing; cLISI for cell-type preservation.
Isolated Label F1 score Badge Badge [0, 1] 1 Measures how well rare or isolated cell types are preserved.
kBET Badge Badge [0, 1] 1 Tests if batch labels are evenly mixed in local neighborhoods.
Normalized Mutual Information Badge Badge [0, 1] 1 Measures clustering accuracy against known labels.
Principal Component Regression Badge Badge [0, 1] 1 Measures how well continuous variation is preserved after integration.
Fowlkes-Mallows Badge [0, 1] 1 Compares agreement/disagreement rates between two clusterings.
Mutual Information Badge The higher the better External metric based on joint entropy.
Rand Index Badge [0, 1] 1 Measures consistency between two clusterings.
V-Measure Badge The higher the better Based on homogeneity and completeness of clustering.
Adjusted Mutual Information (AMI) Badge [0, 1] 1 Measures clustering similarity corrected for chance. More robust than NMI when the number or size of clusters varies.