Multimodal Fusion: Incremental Value Explorer

Fuse a clinical model and an imaging model by weighted averaging, and test whether the combination actually beats the stronger baseline.

  • multimodal
  • fusion
  • incremental value
  • ROC

ROC curves: clinical vs. imaging vs. fusion

00.10.20.30.40.50.60.70.80.9100.20.40.60.811 - SpecificitySensitivity
Clinical only (AUC=0.95)Imaging only (AUC=0.97)Fusion (AUC=0.99)

Metrics table

ModelAUCBrier
Clinical only0.9520.114
Imaging only0.9680.095
Fusion0.9940.091

Clinical vs. imaging predicted probabilities

00.10.20.30.40.50.60.70.80.9100.20.40.60.81Clinical probabilityImaging probability

Agreement is low; fusion only helps if errors are uncorrelated.

Incremental value depends on independent errors
Fusion beats both single-modality models only when the clinical and imaging scores make largely uncorrelated mistakes — that is what the scatter plot's spread away from the diagonal represents. On the internal set a modest imaging weight can lift AUC above either baseline. Switch to the external set: the imaging model typically degrades more than the clinical model under acquisition shift, so the same fusion weight can now hurt, and the optimal weight shifts back toward the clinical-only baseline. Incremental value should always be judged relative to the strongest single-modality model, not against no model at all.