Research map / Vision-language and multimodal / Cross-modal learning
Measuring Cross-Modal Interactions in Multimodal Models
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Proposes InterSHAP, a performance-agnostic, label-free Shapley-interaction-index score that quantifies the share of model behaviour attributable to cross-modal interactions for any number of modalities, with an open-source SHAP-integrated implementation.
Problem
Existing cross-modal interaction scores (PID, EMAP, SHAPE) are limited to two modalities, need labels, lack sample-level explanations, or depend on model performance, which is problematic for explainability in multimodal healthcare models.
Approach
Adapts the Shapley interaction index to multimodal models, using the model's predicted class probability as target, and defines InterSHAP as the absolute-value-averaged fraction of total model behaviour from pairwise cross-modal interaction terms, computable globally and per sample.
Key results
- On HD-XOR with two modalities, InterSHAP gives 0.0% for uniqueness and 99.7% for synergy (XOR baseline), and 38.6% for redundancy with an FCNN.
- InterSHAP synergy score on HD-XOR falls from 98.0% (2 modalities) to 64.1% (4 modalities) for the FCNN with early fusion, while uniqueness stays near 0-1.2%.
- On single-cell data InterSHAP ranges 0.4% to 1.9% across fusion methods; on MIMIC-III the MVAE shows 6.8% (ICD-9) and 12.3% (mortality) cross-modal interaction.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use the local sample-level score instead of global InterSHAP | InterSHAP on HD-XOR uniqueness and synergy using XOR · HD-XOR uniqueness and synergy | interaction score (%): 0.0 vs 1.8; 99.7 vs 96.9 | Mixed |
| increase the number of modalities from two to four | FCNN with early fusion · HD-XOR synergy | InterSHAP (%): 98.0 -> 64.1 | Hurt |
| increase the number of modalities from two to four | FCNN with early fusion · HD-XOR uniqueness | InterSHAP (%): 0.2 -> 0.6 -> 1.2 | Mixed |
| use early rather than late fusion | FCNN · Multimodal Single-Cell | InterSHAP (%): 0.4 -> 1.9 | Helped |
| replace the MultiBench baseline with MVAE | MIMIC-III model · ICD-9 | InterSHAP (%): 1.2 -> 6.8 | Helped |
| replace the MultiBench baseline with MVAE | MIMIC-III model · Mortality | InterSHAP (%): 11.0 -> 12.3 | Helped |
| use early fusion rather than intermediate or late fusion (ablation) | FCNN · HD-XOR synergy, two modalities | InterSHAP (%) | Helped |
| use early fusion rather than intermediate or late fusion (ablation) | FCNN · HD-XOR uniqueness, two modalities | InterSHAP (%) | No clear effect |
Surprising findings
- The FCNN showed 0.2% interaction on the uniqueness dataset and 98.0% on synergy rather than the ideal 0% and 100%, indicating it does not fully learn the XOR structure.
- EMAP reported no cross-modal interaction on the single-cell models, while InterSHAP detected small but nonzero interactions concentrated in smaller classes.
Limitations
- Exponential runtime in number of modalities because the Shapley interaction index is computed exactly without approximation.
- Synergy in HD-XOR decreases with more modalities, so the synergy test is not clean beyond two modalities; the FCNN also does not fully learn the synergy (F1 drops to 76.4% for four modalities).
- Local InterSHAP deviates from global values (e.g., 96.9% vs 99.7%) due to masking error and model variance; captures only pairwise interactions.
Experimental setup
Datasets: HD-XOR synthetic SUM synthetic multimodal single-cell MIMIC-III
Benchmarks: HD-XOR synthetic datasets SUM synthetic datasets multimodal single-cell MIMIC-III
Metrics: InterSHAP (percent of model behaviour from cross-modal inter InterSHAP_local PID synergy EMAP_gap SHAPE F1
Baselines: PID EMAP SHAPE
Builds on: Shapley value Shapley interaction index SHAP PID EMAP SHAPE MultiBench
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