Quantifying & Modeling Multimodal Interactions: An Information Decomposition Framework
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Abstract (arXiv)
The recent explosion of interest in multimodal applications has resulted in a wide selection of datasets and methods for representing and integrating information from different modalities. Despite these empirical advances, there remain fundamental research questions: How can we quantify the interactions that are necessary to solve a multimodal task? Subsequently, what are the most suitable multimodal models to capture these interactions? To answer these questions, we propose an information-theoretic approach to quantify the degree of redundancy, uniqueness, and synergy relating input modalities with an output task. We term these three measures as the PID statistics of a multimodal distribution (or PID for short), and introduce two new estimators for these PID statistics that scale to high-dimensional distributions. To validate PID estimation, we conduct extensive experiments on both synthetic datasets where the PID is known and on large-scale multimodal benchmarks where PID estimations are compared with human annotations. Finally, we demonstrate their usefulness in (1) quantifying interactions within multimodal datasets, (2) quantifying interactions captured by multimodal models, (3) principled approaches for model selection, and (4) three real-world case studies engaging with domain experts in pathology, mood prediction, and robotic perception where our framework helps to recommend strong multimodal models for each application.
Key facts. Cited by 81 papers in the map (data through 7 Oct 2026). Builds on 48 of its 133 references that are in the map. First posted on arXiv 23 Feb 2023.
Builds on
48 of 133 references.
References · 48
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- 2020Multimodal Sensor Fusion with Differentiable Filterscited by 29
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- 2021A Rigorous Information-Theoretic Definition of Redundancy and Relevancy in Feature Selection Based on (Partial) Information Decompositioncited by 25
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- 2020Fairness Under Feature Exemptions: Counterfactual and Observational Measurescited by 15
- 2022Gacs-Korner Common Information Variational Autoencodercited by 12
- 2021Learning Language and Multimodal Privacy-Preserving Markers of Mood from Mobile Datacited by 9
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- 2018BROJA-2PID: A robust estimator for bivariate partial information decompositioncited by 6
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Citing papers per year: 2023: 3; 2024: 16; 2025: 31; 2026: 31.
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- 2026MLLMs Hallucinate when Information Distribution Drifts in Synergy Headscited by 0
- 2026I Don't Miss You, but I Do: Self-Explanation Faithfulness of Modality Missingness in Vision-Language Models7 Sep 2026
- 2026MLLMs Hallucinate when Information Distribution Drifts in Synergy Heads5 Sep 2026
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- 2026SynCo: Learning Cross-Modal Synergy by Contrasting Interaction Residuals26 Sep 2026
- 2026When Does Text Inform? Benchmarking Information-Theoretic Metrics for Multimodal Time-Series Forecasting10 Sep 2026
- 2026CST: Collaborative Selective Transmission for Communication-Efficient Multimodal Edge Inference22 Aug 2026
- 2026When does fusing hand-crafted knowledge with learned representations pay? A cost-normalized benchmark of stacking, substitution, and interference21 Aug 2026
- 2026Fusion Anything: A Generalized Multimodal Foundation Model16 Aug 2026
- 2026Conditional Validity for Adaptive Modality Acquisition: When the Policy Chooses Its Own Calibration Group16 Aug 2026
- 2026Regularizing modality contribution drift in multimodal continual learning29 Jul 2026
- 2026MultiLoReFT: Decoupling Shared and Modality-Specific Subspaces in Multimodal Learning via Low-Rank Representation Fine-Tuning18 Jul 2026
- 2026Uncertainty-aware damage identification in short-span bridges via physics-informed variational autoencoder6 Jul 2026
- 2026SynIB: Informational Bottleneck for Maximizing Synergy in Multimodal Learning12 May 2026
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