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Information bottleneck-driven Gaussian PID enables modality-level interpretability in multimodal survival prediction
Zeruo Yang1, Shiqi Wu2, Shujian Yu3
1Center for Quantitative Biology, Peking University, Yiheyuan Road 5, Beijing, 100871, China.
Computer Methods and Programs in Biomedicine
|August 3, 2026
Summary
This study introduces an information bottleneck-driven Gaussian Partial Information Decomposition (IB-GPID) framework. IB-GPID reveals that cancer prognosis relies on shared or jointly emergent molecular programs, not just unique ones.
Area of Science:
- Computational biology
- Bioinformatics
- Cancer research
Background:
- Multimodal survival analysis is crucial for precision oncology.
- Current interpretability methods struggle to differentiate shared, unique, or synergistic prognostic information from different data types.
- Partial Information Decomposition (PID) provides a theoretical basis but is challenging to apply to complex survival data.
Purpose of the Study:
- To introduce an information bottleneck-driven Gaussian PID (IB-GPID) framework for interpreting multimodal survival prediction.
- To enable modality-level interpretation of prognostic information.
- To quantify shared, unique, and synergistic molecular mechanisms in cancer prognosis.
Main Methods:
- Developed an information bottleneck-driven multimodal feature selection approach.
- Implemented continuous survival-target construction using Gaussianization.
- Applied bias-corrected Gaussian PID to decompose survival-predictive information into redundancy, uniqueness, and synergy.
- Benchmarked the framework on TCGA-BRCA and TCGA-LUSC, and validated across 17 TCGA cohorts.
Main Results:
- The IB-GPID framework achieved competitive survival prediction performance.
- Generated stable and biologically interpretable PID profiles.
- Demonstrated that redundancy and synergy, rather than unique information, predominantly encode cancer prognosis.
- Observed synergy in RNA-methylation and RNA-miRNA pairs, suggesting regulatory coordination.
- Found redundancy in RNA-RPPA and methylation-RPPA pairs, indicating shared pathway activity.
Conclusions:
- IB-GPID offers a principled and interpretable method for dissecting multimodal prognostic information.
- The findings highlight the importance of shared and synergistic molecular mechanisms in cancer.
- This framework advances our understanding of the complex interplay of molecular data in predicting patient outcomes.
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