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    Area of Science:

    • Computational biology
    • Medical informatics
    • Bioinformatics

    Background:

    • Cox proportional hazard models are standard for cancer prognosis.
    • Multi-modal data (histopathology, gene expression) offer rich phenotype and genotype insights.
    • Existing Cox models struggle with high-dimensional data fusion and feature selection.

    Purpose of the Study:

    • To develop a novel Cox-driven framework for multi-modal cancer prognosis.
    • To address challenges in fusing and selecting features from high-dimensional data for Cox models.
    • To enhance cancer prognosis by learning a latent shared feature space tailored for Cox modeling.

    Main Methods:

    • Proposed a Cox-driven multi-constraint latent representation learning framework.
    • Employed a bi-mapping approach to learn a multi-modal latent space.
    • Incorporated ranking (Cox log-partial likelihood) and regression (survival time) constraints.
    • Added similarity and sparsity constraints for improved generalization and reduced overfitting.

    Main Results:

    • The proposed method achieved superior performance compared to state-of-the-art Cox-based models.
    • Demonstrated effectiveness on three datasets from The Cancer Genome Atlas (TCGA).
    • Successfully fused high-dimensional histopathological and gene expression data.

    Conclusions:

    • The novel framework offers an effective approach for cancer prognosis using multi-modal data.
    • Learning a task-specific latent space with multi-modal constraints enhances Cox model performance.
    • The method provides a promising direction for integrating diverse biological data in survival analysis.