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    Area of Science:

    • Computational Biology
    • Data Visualization
    • Machine Learning

    Background:

    • Unsupervised dimensionality reduction methods like PHATE, t-SNE, and UMAP often fail to capture biologically relevant structures tied to expert labels.
    • Integrating expert knowledge is crucial for deeper insights into complex biological datasets.

    Approach:

    • Introduced RF-PHATE, a supervised dimensionality reduction technique leveraging random forests to capture feature-label relationships.
    • RF-PHATE generates low-dimensional visualizations by extracting information from random forests, prioritizing relevant features and disregarding noise.
    • The method is scalable to large datasets and applicable to both classification and regression tasks.

    Key Points:

    • Demonstrated RF-PHATE's utility in identifying a non-benign relapsing-remitting Multiple Sclerosis subgroup from longitudinal clinical and imaging data.
    • Showcased RF-PHATE's proficiency in noisy environments by analyzing Raman spectral data to visualize antioxidant effects on lung cells.
    • Applied RF-PHATE to COVID-19 patient data, aligning geometric structures with outcomes for hierarchical interpretability.

    Conclusions:

    • RF-PHATE effectively bridges expert insights with data visualization, facilitating knowledge generation.
    • The method's adaptability, scalability, and noise tolerance suggest broad applicability in biological data analysis.