POEMS: Product of Experts for Interpretable Multi-omic Integration using Sparse Decoding

πŸ“… 2025-11-05
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πŸ€– AI Summary
Multi-omics integration faces a fundamental trade-off between interpretability and nonlinear modeling. Method: We propose an unsupervised deep generative model that jointly leverages sparse decoding and Product-of-Experts (PoE) to address this challenge. Specifically: (i) structured sparse connections map raw omics features to shared latent factors, ensuring decoder interpretability; (ii) a gating network dynamically weights each omics modality’s contribution to the latent space; and (iii) the PoE framework enables nonlinear, probabilistic cross-omics fusion. Contribution/Results: Unlike linear decoders or black-box models that sacrifice interpretability, our approach preserves strong nonlinear expressivity while enabling biomarker identification and biologically meaningful cross-omics association analysis. On cancer subtype classification, the model achieves state-of-the-art clustering and classification performance, yielding interpretable, biologically plausible insights.

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πŸ“ Abstract
Integrating different molecular layers, i.e., multiomics data, is crucial for unraveling the complexity of diseases; yet, most deep generative models either prioritize predictive performance at the expense of interpretability or enforce interpretability by linearizing the decoder, thereby weakening the network's nonlinear expressiveness. To overcome this tradeoff, we introduce POEMS: Product Of Experts for Interpretable Multiomics Integration using Sparse Decoding, an unsupervised probabilistic framework that preserves predictive performance while providing interpretability. POEMS provides interpretability without linearizing any part of the network by 1) mapping features to latent factors using sparse connections, which directly translates to biomarker discovery, 2) allowing for cross-omic associations through a shared latent space using product of experts model, and 3) reporting contributions of each omic by a gating network that adaptively computes their influence in the representation learning. Additionally, we present an efficient sparse decoder. In a cancer subtyping case study, POEMS achieves competitive clustering and classification performance while offering our novel set of interpretations, demonstrating that biomarker based insight and predictive accuracy can coexist in multiomics representation learning.
Problem

Research questions and friction points this paper is trying to address.

Overcoming tradeoff between predictive performance and interpretability in multiomics integration
Enabling nonlinear expressiveness while maintaining biomarker discovery capabilities
Providing cross-omic associations through shared latent space without linearization
Innovation

Methods, ideas, or system contributions that make the work stand out.

Sparse connections mapping features to latent factors
Product of experts model for cross-omic associations
Gating network adaptively computes omic contributions
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