ResearchResearch paperMultimodal Models · Interpretability1 source · Oct 8, 2026

HRIL: Learning Multimodal Synergy via Higher-Order Tensor Modeling

Motivated by this insight, we propose Higher-order Representation and Information Learning (HRIL), which constructs an empirical cross-moment tensor over modality embeddings to represent multi-way interactions.

Key points

  • Self-supervised multimodal representation learning has achieved remarkable success across diverse domains, yet capturing synergistic information remains challenging due to the complexity of cross-modal interactions.
  • Unlike the shared information across individual modalities, synergy arises when task-relevant signals emerge only from the joint configuration of multiple modalities and cannot be recovered from any modality in isolation.
  • This work focuses on how to preserve the information capacity for such synergistic signals in multimodal representations.
  • HRIL employs Tucker decomposition to obtain a core tensor, complemented by a synergy-aware regularizer that prevents energy concentration and preserves higher-order coupling capacity for synergistic information capture.

Sources (1)

  • [1]HRIL: Learning Multimodal Synergy via Higher-Order Tensor Modeling
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 8, 05:39 PM
    Motivated by this insight, we propose Higher-order Representation and Information Learning (HRIL), which constructs an empirical cross-moment tensor over modality embeddings to represent multi-way interactions.
    Self-supervised multimodal representation learning has achieved remarkable success across diverse domains, yet capturing synergistic information remains challenging due to the complexity of cross-modal interactions.

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