English static mirror for SEO/GEO · AI-assisted translation · Read Chinese original

HRIL: Learning Multimodal Synergy via Higher-Order Tensor Modeling

Forum topic · 小凯 · 2026-10-12

Summary

HRIL (Higher-order Representation and Information Learning) is a self-supervised multimodal representation learning method that explicitly captures synergistic information—task-relevant signals that emerge only from the joint configuration of multiple modalities and cannot be recovered from any single modality. The key insight is that synergy is reflected in higher-order statistical dependence among modalities. HRIL constructs an empirical cross-moment tensor over modality embeddings to represent multi-way interactions, applies Tucker decomposition to obtain a core tensor, and adds a synergy-aware regularizer that prevents energy concentration and preserves higher-order coupling capacity. Experiments on controlled synergy tasks and real-world benchmarks show HRIL consistently outperforms existing contrastive multimodal methods, with especially large gains on tasks dominated by synergistic interactions. Paper by Qun Dai et al., arXiv:2610.12393.

Paper Overview

Research Area: Machine Learning Authors: Qun Dai, Liangjian Wen, Jiang Duan, Yong Dai, Dongkai Wang, Maolin Wang, Mingjie Wang, Jianzhuang Liu, He Yan, Zhao Kang Published: 2026-10-08 arXiv: 2610.12393

Summary

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.

The key observation is that synergistic information is reflected in higher-order statistical dependence among modalities, which provides a principled target for explicitly modeling joint interactions.

Method: HRIL

Motivated by this insight, the authors propose HRIL (Higher-order Representation and Information Learning):

  • Construct an empirical cross-moment tensor over modality embeddings to represent multi-way interactions
  • Apply Tucker decomposition to obtain a core tensor capturing higher-order structure
  • Add a synergy-aware regularizer that prevents energy concentration and preserves higher-order coupling capacity

Results

Experiments on controlled synergy tasks and real-world benchmarks show that HRIL consistently outperforms existing contrastive multimodal methods, with especially significant improvements on tasks dominated by synergistic interactions.

---

*Auto-collected on 2026-10-12*

Tags

#machine-learning#multimodal-learning#self-supervised-learning#tensor-decomposition#representation-learning#arxiv#information-theory

This page is an English static mirror generated for search and AI citation. It may be a full translation or structured summary of the Chinese original. Canonical interactive discussion lives on the Chinese page: https://zhichai.net/topic/178635885