GOMA: Toward Structure-Driven Multimodal Alignment from a Graph Signal Smoothing Perspective

Xu Wang, Xunkai Li, Yinlin Zhu, Rong-Hua Li, Guoren Wang
5/15/2026
cs.LGcs.CV

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Abstract

Multimodal alignment is commonly learned from isolated image-text pairs via CLIP-style dual encoders, leaving the relational context among entities largely unused. Multimodal attributed graphs (MAGs), where nodes carry multimodal attributes and edges encode corpus structure, provide a natural setting for refining frozen vision-language embeddings. This refinement is challenging: visual, textual, and cross-modal relations often induce different neighborhood geometries, while unrestricted graph propagation can quickly over-smooth retrieval representations. Effectively leveraging graph context therefore requires simultaneously breaking modality-specific topological barriers, controlling the smoothing regime, and preserving informative smoothing before semantic boundaries collapse. We propose Graph-Optimized Multimodal Alignment (GOMA), a structure-driven post-alignment framework that views frozen multimodal embeddings as graph signals and addresses these requirements through a unified retrieval-oriented design. GOMA decouples three key design choices: where messages should flow, how multimodal evidence should propagate, and which smoothing depth should be retained. Concretely, it learns modality-aware propagation operators, performs finite-step coupled smoothing without diagonal cross-modal shortcuts, and adaptively reads out node-specific smoothing trajectories to preserve useful smoothing before collapse. All experiments follow a transductive MAG retrieval protocol where the graph serves only as unlabeled context and diagonal self-pair edges are removed. On seven MAG benchmarks, GOMA achieves state-of-the-art or tied state-of-the-art retrieval and remains substantially more stable than the strongest graph competitor, demonstrating that MAG structure can serve as an effective post-encoder for frozen multimodal embeddings.

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Cite this paper

@article{wang2026goma,
  title  = {GOMA: Toward Structure-Driven Multimodal Alignment from a Graph Signal Smoothing Perspective},
  author = {Xu Wang and Xunkai Li and Yinlin Zhu and Rong-Hua Li and Guoren Wang},
  year   = {2026},
  eprint = {2605.15723},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2605.15723v1}
}

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