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Main Authors: Xiong, Jiayu, Wang, Jing, Zhang, Qi, Wang, Wanlong, Xue, Jun
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.31193
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author Xiong, Jiayu
Wang, Jing
Zhang, Qi
Wang, Wanlong
Xue, Jun
author_facet Xiong, Jiayu
Wang, Jing
Zhang, Qi
Wang, Wanlong
Xue, Jun
contents Real-world multimodal systems must be robust against low-quality data, such as sensor noise, incomplete multimodal data and conflicting inputs. However, existing trustworthy fusion methods rely on the model's own prediction confidence to judge data quality. This creates a circular dependency: when a model is confident but wrong, these methods fail to detect the error. To break this loop, we propose Geometry-based Multimodal Fusion (GMF). Instead of relying on predictions, we evaluate reliability by measuring how much transport correction the input needs in latent space. We implement Diffusion Schrödinger Bridge transport with Rectified Flow, where the squared initial velocity gives an efficient learned correction score. Valid data has low squared velocity magnitude, while noisy, incomplete data or conflicting data requires stronger transport correction. This geometry-based reliability signal acts as an independent judge, effectively flagging unreliable inputs even when the classifier is fooled. Extensive experiments demonstrate that GMF significantly improves robustness against severe sensor noise and semantic conflicts compared to confidence-based baselines.
format Preprint
id arxiv_https___arxiv_org_abs_2605_31193
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Geometry-based Schrödinger Bridges for Trustworthy Multimodal Fusion
Xiong, Jiayu
Wang, Jing
Zhang, Qi
Wang, Wanlong
Xue, Jun
Machine Learning
Real-world multimodal systems must be robust against low-quality data, such as sensor noise, incomplete multimodal data and conflicting inputs. However, existing trustworthy fusion methods rely on the model's own prediction confidence to judge data quality. This creates a circular dependency: when a model is confident but wrong, these methods fail to detect the error. To break this loop, we propose Geometry-based Multimodal Fusion (GMF). Instead of relying on predictions, we evaluate reliability by measuring how much transport correction the input needs in latent space. We implement Diffusion Schrödinger Bridge transport with Rectified Flow, where the squared initial velocity gives an efficient learned correction score. Valid data has low squared velocity magnitude, while noisy, incomplete data or conflicting data requires stronger transport correction. This geometry-based reliability signal acts as an independent judge, effectively flagging unreliable inputs even when the classifier is fooled. Extensive experiments demonstrate that GMF significantly improves robustness against severe sensor noise and semantic conflicts compared to confidence-based baselines.
title Geometry-based Schrödinger Bridges for Trustworthy Multimodal Fusion
topic Machine Learning
url https://arxiv.org/abs/2605.31193