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Learnable Expansion of Graph Operators for Multi-Modal Feature Fusion

ICLR 2025 · Vision-language and multimodal › Cross-modal learning · approach: Multi-modality image fusion · 2 citations (OpenAlex)

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Proposes EGO fusion, which builds similarity relationship graphs from unit-level features, expands them with iterative element-wise graph updates, and fuses them with a learnable operator for video anomaly detection.

Problem

Common feature fusion methods (concatenation, element-wise ops, attention, neural fusion) capture shallow interactions, miss structural relationships, and are costly in high-dimensional space, especially for multi-representational, multi-modal, and multi-domain features.

Approach

Move fusion from feature space to a lower-dimensional homogeneous relationship-graph space: expand each similarity graph by iterative element-wise multiplications, then fuse two graph sequences with a learnable coefficient matrix A, interpreted as a multilinear polynomial in relationship scores.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use EGO instead of feature-level MTN fusionVideo anomaly detection fusion · UCSD Ped2AUC: 92.80 -> 93.23Helped
Use EGO instead of feature-level MTN fusionVideo anomaly detection fusion · ShanghaiTechAUC: 96.37 -> 97.26Helped
Use EGO instead of feature-level MTN fusionVideo anomaly detection fusion · CUHK AvenueAUC: 62.06 -> 83.10Helped
Use EGO instead of the strongest listed feature-level baseline, ProductVideo anomaly detection fusion · Street SceneAUC: 75.59 -> 77.61Helped
Use EGO rather than MTN for multi-representational fusionFeature fusion on ShanghaiTech · ShanghaiTech (I3D + C3D)AUC: 89.25 -> 87.17Hurt
Use EGO rather than MTN for multi-representational fusionFeature fusion on ShanghaiTech · ShanghaiTech (I3D + SwinT; C3D + SwinT)AUC: 88.80 -> 89.85; 84.45 -> 85.52Helped
Train jointly on Ped2 and ShanghaiTech with EGO rather than MTNMulti-domain video anomaly detection · ShanghaiTech test splitAUC: 96.04 -> 95.10Hurt
Train jointly on Ped2 and ShanghaiTech with EGO rather than MTNMulti-domain video anomaly detection · Ped2 + ShanghaiTech test splitAUC: 94.60 -> 92.11Hurt
Use EGO instead of MTN fusionLarge-scale anomaly detection · XD-ViolenceAP: 77.17 -> 65.77Hurt
Use EGO instead of MTN fusionLarge-scale anomaly detection · UCF-CrimeAUC: 85.14 -> 81.71Hurt
Use EGO rather than MTN for multi-modal fusionVideo anomaly detection fusion · ShanghaiTech (Visual + Text)AUC: 96.37 -> 97.26Helped

Surprising findings

Limitations

Experimental setup

Datasets: UCSD Ped2 ShanghaiTech CUHK Avenue Street Scene XD-Violence UCF-Crime MSAD

Benchmarks: UCSD Ped2 ShanghaiTech CUHK Avenue Street Scene XD-Violence UCF-Crime MSAD

Metrics: AUC AP

Baselines: Concatenation Addition Product MTN fusion I3D visual only Text only MIST UR-DMU MGFN RTFM

Builds on: MTN fusion graph powers Graph Convolutional Networks

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