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Gramian Multimodal Representation Learning and Alignment

ICLR 2025 · Vision-language and multimodal › Cross-modal learning · approach: Multimodal fusion with missing modalities · 0 citations (OpenAlex)

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Proposes GRAM, a Gramian-volume similarity measure over n modality embeddings, and a GRAM-based contrastive loss used to further pretrain VAST for video-audio-text retrieval and audio-text classification.

Problem

Pairwise cosine-similarity contrastive alignment of multimodal models (each modality to an anchor) does not ensure alignment among all modalities, hurting tasks needing joint multimodal understanding.

Approach

Measure alignment of k modality embeddings by the Gramian volume (sqrt determinant of Gram matrix) of the parallelotope they span, and use a volume-based contrastive loss so all modalities are aligned jointly; reduces to sine of angle for two modalities.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace pairwise cosine contrastive alignment with GRAM-based alignmentVAST multimodal model · MSR-VTT zero-shot T2VR@1: 49.3 -> 54.2Helped
Replace pairwise cosine contrastive alignment with GRAM-based alignmentVAST multimodal model · DiDeMo zero-shot T2VR@1: 49.5 -> 54.2Helped
Replace pairwise cosine contrastive alignment with GRAM-based alignmentVAST multimodal model · ActivityNet zero-shot T2VR@1: 51.4 -> 59.0Helped
Replace pairwise cosine contrastive alignment with GRAM-based alignmentVAST multimodal model · MSR-VTT finetuned T2VR@1: 56.6 -> 64.0Helped
Replace pairwise cosine contrastive alignment with GRAM-based alignmentVAST multimodal model · AudioCaps zero-shot text-to-audioR@10: 65.4 -> 75.3Helped
Add audio to text-video inputs (ablation)GRAM model · MSR-VTT zero-shot T2VR@1: 52.8 -> 54.1Helped
Add subtitles to text-video-audio inputs (ablation)GRAM model · MSR-VTT zero-shot T2VR@1: 54.1 -> 54.8Helped
Add depth to text-video-audio-subtitles inputs (ablation)GRAM model · MSR-VTT zero-shot T2VR@1: 54.8 -> 55.3Helped
Add DAM to GRAM D2A+A2D losses (ablation)GRAM model · MSR-VTT from scratch T2VR@1: 38.0 -> 38.9Helped
Add DAM to GRAM D2A+A2D losses (ablation)GRAM model · ActivityNet from scratch T2VR@1: 30.0 -> 30.2Helped
Use GRAM D2A+A2D+DAM instead of pairwise TV+TA cosine losses (ablation)GRAM model · MSR-VTT from scratch T2VR@1: 36.4 -> 38.9Helped
Use GRAM D2A+A2D+DAM instead of pairwise TV+TA cosine losses (ablation)GRAM model · ActivityNet from scratch T2VR@1: 23.6 -> 30.2Helped

Surprising findings

Limitations

Experimental setup

Datasets: VAST27M MSR-VTT VATEX DiDeMo ActivityNet AudioCaps VGGSound

Benchmarks: MSR-VTT DiDeMo ActivityNet VATEX AudioCaps VGGSound 5K

Metrics: R@1 R@10 Acc@1 Acc@10

Baselines: VAST LanguageBind ImageBind UMT-L InternVideo-L VideoPrism-b mPLUG-2 ViCLIP

Builds on: CLIP VAST ImageBind LanguageBind

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