Multi-modal contrastive learning adapts to intrinsic dimensions of shared latent variables
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Abstract (arXiv)
Multi-modal contrastive learning as a self-supervised representation learning technique has achieved great success in foundation model training, such as CLIP~citepradford2021learning. In this paper, we study the theoretical properties of the learned representations from multi-modal contrastive learning beyond linear representations and specific data distributions. Our analysis reveals that, enabled by temperature optimization, multi-modal contrastive learning not only maximizes mutual information between modalities but also adapts to intrinsic dimensions of data, which can be much lower than user-specified dimensions for representation vectors. Experiments on both synthetic and real-world datasets demonstrate the ability of contrastive learning to learn low-dimensional and informative representations, bridging theoretical insights and practical performance.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Builds on 38 of its 85 references that are in the map. First posted on arXiv 18 May 2025.
Builds on
38 of 85 references.
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26 more
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Built on by
Citing papers per year: 2025: 2; 2026: 5.
7 papers.
- 2025Global Minimizers of Sigmoid Contrastive Losscited by 5
- 2025IndiSeek learns information-guided disentangled representationscited by 2
- 2026Multi-layer Cross-attention is Provably Optimal for Multi-modal In-context Learningcited by 2
- 2026Learning Molecular Representations from Cellular Phenotypes with Structure Preservationcited by 0
- 2026DAIF: A Data-Driven Intermediate Fusion Framework for Multimodal Supervised Learning via Approximate Message Passingcited by 0
- 2026FiGuRO: Intrinsic Dimension Estimation for Multi-Modal Datacited by 0
- 2026Expressivity In Multimodal Contrastive Learningcited by 0
- 2026Expressivity In Multimodal Contrastive Learning17 Aug 2026
- 2026FiGuRO: Intrinsic Dimension Estimation for Multi-Modal Data11 Aug 2026
- 2026DAIF: A Data-Driven Intermediate Fusion Framework for Multimodal Supervised Learning via Approximate Message Passing3 Aug 2026
- 2026Learning Molecular Representations from Cellular Phenotypes with Structure Preservation3 Aug 2026
- 2026Multi-layer Cross-attention is Provably Optimal for Multi-modal In-context Learning4 Feb 2026
- 2025IndiSeek learns information-guided disentangled representations25 Sep 2025
- 2025Global Minimizers of Sigmoid Contrastive Loss23 Sep 2025