Cross-Modal Knowledge Distillation without Paired Data: Theoretical Foundation and Algorithm

arXiv cs.AI Papers

Summary

This paper proposes a cross-modal knowledge distillation framework that works without paired data by aligning feature and label distributions, offering theoretical guarantees and outperforming prior methods on multimodal benchmarks.

arXiv:2606.10504v1 Announce Type: new Abstract: Cross-modal knowledge distillation (CMKD) studies how a (large) teacher model trained on one type of data (e.g., images) can guide a (smaller) student model building on another type of data (e.g., text/audio). Existing CMKD methods often require paired multi-modal data with aligned semantics, but obtaining such paired data are often costly and impractical. To mitigate this limitation, we develop a new CMKD framework for the more challenging setting where paired data are unavailable. In particular, we establish a cross-modal distributional relationship between teacher and student models, which reveals two fundamental quantities governing effective distillation: feature alignment and label alignment. These quantities characterize semantic discrepancy between modalities at the levels of representation and prediction distributions, respectively. Motivated by this insight, we propose a principled framework, with theoretical guarantees, that enables effective cross-modal knowledge distillation by aligning distributions rather than individual samples. Extensive experiments across a wide range of multimodal benchmarks show that our framework is highly effective in both unpaired and paired data settings, improving significantly over prior work.
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# Cross-Modal Knowledge Distillation without Paired Data: Theoretical Foundation and Algorithm
Source: [https://arxiv.org/abs/2606.10504](https://arxiv.org/abs/2606.10504)
[View PDF](https://arxiv.org/pdf/2606.10504)

> Abstract:Cross\-modal knowledge distillation \(CMKD\) studies how a \(large\) teacher model trained on one type of data \(e\.g\., images\) can guide a \(smaller\) student model building on another type of data \(e\.g\., text/audio\)\. Existing CMKD methods often require paired multi\-modal data with aligned semantics, but obtaining such paired data are often costly and impractical\. To mitigate this limitation, we develop a new CMKD framework for the more challenging setting where paired data are unavailable\. In particular, we establish a cross\-modal distributional relationship between teacher and student models, which reveals two fundamental quantities governing effective distillation: feature alignment and label alignment\. These quantities characterize semantic discrepancy between modalities at the levels of representation and prediction distributions, respectively\. Motivated by this insight, we propose a principled framework, with theoretical guarantees, that enables effective cross\-modal knowledge distillation by aligning distributions rather than individual samples\. Extensive experiments across a wide range of multimodal benchmarks show that our framework is highly effective in both unpaired and paired data settings, improving significantly over prior work\.

## Submission history

From: Khiem Tran Trong \[[view email](https://arxiv.org/show-email/9b266a36/2606.10504)\] **\[v1\]**Tue, 9 Jun 2026 07:29:12 UTC \(1,693 KB\)

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