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C2KD: Bridging the Modality Gap for Cross-Modal Knowledge Distillation
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Proposes C2KD, a cross-modal knowledge distillation method that bidirectionally updates teacher and student, filters rank-misaligned samples via Kendall rank correlation, distills non-target classes, and uses proxy student/teacher heads to transfer knowledge across modalities.
Problem
Traditional knowledge distillation fails when knowledge must be transferred from a teacher modality to a different student modality (CMKD), due to modality imbalance and soft label misalignment across modalities.
Approach
Bidirectionally tune the pre-trained teacher with the student, select samples with Kendall-rank-consistent soft labels (OFSD), distill only non-target-class knowledge, and add proxy student/teacher heads that progressively pass cross-modal knowledge.
Key results
- On AVE, C2KD reaches 34.7% visual accuracy (vs 31.6% w/o KD and 32.9% for the best prior KD, NKD) and 54.9% audio accuracy (vs 52.8% w/o KD).
- On VGGSound, C2KD gives 40.9% visual and 61.9% audio accuracy, versus 38.7% and 59.4% without KD.
- On NYU-Depth V2 segmentation, C2KD improves depth-to-RGB mIoU to 37.5 (RN18 pair) vs 36.1 w/o KD and 37.3 for CIRKD.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use C2KD instead of the strongest listed baseline | Cross-modal distillation · AVE Visual | top-1 accuracy (%): 32.9 -> 34.7 | Helped |
| Use C2KD instead of the strongest listed baseline | Cross-modal distillation · AVE Audio | top-1 accuracy (%): 52.2 -> 54.9 | Helped |
| Use C2KD instead of the strongest listed baseline | Cross-modal distillation · VGGSound Visual | top-1 accuracy (%): 39.2 -> 40.9 | Helped |
| Use C2KD instead of the strongest listed baseline | Cross-modal distillation · VGGSound Audio | top-1 accuracy (%): 59.3 -> 61.9 | Helped |
| Replace KL loss with DIST loss (ablation) | C2KD on NYU-Depth V2 · NYU-Depth V2 RGB, ResNet-18/ResNet-18 | mIoU (%): 37.5 -> 38.1 | Helped |
| Remove proxy teacher and proxy student (ablation) | C2KD · AVE Visual | top-1 accuracy (%): 34.6 -> 34.7 | Hurt |
| Remove proxy teacher and proxy student (ablation) | C2KD · AVE Audio | top-1 accuracy (%): 54.3 -> 54.9 | Hurt |
| Add bidirectional distillation to vanilla KD (ablation) | C2KD · AVE Audio | top-1 accuracy (%): 46.6 -> 47.9 | Helped |
| Add on-the-fly sample selection and non-target-class distillation (ablation) | C2KD · AVE Audio | top-1 accuracy (%): 47.9 -> 54.3 | Helped |
| Filter samples by Kendall Rank Correlation instead of random filtering (ablation) | Non-target-class KD · AVE Audio | top-1 accuracy (%): 50.2 -> 51.0 | Helped |
| Use target-class KD (ablation) | Cross-modal KD · AVE Audio | top-1 accuracy (%): 52.8 -> 48.0 | Hurt |
| Use target-class KD (ablation) | Cross-modal KD · VGGSound Audio | top-1 accuracy (%): 59.4 -> 55.8 | Hurt |
Surprising findings
- Naive traditional KD (e.g., KD, DIST, NKD) often degrades the high-accuracy audio student when distilling from a visual teacher, and multimodal teachers with high accuracy do not necessarily improve the distilled modality.
- Self-knowledge distillation methods improve each modality but still underperform C2KD, which the authors take as evidence for the necessity of cross-modal KD.
Limitations
- Feature-based cross-modal distillation is not solved; the authors observe large CKA divergence and leave it to future work.
- Hyperparameters (KRC threshold omega, lambda weights) are set heuristically and sensitivity varies across settings.
- Experiments cover only a few modality pairs and a 50-class VGGSound subset.
Experimental setup
Datasets: CREMA-D AVE VGGSound CrisisMMD NYU-Depth V2
Benchmarks: CREMA-D AVE VGGSound CrisisMMD NYU-Depth V2
Metrics: top-1 accuracy mIoU
Baselines: KD FitNet Review DML SHAKE RKD DKD DIST NKD CIRKD DLB ZipfKD
Builds on: Knowledge distillation (Hinton et al.) DKD DML SHAKE NKD Modality Focusing Hypothesis
Closest papers by meaning
- Learning Modality Knowledge Alignment for Cross-Modality Transfer (ICML 2024 · similarity 0.89)
- XKD: Cross-Modal Knowledge Distillation with Domain Alignment for Video Representation Learning (AAAI 2024 · similarity 0.88)
- Cooperative Knowledge Distillation: A Learner Agnostic Approach (AAAI 2024 · similarity 0.87)
- Align-KD: Distilling Cross-Modal Alignment Knowledge for Mobile Vision-Language Large Model Enhancement (CVPR 2025 · similarity 0.86)
- Probabilistic Conformal Distillation for Enhancing Missing Modality Robustness (NeurIPS 2024 · similarity 0.86)
- DeepKD: A Deeply Decoupled and Denoised Knowledge Distillation Trainer (NeurIPS 2025 · similarity 0.86)
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