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arXiv 2603.06698cs.CV

突破几何瓶颈:不对称跨模态蒸馏中的对比扩展

Breaking the Geometric Bottleneck: Contrastive Expansion in Asymmetric Cross-Modal Distillation

Kabir Thayani

AI总结:

本研究通过对比扩展方法解决不对称跨模态蒸馏中的维度坍缩问题,揭示了容量与密度之间的权衡关系。

摘要:

在不对称架构之间进行知识蒸馏时,往往会在学习的表示空间中引入严重的几何约束。在本工作中,我们研究了将全局视觉Transformer(CLIP和DINOv2)蒸馏到容量受限的CNN时出现的维度坍缩现象。通过采用严格中心化的SVD和有效秩,我们首先在CIFAR-10上证明了一个与容量无关的相变现象,其中标准余弦蒸馏将表示坍缩到内在的有效秩约为16。为了逆转这一现象,我们整合了一个辅助对比目标(InfoNCE),将学生模型的流形扩展了2.4倍(达到约38个有效维度)。我们进一步证明,尽管DINOv2的均匀几何部分防止了坍缩,但对比扩展仍然是达到CNN拓扑容量极限(约82个维度)的普遍需求。最后,我们揭示了一个关键的容量-密度权衡:在固定流形内过度参数化会引发脆性,而容量受限模型则作为最优低通语义滤波器,成功恢复了固有的噪声免疫性。

英文摘要:

Knowledge distillation between asymmetric architectures often induces severe geometric constraints on the learned representation space. We investigate dimensional collapse when distilling global Vision Transformers into capacity-constrained, local-receptive-field CNNs (0.5M-8.0M parameters). Using strictly centered SVD and Shannon Entropy Effective Rank, we confirm capacity-agnostic collapse under cosine distillation: a CLIP ViT-B/32 Teacher exhibits Effective Rank 88.68 on CIFAR-10, while all cosine-distilled students collapse to ~17 regardless of parameter count. An auxiliary InfoNCE objective expands this to ~41 dimensions. Critically, we ask whether this expansion is functionally useful. Multi-seed linear-probe evaluation shows InfoNCE expansion degrades downstream accuracy by 15-18 points relative to the collapsed baseline, despite more than doubling Effective Rank. A class-structure decomposition traces this to signal dilution: InfoNCE's class-blind uniformity pressure weakens class-discriminative structure in the original dimensions while adding only weakly relevant structure elsewhere. We then test a label-aware alternative, Supervised Contrastive distillation. On CIFAR-100, where we swept student capacity directly, its Effective Rank is invariant to capacity; on CIFAR-10, at a single tested width, it settles to a lower rank while matching baseline accuracy. Sweeping temperature instead of capacity, rank and downstream accuracy increase together monotonically. These results show Effective Rank alone is not a reliable proxy for representation quality: whether expansion helps or harms downstream performance depends on whether the driving objective is label-aware, not the magnitude of expansion itself.

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