Hyperbolic Insights With Knowledge Distillation for Cross-Domain Few-Shot Learning

Cross-domain few-shot learning aims to achieve swift generalization between a source domain and a target domain using a limited number of images. Current research predominantly relies on generalized feature embeddings, employing metric classifiers in Euclidean space for classification. However, due to existing disparities among different data domains, attaining generalized features in the embedding becomes challenging. Additionally, the rise in data domains leads to high-dimensional Euclidean spaces. To address the above problems, we introduce a cross-domain few-shot learning method named Hyperbolic Insights with Knowledge Distillation (HIKD). By integrating knowledge distillation, it enhances the model's generalization performance, thereby significantly improving task performance. Hyperbolic space, in comparison to Euclidean space, offers a larger capacity and supports the learning of hierarchical structures among images, which can aid generalized learning across different data domains. So we map the Euclidean space features to the hyperbolic space via hyperbolic embedding and utilize hyperbolic fitting distillation method in the meta-training phase to obtain multi-domain unified generalization representation. In the meta-testing phase, accounting for biases between the source and target domains, we present a hyperbolic adaptive module to adjust embedded features and eliminate inter-domain gap. Experiments on the Meta-Dataset demonstrate that HIKD outperforms state-of-the-arts methods with the average accuracy of 80.6%.