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Joint Distribution Matters: Deep Brownian Distance Covariance for Few-Shot Classification

CVPR 2022 · Label-efficient and robust learning › Zero-/few-shot and meta-learning · approach: Embedding adaptation for few-shot classification · 298 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use BDC representations instead of marginal-moment representationsDeepBDC versus ProtoNet, CovNet and ADM · miniImageNet 5-way 1-shot and 5-shotaccuracy: 67.34$\pm$0.43 vs 62.11$\pm$0.44; 84.46$\pm$0.28 vs 82.05$\pm$0.29Helped
Use STL DeepBDC rather than Good-EmbedSTL DeepBDC · miniImageNet 5-way 1-shot and 5-shotaccuracy: 67.83$\pm$0.43 vs 64.82$\pm$0.44; 85.45$\pm$0.29 vs 82.14$\pm$0.43Helped
Use BDC joint-distribution representationsSTL DeepBDC · tieredImageNet and CUBaccuracyHelped
Set Meta DeepBDC channel dimension to 640 (ablation)Meta DeepBDC · miniImageNet 5-way 1-shot and 5-shotaccuracy: 67.34$\pm$0.43; 84.46$\pm$0.28Helped
Replace inner product with cosine similarity (ablation)Meta DeepBDC · miniImageNet 5-way 1-shotaccuracy: 67.34$\pm$0.43 -> 61.74$\pm$0.42Hurt
Replace inner product with Euclidean distance (ablation)Meta DeepBDC · miniImageNet 5-way 1-shotaccuracy: 67.34$\pm$0.43 -> 56.70$\pm$0.45Hurt
Replace inner product with Euclidean distance (ablation)Meta DeepBDC · miniImageNet 5-way 5-shotaccuracy: 84.46$\pm$0.28 -> 84.46$\pm$0.28No clear effect
Set STL DeepBDC channel dimension to 128 (ablation)STL DeepBDC · miniImageNet 5-way 1-shot and 5-shotaccuracy: 67.83$\pm$0.43; 85.45$\pm$0.30Helped
Replace logistic regression with SVM (ablation)STL DeepBDC · miniImageNet 5-way 1-shot and 5-shotaccuracy: 67.83$\pm$0.43 -> 66.29$\pm$0.44; 85.45$\pm$0.30 -> 84.73$\pm$0.29Hurt
Replace logistic regression with softmax classifier (ablation)STL DeepBDC · miniImageNet 5-way 1-shot and 5-shotaccuracy: 67.83$\pm$0.43 -> 66.30$\pm$0.44; 85.45$\pm$0.30 -> 85.20$\pm$0.29Mixed
Average support features before computing the prototype BDC matrix (ablation)Meta DeepBDC · miniImageNet 5-way 5-shotaccuracy: 84.46 -> 82.36Hurt
Concatenate support features before computing the prototype BDC matrix (ablation)Meta DeepBDC · miniImageNet 5-way 5-shotaccuracy: 84.46 -> 83.74Hurt

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