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On the Intrinsic Dimensionality of Image Representations

CVPR 2019 · Label-efficient and robust learning › Recognition and long-tail · approach: Correspondence and causal representation learning · 59 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Map SphereFace to 10 dimensions with DeepMDS instead of retaining its 512-dimensional representationSphereFace · LFW (BLUFR)TAR @ 0.1% FAR: 96.74% -> 92.33%Hurt
Use DeepMDS instead of PCA, Isomap, or DAE for a 10-dimensional mappingSphereFace · LFW (BLUFR)TAR @ 0.1% FAR: 16.04% -> 92.33%; 77.31% -> 92.33%; 6.73% -> 92.33%Helped
Compress ResNet-34 features from 512 to 19 dimensions with DeepMDSResNet-34 with a linear classifier · ImageNet-100Top-1 accuracy: 80.0 -> 68.0Hurt
Use DeepMDS rather than DAE for 19-dimensional featuresResNet-34 with a linear classifier · ImageNet-100Top-1 accuracy: 50.2 -> 68.0Helped
Compress ResNet-34 features from 512 to 19 dimensions with DeepMDSResNet-34 with a k-NN classifier · ImageNet-100Top-1 accuracy: 83.4 -> 77.0Hurt
Use DeepMDS rather than DAE for 19-dimensional featuresResNet-34 with a k-NN classifier · ImageNet-100Top-1 accuracy: 73.4 -> 77.0Helped
Compress SphereFace from 512 to 12 dimensions with DeepMDSSphereFace · IJB-CTAR @ 0.1% FAR: 69.32% -> 62.25%Hurt
Train the ambient-to-intrinsic mapping directly instead of stagewise (ablation)DeepMDS · LFW (BLUFR)TAR @ 0.1% FAR: 92.33 -> 80.25Hurt
Add intermediate supervision to direct mapping (ablation)DeepMDS · LFW (BLUFR)TAR @ 0.1% FAR: 80.25 -> 86.15Helped
Use stagewise training instead of direct mapping with intermediate supervision (ablation)DeepMDS · LFW (BLUFR)TAR @ 0.1% FAR: 86.15 -> 92.33Helped
Add fine-tuning after stagewise training (ablation)DeepMDS · LFW (BLUFR)TAR @ 0.1% FAR: 92.33 -> 90.42Hurt

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