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Boost Self-Supervised Dataset Distillation via Parameterization, Predefined Augmentation, and Approximation

ICLR 2025 · Label-efficient and robust learning › Self-supervised and contrastive · approach: Invariance-based self-supervised learning

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Extends KRR-ST self-supervised dataset distillation by parameterizing images and representations into PCA-initialized bases with coefficients, predefining rotation augmentations, and using lightweight MLP approximation networks to predict augmented-view representation shifts.

Problem

Self-supervised dataset distillation (distilling images with their self-supervised representations) is storage-heavy, and prior work (KRR-ST) stores each distilled image and representation independently and must drop augmentations due to gradient bias.

Approach

Parameterize distilled images and representations as linear combinations of separate low-dimensional PCA-initialized bases; predefine differentiable augmentations (rotations) and store their representations via lightweight approximation MLPs that predict representation shifts from the unaugmented coefficients.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add image and representation parameterization to KRR-ST (ablation)KRR-ST · CIFAR100 (N=100)accuracy: 47.00 $\pm$0.51 -> 48.57 $\pm$0.18Helped
add predefined augmentation and feature approximation to parameterization (ablation)Ours · CIFAR100 (N=100)accuracy: 48.57 $\pm$0.18 -> 52.41 $\pm$0.10Helped
initialize image and representation bases with principal components and coefficients with projections instead of random values (ablation)Ours · CIFAR100 (N=100)accuracy: 22.05 $\pm$3.04 -> 52.41 $\pm$0.10Helped
use source images to initialize bases and random values to initialize coefficients instead of PC bases and projected coefficients (ablation)Ours · CIFAR100 (N=100)accuracy: 52.41 $\pm$0.10 -> 30.99 $\pm$0.25Hurt
predict augmented representation shifts with approximation networks rather than treating augmented representations as identical (ablation)Ours · CIFAR100 (N=100)accuracy: 50.10 -> 52.41Helped
predict augmented representation shifts with approximation networks rather than a fixed augmentation-specific bias (ablation)Ours · CIFAR100 (N=100)accuracy: 50.32 -> 52.41Helped
use hidden width 8 rather than hidden width 4 in the approximation network (ablation)Ours · CIFAR100 (N=100)accuracy: 52.41 -> 51.19Hurt
use rotation augmentation instead of no augmentation (ablation)Ours · CIFAR100 (N=100)accuracy: 48.57 $\pm$0.18 -> 52.41 $\pm$0.10Helped
use jigsaw augmentation instead of no augmentation (ablation)Ours · CIFAR100 (N=100)accuracy: 48.57 $\pm$0.18 -> 50.93 $\pm$0.21Helped
use crop augmentation instead of no augmentation (ablation)Ours · CIFAR100 (N=100)accuracy: 48.57 $\pm$0.18 -> 51.03 $\pm$0.40Helped
distill with Ours instead of KRR-STCIFAR100 source dataset · CUB2011 (ImageNet source)accuracy: 12.32 -> 12.08Hurt
distill with Ours instead of KRR-STTinyImageNet source dataset · CUB2011accuracy: 11.59 $\pm$0.35 -> 11.11 $\pm$0.26Hurt

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR100 TinyImageNet ImageNet CIFAR10 CUB2011 Stanford Dogs

Benchmarks: CIFAR100 CIFAR10 CUB2011 Stanford Dogs TinyImageNet ImageNet

Metrics: linear evaluation accuracy standard deviation over three runs

Baselines: Random KMeans DSA DM IDM DATM KRR-ST

Builds on: KRR-ST FRePo MTT Barlow Twins

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