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Towards Lossless Dataset Distillation via Difficulty-Aligned Trajectory Matching

ICLR 2024 · Label-efficient and robust learning › Knowledge distillation · approach: Self and data-free distillation · 4 citations (OpenAlex)

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Proposes DATM, a trajectory-matching dataset distillation method that aligns the difficulty of matched expert trajectory segments with synthetic set size, plus learnable soft labels and sequential generation, reaching lossless distillation on CIFAR-10/100 and Tiny ImageNet with ConvNet.

Problem

Dataset distillation methods become ineffective as the synthetic set size (IPC) grows, often performing worse than random selection, so no method has matched full-dataset performance (lossless distillation).

Approach

Early expert trajectories induce easy patterns that suit small synthetic sets, while late trajectories induce hard patterns that suit large ones; DATM restricts the matching range to a difficulty-aligned window that expands over distillation, and learns soft labels initialized from correctly classified samples with sequential generation for stability.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DATM instead of the strongest same-architecture baselineConvNet dataset distillation · CIFAR-100, IPC=50accuracy: 48.5±0.3 -> 55.0±0.2Helped
Add difficulty alignment (ablation)DATM with soft labels · CIFAR-100, IPC=50accuracy: 52.96 -> 55.03Helped
Add soft labels (ablation)DATM with difficulty alignment · CIFAR-100, IPC=50accuracy: 50.79 -> 55.03Helped
Add label learning (ablation)DATM without sequential generation · CIFAR-10, IPC=50accuracy: 72.8 -> 75.0Helped
Add sequential generation (ablation)DATM without label learning · CIFAR-10, IPC=50accuracy: 72.8 -> 75.6Helped
Add sequential generation to label learning (ablation)DATM · CIFAR-10, IPC=50accuracy: 75.0 -> 76.1Helped
Match early rather than late expert trajectoriesTrajectory matching with low IPC · CIFAR-10, low IPCaccuracyHelped
Match late rather than early expert trajectoriesTrajectory matching with high IPC · CIFAR-10, high IPCaccuracyHelped
Assign soft labels to FTD distilled data (ablation)FTD · CIFAR-10, IPC=1 and IPC=50accuracy: 46.0 -> 45.5; 73.2 -> 72.8Mixed
Assign soft labels to FTD distilled data (ablation)FTD · CIFAR-100, IPC=10 and IPC=50accuracy: 42.5 -> 44.5; 48.5 -> 51.2Helped
Initialize synthetic data from correctly classified real samples (ablation)DATM · CIFAR-100, IPC=10optimization convergence speedHelped
Optimize soft labels during distillation instead of keeping them fixed (ablation)DATM · Dataset distillationmatching lossHelped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 CIFAR-100 Tiny ImageNet

Benchmarks: CIFAR-10 CIFAR-100 Tiny ImageNet

Metrics: test accuracy

Baselines: Random DC DM DSA CAFE KIP FRePo RCIG MTT TESLA FTD Glister

Builds on: MTT FTD dataset pruning difficulty findings

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