A Label is Worth a Thousand Images in Dataset Distillation

TL;DR

This paper reveals that the key to effective dataset distillation is the use of structured soft labels rather than the synthetic data itself, challenging previous assumptions and providing new insights into data-efficient learning.

Contribution

The study demonstrates that soft labels with structured information are crucial for dataset distillation success, shifting focus from synthetic data generation to label quality.

Findings

Soft labels are the main factor in distillation performance.

Structured soft labels outperform unstructured ones.

Scaling laws relate soft label effectiveness to images-per-class.

Abstract

Data $\textit{quality}$ is a crucial factor in the performance of machine learning models, a principle that dataset distillation methods exploit by compressing training datasets into much smaller counterparts that maintain similar downstream performance. Understanding how and why data distillation methods work is vital not only for improving these methods but also for revealing fundamental characteristics of "good" training data. However, a major challenge in achieving this goal is the observation that distillation approaches, which rely on sophisticated but mostly disparate methods to generate synthetic data, have little in common with each other. In this work, we highlight a largely overlooked aspect common to most of these methods: the use of soft (probabilistic) labels. Through a series of ablation experiments, we study the role of soft labels in depth. Our results reveal that the main factor explaining the performance of state-of-the-art distillation methods is not the specific techniques used to generate synthetic data but rather the use of soft labels. Furthermore, we demonstrate that not all soft labels are created equal; they must contain $\textit{structured information}$ to be beneficial. We also provide empirical scaling laws that characterize the effectiveness of soft labels as a function of images-per-class in the distilled dataset and establish an empirical Pareto frontier for data-efficient learning. Combined, our findings challenge conventional wisdom in dataset distillation, underscore the importance of soft labels in learning, and suggest new directions for improving distillation methods. Code for all experiments is available at https://github.com/sunnytqin/no-distillation.