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Main Authors: Li, Shucheng, Jones, Iolo, Tong, Alexander, Bronstein, Michael M.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2606.02237
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author Li, Shucheng
Jones, Iolo
Tong, Alexander
Bronstein, Michael M.
author_facet Li, Shucheng
Jones, Iolo
Tong, Alexander
Bronstein, Michael M.
contents Distribution Matching Distillation (DMD) compresses pretrained diffusion models into efficient few-step generators by aligning their noised distributions across all scales. In principle, such distribution-level supervision remains agnostic to specific noise-data pairings of the teacher; this provides the student the freedom to remap latent noise, a behavior consistently observed in low-dimensional settings. Surprisingly, we find that in high-dimensional settings, distilled students spontaneously reproduce the original noise-data pairings of the teacher, a phenomenon we term copying. We demonstrate that copying is neither a byproduct of adversarial objectives nor a result of teacher memorization. Instead, our evidence suggests that copying is an emergent property arising from the limited geometric freedom of the student model during high-dimensional distillation.
format Preprint
id arxiv_https___arxiv_org_abs_2606_02237
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Why Are DMD Students Lazy? Understanding the Copying Behavior in Few-Step Distillation
Li, Shucheng
Jones, Iolo
Tong, Alexander
Bronstein, Michael M.
Machine Learning
Distribution Matching Distillation (DMD) compresses pretrained diffusion models into efficient few-step generators by aligning their noised distributions across all scales. In principle, such distribution-level supervision remains agnostic to specific noise-data pairings of the teacher; this provides the student the freedom to remap latent noise, a behavior consistently observed in low-dimensional settings. Surprisingly, we find that in high-dimensional settings, distilled students spontaneously reproduce the original noise-data pairings of the teacher, a phenomenon we term copying. We demonstrate that copying is neither a byproduct of adversarial objectives nor a result of teacher memorization. Instead, our evidence suggests that copying is an emergent property arising from the limited geometric freedom of the student model during high-dimensional distillation.
title Why Are DMD Students Lazy? Understanding the Copying Behavior in Few-Step Distillation
topic Machine Learning
url https://arxiv.org/abs/2606.02237