Teacher Supervision over Representation Equivalence Classes

📰 ArXiv cs.AI

Learn how teacher supervision over representation equivalence classes improves knowledge distillation by focusing on the equivalence class rather than absolute coordinates

advanced Published 7 Jul 2026
Action Steps
  1. Identify the representation equivalence class of a pretrained teacher model using orthogonal-and-isotropic-scaling transformations
  2. Apply teacher supervision over the equivalence class to guide the training of a student model
  3. Compare the performance of the student model trained with equivalence class supervision to one trained with traditional logits or feature matching
  4. Configure the student model to learn the teacher's equivalence class rather than its absolute features
  5. Test the robustness of the student model to different orthogonal-and-isotropic-scaling transformations of the teacher's representation
Who Needs to Know This

ML researchers and engineers working on knowledge distillation can benefit from this approach to improve the performance of their student models

Key Insight

💡 A pretrained representation is identifiable only up to an orthogonal-and-isotropic-scaling equivalence class, so supervising over the equivalence class can improve knowledge distillation

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🤖 Improve knowledge distillation by supervising over representation equivalence classes rather than absolute coordinates! #AI #ML

Key Takeaways

Learn how teacher supervision over representation equivalence classes improves knowledge distillation by focusing on the equivalence class rather than absolute coordinates

Full Article

Title: Teacher Supervision over Representation Equivalence Classes

Abstract:
arXiv:2607.03572v1 Announce Type: cross Abstract: Knowledge distillation is usually framed as a choice of what to match in the teacher - its logits, hidden features, or sample relations - which presupposes that the teacher's representation has absolute coordinates to match. It does not: a pretrained representation is identifiable only up to an orthogonal-and-isotropic-scaling equivalence class, so a student should learn the teacher's equivalence class, not its features. The organizing fact is th
Read full paper → ← Back to Reads

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