arXiv Machine Learning

Prediction-Only Distillation in Linear and Logistic Regression

arXiv:2607. 15450v1 Announce Type: cross Abstract: Self-distillation (SD) is typically studied when the student is retrained on the teacher's original training inputs.

arXiv Machine Learning
Aug 20

Weak-to-Strong Generalization via Bregman Bias-Variance Decomposition

The paper studies weak-to-strong generalization (W2SG), where a student model trained on a weaker teacher’s labels surpasses the teacher on the target task. Using a Bregman divergence bias‑variance decomposition, it shows that the student‑teacher risk gap depends on their expected misfit, without requiring convexity of the student hypothesis class. For squared loss, a sufficient condition is that the student converges to the teacher’s posterior mean, achievable by enlarging the student; for cross‑entropy loss, reducing the student’s predictive entropy and using reverse cross‑entropy can promote W2SG, which is empirically validated.

By Gengze Xu, Wei Yao, Ziqiao Wang, Yong Liu
arXiv AI
6d ago

Teacher-Anchored Selection of Post-Training Quantized Models under Domain Shift

The paper investigates how to choose the best quantized model from a family of compressed versions when target labels are scarce or unavailable. It finds that a simple rule based on minimum teacher distortion consistently selects the same eight‑bit, per‑channel, unclipped configuration, though this does not minimize empirical target cross‑entropy. The study also shows that confidence‑based estimators perform poorly in overconfident regimes, while output‑distribution estimators can outperform the teacher in some architectures, and that combining distortion with a supervised term can improve selection. Across 134 candidate families, teacher‑anchored selection reduces mean regret with very few labels, though the benefit diminishes after about 25 labels.

By Alejandro Rodriguez Dominguez, Muhammad Shahzad, Xia Hong
arXiv AI
Jun 2

DASH: Dual-Branch Score Distillation for Guidance-Calibrated Compact Diffusion Models

arXiv:2606. 00798v1 Announce Type: cross Abstract: Parameter compression of class-conditional diffusion models reveals an underexplored limitation in output-level distillation: the unconditional score branch remains unsupervised, leaving the classifier-free guidance gap underdetermined in the student.

By Abdullah Al Shafi, Kazi Saeed Alam, Sk Imran Hossain, Engelbert Mephu Nguifo
arXiv Machine Learning
Jul 14

Exact Dynamics of Multi-class Stochastic Gradient Descent

arXiv:2510. 14074v2 Announce Type: replace-cross Abstract: We develop a framework for analyzing the learning dynamics of high-dimensional problems trained using one-pass stochastic gradient descent (SGD) with data from multiple anisotropic classes.

By Elizabeth Collins-Woodfin, Inbar Seroussi
arXiv Machine Learning
Aug 27

A Token-Level Analysis of Sampled-Token Reverse-KL On-Policy Distillation

The paper investigates how the sampled-token reverse-KL loss in on‑policy distillation distributes updates across tokens. By analyzing the gradient of the per‑token K2 estimator, the authors find that tokens with low student probability and large teacher‑student gaps receive disproportionately large gradient norms. They propose Surprise‑aware Reweighting (SuRe), a lightweight weighting rule that further amplifies this allocation, and demonstrate that SuRe improves math metrics on Qwen3 student models without harming out‑of‑domain performance.

By Bing Shao, Jiazheng Zhang, Long Ma, Yujiong Shen, Senjie Jin, Xin Guo, Yuming Yang, Mingxu Chai, Zhiheng Xi, Tao Gui, Qi Zhang, Xuanjing Huang
arXiv Machine Learning
2d ago

Activation-Conditioned Self-Distillation

arXiv:2609.38342v1 Announce Type: new Abstract: On-policy self-distillation uses a model as its own teacher to provide dense supervision for reasoning, often through reference-solution conditioning....

By Zhexi Lu, Subhajit Chaudhury, Tejaswini Pedapati, Keerthiram Murugesan, Lei Yu