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cs.LG2026

Rethinking Muon Beyond Pretraining: Spectral Failures and High-Pass Remedies for VLA and RLVR

Chongyu Fan, Gaowen Liu, Mingyi Hong +2

Muon is a matrix-aware optimizer that leverages Newton-Schulz (NS) iterations to enforce spectral gradient orthogonalization by driving all singular values of the momentum matrix t…

cs.LG2026

Revisiting the Adam-SGD Gap in LLM Pre-Training: The Role of Large Effective Learning Rates

Athanasios Glentis, Dawei Li, Chung-Yiu Yau +1

It is widely believed that stochastic gradient descent (SGD) performs significantly worse than adaptive optimizers such as Adam in pre-training Large Language Models (LLMs). Yet th…

cs.LG2026

Subspace Control: Turning Constrained Model Steering into Controllable Spectral Optimization

Yancheng Huang, Changsheng Wang, Chongyu Fan +7

Foundation models, such as large language models (LLMs), are powerful but often require customization before deployment to satisfy practical constraints such as safety, privacy, an…

cs.LG2026

Powering Up Zeroth-Order Training via Subspace Gradient Orthogonalization

Yicheng Lang, Changsheng Wang, Yihua Zhang +4

Zeroth-order (ZO) optimization provides a gradient-free alternative to first-order (FO) methods by estimating gradients via finite differences of function evaluations, and has rece…

cs.LG2025

Leak@: Unlearning Does Not Make LLMs Forget Under Probabilistic Decoding

Hadi Reisizadeh, Jiajun Ruan, Yiwei Chen +3

Unlearning in large language models (LLMs) is critical for regulatory compliance and for building ethical generative AI systems that avoid producing private, toxic, illegal, or cop…

cs.LG2025

EPiC: Towards Lossless Speedup for Reasoning Training through Edge-Preserving CoT Condensation

Jinghan Jia, Hadi Reisizadeh, Chongyu Fan +3

Large language models (LLMs) have shown remarkable reasoning capabilities when trained with chain-of-thought (CoT) supervision. However, the long and verbose CoT traces, especially…