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cs.LG2026

GRZO: Group-Relative Zeroth-Order Optimization for Large Language Model Fine-Tuning

Liyan Tan, Yequan Zhao, Yifan Yang +3

Zeroth-order (ZO) optimization is a memory-efficient alternative to backpropagation for fine-tuning large language models, but its deployment is limited by the high variance of gra…

cs.LG2026

FuRA: Full-Rank Parameter-Efficient Fine-Tuning with Spectral Preconditioning

Yequan Zhao, Ruijie Zhang, Liyan Tan +3

Both full fine-tuning (Full FT) and parameter-efficient fine-tuning methods such as LoRA introduce weight updates without accounting for the spectral structure established during p…

cs.LG2026

When Does Value-Aware KV Eviction Help? A Fixed-Contract Diagnostic for Non-Monotone Cache Compression

Ruijie Zhang, Haozhe Liang, Da Chang +4

Long-context LLM inference is bottlenecked by the memory and bandwidth cost of reading large KV caches during decoding. KV compression reduces this cost by keeping only part of the…

cs.LG2026

MuonQ: Enhancing Low-Bit Muon Quantization via Directional Fidelity Optimization

Yupeng Su, Ruijie Zhang, Ziyue Liu +2

The Muon optimizer has emerged as a compelling alternative to Adam for training large language models, achieving remarkable computational savings through gradient orthogonalization…

cs.LG2026

Muon: Boosting Muon via Adaptive Second-Moment Preconditioning

Ziyue Liu, Ruijie Zhang, Zhengyang Wang +4

Muon has emerged as a promising optimizer for large-scale foundation model pre-training by exploiting the matrix structure of neural network updates through iterative orthogonaliza…

cs.LG2026

MuonEq: Balancing Before Orthogonalization with Lightweight Equilibration

Da Chang, Qiankun Shi, Lvgang Zhang +5

Orthogonalized-update optimizers such as Muon improve training of matrix-valued parameters, but existing extensions typically either rescale updates after orthogonalization or use…