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20232026
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cs.LG2026

Unveiling Memorization-Generalization Coexistence: A Case Study on Arithmetic Tasks with Label Noise

Linyu Liu, Pinyan Lu

Highly over-parameterized models can simultaneously memorize noisy labels and generalize well, yet how these behaviors coexist remains poorly understood. In this work, we investiga…

cs.LG2026

SHAPE: Stage-aware Hierarchical Advantage via Potential Estimation for LLM Reasoning

Zhengyang Ai, Zikang Shan, Xiaodong Ai +3

Process supervision has emerged as a promising approach for enhancing LLM reasoning, yet existing methods fail to distinguish meaningful progress from mere verbosity, leading to li…

cs.LG2026

BAPS: A Fine-Grained Low-Precision Scheme for Softmax in Attention via Block-Aware Precision reScaling

Zisheng Ye, Xiaoyu He, Maoyuan Song +10

As the performance gains from accelerating quantized matrix multiplication plateau, the softmax operation becomes the critical bottleneck in Transformer inference. This bottleneck…

cs.LG2026

A Provable Expressiveness Hierarchy in Hybrid Linear-Full Attention

Xiaowei Ye, Xiaoyu He, Chao Liao +2

Transformers serve as the foundation of most modern large language models. To mitigate the quadratic complexity of standard full attention, various efficient attention mechanisms,…

cs.LG2026

Muon in Associative Memory Learning: Training Dynamics and Scaling Laws

Binghui Li, Kaifei Wang, Han Zhong +2

Muon updates matrix parameters via the matrix sign of the gradient and has shown strong empirical gains, yet its dynamics and scaling behavior remain unclear in theory. We study Mu…