Phase Diagram of Initial Condensation for Two-layer Neural Networks. - Zhengan Chen; Yuqing Li; Tao Luo 012; Zhangchen Zhou; Zhi-Qin John Xu (CoRR, 2023)

Understanding the Initial Condensation of Convolutional Neural Networks. - Zhangchen Zhou; Hanxu Zhou; Yuqing Li; Zhi-Qin John Xu (CoRR, 2023)

Anchor function: a type of benchmark functions for studying language models. - Zhongwang Zhang; Zhiwei Wang; Junjie Yao; Zhangchen Zhou; Xiaolong Li; Weinan E; Zhi-Qin John Xu (CoRR, 2024)

Towards Understanding How Transformer Perform Multi-step Reasoning with Matching Operation. - Zhiwei Wang; Yunji Wang; Zhongwang Zhang; Zhangchen Zhou; Hui Jin; Tianyang Hu; Jiacheng Sun; Zhenguo Li; Yaoyu Zhang; Zhi-Qin John Xu (CoRR, 2024)

A rationale from frequency perspective for grokking in training neural network. - Zhangchen Zhou; Yaoyu Zhang; Zhi-Qin John Xu (CoRR, 2024)

An overview of condensation phenomenon in deep learning. - Zhi-Qin John Xu; Yaoyu Zhang; Zhangchen Zhou (CoRR, 2025)

Scalable Complexity Control Facilitates Reasoning Ability of LLMs. - Liangkai Hang; Junjie Yao; Zhiwei Bai; Tianyi Chen; Yang Chen; Rongjie Diao; Hezhou Li; Pengxiao Lin; Zhiwei Wang; Cheng Xu; Zhongwang Zhang; Zhangchen Zhou; et al. (CoRR, 2025)

Adaptive Preconditioners Trigger Loss Spikes in Adam. - Zhiwei Bai; Zhangchen Zhou; Jiajie Zhao; Xiaolong Li; Zhiyu Li; Feiyu Xiong; Hongkang Yang; Yaoyu Zhang; Zhi-Qin John Xu (CoRR, 2025)