activity
20242026
most citedSolving multiscale dynamical systems by deep learning

4 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

cs.LG2026

Context Staircase: Signature-Aligned Dynamics of Token Embeddings under Small Initialization

Junjie Yao, Liangkai Hang, Zhi-Qin John Xu

Token embeddings are the basic representational units that connect discrete tokens with continuous computation in language models. Although modern language models learn embeddings…

cs.AI2026

Small Initialization Matters for Large Language Models

Liangkai Hang, Junjie Yao, Zhiyu Li +3

Large language models provide a tractable system for asking how intelligence itself emerges, rather than only how LLMs can be engineered. Although progress is usually attributed to…

cs.LG2025

Scalable Complexity Control Facilitates Reasoning Ability of LLMs

Liangkai Hang, Junjie Yao, Zhiwei Bai +17

The reasoning ability of large language models (LLMs) has been rapidly advancing in recent years, attracting interest in more fundamental approaches that can reliably enhance their…

math.DS2024

Input gradient annealing neural network for solving low-temperature Fokker-Planck equations

Liangkai Hang, Dan Hu, Zhi-Qin John Xu

We present a novel yet simple deep learning approach, called input gradient annealing neural network (IGANN), for solving stationary Fokker-Planck equations. Traditional methods, s…

math.NA2024★ 4 cited

Solving multiscale dynamical systems by deep learning

Junjie Yao, Yuxiao Yi, Liangkai Hang +5

Multiscale dynamical systems, modeled by high-dimensional stiff ordinary differential equations (ODEs) with wide-ranging characteristic timescales, arise across diverse fields of s…