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Machine Learning · Stochastic Dynamics · Theoretical Physics
Kangqiao Liu 刘康桥
I study how learning and physical systems move through noisy, high-dimensional landscapes. My work spans stochastic optimization, nonequilibrium physics, quantum information, and complex dynamics, with current interests in reasoning and AI-assisted scientific discovery.
Academic profiles
Research landscape
Dynamics across learning and physical systems.
The subjects have changed over time, but the questions have stayed surprisingly similar: what sets fluctuations, response, escape, transport, and instability?
01 / LEARNING Stochastic learning and optimization Finite-learning-rate SGD, minibatch noise, escape dynamics, and the stochastic structure of learning. 02 / NONEQUILIBRIUM & QUANTUM Information, response, and transport Kinetic uncertainty relations, quantum response bounds, information engines, random access codes, and constrained transport. 03 / COMPLEX DYNAMICS Instability and chaos Lyapunov bounds, competing dynamical scales, and instability in gravitating systems.
Selected work
A few points along the research trajectory.
These papers show the thread from learning dynamics to nonequilibrium response and quantum transport. The publications page contains the complete record.
2021 · MACHINE LEARNING Noise and Fluctuation of Finite Learning Rate Stochastic Gradient Descent 2025 · NONEQUILIBRIUM DYNAMICS Dynamical activity universally bounds precision of response in Markovian nonequilibrium systems 2026 · QUANTUM DYNAMICS Maximal-velocity deficit under a finite-support constraint in a hard-wall half-line continuous-time quantum walk
Research tooling
Tools that grew out of actual research work.
I keep a small number of tools public when they become useful beyond a single project.
Affiliation
Xihua University
Key Laboratory of High Performance Scientific Computation
物理学讲师 · 西华大学理学院
Contact
Email
kqliu-AT-xhu.edu.cn (replace -AT- by @)
Office
6D416
Address
Chengdu, Sichuan, China 610039