Angxiu Ni
Scholar

Angxiu Ni

Google Scholar ID: Kj2uSg0AAAAJ
Department of Mathematics, UC Irvine
numerical analysisdynamical systemsstochastic analysisnumerical differentiation of chaos
Citations & Impact
All-time
Citations
376
 
H-index
10
 
i10-index
10
 
Publications
20
 
Co-authors
4
list available
Contact
Resume (English only)
Academic Achievements
  • 1. Divergence-kernel method for scores, linear responses, and diffusion models.
  • 2. Path-Kernel method and its backpropagation for linear responses.
  • 3. Ergodic and foliated kernel differentiation (or likelihood ratio) method.
  • 4. Path-divergence formula (also called the fast response formula), which is the pointwise expression for linear responses of hyperbolic deterministic chaos.
Research Experience
  • Postdoc at PKU BICMR, then Assistant Professor at YMSC in Tsinghua University, where he also served as Manager of undergrad affairs in Qiuzhen College.
Education
  • PhD from UC Berkeley Math, mentored by John Strain, Pingwen Zhang, Mark Pollicott, Jack Xin, Qing Nie, Long Chen.
Background
  • Research interests include computing the derivatives of marginal or stationary distributions of random dynamical systems, particularly chaotic/high-dimensional/small-noise systems. He combines two out of three basic methods (path-perturbation, divergence, and kernel-differentiation) to overcome some major shortcomings of each. He is also interested in dynamical systems and probability and their interactions with fields such as fluids, geophysics, inference, data assimilation, and machine learning.
Miscellany
  • Chinese name: 倪昂修
  • Name pronounces: ang sh-you knee