楊, 穎任 (Yang, Ying-Jen)

Applied Math Ph.D. student
University of Washington, Seattle.

I grew up in Taichung, Taiwan (R. O. C.). And, I got my B.S. and M.S. in Physics at National Taiwan University in 2014 and 2016. My master thesis is on anticipatory dynamics in adaptive neural network. And I now pledge to understand complex systems, e.g. biological systems, via stochastic thermodynamics and dynamical systems. As a Ph.D. student at UW, I am now studying the mathematical structure/foundation of statistical mecanics and thermodynamics, i.e. probability theory (including information theory) and large deviation principle with Professor Hong Qian. Here is my CV.

Research

The grand goal is to develop a theory of complex systems. I believe the keys lie in probability theory/information theory and dynamical systems. I shall explore various known schools for "the" theory of complex systems along the way....

Keywords: Probability theory (including information theory), Large Deviation Principle, Landscape Theory, Thermodynamics of information and Stochastic thermodynamics

1. Stochastic Thermodynamics, Probability Theory and Large Deviation Principle

The mathematical foundation of statistical mechanics lies in Probability Theory and Large Deviation Theory. Knowing the mathematical structure allow us to generalize it to more general system, e.g. nonequilibrium system such as biological system

Currently working on
  • Onsager's relation, Hill's cycle decomposition perspective of Entropy Production for diffusion
  • Dynamical System Approach to Fluctuation Theorem and Large Deviation Theory
  • Information Theory

2. Energy Landscape Theory

The very definition of energy outside of Hamiltonian system is always ambiguous. From a Stochastic Dynamics point of view, a energy landscape actually emerge from the zero-noise limit!

Currently working on
  • Emergent Energetic Description for Diffusion Process
Have worked on applications in
  • Gibbs potential function, gradient descent in discrete space and chemical thermodynamics!
  • Fundamental Theorem of Natural Selection and Price's Equation
    and Landscape that is not bounded below: theory when the system has connonstop growth

3. Theory of Brain

Have worked on
  • Helmholtz machine and "Friston's" Free Energy Principle
Interested in
  • Hopfield Network
  • E-I Balance
  • Trade off for energy efficiency, adaptability, stability, precision

Publication

Here is my Google Scholar Page.

Under Preparation

Submitted

  • Ying-Jen Yang and Hong Qian, “Unified formalism for entropy productions and fluctuation theorems” submitted to PRE

Published

2019
  • Ying-Jen Yang and Hong Qian, “Entropy Productions and Fluctuation Theorems: A Unifying Change-of-measure Formalism.” ArXiv
2016
  • Ying-Jen Yang, Sean Chen, Chun-Chung Chen and Chi-Keung Chan, “Anticipatory Dynamics in retina.” Physics Bimonthly. Link (Chinese General Science Article)
  • Ying-Jen Yang, “The interesting and nonlinear heart and brain.” NTU CASE Press. Link (Chinese General Science Article)
2015
  • Ying-Jen Yang, Chun-Chung Chen, Pik-Yin Lai and Chi-Keung Chan, “Adaptive Synchronization and Anticipatory Dynamical Systems.” Phys. Rev. E 92, 030701 (2015). Link

Teaching

Instructor at University of Washington

Time period Course Name
2019/06-2019/08 AMATH 351: Introduction to Differential Equation and Applications

Teaching Assistant at University of Washington

Time period Course Name
2020/01-2020/04 AMATH 402: Introduction To Dynamical Systems and Chaos
2019/09-2019/12 AMATH 567: Applied Complex Analysis
2019/01-2019/03 MATH 125: Calculus II (Integration and Differential Equations)
2018/09-2019/01 AMATH 351: Introduction to Differential Equation and Applications
2018/03-2018/06 AMATH 301: Beginning Scientific Computing
2018/01-2018/03 MATH 124: Calculus I (Continuity and Differentiation)
2017/09-2018/01 MATH 125: Calculus II (Integration and Differential Equations)

Teaching Assistant at National Taiwan University

Time period Course Name
2016/01-2016/06 Applied Mathematics III: Complex Analysis and Integral Transforms
2015/01-2015/06 Statistical Physics I: Equilibrium Statistical Mechanics
2014/09-2015/01 General Physics a-1: Classical Mechanics and Special Relativity

Contact Info

Email

yangyj@uw.edu

Office

Lewis Hall 305

Mail to

Ying-Jen Yang
University of Washington
202 Lewis Hall
UW Mailbox 353925
Seattle, WA 98195-3925