30 citations · 109 across the 14 of their papers we have counts for
14 papers
On the unimportance of memory for the time non-local components of the Kadanoff-Baym equations
Cian C. Reeves, Yuanran Zhu, Chao Yang +1
The generalized Kadanoff-Baym ansatz (GKBA) is an approximation to the Kadanoff-Baym equations (KBE), that neglects certain memory effects that contribute to the Green's function a…
Probing reaction channels via reinforcement learning
Senwei Liang, Aditya N. Singh, Yuanran Zhu +2
We propose a reinforcement learning based method to identify important configurations that connect reactant and product states along chemical reaction paths. By shooting multiple t…
Combinatorial Mori-Zwanzig Theory
Yuanran Zhu
We introduce a combinatorial version Mori-Zwanzig theory and develop from it a family of self-consistent evolution equations for the correlation function or Green's function of int…
Dynamic Mode Decomposition for Extrapolating Non-equilibrium Green's Functions Dynamics
Cian C. Reeves, Jia Yin, Yuanran Zhu +3
The HF-GKBA offers an approximate numerical procedure for propagating the two-time non-equilibrium Green's function(NEGF). Here we compare the HF-GKBA to exact results for a variet…
Learning Stochastic Dynamics with Statistics-Informed Neural Network
Yuanran Zhu, Yu-Hang Tang, Changho Kim
We introduce a machine-learning framework named statistics-informed neural network (SINN) for learning stochastic dynamics from data. This new architecture was theoretically inspir…
A simple hypocoercivity analysis for the effective Mori-Zwanzig equation
Yuanran Zhu
We provide a simple hypocoercivity analysis for the effective Mori-Zwanzig equation governing the time evolution of noise-averaged observables in a stochastic dynamical system. Und…
Nonequilibrium statistical mechanics for stationary turbulent dispersion
Yuanran Zhu
We propose a unified framework to study the turbulent transport problem from the perspective of nonequilibrium statistical mechanics. By combining Krarichnan's turbulence thermaliz…
Generalized second fluctuation-dissipation theorem in the nonequilibrium steady state: Theory and applications
Yuanran Zhu, Huan Lei, Changho Kim
In this paper, we derive a generalized second fluctuation-dissipation theorem (FDT) for stochastic dynamical systems in the steady state. The established theory is built upon the M…
Detecting Label Noise via Leave-One-Out Cross-Validation
Yu-Hang Tang, Yuanran Zhu, Wibe A. de Jong
We present a simple algorithm for identifying and correcting real-valued noisy labels from a mixture of clean and corrupted sample points using Gaussian process regression. A heter…
Effective Mori-Zwanzig equation for the reduced-order modeling of stochastic systems
Yuanran Zhu, Huan Lei
Built upon the hypoelliptic analysis of the effective Mori-Zwanzig (EMZ) equation for observables of stochastic dynamical systems, we show that the obtained semigroup estimates for…
Hypoellipticity and the Mori-Zwanzig formulation of stochastic differential equations
Yuanran Zhu, Daniele Venturi
We develop a thorough mathematical analysis of the effective Mori-Zwanzig (EMZ) equation governing the dynamics of noise-averaged observables in stochastic differential equations d…
Generalized Langevin equations for systems with local interactions
Yuanran Zhu, Daniele Venturi
We present a new method to approximate the Mori-Zwanzig (MZ) memory integral in generalized Langevin equations (GLEs) describing the evolution of smooth observables in high-dimensi…
Faber approximation to the Mori-Zwanzig equation
Yuanran Zhu, Daniele Venturi
We develop a new effective approximation of the Mori-Zwanzig equation based on operator series expansions of the orthogonal dynamics propagator. In particular, we study the Faber s…
On the estimation of the Mori-Zwanzig memory integral
Yuanran Zhu, Jason M. Dominy, Daniele Venturi
We develop rigorous estimates and provably convergent approximations for the memory integral in the Mori-Zwanzig (MZ) formulation. The new theory is built upon rigorous mathematica…