5 citations · 6 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
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…