80 citations · 159 across the 16 of their papers we have counts for
17 papers
The Most Dangerous Seed: Nonlinear Optimal Perturbations in Rayleigh-Taylor Instability
Suoqing Ji, Bin Shi
Long-term instabilities in astrophysical fluids are inherently nonlinear, where even small-amplitude perturbations can trigger dramatic instability. However, owing to the complex i…
Modern Theory of Gradient-Based Optimization
Bin Shi
In this review, we offer a comprehensive survey of emerging techniques in gradient-based optimization, with a particular emphasis on the interplay between ordinary differential equ…
Numerical Construction of Elliptic Lower-Dimensional Quasi-Periodic Solutions with a Priori Bound
Mingwei Fu, Bin Shi
A numerical framework for constructing full-dimensional quasi-periodic solutions in nearly integrable systems was recently developed by Fu and Shi[2026]. Based on an alternating sc…
The Sampling Method for Optimal Precursors of ENSO Events
Bin Shi, Junjie Ma
El Niño-Southern Oscillation (ENSO) is one of the significant climate phenomena, which appears periodically in the tropic Pacific. The intermediate coupled ocean-atmosphere Zebiak-…
Linear convergence of forward-backward accelerated algorithms without knowledge of the modulus of strong convexity
Bowen Li, Bin Shi, Ya-xiang Yuan
A significant milestone in modern gradient-based optimization was achieved with the development of Nesterov's accelerated gradient descent (NAG) method. This forward-backward techn…
On Underdamped Nesterov's Acceleration
Shuo Chen, Bin Shi, Ya-xiang Yuan
The high-resolution differential equation framework has been proven to be tailor-made for Nesterov's accelerated gradient descent method~(\texttt{NAG}) and its proximal corresponde…