3 papers
nlin.CD2026
One-shot prediction of noise-induced bifurcations with reservoir computing
Nozomi Akashi, Takayuki Watanabe, Masato Hara +4
Dynamical systems can exhibit complex responses when noise is injected. In particular, dynamics can be qualitatively altered by dynamic noise, a phenomenon known as noise-induced b…
math.OC2024
Backtracking New Q-Newton's method, Newton's flow, Voronoi's diagram and Stochastic root finding
John Erik Fornaess, Mi Hu, Tuyen Trung Truong +1
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental perform…
math.DS2023
Backtracking New Q-Newton's method, Schröder's theorem, and Linear Conjugacy
John Erik Fornaess, Mi Hu, Tuyen Trung Truong +1
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental perform…