3 papers
cond-mat.mtrl-sci2026
A Geometry-Adaptive Deep Variational Framework for Phase Discovery in the Landau-Brazovskii Model
Yuchen Xie, Jianyuan Yin, Lei Zhang
The discovery of ordered structures in pattern-forming systems, such as the Landau-Brazovskii (LB) model, is often limited by the sensitivity of numerical solvers to the prescribed…
math.NA2026
A Derivative-Free Saddle-search Algorithm With Linear Convergence Rate
Qiang Du, Baoming Shi, Lei Zhang +1
We propose a derivative-free saddle-search algorithm designed to locate transition states using only function evaluations. The algorithm employs a nested architecture consisting of…
math.NA2025
A Stochastic Algorithm for Searching Saddle Points with Convergence Guarantee
Baoming Shi, Lei Zhang, Qiang Du
Saddle points provide a hierarchical view of the energy landscape, revealing transition pathways and interconnected basins of attraction, and offering insight into the global struc…