8 citations · 8 across the 7 of their papers we have counts for
15 papers
Subspace curvature-scaling high-index saddle dynamics for accelerating ill-conditioned saddle point searches
Jianyuan Yin, Lei Zhang, Zhiyi Zhang
We propose a subspace curvature-scaling high-index saddle dynamics (SCS-HiSD) method to accelerate high-index saddle dynamics (HiSD) for locating ill-conditioned saddle points. The…
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…
Convergence of high-index saddle dynamics for degenerate saddle points on critical manifolds
Tao Luo, Jianyuan Yin, Lei Zhang +1
The high-index saddle dynamics (HiSD) method provides a powerful framework for finding saddle points and constructing solution landscapes. While originally derived for nondegenerat…
Exploring transition pathways in the Landau-Brazovskii model
Zhiyi Zhang, Gang Cui, Kai Jiang +4
The Landau-Brazovskii model provides a theoretical framework for describing various phases arising from competing short- and long-range interactions in many physical systems. In th…
Learning task-specific predictive models for scientific computing
Jianyuan Yin, Qianxiao Li
We consider learning a predictive model to be subsequently used for a given downstream task (described by an algorithm) that requires access to the model evaluation. This task need…
Revealing Excited States of Rotational Bose-Einstein Condensates
Jianyuan Yin, Zhen Huang, Yongyong Cai +2
Rotational Bose-Einstein condensates can exhibit quantized vortices as topological excitations. In this study, the ground and excited states of the rotational Bose-Einstein condens…