8 papers
G-LoG Bi-filtration for Medical Image Classification
Qingsong Wang, Jiaxing He, Bingzhe Hou +3
Building practical filtrations on objects to detect topological and geometric features is an important task in the field of Topological Data Analysis (TDA). In this paper, leveragi…
Persistence modules induced by inner functions
Jiaxing He, Bingzhe Hou, Xiao Wang +1
As well-known, inner functions play an important role in the study of bounded analytic function theory. In recent years, persistence module theory, as a main tool applied to Topolo…
Graph Generative Pre-trained Transformer
Xiaohui Chen, Yinkai Wang, Jiaxing He +4
Graph generation is a critical task in numerous domains, including molecular design and social network analysis, due to its ability to model complex relationships and structured da…
Flow approach on Riesz type nonlocal energies
Jiaxin He, Qinfeng Li, Juncheng Wei +1
Via continuous deformations based on natural flow evolutions, we prove several novel monotonicity results for Riesz-type nonlocal energies on triangles and quadrilaterals. Some of…
Large Language Model is Secretly a Protein Sequence Optimizer
Yinkai Wang, Jiaxing He, Yuanqi Du +5
We consider the protein sequence engineering problem, which aims to find protein sequences with high fitness levels, starting from a given wild-type sequence. Directed evolution ha…
Mix-GENEO: A Flexible Filtration for Multiparameter Persistent Homology Detects Digital Images
Jiaxing He, Bingzhe Hou, Tieru Wu +1
Two important tasks in the field of Topological Data Analysis are building practical multifiltrations on objects and using TDA to detect the geometry. Motivated by the tasks, we bu…