2 citations · 4 across the 9 of their papers we have counts for
10 papers
Complex Representatives, Similarity Invariants, and Iterates in
Bingzhe Hou, Cailing Yao, Jiaxing He
We study the similarity classes of matrices in and the iterates of their associated quaternionic Möbius transformations. Building on the known elliptic case, we…
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…
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…
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…
Stable Similarity Comparison of Persistent Homology Groups
Jiaxing He, Bingzhe Hou, Tieru Wu +1
Classification in the sense of similarity is an important issue. In this paper, we study similarity classification in Topological Data Analysis. We define a pseudometric $d_{S}^{(p…
GraphCroc: Cross-Correlation Autoencoder for Graph Structural Reconstruction
Shijin Duan, Ruyi Ding, Jiaxing He +3
Graph-structured data is integral to many applications, prompting the development of various graph representation methods. Graph autoencoders (GAEs), in particular, reconstruct gra…
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…
Efficient and Degree-Guided Graph Generation via Discrete Diffusion Modeling
Xiaohui Chen, Jiaxing He, Xu Han +1
Diffusion-based generative graph models have been proven effective in generating high-quality small graphs. However, they need to be more scalable for generating large graphs conta…