1 citations · 1 across the 16 of their papers we have counts for
16 papers
CurvFlow-DTA: dual-graph discrete Ricci curvature flow for drug--target affinity prediction
Jicheng Ma, Yunyan Yang, Juan Zhao +1
Graph neural networks are widely used for drug--target affinity (DTA) prediction, and discrete Ricci curvature has recently been used to characterize molecular graph geometry. Exis…
A proof of the 3-Decomposition Conjecture
Jicheng Ma
We prove the 3-Decomposition Conjecture: every finite connected cubic loopless multigraph decomposes into a spanning tree, a 2-regular subgraph, and a matching. The proof rests on…
Evolving edge weights via local entropy flow and cohesion flow on graphs
Juan Zhao, Jicheng Ma, Yunyan Yang +1
In this paper, we first propose two different quantities on graphs, namely local entropy and cohesion, then design two corresponding flows for edge weights: the local entropy flow…
Large point-degrees in intersecting families of finite vector spaces
Jicheng Ma, Hao Li
Let \(V\) be an \(n\)-dimensional vector space over the finite field \(\Fq\), and let \(\Gr{V}{k}\) denote the family of all \(k\)-dimensional subspaces of \(V\). A family \(\cF\su…
On Permutation Groups of Cyclic Codes over Finite Fields
Junjie Huang, Jicheng Ma, Chang-An Zhao
The permutation groups of cyclic codes are widely applicable in determining the weight distribution of codes, decoding theory and various other areas. In this paper, by employing t…
An Efficient Entropy Flow on Weighted Graphs: Theory and Applications
Juan Zhao, Jicheng Ma, Yunyan Yang +1
We propose a novel entropy flow on weighted graphs, which provides a principled framework that characterizes the evolution of probability distributions over graph structures while…
Geometric Evolution Graph Convolutional Networks: Enhancing Graph Representation Learning via Ricci Flow
Jicheng Ma, Yunyan Yang, Juan Zhao +1
We introduce the Geometric Evolution Graph Convolutional Network (GEGCN), a novel framework that enhances graph representation learning through explicit modeling of geometric evolu…
EternalMath: A Living Benchmark of Frontier Mathematics that Evolves with Human Discovery
Jicheng Ma, Guohua Wang, Xinhua Feng +3
Current evaluations of mathematical reasoning in large language models (LLMs) are dominated by static benchmarks, either derived from competition-style problems or curated through…
Finding core subgraphs of directed graphs via discrete Ricci curvature flow
Juan Zhao, Jicheng Ma, Yunyan Yang +1
Ricci curvature and its associated flow offer powerful geometric methods for analyzing complex networks. While existing research heavily focuses on applications for undirected grap…
Core detection via Ricci curvature flows on weighted graphs
Juan Zhao, Jicheng Ma, Yunyan Yang +1
Graph Ricci curvature is crucial as it geometrically quantifies network structure. It pinpoints bottlenecks via negative curvature, identifies cohesive communities with positive cu…
Piecewise-linear Ricci curvature flows on weighted graphs
Jicheng Ma, Yunyan Yang
Community detection is an important problem in graph neural networks. Recently, algorithms based on Ricci curvature flows have gained significant attention. It was suggested by Oll…
Community detection of hypergraphs by Ricci flow
Yulu Tian, Jicheng Ma, Yunyan Yang +1
Community detection in hypergraphs is both instrumental for functional module identification and intricate due to higher-order interactions among nodes. We define a hypergraph Ricc…
Evolution of weights on a connected finite graph
Jicheng Ma, Yunyan Yang
On a connected finite graph, we propose an evolution of weights including Ollivier's Ricci flow as a special case. During the evolution process, on each edge, the speed of change o…
A modified Ricci flow on arbitrary weighted graph
Jicheng Ma, Yunyan Yang
In this paper, we propose a modified Ricci flow, as well as a quasi-normalized Ricci flow, on arbitrary weighted graph. Each of these two flows has a unique global solution. In par…
On automorphism groups of polar codes
Jicheng Ma, Guiying Yan
Over the past years, Polar codes have arisen as a highly effective class of linear codes, equipped with a decoding algorithm of low computational complexity. This family of codes s…
On automorphism groups of binary cyclic codes
Ma Jicheng, Yan Guiying
A lot of attention has been paid to the investigation of the algebraic properties of linear codes. In most cases, this investigation involves the determination of required code aut…