12 papers
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…
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…
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…
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…