2 citations · 2 across the 1 of their papers we have counts for
6 papers
Graphs on surfaces with positive Forman curvature or corner curvature
Yohji Akama, Bobo Hua, Yanhui Su +1
On one hand, we study the class of graphs on surfaces, satisfying tessellation properties, with positive Forman curvature on each edge. Via medial graphs, we provide a new proof fo…
A curvature notion for planar graphs stable under planar duality
Yohji Akama, Bobo Hua, Yanhui Su +1
Woess \cite{Woess98} introduced a curvature notion on the set of edges of a planar graph, called -curvature in our paper, which is stable under the planar duality. We study geom…
Dying ReLU and Initialization: Theory and Numerical Examples
Lu Lu, Yeonjong Shin, Yanhui Su +1
The dying ReLU refers to the problem when ReLU neurons become inactive and only output 0 for any input. There are many empirical and heuristic explanations of why ReLU neurons die.…
Areas of spherical polyhedral surfaces with regular faces
Yohji Akama, Bobo Hua, Yanhui Su
For a finite planar graph, it associates with some metric spaces, called (regular) spherical polyhedral surfaces, by replacing faces with regular spherical polygons in the unit sph…
Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices
Bobo Hua, Yong Lin, Yanhui Su
In this paper, we prove some analogues of Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet (discrete) Laplace eigenvalues on any subset in the integer lat…
The first gap for total curvatures of planar graphs with nonnegative curvature
Bobo Hua, Yanhui Su
We prove that the total curvature of a planar graph with nonnegative combinatorial curvature is at least if it is positive. Moreover, we classify the metric structur…