282 citations · 571 across the 9 of their papers we have counts for
11 papers
Interlacing for zeros of the Serre derivative of Eisenstein series
Maggie Bohanek, Owen McGinty, Erick Ross +2
In 1970, Rankin and Swinnerton-Dyer showed that the non-elliptic zeros of Eisenstein series in the fundamental domain all lie on the lower arc $\{ e^{iθ}: \fracπ{2} < θ< \fra…
Explicit generators of the space of modular forms
Tianyu Ni, Ashley Song, Yanhui Su +2
Let be the space of cusp forms of weight and level one, and let denote its dual space. In this paper, we find explicit spanning subsets of consisting o…
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.…
Collapse of Deep and Narrow Neural Nets
Lu Lu, Yanhui Su, George Em Karniadakis
Recent theoretical work has demonstrated that deep neural networks have superior performance over shallow networks, but their training is more difficult, e.g., they suffer from the…