2 citations · 4 across the 6 of their papers we have counts for
7 papers
The Global Topology of Orthogonally Decomposable Tensor Landscapes
Chunyin Siu
The homogeneous form associated with a symmetric tensor, restricted to the sphere, is the objective of the best rank-one approximation problem and, with random coefficients, the en…
The Topological Behavior of Preferential Attachment Graphs
Chunyin Siu
We investigate the higher-order connectivity of scale-free networks using algebraic topology. We model scale-free networks as preferential attachment graphs, and we study the algeb…
The Asymptotics of the Expected Betti Numbers of Preferential Attachment Clique Complexes
Chunyin Siu, Gennady Samorodnitsky, Christina Lee Yu +1
The preferential attachment model is a natural and popular random graph model for a growing network that contains very well-connected ``hubs''. We study the higher-order connectivi…
Detection of Small Holes by the Scale-Invariant Robust Density-Aware Distance (RDAD) Filtration
Chunyin Siu, Gennady Samorodnitsky, Christina Lee Yu +1
A novel topological-data-analytical (TDA) method is proposed to distinguish, from noise, small holes surrounded by high-density regions of a probability density function. The propo…
Decomposition of Longitudinal Deformations via Beltrami Descriptors
Ho Law, Lok Ming Lui, Chun Yin Siu
We present a mathematical model to decompose a longitudinal deformation into normal and abnormal components. The goal is to detect and extract subtle quivers from periodic motions…
Geometry and Laplacian on Discrete Magic Carpets
Eric Goodman, Chun-Yin Siu, Robert S. Strichartz
We study several variants of the classical Sierpinski Carpet (SC) fractal. The main examples we call infinite magic carpets (IMC), obtained by taking an infinite blowup of a discre…
An Elementary Approach on Left-Orderability, Cables of Torus Knots and Dehn Surgery
Jianhui Li, Chun-Yin Siu
Motivated by Clay and Watson's question on left-orderability of the fundamental group of the resultant space of an -surgery on the -cable knots for …