1 citations · 2 across the 4 of their papers we have counts for
5 papers
Computing Betti tables and minimal presentations of zero-dimensional persistent homology
Yuan Luo, Dmitriy Morozov, Luis Scoccola
The Betti tables of a multigraded module encode the grades at which there is an algebraic change in the module. Multigraded modules show up in many areas of pure and applied mathem…
Topology-Preserving Dimensionality Reduction via Interleaving Optimization
Bradley J. Nelson, Yuan Luo
Dimensionality reduction techniques are powerful tools for data preprocessing and visualization which typically come with few guarantees concerning the topological correctness of a…
Accelerating Iterated Persistent Homology Computations with Warm Starts
Yuan Luo, Bradley J. Nelson
Persistent homology is a topological feature used in a variety of applications such as generating features for data analysis and penalizing optimization problems. We develop an app…
Total Variation Distance Based Performance Analysis of Covert Communication over AWGN Channels in Non-asymptotic Regime
Xinchun Yu, Shuangqin Wei, Yuan Luo
This paper investigates covert communication over an additive white Gaussian noise (AWGN) channel in finite block length regime on the assumption of Gaussian codebooks. We first re…
A note on the five valued conjectures of Johansen and Helleseth and zeta functions
Xiaogang Liu, Michael Harrison, Yuan Luo
For the complete five-valued cross-correlation distribution between two -sequences and of period that differ by the decimation $d={{2^{2k}+1}\over {2^…