5 citations · 6 across the 6 of their papers we have counts for
6 papers
A Combinatorial Framework for the Pons-Batle Identity: Young Tableaux, Lattice Paths, and Limit Laws
Hexuan Liu, Michael Wallner, Guan-Ru Yu
Tree-child networks are an important class of phylogenetic network used to model reticulate evolutionary processes. These networks have attracted increasing attention from research…
A characterization of terminal planar networks by forbidden structures
Haruki Miyaji, Yuki Noguchi, Hexuan Liu +4
The class of terminal planar networks was recently introduced from a biological perspective in relation to the visualization of phylogenetic networks, and its connection to upward…
Enumerative and Distributional Results for -combining Tree-Child Networks
Yu-Sheng Chang, Michael Fuchs, Hexuan Liu +2
Tree-child networks are one of the most prominent network classes for modeling evolutionary processes which contain reticulation events. Several recent studies have addressed count…
Analysis of Truncated Orthogonal Iteration for Sparse Eigenvector Problems
Hexuan Liu, Aleksandr Aravkin
A wide range of problems in computational science and engineering require estimation of sparse eigenvectors for high dimensional systems. Here, we propose two variants of the Trunc…
On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic
Anne Greenbaum, Hexuan Liu, Tyler Chen
We consider three mathematically equivalent variants of the conjugate gradient (CG) algorithm and how they perform in finite precision arithmetic. It was shown in [{\em Behavior of…
Functional Connectomics from Data: Probabilistic Graphical Models for Neuronal Network of C. elegans
Hexuan Liu, Jimin Kim, Eli Shlizerman
We propose a data-driven approach to represent neuronal network dynamics as a Probabilistic Graphical Model (PGM). Our approach learns the PGM structure by employing dimension redu…