3 papers
stat.ML2026
Detecting Nonproperness of Likelihood Equations
Xiaoxian Tang, Bican Xia, Tianqi Zhao
Given an algebraic statistical model, a challenging problem is classifying the data according to the number of positive critical points of the likelihood function. The positive cri…
math.DS2026
The Ubiquity of Three Steady States: Minimal Multistable Zero-One Reaction Networks
Xiaoxian Tang, Jiandong Zhang
Biochemical networks with unit stoichiometry arise naturally in receptor-ligand binding and multisite phosphorylation systems. A central question is to identify which networks admi…
q-bio.MN2026
Obstruction of Absolute Concentration Robustness by Conservation Laws in Non-Redundant Zero-One Networks
Xinyi Si, Xiaoxian Tang
Absolute concentration robustness (ACR) characterizes systems where the steady-state concentration of a specific species remains invariant across all positive steady states. While…