3 papers
math.OC2026
A New Perspective on Clustering: A Mixed-norm Model and its Solution by Progressive Integer Programming
Junyi Liu, Yulin Peng, Yao Xie +2
Extending the classical -means and -medians models, this paper introduces an mixed-norm clustering model where the centroid updates and cluster assignments are u…
math.OC2025
Quasi-difference-convexity: Modernization of Quasi-differentiable Optimization
Jong-Shi Pang, Yulin Peng
Quasi-differentiable functions were introduced by Pshenichnyi in a 1969 monograph written in Russian and translated in an English version in 1971. This class of nonsmooth functions…
math.CO2024
The monoid representation of upho posets and total positivity
Ziyao Fu, Yulin Peng, Yuchong Zhang
We show that all totally positive formal power series with integer coefficients and constant term are precisely the rank-generating functions of Schur-positive upho posets, the…