3 papers
stat.ML2026
Kantorovich--Kernel Neural Operators: Approximation Theory, Asymptotics, and Neural Network Interpretation
Tian-Xiao He
This paper studies a class of multivariate Kantorovich-kernel neural network operators, including the deep Kantorovich-type neural network operators studied by Sharma and Singh. We…
math.CO2024
Total Positivity of Quasi-Riordan Arrays
Tian-Xiao He, Roksana Słowik
In this paper the total positivity of quasi-Riordan arrays is investigated with use of the sequence characterization of quasi-Riordan arrays. Due to the correlation between quasi-R…
math.CO2024
Total Positivity of Almost-Riordan Arrays
Tian-Xiao He, Roksana Słowik
In this paper we study the total positivity of almost-Riordan arrays and establish its necessary conditions and sufficient conditions, particularly, for some…