Showing stat.MEShow all
3 papers · 1 filter
stat.ME2024
Decomposition with Monotone B-splines: Fitting and Testing
Lijun Wang, Xiaodan Fan, Hongyu Zhao +1
A univariate continuous function can always be decomposed as the sum of a non-increasing function and a non-decreasing one. Based on this property, we propose a non-parametric regr…
stat.ME2023
Degrees of Freedom: Search Cost and Self-consistency
Lijun Wang, Hongyu Zhao, Xiaodan Fan
Model degrees of freedom ($\df$) is a fundamental concept in statistics because it quantifies the flexibility of a fitting procedure and is indispensable in model selection. To inv…
stat.ME2023
Monotone Cubic B-Splines with a Neural-Network Generator
Lijun Wang, Xiaodan Fan, Huabai Li +1
We present a method for fitting monotone curves using cubic B-splines, which is equivalent to putting a monotonicity constraint on the coefficients. We explore different ways of en…