4 papers
Polarization Holes as an Indicator of Magnetic Field-Angular Momentum Alignment I. Initial Tests
Lijun Wang, Zhuo Cao, Xiaodan Fan +1
The formation of protostellar disks is still a mystery, largely due to the difficulties in observations that can constrain theories. For example, the 3D alignment between the rotat…
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…
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…
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…