Arc-Length Parameterized Interpolating Splines
An iterative algorithm for computing splines that interpolate a set of points while being parameterized by true arc length, rather than an arbitrary parameter.
Research
My current work focuses on constructing interpolating splines parameterized by arc-length rather than an arbitrary parameter, using an iterative algorithm, and studying how and why that algorithm converges to the correct parameterization.
Current work: convergence guarantees
I'm now working on proving that this iterative algorithm converges, and ideally that its result is unique. It converges quickly in every case tested so far, but a formal proof remains an open problem.
A Two-Phase Scheme for Multi-Labeled Feature Selection
Tested whether adding an initial filtering phase, ranking features by a Maximal Information Coefficient score before applying a genetic algorithm, improves multi-label feature selection compared to using the genetic algorithm alone. Evaluated results using MLKNN classification and statistical significance testing (Wilcoxon rank-sum).