2 papers
math.PR2025
Random Field Representations of Kernel Distances
Ian Langmore
Positive semi-definite kernels are used to induce pseudo-metrics, or ``distances'', between measures. We write these as an expected quadratic variation of, or expected inner produc…
stat.ML2025
Moment Expansions of the Energy Distance
Ian Langmore
The energy distance is used to test distributional equality, and as a loss function in machine learning. While only when , the sensitivity to different momen…