A moment-based hierarchy (zeroth, first, second order) diagnoses convergence of Lyman-alpha MCRT momentum-transfer estimators, showing that core-skipping biases internal forces and that statistical precision, cost, and physical accuracy must be evaluated separately.
On Wasserstein Two Sample Testing and Related Families of Nonparametric Tests
6 Pith papers cite this work, alongside 30 external citations. Polarity classification is still indexing.
6
Pith papers citing it
30
external citations · Pith
abstract
Nonparametric two sample or homogeneity testing is a decision theoretic problem that involves identifying differences between two random variables without making parametric assumptions about their underlying distributions. The literature is old and rich, with a wide variety of statistics having being intelligently designed and analyzed, both for the unidimensional and the multivariate setting. Our contribution is to tie together many of these tests, drawing connections between seemingly very different statistics. In this work, our central object is the Wasserstein distance, as we form a chain of connections from univariate methods like the Kolmogorov-Smirnov test, PP/QQ plots and ROC/ODC curves, to multivariate tests involving energy statistics and kernel based maximum mean discrepancy. Some connections proceed through the construction of a \textit{smoothed} Wasserstein distance, and others through the pursuit of a "distribution-free" Wasserstein test. Some observations in this chain are implicit in the literature, while others seem to have not been noticed thus far. Given nonparametric two sample testing's classical and continued importance, we aim to provide useful connections for theorists and practitioners familiar with one subset of methods but not others.
representative citing papers
A framework detects multiscale recurrences in irregular time series by applying 1-Wasserstein distance with thresholds derived from Brownian motion scale invariance.
A new evaluation framework using MMD on Biber features shows LLMs deviate from human linguistic distributions across registers, with closest models varying by register rather than size.
Defines analogical proportions on probabilities and distributions, then experimentally checks inheritance from profile-level analogies in classification settings.
Two-loop inference of a mean-field model with periodic neuromodulation reproduces spatio-temporal features of cortical slow waves from whole-hemisphere mouse calcium imaging data.
A data-driven comparison of Hellinger, Wasserstein, Jensen-Shannon, Kolmogorov-Smirnov and other distance metrics on Kr-83 decay spectra finds varying stability of a chosen parameter of interest depending on sample size, binning and choice of normalizing function.
citing papers explorer
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Force convergence in Monte Carlo Lyman-alpha radiative transfer
A moment-based hierarchy (zeroth, first, second order) diagnoses convergence of Lyman-alpha MCRT momentum-transfer estimators, showing that core-skipping biases internal forces and that statistical precision, cost, and physical accuracy must be evaluated separately.
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Wasserstein recurrence networks for multiscale time series pattern analysis
A framework detects multiscale recurrences in irregular time series by applying 1-Wasserstein distance with thresholds derived from Brownian motion scale invariance.
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How Human-Like Are Large Language Models? A Register-Aware Linguistic Evaluation Framework
A new evaluation framework using MMD on Biber features shows LLMs deviate from human linguistic distributions across registers, with closest models varying by register rather than size.
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From numerical proportions to analogical proportions between probabilities
Defines analogical proportions on probabilities and distributions, then experimentally checks inheritance from profile-level analogies in classification settings.
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Simulations Approaching Data: Cortical Slow Waves in Inferred Models of the Whole Hemisphere of Mouse
Two-loop inference of a mean-field model with periodic neuromodulation reproduces spatio-temporal features of cortical slow waves from whole-hemisphere mouse calcium imaging data.
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Physics-driven Comparative Analysis of Various Statistical Distance Metrics and Normalizing Functions
A data-driven comparison of Hellinger, Wasserstein, Jensen-Shannon, Kolmogorov-Smirnov and other distance metrics on Kr-83 decay spectra finds varying stability of a chosen parameter of interest depending on sample size, binning and choice of normalizing function.