activity
20172026
most citedLearning Deep Kernels for Non-Parametric Two-Sample Tests

75 citations · 135 across the 19 of their papers we have counts for

collaborators

19 papers

stat.ML2026

A Kernel Nonconformity Score for Multivariate Conformal Prediction

Louis Meyer, Wenkai Xu

Multivariate conformal prediction requires nonconformity scores that compress residual vectors into scalars while preserving certain implicit geometric structure of the residual di…

math.ST2025

Stein's method of moment estimators for local dependency exponential random graph models

Adrian Fischer, Gesine Reinert, Wenkai Xu

Providing theoretical guarantees for parameter estimation in exponential random graph models is a largely open problem. While maximum likelihood estimation has theoretical guarante…

stat.ML2024

Split Conformal Prediction under Data Contamination

Jase Clarkson, Wenkai Xu, Mihai Cucuringu +2

Conformal prediction is a non-parametric technique for constructing prediction intervals or sets from arbitrary predictive models under the assumption that the data is exchangeable…

stat.ML2024

SteinGen: Generating Fidelitous and Diverse Graph Samples

Gesine Reinert, Wenkai Xu

Generating graphs that preserve characteristic structures while promoting sample diversity can be challenging, especially when the number of graph observations is small. Here, we t…

stat.ML2022

Nonlinear Causal Discovery via Kernel Anchor Regression

Wenqi Shi, Wenkai Xu

Learning causal relationships is a fundamental problem in science. Anchor regression has been developed to address this problem for a large class of causal graphical models, though…

stat.ML2022

On RKHS Choices for Assessing Graph Generators via Kernel Stein Statistics

Moritz Weckbecker, Wenkai Xu, Gesine Reinert

Score-based kernelised Stein discrepancy (KSD) tests have emerged as a powerful tool for the goodness of fit tests, especially in high dimensions; however, the test performance may…

stat.ML2022

A Kernelised Stein Statistic for Assessing Implicit Generative Models

Wenkai Xu, Gesine Reinert

Synthetic data generation has become a key ingredient for training machine learning procedures, addressing tasks such as data augmentation, analysing privacy-sensitive data, or vis…

stat.ML2022

AgraSSt: Approximate Graph Stein Statistics for Interpretable Assessment of Implicit Graph Generators

Wenkai Xu, Gesine Reinert

We propose and analyse a novel statistical procedure, coined AgraSSt, to assess the quality of graph generators that may not be available in explicit form. In particular, AgraSSt c…

stat.ME2021★ 2 cited

Standardisation-function Kernel Stein Discrepancy: A Unifying View on Kernel Stein Discrepancy Tests for Goodness-of-fit

Wenkai Xu

Non-parametric goodness-of-fit testing procedures based on kernel Stein discrepancies (KSD) are promising approaches to validate general unnormalised distributions in various scena…

stat.ML2021★ 1 cited

Meta Two-Sample Testing: Learning Kernels for Testing with Limited Data

Feng Liu, Wenkai Xu, Jie Lu +1

Modern kernel-based two-sample tests have shown great success in distinguishing complex, high-dimensional distributions with appropriate learned kernels. Previous work has demonstr…

stat.ME2021

Interpretable Stein Goodness-of-fit Tests on Riemannian Manifolds

Wenkai Xu, Takeru Matsuda

In many applications, we encounter data on Riemannian manifolds such as torus and rotation groups. Standard statistical procedures for multivariate data are not applicable to such…

stat.ME2021★ 1 cited

A Stein Goodness of fit Test for Exponential Random Graph Models

Wenkai Xu, Gesine Reinert

We propose and analyse a novel nonparametric goodness of fit testing procedure for exchangeable exponential random graph models (ERGMs) when a single network realisation is observe…

stat.ME2020★ 2 cited

A kernel test for quasi-independence

Tamara Fernández, Wenkai Xu, Marc Ditzhaus +1

We consider settings in which the data of interest correspond to pairs of ordered times, e.g, the birth times of the first and second child, the times at which a new user creates a…

stat.ML2020★ 6 cited

Kernelized Stein Discrepancy Tests of Goodness-of-fit for Time-to-Event Data

Tamara Fernandez, Nicolas Rivera, Wenkai Xu +1

Survival Analysis and Reliability Theory are concerned with the analysis of time-to-event data, in which observations correspond to waiting times until an event of interest such as…

stat.ME2020★ 2 cited

A Stein Goodness-of-fit Test for Directional Distributions

Wenkai Xu, Takeru Matsuda

In many fields, data appears in the form of direction (unit vector) and usual statistical procedures are not applicable to such directional data. In this study, we propose non-para…

stat.ML2020★ 75 cited

Learning Deep Kernels for Non-Parametric Two-Sample Tests

Feng Liu, Wenkai Xu, Jie Lu +3

We propose a class of kernel-based two-sample tests, which aim to determine whether two sets of samples are drawn from the same distribution. Our tests are constructed from kernels…

cs.LG2020★ 4 cited

Model Reuse with Reduced Kernel Mean Embedding Specification

Xi-Zhu Wu, Wenkai Xu, Song Liu +1

Given a publicly available pool of machine learning models constructed for various tasks, when a user plans to build a model for her own machine learning application, is it possibl…

stat.ML2019

Direction Matters: On Influence-Preserving Graph Summarization and Max-cut Principle for Directed Graphs

Wenkai Xu, Gang Niu, Aapo Hyvärinen +1

Summarizing large-scaled directed graphs into small-scale representations is a useful but less studied problem setting. Conventional clustering approaches, which based on "Min-Cut"…

stat.ML2017★ 42 cited

A Linear-Time Kernel Goodness-of-Fit Test

Wittawat Jitkrittum, Wenkai Xu, Zoltan Szabo +2

We propose a novel adaptive test of goodness-of-fit, with computational cost linear in the number of samples. We learn the test features that best indicate the differences between…