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Quantum kernel methods are a promising branch of quantum machine learning, yet their effectiveness on diverse, high-dimensional, real-world data remains unverified. Current research has largely been limited to low-dimensional or synthetic…

机器学习 · 计算机科学 2026-02-19 Jiang Yuhan , Matthew Otten

Motivation: Survival analysis is a branch of statistics that is crucial in medicine for modeling the time to critical events such as death or relapse, in order to improve treatment strategies and patient outcomes. Selecting survival models…

Kernel-based hypothesis tests offer a flexible, non-parametric tool to detect high-order interactions in multivariate data, beyond pairwise relationships. Yet the scalability of such tests is limited by the computationally demanding…

统计方法学 · 统计学 2025-06-09 Zhaolu Liu , Robert L. Peach , Mauricio Barahona

Evaluating intervention effects on multiple outcomes is a central research goal in a wide range of quantitative sciences. It is thereby common to compare interventions among each other and with a control across several, potentially highly…

In Cox regression it is sometimes of interest to study time-varying effects (TVE) of exposures and to test the proportional hazards assumption. TVEs can be investigated with log hazard ratios modelled as a function of time. Missing data on…

统计方法学 · 统计学 2021-12-07 Ruth H. Keogh , Tim P. Morris

We propose a method for feature selection that employs kernel-based measures of independence to find a subset of covariates that is maximally predictive of the response. Building on past work in kernel dimension reduction, we show how to…

机器学习 · 统计学 2018-10-23 Jianbo Chen , Mitchell Stern , Martin J. Wainwright , Michael I. Jordan

Frailty models are often the model of choice for heterogeneous survival data. A frailty model contains both random effects and fixed effects, with the random effects accommodating for the correlation in the data. Different estimation…

统计方法学 · 统计学 2019-09-17 Oodally Ajmal , Luc Duchateau , Estelle Kuhn

The performance of reproducing kernel Hilbert space-based methods is known to be sensitive to the choice of the reproducing kernel. Choosing an adequate reproducing kernel can be challenging and computationally demanding, especially in…

机器学习 · 计算机科学 2023-11-07 Emilio Ruiz-Moreno , Baltasar Beferull-Lozano

With medical tests becoming increasingly available, concerns about over-testing and over-treatment dramatically increase. Hence, it is important to understand the influence of testing on treatment selection in general practice. Most…

统计方法学 · 统计学 2020-08-11 Yun Li , Irina Bondarenko , Michael R. Elliott , Timothy P. Hofer , Jeremy M. G. Taylor

The Maximum Mean Discrepancy (MMD) is a cornerstone statistic for nonparametric two-sample testing, but its test power is dictated entirely by the chosen kernel. Because any fixed kernel inherently fails to distinguish certain…

机器学习 · 统计学 2026-05-11 Yijin Ni , Xiaoming Huo

Models that rely solely on pairwise relationships often fail to capture the complete statistical structure of the complex multivariate data found in diverse domains, such as socio-economic, ecological, or biomedical systems. Non-trivial…

机器学习 · 统计学 2023-11-08 Zhaolu Liu , Robert L. Peach , Pedro A. M. Mediano , Mauricio Barahona

This paper studies inference in randomized controlled trials with multiple treatments, where treatment status is determined according to a "matched tuples" design. Here, by a matched tuples design, we mean an experimental design where units…

计量经济学 · 经济学 2023-11-06 Yuehao Bai , Jizhou Liu , Max Tabord-Meehan

The multivariate coefficient of variation (MCV) is an attractive and easy-to-interpret effect size for the dispersion in multivariate data. Recently, the first inference methods for the MCV were proposed by Ditzhaus and Smaga (2022) for…

统计方法学 · 统计学 2023-01-31 Marc Ditzhaus , Łukasz Smaga

Combined inference for heterogeneous high-dimensional data is critical in modern biology, where clinical and various kinds of molecular data may be available from a single study. Classical genetic association studies regress a single…

应用统计 · 统计学 2017-03-22 Hélène Ruffieux , Anthony C. Davison , Jörg Hager , Irina Irincheeva

Current statistical inference problems in areas like astronomy, genomics, and marketing routinely involve the simultaneous testing of thousands -- even millions -- of null hypotheses. For high-dimensional multivariate distributions, these…

统计方法学 · 统计学 2017-04-25 Weixin Cai , Nima S. Hejazi , Alan E. Hubbard

This paper studies the problem of high-dimensional multiple testing and sparse recovery from the perspective of sequential analysis. In this setting, the probability of error is a function of the dimension of the problem. A simple…

统计理论 · 数学 2011-06-06 Matthew Malloy , Robert Nowak

We study the transformed hazards model with time-dependent covariates observed intermittently for the censored outcome. Existing work assumes the availability of the whole trajectory of the time-dependent covariates, which is unrealistic.…

统计方法学 · 统计学 2023-09-19 Dayu Sun , Zhuowei Sun , Xingqiu Zhao , Hongyuan Cao

Background: Survival prediction models are often less reliable in clinical groups with limited sample sizes or few outcome events. Target-only models may be unstable, whereas models from larger cohorts may transfer poorly when risk-factor…

统计方法学 · 统计学 2026-05-18 Junhan Yu , Yurui Chen , Juan Delgado-SanMartin , Dennis Wang , Hong Pan , Doudou Zhou

We apply Gaussian process (GP) regression, which provides a powerful non-parametric probabilistic method of relating inputs to outputs, to survival data consisting of time-to-event and covariate measurements. In this context, the covariates…

统计理论 · 数学 2014-09-08 James E. Barrett , Anthony C. C. Coolen

Survival analysis/time-to-event models are extremely useful as they can help companies predict when a customer will buy a product, churn or default on a loan, and therefore help them improve their ROI. In this paper, we introduce a new…

机器学习 · 统计学 2018-01-18 Stephane Fotso