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The research described herewith is to re-visit the classical doubly robust estimation of average treatment effect by conducting a systematic study on the comparisons, in the sense of asymptotic efficiency, among all possible combinations of…

统计理论 · 数学 2020-06-01 Keli Guo , Chuyun Ye , Jun Fan , Lixing Zhu

We consider the nonparametric regression problem with multiple predictors and an additive error, where the regression function is assumed to be coordinatewise nondecreasing. We propose a Bayesian approach to make an inference on the…

统计理论 · 数学 2022-11-24 Kang Wang , Subhashis Ghosal

We study distribution-free property testing and learning problems where the unknown probability distribution is a product distribution over $\mathbb{R}^d$. For many important classes of functions, such as intersections of halfspaces,…

数据结构与算法 · 计算机科学 2021-11-17 Nathaniel Harms , Yuichi Yoshida

In some high-dimensional and semiparametric inference problems involving two populations, the parameter of interest can be characterized by two-sample U-statistics involving some nuisance parameters. In this work we first extend the…

统计方法学 · 统计学 2024-02-02 Yuchen Chen , Jing Lei

Combining empirical risk minimization with capacity control is a classical strategy in machine learning when trying to control the generalization gap and avoid overfitting, as the model class capacity gets larger. Yet, in modern deep…

机器学习 · 计算机科学 2024-03-18 Marc Lafon , Alexandre Thomas

Change point tests for abrupt changes in the mean of functional data, i.e., random elements in infinite-dimensional Hilbert spaces, are either based on dimension reduction techniques, e.g., based on principal components, or directly based…

统计理论 · 数学 2026-01-23 Claudia Kirch , Hedvika Ranošová , Martin Wendler

Non-parametric and distribution-free two-sample tests have been the foundation of many change point detection algorithms. However, randomness in the test statistic as a function of time makes them susceptible to false positives and…

信号处理 · 电气工程与系统科学 2020-10-29 Kevin C. Cheng , Eric L. Miller , Michael C. Hughes , Shuchin Aeron

We propose a two-sample test for high-dimensional means that requires neither distributional nor correlational assumptions, besides some weak conditions on the moments and tail properties of the elements in the random vectors. This…

统计方法学 · 统计学 2019-04-17 Kaijie Xue , Fang Yao

We propose a novel technique to boost the power of testing a high-dimensional vector $H:\btheta=0$ against sparse alternatives where the null hypothesis is violated only by a couple of components. Existing tests based on quadratic forms…

统计方法学 · 统计学 2014-08-19 Jianqing Fan , Yuan Liao , Jiawei Yao

This paper proposes the asymmetric linear double autoregression, which jointly models the conditional mean and conditional heteroscedasticity characterized by asymmetric effects. A sufficient condition is established for the existence of a…

统计方法学 · 统计学 2021-04-22 Songhua Tan , Qianqian Zhu

Deep neural two-sample tests have recently shown strong power for detecting distributional differences between groups, yet their black-box nature limits interpretability and practical adoption in biomedical analysis. Moreover, most existing…

计算机视觉与模式识别 · 计算机科学 2026-02-06 Masoumeh Javanbakhat , Piotr Komorowski , Dilyara Bareeva , Wei-Chang Lai , Wojciech Samek , Christoph Lippert

Accurately interpreting cardiac auscultation signals plays a crucial role in diagnosing and managing cardiovascular diseases. However, the paucity of labelled data inhibits classification models' training. Researchers have turned to…

声音 · 计算机科学 2025-06-18 Leigh Abbott , Milan Marocchi , Matthew Fynn , Yue Rong , Sven Nordholm

The integration of data from multiple sources is increasingly used to achieve larger sample sizes and enhance population diversity. Our previous work established that, under random sampling from the same underlying population, integrating…

统计方法学 · 统计学 2026-01-01 Farimah Shamsi , Andriy Derkach

Two-class classification problems are often characterized by an imbalance between the number of majority and minority datapoints resulting in poor classification of the minority class in particular. Traditional approaches, such as…

机器学习 · 计算机科学 2025-07-11 Karen Medlin , Sven Leyffer , Krishnan Raghavan

We propose a non-parametric, two-sample Bayesian test for checking whether or not two data sets share a common distribution. The test makes use of data splitting ideas and does not require priors for high-dimensional parameter vectors as do…

统计方法学 · 统计学 2020-03-16 Jeffery Hart , Taeryon Choi , Naveed Merchant

The availability of multi-omics data has revolutionized the life sciences by creating avenues for integrated system-level approaches. Data integration links the information across datasets to better understand the underlying biological…

统计方法学 · 统计学 2022-09-01 Said el Bouhaddani , Hae-Won Uh , Geurt Jongbloed , Jeanine Houwing-Duistermaat

Adapting to dynamic data distributions is a practical yet challenging task. One effective strategy is to use a model ensemble, which leverages the diverse expertise of different models to transfer knowledge to evolving data distributions.…

Robust Bayesian inference using density power divergence (DPD) has emerged as a promising approach for handling outliers in statistical estimation. Although the DPD-based posterior offers theoretical guarantees of robustness, its practical…

统计方法学 · 统计学 2025-12-11 Naruki Sonobe , Tomotaka Momozaki , Tomoyuki Nakagawa

We introduce a new statistical quantity the energy to test whether two samples originate from the same distributions. The energy is a simple logarithmic function of the distances of the observations in the variate space. The distribution of…

概率论 · 数学 2007-05-23 Guenter Zech , Berkan Aslan

Three different permutation test schemes are discussed and compared in the context of the two-sample problem for functional data. One of the procedures was essentially introduced by Lopez-Pintado and Romo (2009), using notions of functional…

统计理论 · 数学 2016-10-25 Alejandra Cabaña , Ana Maria Estrada , Jairo I. Peña , Adolfo J. Quiroz