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This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

We examine the problem of variance components testing in general mixed effects models using the likelihood ratio test. We account for the presence of nuisance parameters, i.e. the fact that some untested variances might also be equal to…

Methodology · Statistics 2024-05-27 Tom Guédon , Charlotte Baey , Estelle Kuhn

We propose a general method for constructing confidence intervals and statistical tests for single or low-dimensional components of a large parameter vector in a high-dimensional model. It can be easily adjusted for multiplicity taking…

Statistics Theory · Mathematics 2014-06-24 Sara van de Geer , Peter Bühlmann , Ya'acov Ritov , Ruben Dezeure

This paper proposes new parametric model adequacy tests for possibly nonlinear and nonstationary time series models with noncontinuous data distribution, which is often the case in applied work. In particular, we consider the correct…

Statistics Theory · Mathematics 2021-08-10 Igor Kheifets , Carlos Velasco

Models with many signals, high-dimensional models, often impose structures on the signal strengths. The common assumption is that only a few signals are strong and most of the signals are zero or close (collectively) to zero. However, such…

Methodology · Statistics 2017-08-02 Yinchu Zhu , Jelena Bradic

Assume that we have a random sample from an absolutely continuous distribution (univariate, or multivariate) with a known functional form and some unknown parameters. In this paper, we have studied several parametric tests based on…

Statistics Theory · Mathematics 2024-05-14 Rahul Singh , Neeraj Misra

We study semiparametric varying-coefficient partially linear models when some linear covariates are not observed, but ancillary variables are available. Semiparametric profile least-square based estimation procedures are developed for…

Statistics Theory · Mathematics 2009-03-04 Yong Zhou , Hua Liang

In this paper, for the first time, we propose an evaluation method for deep learning models that assesses the performance of a model not only in an unseen test scenario, but also in extreme cases of noise, outliers and ambiguous input data.…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Magdalini Paschali , Sailesh Conjeti , Fernando Navarro , Nassir Navab

We formulate nonparametric and semiparametric hypothesis testing of multivariate stationary linear time series in a unified fashion and propose new test statistics based on estimators of the spectral density matrix. The limiting…

Statistics Theory · Mathematics 2009-09-03 Yoshihiro Yajima , Yasumasa Matsuda

We consider parameter estimation, hypothesis testing and variable selection for partially time-varying coefficient models. Our asymptotic theory has the useful feature that it can allow dependent, nonstationary error and covariate…

Statistics Theory · Mathematics 2012-08-20 Ting Zhang , Wei Biao Wu

Natural Language Inference is a challenging task that has received substantial attention, and state-of-the-art models now achieve impressive test set performance in the form of accuracy scores. Here, we go beyond this single evaluation…

Computation and Language · Computer Science 2018-05-14 Vicente Ivan Sanchez Carmona , Jeff Mitchell , Sebastian Riedel

In typical high dimensional statistical inference problems, confidence intervals and hypothesis tests are performed for a low dimensional subset of model parameters under the assumption that the parameters of interest are unconstrained.…

Methodology · Statistics 2019-11-19 Ming Yu , Varun Gupta , Mladen Kolar

In fitting a mixture of linear regression models, normal assumption is traditionally used to model the error and then regression parameters are estimated by the maximum likelihood estimators (MLE). This procedure is not valid if the normal…

Methodology · Statistics 2018-11-06 Yanyuan Ma , Shaoli Wang , Lin Xu , Weixin Yao

Transferability scores aim to quantify how well a model trained on one domain generalizes to a target domain. Despite numerous methods proposed for measuring transferability, their reliability and practical usefulness remain inconclusive,…

Machine Learning · Computer Science 2025-04-30 Alireza Kazemi , Helia Rezvani , Mahsa Baktashmotlagh

Fairness-aware learning involves designing algorithms that do not discriminate with respect to some sensitive feature (e.g., race or gender). Existing work on the problem operates under the assumption that the sensitive feature available in…

Machine Learning · Computer Science 2020-01-10 Alexandre Louis Lamy , Ziyuan Zhong , Aditya Krishna Menon , Nakul Verma

Reliable and robust evaluation methods are a necessary first step towards developing machine learning models that are themselves robust and reliable. Unfortunately, current evaluation protocols typically used to assess classifiers fail to…

Machine Learning · Computer Science 2025-05-26 Michael W. Spratling

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

Methodology · Statistics 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

We introduce a simple diagnostic test for assessing the overall or partial goodness of fit of a linear causal model with errors being independent of the covariates. In particular, we consider situations where hidden confounding is…

Methodology · Statistics 2023-03-06 Christoph Schultheiss , Peter Bühlmann , Ming Yuan

Pseudo-labeling is a commonly used paradigm in semi-supervised learning, yet its application to semi-supervised regression (SSR) remains relatively under-explored. Unlike classification, where pseudo-labels are discrete and confidence-based…

Machine Learning · Computer Science 2025-10-20 Xueqing Sun , Renzhen Wang , Quanziang Wang , Yichen Wu , Xixi Jia , Deyu Meng

Suppose data are fitted to some parametric model but that the true model happens to be one with an additional parameter. When a parameter is to be estimated one can use likelihood estimation in the wider model or in the narrow model.…

Methodology · Statistics 2026-03-27 Nils Lid Hjort
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