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Semiparametric single-index assumptions are convenient and widely used dimen\-sion reduction approaches that represent a compromise between the parametric and fully nonparametric models for regressions or conditional laws. In a mean…

Statistics Theory · Mathematics 2014-10-21 Samuel Maistre , Valentin Patilea

While clustering is ubiquitously used across science and industry, uncertainty in cluster assignments is rarely quantified with rigorous guarantees. We propose a novel conformal inference framework for clustering that returns confidence…

Methodology · Statistics 2026-04-13 YoonHaeng Hur , Anirban Nath , Genevera Allen

Controlling the false discovery rate (FDR) in high-dimensional variable selection requires balancing rigorous error control with statistical power. Existing methods with provable guarantees are often overly conservative, creating a…

Methodology · Statistics 2026-02-06 Arnau Vilella , Jasin Machkour , Michael Muma , Daniel P. Palomar

In this article we develop a method for performing post hoc inference of the False Discovery Proportion (FDP) over multiple contrasts of interest in the multivariate linear model. To do so we use the bootstrap to simulate from the…

Methodology · Statistics 2022-09-21 Samuel Davenport , Bertrand Thirion , Pierre Neuvial

Post-selection inference consists in providing statistical guarantees, based on a data set, that are robust to a prior model selection step on the same data set. In this paper, we address an instance of the post-selection-inference problem,…

Statistics Theory · Mathematics 2025-06-16 Dominique Bontemps , François Bachoc , Pierre Neuvial

Parametric factor copula models typically work well in modeling multivariate dependencies due to their flexibility and ability to capture complex dependency structures. However, accurately estimating the linking copulas within these models…

Methodology · Statistics 2025-10-22 Bahareh Ghanbari , Pavel Krupskiy , Laleh Tafakori , Yan Wang

Many recently developed Bayesian methods have focused on sparse signal detection. However, much less work has been done addressing the natural follow-up question: how to make valid inferences for the magnitude of those signals after…

Methodology · Statistics 2021-03-02 Spencer Woody , Oscar Hernan Madrid Padilla , James G. Scott

When testing multiple hypothesis in a survey --e.g. many different source locations, template waveforms, and so on-- the final result consists in a set of confidence intervals, each one at a desired confidence level. But the probability…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. Baggio , G. A. Prodi

While data-driven confounder selection requires careful consideration, it is frequently employed in observational studies. Widely recognized criteria for confounder selection include the minimal-set approach, which involves selecting…

Methodology · Statistics 2025-08-21 Kazuharu Harada , Masataka Taguri

Large knowledge bases typically contain data adhering to various schemas with incomplete and/or noisy type information. This seriously complicates further integration and post-processing efforts, as type information is crucial in correctly…

Applications · Statistics 2019-02-19 Artem Lutov , Soheil Roshankish , Mourad Khayati , Philippe Cudré-Mauroux

Valid uncertainty quantification after model selection remains challenging in high-dimensional linear regression, especially within the possibilistic inferential model (PIM) framework. We develop possibilistic inferential models for…

Methodology · Statistics 2025-12-23 Yaohui Lin

Statistical inference based on lossy or incomplete samples is often needed in research areas such as signal/image processing, medical image storage, remote sensing, signal transmission. In this paper, we propose a nonparametric testing…

Statistics Theory · Mathematics 2023-08-14 Kexuan Li , Ruiqi Liu , Ganggang Xu , Zuofeng Shang

The overwhelming majority of empirical research that uses cluster-robust inference assumes that the clustering structure is known, even though there are often several possible ways in which a dataset could be clustered. We propose two tests…

Econometrics · Economics 2023-03-14 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb

Voxel-based analysis methods localize brain structural differences by performing voxel-wise statistical comparisons on two groups of images aligned to a common space. This procedure requires highly accurate registration as well as a…

The false discovery proportion (FDP) is a convenient way to account for false positives when a large number $m$ of tests are performed simultaneously. Romano and Wolf [Ann. Statist. 35 (2007) 1378-1408] have proposed a general principle…

Statistics Theory · Mathematics 2015-06-08 Sylvain Delattre , Etienne Roquain

IBM TrueNorth chip uses digital spikes to perform neuromorphic computing and achieves ultrahigh execution parallelism and power efficiency. However, in TrueNorth chip, low quantization resolution of the synaptic weights and spikes…

Neural and Evolutionary Computing · Computer Science 2016-07-19 Wei Wen , Chunpeng Wu , Yandan Wang , Kent Nixon , Qing Wu , Mark Barnell , Hai Li , Yiran Chen

This paper proposes a nonparametric Bayesian framework called VariScan for simultaneous clustering, variable selection, and prediction in high-throughput regression settings. Poisson-Dirichlet processes are utilized to detect…

Methodology · Statistics 2019-10-08 Subharup Guha , Veerabhadran Baladandayuthapani

Diffusion tensor imaging (DTI) is a novel modality of magnetic resonance imaging that allows noninvasive mapping of the brain's white matter. A particular map derived from DTI measurements is a map of water principal diffusion directions,…

Applications · Statistics 2008-12-18 Armin Schwartzman , Robert F. Dougherty , Jonathan E. Taylor

Cluster sampling is common in survey practice, and the corresponding inference has been predominantly design-based. We develop a Bayesian framework for cluster sampling and account for the design effect in the outcome modeling. We consider…

Methodology · Statistics 2020-06-24 Susanna Makela , Yajuan Si , Andrew Gelman

Statistical inference on histograms and frequency counts plays a central role in categorical data analysis. Moving beyond classical methods that directly analyze labeled frequencies, we introduce a framework that models the multiset of…

Statistics Theory · Mathematics 2025-11-10 Yun Ma , Pengkun Yang
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