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While there exists several inferential methods for analyzing functional data in factorial designs, there is a lack of statistical tests that are valid (i) in general designs, (ii) under non-restrictive assumptions on the data generating…

统计方法学 · 统计学 2023-06-28 Merle Munko , Marc Ditzhaus , Markus Pauly , Łukasz Smaga , Jin-Ting Zhang

Uncertainty quantification for estimation through stochastic optimization solutions in an online setting has gained popularity recently. This paper introduces a novel inference method focused on constructing confidence intervals with…

机器学习 · 统计学 2026-03-24 Wanrong Zhu , Zhipeng Lou , Ziyang Wei , Wei Biao Wu

While significant advances exist in pseudo-label generation for semi-supervised semantic segmentation, pseudo-label selection remains understudied. Existing methods typically use fixed confidence thresholds to retain high-confidence…

计算机视觉与模式识别 · 计算机科学 2025-09-23 Pan Liu , Jinshi Liu

This paper revisits a fundamental problem in statistical inference from a non-asymptotic theoretical viewpoint $\unicode{x2013}$ the construction of confidence sets. We establish a finite-sample bound for the estimator, characterizing its…

统计理论 · 数学 2023-01-03 Lang Liu , Zaid Harchaoui

Data integration methods aim to extract low-dimensional embeddings from high-dimensional outcomes to remove unwanted variations, such as batch effects and unmeasured covariates, across heterogeneous datasets. However, multiple hypothesis…

统计方法学 · 统计学 2025-12-15 Jin-Hong Du , Kathryn Roeder , Larry Wasserman

Stability selection is a popular method for improving feature selection algorithms. One of its key attributes is that it provides theoretical upper bounds on the expected number of false positives, E(FP), enabling false positive control in…

统计方法学 · 统计学 2025-07-18 Omar Melikechi , Jeffrey W. Miller

This paper introduces a local optimization-based approach to test statistical hypotheses and to construct confidence intervals. This approach can be viewed as an extension of bootstrap, and yields asymptotically valid tests and confidence…

统计方法学 · 统计学 2015-04-21 Shifeng Xiong

The proposed approach extends the confidence posterior distribution to the semi-parametric empirical Bayes setting. Whereas the Bayesian posterior is defined in terms of a prior distribution conditional on the observed data, the confidence…

统计方法学 · 统计学 2012-05-02 David R. Bickel

This paper considers generalized linear models in the presence of many controls. We lay out a general methodology to estimate an effect of interest based on the construction of an instrument that immunize against model selection mistakes…

统计方法学 · 统计学 2017-10-05 Alexandre Belloni , Victor Chernozhukov , Ying Wei

We propose a method for constructing confidence intervals that account for many forms of spatial correlation. The interval has the familiar `estimator plus and minus a standard error times a critical value' form, but we propose new methods…

计量经济学 · 经济学 2021-02-19 Ulrich K. Müller , Mark W. Watson

Suppose that one can construct a valid $(1-\delta)$-confidence interval (CI) for each of $K$ parameters of potential interest. If a data analyst uses an arbitrary data-dependent criterion to select some subset $S$ of parameters, then the…

统计理论 · 数学 2024-07-02 Ziyu Xu , Ruodu Wang , Aaditya Ramdas

Uncertainty quantification is critical in safety-sensitive applications but is often omitted from off-the-shelf neural networks due to adverse effects on predictive performance. Retrofitting uncertainty estimates post-hoc typically requires…

机器学习 · 计算机科学 2025-06-03 Lennart Bramlage , Cristóbal Curio

We consider the setting of linear regression in high dimension. We focus on the problem of constructing adaptive and honest confidence sets for the sparse parameter \theta, i.e. we want to construct a confidence set for theta that contains…

机器学习 · 统计学 2015-01-20 Alexandra Carpentier

We develop new methods for constructing confidence sets and intervals in linear instrumental variables (IV) models based on tests that remain valid under weak identification and under heteroskedastic, autocorrelated, or clustered errors. In…

计量经济学 · 经济学 2026-04-07 Gustavo Schlemper , Marcelo J. Moreira

Modern deep learning reconstruction algorithms generate impressively realistic scans from sparse inputs, but can often produce significant inaccuracies. This makes it difficult to provide statistically guaranteed claims about the true state…

机器学习 · 计算机科学 2025-09-29 Matt Y Cheung , Tucker J Netherton , Laurence E Court , Ashok Veeraraghavan , Guha Balakrishnan

In this paper, we propose a general method for testing composite hypotheses. Our idea is to use confidence limits to define stopping and decision rules. The requirements of operating characteristic function can be satisfied by adjusting the…

统计理论 · 数学 2012-02-10 Xinjia Chen

Calibrated probability outputs of trained classifiers are increasingly used as inputs to downstream regression estimands such as effects, prevalences, or disparities for a latent group observed only on a small labelled subset. A standard…

统计方法学 · 统计学 2026-05-14 Marcell T. Kurbucz

We show how random subspace methods can be adapted to estimating local projections with many controls. Random subspace methods have their roots in the machine learning literature and are implemented by averaging over regressions estimated…

计量经济学 · 经济学 2024-06-04 Viet Hoang Dinh , Didier Nibbering , Benjamin Wong

Posterior distributions for community structure in sparse planted bi-section models are shown to achieve exact (resp. almost-exact) recovery, with sharp bounds for the sparsity regimes where edge probabilities decrease as $O(\log(n)/n)$…

统计理论 · 数学 2023-03-03 B. J. K. Kleijn , J. van Waaij

Predictive variability due to data ambiguities has typically been addressed via construction of dedicated models with built-in probabilistic capabilities that are trained to predict uncertainty estimates as variables of interest. These…

机器学习 · 计算机科学 2023-08-04 Katarína Tóthová , Ľubor Ladický , Daniel Thul , Marc Pollefeys , Ender Konukoglu