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We propose three novel consistent specification tests for quantile regression models which generalize former tests in three ways. First, we allow the covariate effects to be quantile-dependent and nonlinear. Second, we allow parameterizing…

统计方法学 · 统计学 2021-12-07 Tim Kutzker , Nadja Klein , Dominik Wied

The most popular multiple testing procedures are stepwise procedures based on $P$-values for individual test statistics. Included among these are the false discovery rate (FDR) controlling procedures of Benjamini--Hochberg [J. Roy. Statist.…

统计理论 · 数学 2009-06-18 Arthur Cohen , Harold B. Sackrowitz , Minya Xu

The accurate labeling of datasets is often both costly and time-consuming. Given an unlabeled dataset, programmatic weak supervision obtains probabilistic predictions for the labels by leveraging multiple weak labeling functions (LFs) that…

机器学习 · 统计学 2025-08-07 Verónica Álvarez , Santiago Mazuelas , Steven An , Sanjoy Dasgupta

Posterior predictive p-values are a common approach to Bayesian model-checking. This article analyses their frequency behaviour, that is, their distribution when the parameters and the data are drawn from the prior and the model…

统计理论 · 数学 2015-03-31 Patrick Rubin-Delanchy , Daniel John Lawson

Conditional density estimation is a general framework for solving various problems in machine learning. Among existing methods, non-parametric and/or kernel-based methods are often difficult to use on large datasets, while methods based on…

机器学习 · 统计学 2018-06-06 Hiroaki Sasaki , Aapo Hyvärinen

One class of statistical hypothesis testing procedures is the indisputable equivalence tests, whose main objective is to establish practical equivalence rather than the usual statistical significant difference. These hypothesis tests are…

统计方法学 · 统计学 2024-01-04 Daniel Ochieng

Conventional multiple testing procedures often assume hypotheses for different features are exchangeable. However, in many scientific applications, additional covariate information regarding the patterns of signals and nulls are available.…

统计方法学 · 统计学 2020-06-12 Xianyang Zhang , Jun Chen

Causal discovery methods based on the PC algorithm are proven to be sound if all structural assumptions are fulfilled and all conditional independence tests are correct. This idealized setting is rarely given in real data. In this work, we…

机器学习 · 统计学 2026-03-19 Sofia Faltenbacher , Jonas Wahl , Rebecca Herman , Jakob Runge

We present a domain-theoretic framework for probabilistic programming that provides a constructive definition of conditional probability and addresses computability challenges previously identified in the literature. We introduce a novel…

计算机科学中的逻辑 · 计算机科学 2025-02-04 Pietro Di Gianantonio , Abbas Edalat

A storm of favorable or critical publications regarding p-values-based procedures has been observed in both the theoretical and applied literature. We focus on valid definitions of p-values in the scenarios when composite null models are in…

统计方法学 · 统计学 2020-01-16 Albert Vexler

Several procedures have been recently proposed to test the simplifying assumption for conditional copulas. Instead of considering pointwise conditioning events, we study the constancy of the conditional dependence structure when some…

统计方法学 · 统计学 2020-08-24 Alexis Derumigny , Jean-David Fermanian , Aleksey Min

Conformal prediction is a popular technique for constructing prediction intervals with distribution-free coverage guarantees. The coverage is marginal, meaning it only holds on average over the entire population but not necessarily for any…

统计方法学 · 统计学 2026-05-28 Yao Zhang , Emmanuel J. Candès

We consider the problem of validating whether a neural posterior estimate \( q(\theta \mid x) \) is an accurate approximation to the true, unknown true posterior \( p(\theta \mid x) \). Existing methods for evaluating the quality of an NPE…

机器学习 · 统计学 2025-07-24 Tianyu Chen , Vansh Bansal , James G. Scott

Determining conditional independence (CI) relationships between random variables is a fundamental yet challenging task in machine learning and statistics, especially in high-dimensional settings. Existing generative model-based CI testing…

机器学习 · 计算机科学 2025-05-30 Yixin Ren , Chenghou Jin , Yewei Xia , Li Ke , Longtao Huang , Hui Xue , Hao Zhang , Jihong Guan , Shuigeng Zhou

We consider the problem of distribution-free predictive inference, with the goal of producing predictive coverage guarantees that hold conditionally rather than marginally. Existing methods such as conformal prediction offer marginal…

We revisit the problem of constructing predictive confidence sets for which we wish to obtain some type of conditional validity. We provide new arguments showing how ``split conformal'' methods achieve near desired coverage levels with high…

统计理论 · 数学 2025-03-04 John C. Duchi

Many causal questions involve interactions between units, also known as interference, for example between individuals in households, students in schools, or firms in markets. In this paper, we formalize the concept of a conditioning…

统计方法学 · 统计学 2018-09-25 Guillaume Basse , Avi Feller , Panos Toulis

In this paper, we present a new classifier, which integrates significance testing results over different random subspaces to yield consensus p-values for quantifying the uncertainty of classification decision. The null hypothesis is that…

机器学习 · 计算机科学 2024-10-17 Zengyou He , Zerun Li , Junjie Dong , Xinying Liu , Mudi Jiang , Lianyu Hu

Identifying covariates that modify treatment effects is a central problem in causal inference. Yet existing data-adaptive procedures do not provide finite-sample control over the expected number of false discoveries, risking spurious…

统计方法学 · 统计学 2026-05-12 Falco J. Bargagli-Stoffi , Omar Melikechi

We propose two nonparametric statistical tests of goodness of fit for conditional distributions: given a conditional probability density function $p(y|x)$ and a joint sample, decide whether the sample is drawn from $p(y|x)r_x(x)$ for some…

机器学习 · 统计学 2020-07-01 Wittawat Jitkrittum , Heishiro Kanagawa , Bernhard Schölkopf