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Partial label learning (PLL) is a typical weakly supervised learning problem, where each training example is associated with a set of candidate labels among which only one is true. Most existing PLL approaches assume that the incorrect…

机器学习 · 计算机科学 2021-10-27 Ning Xu , Congyu Qiao , Xin Geng , Min-Ling Zhang

We discuss systematically two versions of confidence regions: those based on p-values and those based on e-values, a recent alternative to p-values. Both versions can be applied to multiple hypothesis testing, and in this paper we are…

统计理论 · 数学 2024-03-05 Vladimir Vovk , Ruodu Wang

We develop scalable methods for producing conformal Bayesian predictive intervals with finite sample calibration guarantees. Bayesian posterior predictive distributions, $p(y \mid x)$, characterize subjective beliefs on outcomes of…

统计方法学 · 统计学 2021-06-15 Edwin Fong , Chris Holmes

In supervised learning, automatically assessing the quality of the labels before any learning takes place remains an open research question. In certain particular cases, hypothesis testing procedures have been proposed to assess whether a…

机器学习 · 计算机科学 2023-12-19 Weisong Yang , Rafael Poyiadzi , Niall Twomey , Raul Santos Rodriguez

The validity OF a causal model can be tested ONLY IF the model imposes constraints ON the probability distribution that governs the generated data. IN the presence OF unmeasured variables, causal models may impose two types OF constraints :…

人工智能 · 计算机科学 2013-01-07 Jin Tian , Judea Pearl

For a continuous random variable $Z$, testing conditional independence $X \perp\!\!\!\perp Y |Z$ is known to be a particularly hard problem. It constitutes a key ingredient of many constraint-based causal discovery algorithms. These…

统计理论 · 数学 2021-12-21 Philip A. Boeken , Joris M. Mooij

There are several estimators of conditional probability from observed frequencies of features. In this paper, we propose using the lower limit of confidence interval on posterior distribution determined by the observed frequencies to…

信息论 · 计算机科学 2017-09-26 Masato Kikuchi , Eiko Yamamoto , Mitsuo Yoshida , Masayuki Okabe , Kyoji Umemura

This tutorial focuses on efficient methods to predictive monitoring (PM), the problem of detecting at runtime future violations of a given requirement from the current state of a system. While performing model checking at runtime would…

人工智能 · 计算机科学 2023-12-05 Francesca Cairoli , Luca Bortolussi , Nicola Paoletti

In this paper, we study the problem of determining $k$ anomalous random variables that have different probability distributions from the rest $(n-k)$ random variables. Instead of sampling each individual random variable separately as in the…

信息论 · 计算机科学 2024-09-09 Myung Cho , Weiyu Xu , Lifeng Lai

In this Letter, we introduce a notion of local fraction for experiments taking place against arbitrary static causal backgrounds -- greatly generalising previous results on no-signalling scenarios -- and we explicitly formulate a linear…

量子物理 · 物理学 2024-03-25 Stefano Gogioso , Nicola Pinzani

Density regression characterizes the conditional density of the response variable given the covariates, and provides much more information than the commonly used conditional mean or quantile regression. However, it is often computationally…

统计方法学 · 统计学 2022-06-15 Yunlu Chen , Nan Zhang

There is a vast body of literature related to methods for detecting changepoints (CP). However, less attention has been paid to assessing the statistical reliability of the detected CPs. In this paper, we introduce a novel method to perform…

机器学习 · 统计学 2021-02-23 Vo Nguyen Le Duy , Hiroki Toda , Ryota Sugiyama , Ichiro Takeuchi

We propose a test of the significance of a variable appearing on the Lasso path and use it in a procedure for selecting one of the models of the Lasso path, controlling the Family-Wise Error Rate. Our null hypothesis depends on a set A of…

统计方法学 · 统计学 2024-09-05 Matthieu Pluntz , Cyril Dalmasso , Pascale Tubert-Bitter , Ismail Ahmed

In conditional copula models, the copula parameter is deterministically linked to a covariate via the calibration function. The latter is of central interest for inference and is usually estimated nonparametrically. However, when a…

统计方法学 · 统计学 2014-03-19 Elif F. Acar , Radu V. Craiu , Fang Yao

Machine learning (ML) models show strong promise for new biomedical prediction tasks, but concerns about trustworthiness have hindered their clinical adoption. In particular, it is often unclear whether a model relies on true clinical cues…

机器学习 · 计算机科学 2026-01-13 Dushan N. Wadduwage , Dineth Jayakody , Leonidas Zimianitis

We build a valid p-value based on a concentration inequality for bounded random variables introduced by Pelekis, Ramon and Wang. The motivation behind this work is the calibration of predictive algorithms in a distribution-free setting. The…

机器学习 · 统计学 2024-05-16 Joaquin Alvarez

We introduce a framework for calibrating machine learning models so that their predictions satisfy explicit, finite-sample statistical guarantees. Our calibration algorithms work with any underlying model and (unknown) data-generating…

机器学习 · 计算机科学 2022-10-03 Anastasios N. Angelopoulos , Stephen Bates , Emmanuel J. Candès , Michael I. Jordan , Lihua Lei

Multiple hypothesis testing has been widely applied to problems dealing with high-dimensional data, e.g., selecting significant variables and controlling the selection error rate. The most prevailing measure of error rate used in the…

统计方法学 · 统计学 2022-06-07 Xiaoya Sun , Yan Fu

While Conformal Prediction (CP) has proven to be a powerful framework for uncertainty quantification, guaranteeing conditional coverage remains a central challenge. Although finite-sample, distribution-free conditional validity is known to…

统计方法学 · 统计学 2026-05-27 Félix Laplante

Recently, there has been significant work studying distribution testing under the Conditional Sampling model. In this model, a query specifies a subset $S$ of the domain, and the output received is a sample drawn from the distribution…

数据结构与算法 · 计算机科学 2020-11-05 Shyam Narayanan
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