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We study the problems of sequential nonparametric two-sample and independence testing. Sequential tests process data online and allow using observed data to decide whether to stop and reject the null hypothesis or to collect more data,…

机器学习 · 统计学 2023-07-21 Aleksandr Podkopaev , Aaditya Ramdas

Curriculum Learning is a powerful training method that allows for faster and better training in some settings. This method, however, requires having a notion of which examples are difficult and which are easy, which is not always trivial to…

机器学习 · 计算机科学 2022-07-11 Alain Raymond-Saez , Julio Hurtado , Alvaro Soto

Mutual information is a well-known tool to measure the mutual dependence between variables. In this paper, a Bayesian nonparametric estimation of mutual information is established by means of the Dirichlet process and the $k$-nearest…

统计方法学 · 统计学 2021-08-10 Luai Al-Labadi , Forough Fazeli Asl , Zahra Saberi

Among the many loopholes that might be invoked to reconcile local realism with the experimental violations of Bell's inequalities, the space-dependence of the correlation functions appears particularly relevant for its connections with the…

量子物理 · 物理学 2025-02-14 F. Benatti , R. Floreanini , H. Narnhofer

This Comment argues that two assumptions, which are presented as basic assumptions of Bell's theorem in [J. Handsteiner et al., Phys. Rev. Lett. 118, 060401 (2017)] and elsewhere, in fact follow from more basic premises. Measurement…

量子物理 · 物理学 2017-05-12 Nathan Argaman

To evaluate clustering results is a significant part of cluster analysis. There are no true class labels for clustering in typical unsupervised learning. Thus, a number of internal evaluations, which use predicted labels and data, have been…

机器学习 · 计算机科学 2021-01-06 Shuyue Guan , Murray Loew

Independence testing is a classical statistical problem that has been extensively studied in the batch setting when one fixes the sample size before collecting data. However, practitioners often prefer procedures that adapt to the…

Recent years have seen the development of many novel scoring tools for disease prognosis and prediction. To become accepted for use in clinical applications, these tools have to be validated on external data. In practice, validation is…

统计方法学 · 统计学 2022-12-06 Matthias Schmid , Tim Friede , Nadja Klein , Leonie Weinhold

A new cluster validity index is proposed for fuzzy clusters obtained from fuzzy c-means algorithm. The proposed validity index exploits inter-cluster proximity between fuzzy clusters. Inter-cluster proximity is used to measure the degree of…

人工智能 · 计算机科学 2024-07-10 Dae-Won Kim , Kwang H. Lee

In the context of cluster analysis and graph partitioning, many external evaluation measures have been proposed in the literature to compare two partitions of the same set. This makes the task of selecting the most appropriate measure for a…

机器学习 · 计算机科学 2021-02-09 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

An extension of the latent class model is presented for clustering categorical data by relaxing the classical "class conditional independence assumption" of variables. This model consists in grouping the variables into inter-independent and…

统计计算 · 统计学 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

Quasi-set theory is a first order theory without identity, which allows us to cope with non-individuals in a sense. A weaker equivalence relation called ``indistinguishability'' is an extension of identity in the sense that if $x$ is…

量子物理 · 物理学 2015-06-26 Adonai S. Sant'Anna

Many classification problems can be difficult to formulate directly in terms of the traditional supervised setting, where both training and test samples are individual feature vectors. There are cases in which samples are better described…

机器学习 · 统计学 2016-07-12 Veronika Cheplygina , David M. J. Tax , Marco Loog

In this paper new tests for the independence of two high-dimensional vectors are investigated. We consider the case where the dimension of the vectors increases with the sample size and propose multivariate analysis of variance-type…

统计理论 · 数学 2023-04-19 Taras Bodnar , Holger Dette , Nestor Parolya

In this paper we propose a Bayesian answer to testing problems when the hypotheses are not well separated. The idea of the method is to study the posterior distribution of a discrepancy measure between the parameter and the model we want to…

统计理论 · 数学 2017-06-28 Jean-Bernard Salomond

Traditional clustering identifies groups of objects that share certain qualities. Tangles do the converse: they identify groups of qualities that often occur together. They can thereby discover, relate, and structure types: of behaviour,…

人工智能 · 计算机科学 2024-05-15 Reinhard Diestel

Clustered standard errors and approximate randomization tests are popular inference methods that allow for dependence within observations. However, they require researchers to know the cluster structure ex ante. We propose a procedure to…

计量经济学 · 经济学 2022-01-14 Yong Cai

It is suggested to insert into test matrix 1s for correct responses, 0s for response refusals, and negative corrective elements for incorrect responses. With the classical test theory approach test scores of examinees and items are…

机器学习 · 计算机科学 2007-05-23 Kromer Victor

There is a useful counterpart of conformal prediction for e-values, called conformal e-prediction. Conformal prediction can serve as basis for testing the assumption of exchangeability, leading to conformal testing. Similarly, conformal…

统计理论 · 数学 2024-11-05 Vladimir Vovk , Ilia Nouretdinov , Alex Gammerman