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We consider testing marginal independence versus conditional independence in a trivariate Gaussian setting. The two models are non-nested and their intersection is a union of two marginal independences. We consider two sequences of such…

Statistics Theory · Mathematics 2020-10-23 F. Richard Guo , Thomas S. Richardson

We develop a novel test of the instrumental variable identifying assumptions for heterogeneous treatment effect models with conditioning covariates. We assume semiparametric dependence between potential outcomes and conditioning covariates.…

Econometrics · Economics 2023-09-19 Thomas Carr , Toru Kitagawa

Modeling of high order multivariate probability distribution is a difficult problem which occurs in many fields. Copula approach is a good choice for this purpose, but the curse of dimensionality still remains a problem. In this paper we…

Statistics Theory · Mathematics 2010-09-16 Edith Kovacs , Tamas Szantai

The tetrad constraint is widely used to test whether four observed variables are conditionally independent given a latent variable, based on the fact that if four observed variables following a linear model are mutually independent after…

Methodology · Statistics 2026-04-01 Naiwen Ying , Ping Zhang , Shanshan Luo , Wang Miao

Many machine learning problems require the prediction of multi-dimensional labels. Such structured prediction models can benefit from modeling dependencies between labels. Recently, several deep learning approaches to structured prediction…

Machine Learning · Computer Science 2018-02-14 Nataly Brukhim , Amir Globerson

The accuracy of deep neural networks is significantly influenced by the effectiveness of mini-batch construction during training. In single-label scenarios, such as binary and multi-class classification tasks, it has been demonstrated that…

Machine Learning · Computer Science 2024-12-24 Ao Zhou , Bin Liu , Jin Wang , Grigorios Tsoumakas

Over the last couple of decades, several copula based methods have been proposed in the literature to test for the independence among several random variables. But these existing tests are not invariant under monotone transformations of the…

Statistics Theory · Mathematics 2019-11-15 Angshuman Roy , Anil Ghosh , Alok Goswami , C. A. Murthy

Conditional randomization tests (CRTs) assess whether a variable $x$ is predictive of another variable $y$, having observed covariates $z$. CRTs require fitting a large number of predictive models, which is often computationally…

Methodology · Statistics 2023-04-12 Mukund Sudarshan , Aahlad Manas Puli , Wesley Tansey , Rajesh Ranganath

Multi-label classification is the task of assigning a subset of labels to a given query instance. For evaluating such predictions, the set of predicted labels needs to be compared to the ground-truth label set associated with that instance,…

Machine Learning · Computer Science 2020-11-03 Eyke Hüllermeier , Marcel Wever , Eneldo Loza Mencia , Johannes Fürnkranz , Michael Rapp

Modeling the dependence between outputs is a fundamental challenge in multilabel classification. In this work we show that a generic regularized nonlinearity mapping independent predictions to joint predictions is sufficient to achieve…

Machine Learning · Computer Science 2015-04-22 Nikos Karampatziakis , Paul Mineiro

Testing (conditional) independence of multivariate random variables is a task central to statistical inference and modelling in general - though unfortunately one for which to date there does not exist a practicable workflow. State-of-art…

Machine Learning · Statistics 2018-05-01 Samuel Burkart , Franz J Király

Adjusting for covariates is a well established method to estimate the total causal effect of an exposure variable on an outcome of interest. Depending on the causal structure of the mechanism under study there may be different adjustment…

Statistics Theory · Mathematics 2021-04-27 Jack Kuipers , Giusi Moffa

Multilabel classification is a relatively recent subfield of machine learning. Unlike to the classical approach, where instances are labeled with only one category, in multilabel classification, an arbitrary number of categories is chosen…

Artificial Intelligence · Computer Science 2013-03-01 Alfonso E. Romero , Luis M. de Campos

There has been increased interest in devising learning techniques that combine unlabeled data with labeled data ? i.e. semi-supervised learning. However, to the best of our knowledge, no study has been performed across various techniques…

Machine Learning · Computer Science 2011-09-12 N. V. Chawla , Grigoris Karakoulas

Deep heteroscedastic regression models the mean and covariance of the target distribution through neural networks. The challenge arises from heteroscedasticity, which implies that the covariance is sample dependent and is often unknown.…

Machine Learning · Computer Science 2025-02-18 Megh Shukla , Aziz Shameem , Mathieu Salzmann , Alexandre Alahi

Graphical models are widely used in diverse application domains to model the conditional dependencies amongst a collection of random variables. In this paper, we consider settings where the graph structure is covariate-dependent, and…

Machine Learning · Statistics 2025-04-24 Jiahe Lin , Yikai Zhang , George Michailidis

Annotating data for multi-label classification is prohibitively expensive because every category of interest must be confirmed to be present or absent. Recent work on single positive multi-label (SPML) learning shows that it is possible to…

Machine Learning · Computer Science 2023-05-26 Julio Arroyo , Pietro Perona , Elijah Cole

The multinomial probit model is a typical statistical model for multiple-choice data applied in many research areas. When we are interested in some quantiles of relative utilities for understanding the distribution of these utilities, the…

Methodology · Statistics 2025-08-20 Masaaki Okabe , Koki Matsuoka , Jun Tsuchida , Hiroshi Yadohisa

Due to the expensive costs of collecting labels in multi-label classification datasets, partially annotated multi-label classification has become an emerging field in computer vision. One baseline approach to this task is to assume…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Youngwook Kim , Jae Myung Kim , Jieun Jeong , Cordelia Schmid , Zeynep Akata , Jungwoo Lee

Measuring dependence between two events, or equivalently between two binary random variables, amounts to expressing the dependence structure inherent in a $2\times 2$ contingency table in a real number between $-1$ and $1$. Countless such…

Methodology · Statistics 2025-11-13 Marc-Oliver Pohle , Timo Dimitriadis , Jan-Lukas Wermuth
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