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We demonstrate how to test for conditional independence of two variables with categorical data using Poisson log-linear models. The size of the conditioning set of variables can vary from 0 (simple independence) up to many variables. We…

Methodology · Statistics 2017-06-08 Michail Tsagris

A new index based on empirical copulas, termed the Copula Statistic (CoS), is introduced for assessing the strength of multivariate dependence and for testing statistical independence. New properties of the copulas are proved. They allow us…

Statistics Theory · Mathematics 2016-12-22 Mohsen Ben Hassine , Lamine Mili , Kiran Karra

Measuring conditional dependencies among the variables of a network is of great interest to many disciplines. This paper studies some shortcomings of the existing dependency measures in detecting direct causal influences or their lack of…

Machine Learning · Statistics 2017-06-05 Jalal Etesami , Kun Zhang , Negar Kiyavash

Even with the luxury of having abundant data, multi-label classification is widely known to be a challenging task to address. This work targets the problem of multi-label meta-learning, where a model learns to predict multiple labels within…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Christian Simon , Piotr Koniusz , Mehrtash Harandi

In many real-world scenarios, interested variables are often represented as discretized values due to measurement limitations. Applying Conditional Independence (CI) tests directly to such discretized data, however, can lead to incorrect…

Artificial Intelligence · Computer Science 2025-06-11 Boyang Sun , Yu Yao , Xinshuai Dong , Zongfang Liu , Tongliang Liu , Yumou Qiu , Kun Zhang

Primary importance is devoted to Fault Detection and Diagnosis (FDI) of electrical machine and drive systems in modern industrial automation. The widespread use of Machine Learning techniques has made it possible to replace traditional…

Machine Learning · Computer Science 2019-08-06 Adrienn Dineva , Amir Mosavi , Mate Gyimesi , Istvan Vajda

Segmentation uncertainty models predict a distribution over plausible segmentations for a given input, which they learn from the annotator variation in the training set. However, in practice these annotations can differ systematically in…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Kilian Zepf , Eike Petersen , Jes Frellsen , Aasa Feragen

This paper addresses the problem of finding parametric constraints that ensure the validity of the multivariate Mat{\'e}rn covariance for modeling the spatial correlation structure of coregionalized variables defined in an Euclidean space.…

Methodology · Statistics 2022-01-04 Xavier Emery , Emilio Porcu , Philip White

This paper deals with a situation when one is interested in the dependence structure of a multidimensional response variable in the presence of a multivariate covariate. It is assumed that the covariate affects only the marginal…

Statistics Theory · Mathematics 2019-03-12 Marek Omelka , Šárka Hudecová , Natalie Neumeyer

In many applications, especially due to lack of supervision or privacy concerns, the training data is grouped into bags of instances (feature-vectors) and for each bag we have only an aggregate label derived from the instance-labels in the…

Machine Learning · Computer Science 2025-07-16 Sagalpreet Singh , Navodita Sharma , Shreyas Havaldar , Rishi Saket , Aravindan Raghuveer

Many real-world applications adopt multi-label data streams as the need for algorithms to deal with rapidly changing data increases. Changes in data distribution, also known as concept drift, cause the existing classification models to…

Machine Learning · Computer Science 2022-02-02 Ege Berkay Gulcan , Fazli Can

Unlike the typical classification setting where each instance is associated with a single class, in multi-label learning each instance is associated with multiple classes simultaneously. Therefore the learning task in this setting is to…

Machine Learning · Computer Science 2022-11-30 Harris Papadopoulos

Testing independence among a number of (ultra) high-dimensional random samples is a fundamental and challenging problem. By arranging $n$ identically distributed $p$-dimensional random vectors into a $p \times n$ data matrix, we investigate…

Statistics Theory · Mathematics 2017-03-28 Xi Chen , Weidong Liu

We show how to estimate a model's test error from unlabeled data, on distributions very different from the training distribution, while assuming only that certain conditional independencies are preserved between train and test. We do not…

Machine Learning · Computer Science 2016-06-17 Jacob Steinhardt , Percy Liang

We consider multi-label prediction problems with large output spaces under the assumption of output sparsity -- that the target (label) vectors have small support. We develop a general theory for a variant of the popular error correcting…

Machine Learning · Computer Science 2009-06-02 Daniel Hsu , Sham M. Kakade , John Langford , Tong Zhang

To avoid failures on out-of-distribution data, recent works have sought to extract features that have an invariant or stable relationship with the label across domains, discarding "spurious" or unstable features whose relationship with the…

Adaptive machine learning (ML) aims to allow ML models to adapt to ever-changing environments with potential concept drift after model deployment. Traditionally, adaptive ML requires a new dataset to be manually labeled to tailor deployed…

Machine Learning · Computer Science 2024-04-10 Yutian Ren , Aaron Haohua Yen , G. P. Li

When faced with distribution shift at test time, deep neural networks often make inaccurate predictions with unreliable uncertainty estimates. While improving the robustness of neural networks is one promising approach to mitigate this…

Machine Learning · Computer Science 2021-09-28 Aurick Zhou , Sergey Levine

Multi-output regression seeks to borrow strength and leverage commonalities across different but related outputs in order to enhance learning and prediction accuracy. A fundamental assumption is that the output/group membership labels for…

Machine Learning · Statistics 2023-07-04 Seokhyun Chung , Raed Al Kontar , Zhenke Wu

Noise in data appears to be inevitable in most real-world machine learning applications and would cause severe overfitting problems. Not only can data features contain noise, but labels are also prone to be noisy due to human input. In this…

Machine Learning · Computer Science 2025-05-09 Weipeng Huang , Qin Li , Yang Xiao , Cheng Qiao , Tie Cai , Junwei Liang , Neil J. Hurley , Guangyuan Piao