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Classification is a fundamental task in machine learning. While conventional methods-such as binary, multiclass, and multi-label classification-are effective for simpler problems, they may not adequately address the complexities of some…

In this paper, we study how class imbalance, typical of low-default credit portfolios, affects the performance of logistic regression models. Using a simulation study with controlled data-generating mechanisms, we vary (i) the level of…

Risk Management · Quantitative Finance 2026-02-24 Willem D. Schutte , Charl Pretorius , Neill Smit , Leandra van der Merwe , Robert Maxwell

As a forward-looking measure of future equity market volatility, the VIX index has gained immense popularity in recent years to become a key measure of risk for market analysts and academics. We consider discrete reported intraday VIX tick…

Applications · Statistics 2018-12-04 Han Lin Shang , Yang Yang , Fearghal Kearney

The categorical Gini correlation proposed by Dang et al. is a dependence measure to characterize independence between categorical and numerical variables. The asymptotic distributions of the sample correlation under dependence and…

Statistics Theory · Mathematics 2023-04-19 Yongli Sang , Xin Dang

Research on multi-modal learning dominantly aligns the modalities in a unified space at training, and only a single one is taken for prediction at inference. However, for a real machine, e.g., a robot, sensors could be added or removed at…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Yuanhuiyi Lyu , Xu Zheng , Dahun Kim , Lin Wang

The emergence of microgrids (MGs) has provided a promising solution for decarbonizing and decentralizing the power grid, mitigating the challenges posed by climate change. However, MG operations often involve considering multiple objectives…

Systems and Control · Electrical Eng. & Systems 2025-02-18 M. Vivienne Liu , Patrick M. Reed , David Gold , Garret Quist , C. Lindsay Anderson

This paper introduces a framework for post-processing machine learning models so that their predictions satisfy multi-group fairness guarantees. Based on the celebrated notion of multicalibration, we introduce $(\mathbf{s},\mathcal{G},…

Machine Learning · Statistics 2024-05-06 Lujing Zhang , Aaron Roth , Linjun Zhang

We address the problem of recovering multiple structures of different classes in a dataset contaminated by noise and outliers. In particular, we consider geometric structures defined by a mixture of underlying parametric models (e.g. planes…

Machine Learning · Computer Science 2025-05-19 Luca Magri , Filippo Leveni , Giacomo Boracchi

Classical measures of inequality use the mean as the benchmark of economic dispersion. They are not sensitive to inequality at the left tail of the distribution, where it would matter most. This paper presents a new inequality measurement…

Econometrics · Economics 2022-09-13 Mario Schlemmer

In this paper, we provide new theoretical results on the generalization properties of learning algorithms for multiclass classification problems. The originality of our work is that we propose to use the confusion matrix of a classifier as…

Machine Learning · Computer Science 2012-05-25 Pierre Machart , Liva Ralaivola

Envelope model also known as multivariate regression model was proposed to solve the multiple response regression problems. It measures the linear association between predictors and multiple responses by using the minimal reducing subspace…

Methodology · Statistics 2018-05-07 Bochao Jia

The recent advancements in machine learning have motivated researchers to generate classification models dealing with hundreds of classes such as in the case of image datasets. However, visualization of classification models with high…

Human-Computer Interaction · Computer Science 2023-09-13 Nina Mir , Ragaad AlTarawneh , Shah Rukh Humayoun

Parkinson's disease assessment has garnered growing interest in recent years, particularly with the advent of sensor data and machine learning techniques. Among these, multimodal approaches have demonstrated strong performance by…

Artificial Intelligence · Computer Science 2025-11-05 Minlin Zeng , Zhipeng Zhou , Yang Qiu , Martin J. McKeown , Zhiqi Shen

In the computer vision and machine learning communities, as well as in many other research domains, rigorous evaluation of any new method, including classifiers, is essential. One key component of the evaluation process is the ability to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-19 Sébastien Piérard , Anaïs Halin , Anthony Cioppa , Adrien Deliège , Marc Van Droogenbroeck

The receiver operating characteristic (ROC) curve is a very useful tool for analyzing the diagnostic/classification power of instruments/classification schemes as long as a binary-scale gold standard is available. When the gold standard is…

Methodology · Statistics 2011-05-10 Zhanfeng Wang , Yuan-chin Ivan Chang

Class imbalance is an intrinsic characteristic of multi-label data. Most of the labels in multi-label data sets are associated with a small number of training examples, much smaller compared to the size of the data set. Class imbalance…

Machine Learning · Computer Science 2018-11-07 Bin Liu , Grigorios Tsoumakas

The categorical Gini correlation is an alternative measure of dependence between a categorical and numerical variables, which characterizes the independence of the variables. A nonparametric test for the equality of K distributions has been…

Methodology · Statistics 2019-08-02 Yongli Sang , Xin Dang , Yichuan Zhao

Graph Neural Network (GNN) is an emerging technique for graph-based learning tasks such as node classification. In this work, we reveal the vulnerability of GNN to the imbalance of node labels. Traditional solutions for imbalanced…

Machine Learning · Computer Science 2022-02-08 Xiaohe Li , Lijie Wen , Yawen Deng , Fuli Feng , Xuming Hu , Lei Wang , Zide Fan

Multi-sourced datasets are common in studies of variable interactions, for example, individual-level fMRI integration, cross-domain recommendation, etc, where each source induces a related but distinct dependency structure. Joint learning…

Methodology · Statistics 2025-12-08 Shixiang Liu , Yanhang Zhang , Zhifan Li , Jianxin Yin

In this letter, an integrated task planning and reactive motion planning framework termed Multi-FLEX is presented that targets real-world, industrial multi-robot applications. Reactive motion planning has been attractive for the purposes of…