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Linear stochastic transitivity is a central assumption in paired comparison models that is rarely verified in practice. Empirical violations, however, are common and can substantially affect inference and ranking. We develop a class of…

Methodology · Statistics 2026-04-02 Rahul Singh , Ori Davidov

We study the problem of multiple hypothesis testing for multidimensional data when inter-correlations are present. The problem of multiple comparisons is common in many applications. When the data is multivariate and correlated, existing…

Statistics Theory · Mathematics 2015-06-02 Mahdis Azadbakhsh , Xin Gao , Hanna Jankowski

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

Optimization and Control · Mathematics 2025-12-02 Ryan Cory-Wright , Jean Pauphilet

Performance of clustering algorithms is evaluated with the help of accuracy metrics. There is a great diversity of clustering algorithms, which are key components of many data analysis and exploration systems. However, there exist only few…

Data Structures and Algorithms · Computer Science 2019-02-18 Artem Lutov , Mourad Khayati , Philippe Cudré-Mauroux

The abundance of data produced daily from large variety of sources has boosted the need of novel approaches on causal inference analysis from observational data. Observational data often contain noisy or missing entries. Moreover, causal…

Methodology · Statistics 2017-03-14 Fani Tsapeli , Peter Tino , Mirco Musolesi

The pairwise winning indices, computed in the Stochastic Multicriteria Acceptability Analysis, give the probability with which an alternative is preferred to another taking into account all the instances of the assumed preference model…

Optimization and Control · Mathematics 2022-03-29 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

Most practical data science problems encounter missing data. A wide variety of solutions exist, each with strengths and weaknesses that depend upon the missingness-generating process. Here we develop a theoretical framework for training and…

Machine Learning · Computer Science 2022-11-15 Jahan C. Penny-Dimri , Christoph Bergmeir , Julian Smith

Missing data are a concern in many real world data sets and imputation methods are often needed to estimate the values of missing data, but data sets with excessive missingness and high dimensionality challenge most approaches to…

Machine Learning · Statistics 2021-04-22 Andrew J. Becker , James P. Bagrow

Abstract Like electoral systems, decision-making methods are also vulnerable to manipulation by decision-makers. The ability to effectively defend against such threats can only come from thoroughly understanding the manipulation mechanisms.…

Artificial Intelligence · Computer Science 2024-03-25 Jacek Szybowski , Konrad Kułakowski , Jiri Mazurek , Sebastian Ernst

Multi-modal learning has made significant advances across diverse pattern recognition applications. However, handling missing modalities, especially under imbalanced missing rates, remains a major challenge. This imbalance triggers a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Binyu Zhao , Wei Zhang , Zhaonian Zou

We consider fits to two or more datasets for which results from the sa me experiment share a common systematic uncertainty in addition to their individ ual statistical errors. This is important in extracting the maximum information from a…

Data Analysis, Statistics and Probability · Physics 2020-09-29 Roger John Barlow

Factor analysis models explain dependence among observed variables by a smaller number of unobserved factors. A main challenge in confirmatory factor analysis is determining whether the factor loading matrix is identifiable from the…

Statistics Theory · Mathematics 2026-01-21 Nils Sturma , Miriam Kranzlmueller , Irem Portakal , Mathias Drton

In cluster-randomized trials (CRTs), missing data can occur in various ways, including missing values in outcomes and baseline covariates at the individual or cluster level, or completely missing information for non-participants. Among the…

Methodology · Statistics 2025-11-06 Bingkai Wang , Fan Li , Rui Wang

Regular medical records are useful for medical practitioners to analyze and monitor patient health status especially for those with chronic disease, but such records are usually incomplete due to unpunctuality and absence of patients. In…

Methods for quantifying the similarity of datasets are relevant in applications where two or more datasets, or their underlying distributions, need to be compared, ranging from two- and k-sample testing to applications in machine learning…

Methodology · Statistics 2026-04-15 Marieke Stolte , Jörg Rahnenführer , Andrea Bommert

In unsupervised machine learning, agreement between partitions is commonly assessed with so-called external validity indices. Researchers tend to use and report indices that quantify agreement between two partitions for all clusters…

Machine Learning · Statistics 2019-01-08 Matthijs J. Warrens , Hanneke van der Hoef

Monotone missing data is a common problem in data analysis. However, imputation combined with dimensionality reduction can be computationally expensive, especially with the increasing size of datasets. To address this issue, we propose a…

Techniques of matrix completion aim to impute a large portion of missing entries in a data matrix through a small portion of observed ones. In practice including collaborative filtering, prior information and special structures are usually…

Statistics Theory · Mathematics 2022-03-09 Ji Chen , Xiaodong Li , Zongming Ma

We propose a generic numerical measure of inconsistency of a database with respect to a set of integrity constraints. It is based on an abstract repair semantics. A particular inconsistency measure associated to cardinality-repairs is…

Databases · Computer Science 2018-07-16 Leopoldo Bertossi

Matching for causal inference is a well-studied problem, but standard methods fail when the units to match are text documents: the high-dimensional and rich nature of the data renders exact matching infeasible, causes propensity scores to…

Methodology · Statistics 2019-03-15 Reagan Mozer , Luke Miratrix , Aaron Russell Kaufman , L. Jason Anastasopoulos