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Model selection is a cornerstone of statistical inference, where information criteria are widely employed to balance model fit and complexity. However, classical likelihood-based criteria are often highly sensitive to contamination,…

Methodology · Statistics 2026-03-26 Udita Goswami , Shuvashree Mondal

This paper addresses the problem of representing the set of repairs of a possibly inconsistent database by means of a disjunctive database. Specifically, the class of denial constraints is considered. We show that, given a database and a…

Databases · Computer Science 2008-11-14 Cristian Molinaro , Jan Chomicki , Jerzy Marcinkowski

Clustering mixed data presents numerous challenges inherent to the very heterogeneous nature of the variables. A clustering algorithm should be able, despite of this heterogeneity, to extract discriminant pieces of information from the…

Machine Learning · Computer Science 2022-05-10 Robin Fuchs , Denys Pommeret , Cinzia Viroli

Many current challenges involve understanding the complex dynamical interplay between the constituents of systems. Typically, the number of such constituents is high, but only limited data sources on them are available. Conventional…

Populations and Evolution · Quantitative Biology 2021-12-17 Jana C. Massing , Thilo Gross

Accurate modeling is essential in integer-valued real phenomena, including the distribution of entire data, zero-inflated (ZI) data, and discrete exceedances. The Poisson and Negative Binomial distributions, along with their ZI variants,…

Methodology · Statistics 2025-10-20 Touqeer Ahmad , Irshad Ahmad Arshad

In regression analysis of multivariate data, it is tacitly assumed that response and predictor variables in each observed response-predictor pair correspond to the same entity or unit. In this paper, we consider the situation of "permuted…

Statistics Theory · Mathematics 2017-11-17 Martin Slawski , Emanuel Ben-David

Network datasets typically exhibit certain types of statistical dependencies, such as within-dyad correlation, row and column heterogeneity, and third-order dependence patterns such as transitivity and clustering. The first two of these can…

Methodology · Statistics 2018-07-24 Peter D. Hoff

A major challenge in nuclear fusion research is the coherent combination of data from heterogeneous diagnostics and modelling codes for machine control and safety as well as physics studies. Measured data from different diagnostics often…

Count data take on non-negative integer values and are challenging to properly analyze using standard linear-Gaussian methods such as linear regression and principal components analysis. Generalized linear models enable direct modeling of…

Methodology · Statistics 2020-01-14 F. William Townes

Finite mixture distributions arise in sampling a heterogeneous population. Data drawn from such a population will exhibit extra variability relative to any single subpopulation. Statistical models based on finite mixtures can assist in the…

Methodology · Statistics 2024-01-19 Andrew M. Raim , Nagaraj K. Neerchal , Jorge G. Morel

Conjunctive table algebras are introduced and axiomatically characterized. A conjunctive table algebra is a variant of SPJR algebra (a weaker form of relational algebra), which corresponds to conjunctive queries with equality. The table…

Logic · Mathematics 2024-04-03 Jens Kötters , Stefan E. Schmidt

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

Methodology · Statistics 2020-05-20 Li-Chun Zhang

(Dis)agreement detection aims to identify the authors' attitudes or positions (\textit{{agree, disagree, neutral}}) towards a specific text. It is limited for existing methods merely using textual information for identifying…

Computation and Language · Computer Science 2023-02-09 Yun Luo , Zihan Liu , Stan Z. Li , Yue Zhang

Our goal is to build classification models using a combination of free-text and structured data. To do this, we represent structured data by text sentences, DataWords, so that similar data items are mapped into the same sentence. This…

Machine Learning · Computer Science 2022-02-18 Stephen I. Gallant , Mirza Nasir Hossain

Missing data arises when certain values are not recorded or observed for variables of interest. However, most of the statistical theory assume complete data availability. To address incomplete databases, one approach is to fill the gaps…

Modern datasets commonly feature both substantial missingness and many variables of mixed data types, which present significant challenges for estimation and inference. Complete case analysis, which proceeds using only the observations with…

Methodology · Statistics 2023-04-10 Joseph Feldman , Daniel R. Kowal

Relational data in its most basic form is a static collection of known facts. However, by learning to infer and deduct additional information and structure, we can massively increase the usefulness of the underlying data. One common form of…

Machine Learning · Computer Science 2019-07-30 Xavier Holt

We formulate an info-clustering paradigm based on a multivariate information measure, called multivariate mutual information, that naturally extends Shannon's mutual information between two random variables to the multivariate case…

Information Theory · Computer Science 2016-12-13 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou , Tarik Kaced , Tie Liu

We study belief revision when information is represented by a set of probability distributions, or general information. General information extends the standard event notion while including qualitative information (A is more likely than B),…

Theoretical Economics · Economics 2025-02-04 Adam Dominiak , Matthew Kovach , Gerelt Tserenjigmid

Scientific and commercial data is often incomplete. Recovery of the missing information is an important pre-processing step in data analysis. Real-world data can in many cases be represented as a superposition of two or more different types…

Functional Analysis · Mathematics 2017-05-31 Emily J. King , James M. Murphy