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Compositional data arise in many real-life applications and versatile methods for properly analyzing this type of data in the regression context are needed. When parametric assumptions do not hold or are difficult to verify, non-parametric…

Methodology · Statistics 2023-09-07 Michail Tsagris , Abdulaziz Alenazi , Connie Stewart

The paper revisits the $\alpha$--regression framework for compositional data. The model uses a flexible power transformation parameterized by $\alpha$ to interpolate between raw data analysis and log--ratio methods, naturally handling zeros…

Methodology · Statistics 2026-05-14 Michail Tsagris , Yannis Pantazis

Probabilistic Component Latent Analysis (PLCA) is a statistical modeling method for feature extraction from non-negative data. It has been fruitfully applied to various research fields of information retrieval. However, the EM-solved…

Methodology · Statistics 2017-03-16 D. Cazau , G. Nuel

Compositional data analysis is concerned with multivariate data that have a constant sum, usually 1 or 100\%. These are data often found in biochemistry and geochemistry, but also in the social sciences, when relative values are of interest…

Methodology · Statistics 2021-10-26 Michael Greenacre

Regression with compositional response or covariates, or even regression between parts of a composition, is frequently employed in social sciences. Among other possible applications, it may help to reveal interesting features in time…

Statistics Theory · Mathematics 2016-09-27 Ivo Muller , Karel Hron , Eva Fiserova , Jan Smahaj , Panajotis Cakirpaloglu , Jana Vancakova

Longitudinal studies are subject to nonresponse when individuals fail to provide data for entire waves or particular questions of the survey. We compare approaches to nonresponse bias analysis (NRBA) in longitudinal studies and illustrate…

Methodology · Statistics 2024-01-31 Yajuan Si , Roderick Little , Ya Mo , Nell Sedransk

Across fields such as machine learning, social science, geography, considerable attention has been given to models that factorize a nonnegative matrix into the product of two or three matrices, subject to nonnegative or row-sum-to-1…

Machine Learning · Statistics 2025-12-30 Qianqian Qi , Peter G. M. van der Heijden

We propose Impatient Deep Neural Networks (DNNs) which deal with dynamic time budgets during application. They allow for individual budgets given a priori for each test example and for anytime prediction, i.e., a possible interruption at…

Computer Vision and Pattern Recognition · Computer Science 2016-10-11 Manuel Amthor , Erik Rodner , Joachim Denzler

Compositional data are commonly known as multivariate observations carrying relative information. Even though the case of vector or even two-factorial compositional data (compositional tables) is already well described in the literature,…

Methodology · Statistics 2022-01-26 Kamila Fačevicová , Peter Filzmoser , Karel Hron

Latent variable models are used to estimate variables of interest quantities which are observable only up to some measurement error. In many studies, such variables are known but not precisely quantifiable (such as "job satisfaction" in…

Machine Learning · Statistics 2012-10-19 Ricardo Silva

In compositional data analysis an observation is a vector containing non-negative values, only the relative sizes of which are considered to be of interest. Without loss of generality, a compositional vector can be taken to be a vector of…

Methodology · Statistics 2015-06-18 Michail Tsagris , Simon Preston , Andrew T. A. Wood

Hierarchical feature learning based on convolutional neural networks (CNN) has recently shown significant potential in various computer vision tasks. While allowing high-quality discriminative feature learning, the downside of CNNs is the…

Computer Vision and Pattern Recognition · Computer Science 2016-09-14 Domen Tabernik , Matej Kristan , Jeremy L. Wyatt , Aleš Leonardis

Discovering latent representations of the observed world has become increasingly more relevant in data analysis. Much of the effort concentrates on building latent variables which can be used in prediction problems, such as classification…

Machine Learning · Computer Science 2010-01-08 Ricardo Silva

Cognitive diagnostic assessment aims to measure specific knowledge structures in students. To model data arising from such assessments, cognitive diagnostic models with discrete latent variables have gained popularity in educational and…

Methodology · Statistics 2023-08-25 Seunghyun Lee , Yuqi Gu

High-dimensional multivariate longitudinal data, which arise when many outcome variables are measured repeatedly over time, are becoming increasingly common in social, behavioral and health sciences. We propose a latent variable model for…

Methodology · Statistics 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

Compositional data have two unique characteristics compared to typical multivariate data: the observed values are nonnegative and their summand is exactly one. To reflect these characteristics, a specific regularized regression model with…

Machine Learning · Computer Science 2018-12-24 Jong-June Jeon , Yongdai Kim , Sungho Won , Hosik Choi

There are two popular general approaches for the analysis and visualization of a contingency table and a compositional data set: Correspondence analysis (CA) and log ratio analysis (LRA). LRA includes two independently well developed…

Methodology · Statistics 2020-09-14 J. Allard , S. Champigny , V. Choulakian , S. Mahdi

Structured data, such as tables, graphs, and databases, play a critical role in plentiful NLP tasks such as question answering and dialogue system. Recently, inspired by Vision-Language Models, Graph Neutral Networks (GNNs) have been…

Computation and Language · Computer Science 2025-02-11 Yao Xu , Shizhu He , Jiabei Chen , Zeng Xiangrong , Bingning Wang , Guang Liu , Jun Zhao , Kang Liu

Recurrent Neural Networks (RNNs) have emerged as an interesting alternative to conventional material modeling approaches, particularly for nonlinear path dependent materials. Remarkable computational enhancements are obtained using RNNs…

Computational Engineering, Finance, and Science · Computer Science 2024-09-05 Petter Uvdal , Mohsen Mirkhalaf

Transformers can under some circumstances generalize to novel problem instances whose constituent parts might have been encountered during training, but whose compositions have not. What mechanisms underlie this ability for compositional…

Machine Learning · Computer Science 2025-02-18 Simon Schug , Seijin Kobayashi , Yassir Akram , João Sacramento , Razvan Pascanu
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