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High-dimensional data must be highly structured to be learnable. Although the compositional and hierarchical nature of data is often put forward to explain learnability, quantitative measurements establishing these properties are scarce.…

Machine Learning · Statistics 2025-03-04 Antonio Sclocchi , Alessandro Favero , Noam Itzhak Levi , Matthieu Wyart

Multivariate longitudinal data of mixed-type are increasingly collected in many science domains. However, algorithms to cluster this kind of data remain scarce, due to the challenge to simultaneously model the within- and between-time…

Machine Learning · Statistics 2025-09-16 Francesco Amato , Julien Jacques

We introduce a numerically tractable formulation of Bayesian joint models for longitudinal and survival data. The longitudinal process is modelled using generalised linear mixed models, while the survival process is modelled using a…

Methodology · Statistics 2021-04-23 Danilo Alvares , Francisco Javier Rubio

Not only does mobile health technology enable researchers to track changes in multiple longitudinal outcomes of interest and to record the occurrence of health-related events over time, but it also allows for the delivery of repeated…

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

Machine Learning · Computer Science 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

We identify a phenomenon, which we refer to as multi-model forgetting, that occurs when sequentially training multiple deep networks with partially-shared parameters; the performance of previously-trained models degrades as one optimizes a…

Finite mixture models are useful in applied econometrics. They can be used to model unobserved heterogeneity, which plays major roles in labor economics, industrial organization and other fields. Mixtures are also convenient in dealing with…

Econometrics · Economics 2018-11-08 Yuichi Kitamura , Louise Laage

Joint modeling of longitudinal and survival data has become increasingly important in medical research, particularly for understanding disease progression in chronic conditions where both repeated biomarker measurements and time-to-event…

Methodology · Statistics 2025-12-30 Nithisha Suryadevara , Vivek Reddy Srigiri

Dementia currently affects about 50 million people worldwide, and this number is rising. Since there is still no cure, the primary focus remains on preventing modifiable risk factors such as cardiovascular factors. It is now recognized that…

Methodology · Statistics 2024-08-14 Léonie Courcoul , Catherine Helmer , Antoine Barbieri , Hélène Jacqmin-Gadda

Continuous-time event data are common in applications such as individual behavior data, financial transactions, and medical health records. Modeling such data can be very challenging, in particular for applications with many different types…

Machine Learning · Statistics 2020-11-09 Alex Boyd , Robert Bamler , Stephan Mandt , Padhraic Smyth

Timely prediction of students at high risk of dropout is critical for early intervention and improving educational outcomes. However, in offline educational settings, poor data quality, limited scale, and high heterogeneity often hinder the…

Artificial Intelligence · Computer Science 2025-05-19 Jiabei Cheng , Zhen-Qun Yang , Jiannong Cao , Yu Yang , Xinzhe Zheng

Compositional, structured models are appealing because they explicitly decompose problems and provide interpretable intermediate outputs that give confidence that the model is not simply latching onto data artifacts. Learning these models…

Computation and Language · Computer Science 2021-04-06 Nitish Gupta , Sameer Singh , Matt Gardner , Dan Roth

Modern longitudinal studies collect multiple outcomes as the primary endpoints to understand the complex dynamics of the diseases. Oftentimes, especially in clinical trials, the joint variations among the multidimensional responses play a…

Methodology · Statistics 2024-01-17 Salil Koner , Sheng Luo

The information-theoretic framework promises to explain the predictive power of neural networks. In particular, the information plane analysis, which measures mutual information (MI) between input and representation as well as…

Information Theory · Computer Science 2023-03-02 Linara Adilova , Bernhard C. Geiger , Asja Fischer

We consider the problem of parameter estimation using weakly supervised datasets, where a training sample consists of the input and a partially specified annotation, which we refer to as the output. The missing information in the annotation…

Machine Learning · Computer Science 2012-06-22 M. Pawan Kumar , Ben Packer , Daphne Koller

Dropout is a widely used regularization technique in deep learning, but its effects are typically realized through stochastic masking rather than explicit optimization objectives. We propose a deterministic formulation that expresses…

Machine Learning · Computer Science 2026-04-23 Vidhi Agrawal , Illia Oleksiienko , Alexandros Iosifidis

Missing values in multivariate time series data can harm machine learning performance and introduce bias. These gaps arise from sensor malfunctions, blackouts, and human error and are typically addressed by data imputation. Previous work…

Machine Learning · Computer Science 2025-03-04 Mohammad Rafid Ul Islam , Prasad Tadepalli , Alan Fern

An efficient monotone data augmentation (MDA) algorithm is proposed for missing data imputation for incomplete multivariate nonnormal data that may contain variables of different types, and are modeled by a sequence of regression models…

Methodology · Statistics 2018-11-21 Yongqiang Tang

We present a nonparametric Bayesian joint model for multivariate continuous and categorical variables, with the intention of developing a flexible engine for multiple imputation of missing values. The model fuses Dirichlet process mixtures…

Applications · Statistics 2015-10-14 Jared S. Murray , Jerome P. Reiter

The identification of factors associated with mental and behavioral disorders in early childhood is critical both for psychopathology research and the support of primary health care practices. Motivated by the Millennium Cohort Study, in…

Methodology · Statistics 2021-09-15 Luca Merlo , Lea Petrella , Nikos Tzavidis
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