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Multivariate time series data for real-world applications typically contain a significant amount of missing values. The dominant approach for classification with such missing values is to impute them heuristically with specific values…

Machine Learning · Computer Science 2023-08-15 SeungHyun Kim , Hyunsu Kim , EungGu Yun , Hwangrae Lee , Jaehun Lee , Juho Lee

Tracking multiple time-varying states based on heterogeneous observations is a key problem in many applications. Here, we develop a statistical model and algorithm for tracking an unknown number of targets based on the probabilistic fusion…

Signal Processing · Electrical Eng. & Systems 2022-01-10 Domenico Gaglione , Paolo Braca , Giovanni Soldi , Florian Meyer , Franz Hlawatsch , Moe Z. Win

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

Synthesizing high-quality tabular data is an important topic in many data science tasks, ranging from dataset augmentation to privacy protection. However, developing expressive generative models for tabular data is challenging due to its…

Machine Learning · Computer Science 2025-02-18 Juntong Shi , Minkai Xu , Harper Hua , Hengrui Zhang , Stefano Ermon , Jure Leskovec

Ambient air pollution remains a critical issue in the United Kingdom, where data on air pollution concentrations form the foundation for interventions aimed at improving air quality. However, the current air pollution monitoring station…

Applications · Statistics 2024-01-18 Liam J Berrisford , Lucy S Neal , Helen J Buttery , Benjamin R Evans , Ronaldo Menezes

We propose a novel model-based clustering approach for samples of time series. We assume as a unique commonality that two observations belong to the same group if structural changes in their behaviours happen at the same time. We resort to…

Methodology · Statistics 2024-10-15 Riccardo Corradin , Luca Danese , Wasiur R. KhudaBukhsh , Andrea Ongaro

The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

Social and Information Networks · Computer Science 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad

In various biomedical studies, analysis often focuses on data magnitudes, particularly when algebraic signs are irrelevant or lost. For repeated measures studies involving magnitude outcomes, incorporating random effects is essential as…

Methodology · Statistics 2025-07-16 Wen Teng , Niall D. Ferguson , Ewan C. Goligher , Anna Heath

In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

Methodology · Statistics 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

Precipitation data collected at sub-hourly resolution represents specific challenges for missing data recovery by being largely stochastic in nature and highly unbalanced in the duration of rain vs non-rain. Here we present a two-step…

Scientific discoveries are increasingly constrained by limited storage space and I/O capacities. For time-series simulations and experiments, their data often need to be decimated over timesteps to accommodate storage and I/O limitations.…

Model-based clustering is a powerful tool that is often used to discover hidden structure in data by grouping observational units that exhibit similar response values. Recently, clustering methods have been developed that permit…

Methodology · Statistics 2025-06-24 Sally Paganin , Garritt L. Page , Fernando Andrés Quintana

In clinical trials, mixed effects models for repeated measures (MMRM) and pattern mixture models (PMM) are often used to analyze longitudinal continuous outcomes. We describe a simple missing data imputation algorithm for the MMRM that can…

Methodology · Statistics 2016-10-13 Yongqiang Tang

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

We introduce an extension of finite mixture models by incorporating skew-normal distributions within a Hidden Markov Model framework. By assuming a constant transition probability matrix and allowing emission distributions to vary according…

Methodology · Statistics 2025-09-25 Andrea Nigri , Marco Forti , Han Lin Shang

Mobile technology enables unprecedented continuous monitoring of an individual's behavior, social interactions, symptoms, and other health conditions, presenting an enormous opportunity for therapeutic advancements and scientific…

The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on the probability that each agent has of belonging to a given…

Analysis of PDEs · Mathematics 2019-07-12 Marco Morandotti , Francesco Solombrino

We formulate a novel technique for the detection of functional clusters in discrete event data. The advantage of this algorithm is that no prior knowledge of the number of functional groups is needed, as our procedure progressively combines…

Neurons and Cognition · Quantitative Biology 2015-05-13 S. Feldt , J. Waddell , V. L. Hetrick , J. D. Berke , M. Zochowski

Clustering of mixed-type datasets can be a particularly challenging task as it requires taking into account the associations between variables with different level of measurement, i.e., nominal, ordinal and/or interval. In some cases,…

Methodology · Statistics 2022-04-22 Odysseas Moschidis , Angelos Markos , Theodore Chadjipadelis

Mixture models extend the toolbox of clustering methods available to the data analyst. They allow for an explicit definition of the cluster shapes and structure within a probabilistic framework and exploit estimation and inference…

Methodology · Statistics 2025-09-15 Bettina Grün