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Interval-censored multi state data is collected when the state of a subject is observed periodically. The analysis of such data using non-parametric multi-state models was not possible until recently, but is very desirable as it allows for…

Methodology · Statistics 2025-07-16 Daniel Gomon , Hein Putter

This paper presents a novel Integer Programming (IP) approach for discovering the Markov Equivalent Class (MEC) of Bayesian Networks (BNs) through observational data. The MEC-IP algorithm utilizes a unique clique-focusing strategy and…

Machine Learning · Computer Science 2024-10-25 Abdelmonem Elrefaey , Rong Pan

Multimodal single-cell technologies enable the simultaneous collection of diverse data types from individual cells, enhancing our understanding of cellular states. However, the integration of these datatypes and modeling the…

Machine Learning · Computer Science 2023-11-22 Bhavya Mehta , Nirmit Deliwala , Madhav Chandane

In many semiparametric models that are parameterized by two types of parameters---a Euclidean parameter of interest and an infinite-dimensional nuisance parameter---the two parameters are bundled together, that is, the nuisance parameter is…

Statistics Theory · Mathematics 2012-03-13 Ying Ding , Bin Nan

Stochastic epidemic models (SEMs) fit to incidence data are critical to elucidating outbreak dynamics, shaping response strategies, and preparing for future epidemics. SEMs typically represent counts of individuals in discrete infection…

Methodology · Statistics 2021-11-02 Jonathan Fintzi , Jon Wakefield , Vladimir N. Minin

Cure models have been developed as an alternative modelling approach to conventional survival analysis in order to account for the presence of cured subjects that will never experience the event of interest. Mixture cure models, which model…

Methodology · Statistics 2022-07-19 Eni Musta , Valentin Patilea , Ingrid Van Keilegom

Causal inference across multiple data sources offers a promising avenue to enhance the generalizability and replicability of scientific findings. However, data integration methods for time-to-event outcomes, common in biomedical research,…

Methodology · Statistics 2025-05-16 Yi Liu , Alexander W. Levis , Ke Zhu , Shu Yang , Peter B. Gilbert , Larry Han

Multi-state models are commonly used for intermittent observations of a state over time, but these are generally based on the Markov assumption, that transition rates are independent of the time spent in current and previous states. In a…

Methodology · Statistics 2026-05-07 Christopher Jackson

We show how the expectation-maximization (EM) algorithm can be applied exactly for the fitting of mixtures of general multivariate skew t (MST) distributions, eliminating the need for computationally expensive Monte Carlo estimation. Finite…

Methodology · Statistics 2012-09-06 S. X. Lee , G. J. McLachlan

Recently, learned image compression has attracted considerable attention due to its superior performance over traditional methods. However, most existing approaches employ a single entropy model to estimate the probability distribution of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Chunhang Zheng , Zichang Ren , Dou Li

Semi-Markov Conditional Random Fields (semi-CRFs) assign labels to segments of a sequence rather than to individual positions, enabling exact inference over segment-level features and principled uncertainty estimates at their boundaries.…

Machine Learning · Computer Science 2026-04-22 Benjamin K. Johnson , Thomas Goralski , Ayush Semwal , Hui Shen , H. Josh Jang

Continuous-time multistate models are widely used for analyzing interval-censored data on disease progression over time. Sometimes, diseases manifest differently and what appears to be a coherent collection of symptoms is the expression of…

Methodology · Statistics 2024-10-08 Yidan Shi , Leilei Zeng , Mary E. Thompson , Suzanne L. Tyas

Hidden Markov models provide a natural statistical framework for the detection of the copy number variations (CNV) in genomics. In this paper, we consider a Hidden Markov Model involving several correlated hidden processes at the same time.…

Methodology · Statistics 2017-06-22 Xiaoqiang Wang , Emilie Lebarbier , Julie Aubert , Stéphane Robin

The emergence of novel pathogens and zoonotic diseases like the SARS-CoV-2 have underlined the need for developing novel diagnosis and intervention pipelines that can learn rapidly from small amounts of labeled data. Combined with…

Interval-censored data are common in fields such as epidemiology and demography. When the failure event of interest is relatively rare and the collection of covariates is costly, researchers often adopt the case-cohort design to reduce…

Methodology · Statistics 2025-09-29 Yeyu Xiao , Yonghong Long

We propose a novel Markov chain Monte-Carlo (MCMC) method for reverse engineering the topological structure of stochastic reaction networks, a notoriously challenging problem that is relevant in many modern areas of research, like…

Methodology · Statistics 2018-10-08 Daniel F. Linder , Grzegorz A. Rempala

Interval censoring arises frequently in clinical, epidemiological, financial, and sociological studies, where the event or failure of interest is known only to occur within an interval induced by periodic monitoring. We formulate the…

Methodology · Statistics 2016-03-01 Donglin Zeng , Lu Mao , D. Y. Lin

Objective: Recognizing retinal vessel abnormity is vital to early diagnosis of ophthalmological diseases and cardiovascular events. However, segmentation results are highly influenced by elusive vessels, especially in low-contrast…

Image and Video Processing · Electrical Eng. & Systems 2019-12-19 Yukun Zhou , Zailiang Chen , Hailan Shen , Xianxian Zheng , Rongchang Zhao , Xuanchu Duan

Sequential Monte Carlo methods are a powerful framework for approximating the posterior distribution of a state variable in a sequential manner. They provide an attractive way of analyzing dynamic systems in real-time, taking into account…

Populations and Evolution · Quantitative Biology 2024-08-29 Dhorasso Temfack , Jason Wyse

In this article we consider Bayesian estimation of static parameters for a class of partially observed McKean-Vlasov diffusion processes with discrete-time observations over a fixed time interval. This problem features several obstacles to…

Computation · Statistics 2025-04-23 Ajay Jasra , Amin Wu