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In this paper we summarize the main parts of the first exit time theory developed in connection to the life table data and the resulting theoretical and applied issues. Several new tools arise from the development of this theory and…

Populations and Evolution · Quantitative Biology 2012-02-09 Christos H. Skiadas

We present a new method based on Functional Data Analysis (FDA) for detecting associations between one or more scalar covariates and a longitudinal response, while correcting for other variables. Our methods exploit the temporal structure…

Applications · Statistics 2014-04-30 Matthew Reimherr , Dan Nicolae

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. As such, the study of clusterability, which evaluates whether data possesses such structure, is an integral part of cluster analysis. Yet,…

Machine Learning · Computer Science 2016-02-24 Margareta Ackerman , Andreas Adolfsson , Naomi Brownstein

Principal Component Analysis (PCA) and K-means constitute fundamental techniques in multivariate analysis. Although they are frequently applied independently or sequentially to cluster observations, the relationship between them, especially…

Machine Learning · Statistics 2025-12-02 Victor Saquicela , Kenneth Palacio-Baus , Mario Chifla

The goal of cluster analysis in survival data is to identify clusters that are decidedly associated with the survival outcome. Previous research has explored this problem primarily in the medical domain with relatively small datasets, but…

Social and Information Networks · Computer Science 2017-03-10 S Chandra Mouli , Abhishek Naik , Bruno Ribeiro , Jennifer Neville

AI methods are increasingly shaping pharmaceutical drug discovery. However, their translation to industrial applications remains limited due to their reliance on public datasets, lacking scale and diversity of proprietary pharmaceutical…

Machine Learning · Computer Science 2026-05-07 Markus Bujotzek , Evelyn Trautmann , Calum Hand , Ian Hales

Although the analysis of human mortality has a well-established history, the attempt to accurately forecast future death-rate patterns for different age groups and time horizons still attracts active research. Such a predictive focus has…

Applications · Statistics 2024-01-15 Federico Pavone , Sirio Legramanti , Daniele Durante

In electronic health records (EHR) analysis, clustering patients according to patterns in their data is crucial for uncovering new subtypes of diseases. Existing medical literature often relies on classical hypothesis testing methods to…

Methodology · Statistics 2024-05-07 Zihan Zhu , Xin Gai , Anru R. Zhang

This paper explores the application of functional data analysis (FDA) as a means to study the dynamics of software evolution in the open source context. Several challenges in analyzing the data from software projects are discussed, an…

Statistics Theory · Mathematics 2007-06-13 Katherine J. Stewart , David P. Darcy , Sherae L. Daniel

Treatment of cancer involves heterogeneous, complex care pathways. The relationship between these longitudinal trajectories, baseline mental health, and prognostic outcomes remains poorly understood. We introduce an interpretable…

Functional data analysis (FDA) methods have computational and theoretical appeals for some high dimensional data, but lack the scalability to modern large sample datasets. To tackle the challenge, we develop randomized algorithms for two…

Computation · Statistics 2022-04-11 Shiyuan He , Xiaomeng Yan

Mixtures of factor analysers (MFA) models represent a popular tool for finding structure in data, particularly high-dimensional data. While in most applications the number of clusters, and especially the number of latent factors within…

Methodology · Statistics 2023-07-17 Margarita Grushanina , Sylvia Frühwirth-Schnatter

There have been significant efforts devoted to solving the longevity risk given that a continuous growth in population ageing has become a severe issue for many developed countries over the past few decades. The Cairns-Blake-Dowd (CBD)…

Applications · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

We propose a computationally simple framework for clustering functional data based on Gaussian-process-generated random projections. In this approach, each curve is first projected onto a large collection of independent Gaussian process…

Methodology · Statistics 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

Risk prediction is central to both clinical medicine and public health. While many machine learning models have been developed to predict mortality, they are rarely applied in the clinical literature, where classification tasks typically…

Machine Learning · Statistics 2017-12-05 Maggie Makar , Marzyeh Ghassemi , David Cutler , Ziad Obermeyer

This work introduces a Bayesian smoothing approach for the joint graduation of mortality rates across multiple populations. In particular, dynamical linear models are used to induce smoothness across ages through structured dependence,…

Age-specific probabilities of death provide a snapshot of population mortality at the country level at a given point in time. Due to the high dimensionality of the data, summarising mortality information is essential for various analyses,…

Applications · Statistics 2026-03-30 Pedro Menezes de Araújo , Isobel Claire Gormley , Thomas Brendan Murphy

In many studies, dimension reduction methods are used to profile participant characteristics. For example, nutrition epidemiologists often use latent class models to characterize dietary patterns. One challenge with such approaches is…

Applications · Statistics 2020-07-10 Briana Stephenson , Amy Herring , Andrew Olshan

In machine learning and data mining, Cluster analysis is one of the most widely used unsupervised learning technique. Philosophy of this algorithm is to find similar data items and group them together based on any distance function in…

Machine Learning · Statistics 2018-10-09 Kumarjit Pathak , Jitin Kapila

Time series clustering is essential in scientific applications, yet methods for functional time series, collections of infinite-dimensional curves treated as random elements in a Hilbert space, remain underdeveloped. This work presents…

Methodology · Statistics 2025-04-03 Angel Lopez-Oriona , Ying Sun , Han Lin Shang