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While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

Machine Learning · Statistics 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

The description of complex configuration is a difficult issue. We present a powerful technique for cluster identification and characterization. The scheme is designed to treat with and analyze the experimental and/or simulation data from…

Statistical Mechanics · Physics 2013-08-29 Guangcai Zhang , Aiguo Xu , Guo Lu , Zeyao Mo

Bayesian statistics and Markov Chain Monte Carlo (MCMC) algorithms have found their place in the field of Cosmology. They have become important mathematical and numerical tools, especially in parameter estimation and model comparison. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-02 Luis E. Padilla , Luis O. Tellez , Luis A. Escamilla , J. Alberto Vazquez

Spatial Transcriptomics (ST) enables the measurement of gene expression while preserving spatial information, offering critical insights into tissue architecture and disease pathology. Recent developments have explored the use of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Hai Dang Nguyen , Nguyen Dang Huy Pham , The Minh Duc Nguyen , Dac Thai Nguyen , Hang Thi Nguyen , Duong M. Nguyen

In many applications of Bayesian clustering, posterior sampling on the discrete state space of cluster allocations is achieved via Markov chain Monte Carlo (MCMC) techniques. As it is typically challenging to design transition kernels to…

Computation · Statistics 2019-06-14 Masoud Asgharian , Martin Lysy , Vahid Partovi Nia

Statistical shape modeling (SSM) enables population-based quantitative analysis of anatomical shapes, informing clinical diagnosis. Deep learning approaches predict correspondence-based SSM directly from unsegmented 3D images but require…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Jadie Adams , Shireen Elhabian

In this paper we present a new model and an algorithm for unsupervised clustering of 2-D data such as images. We assume that the data comes from a union of multilinear subspaces (UOMS) model, which is a specific structured case of the much…

Information Theory · Computer Science 2015-12-22 Eric Kernfeld , Nathan Majumder , Shuchin Aeron , Misha Kilmer

Clustering of proteins is of interest in cancer cell biology. This article proposes a hierarchical Bayesian model for protein (variable) clustering hinging on correlation structure. Starting from a multivariate normal likelihood, we enforce…

Computation · Statistics 2022-02-09 Riddhi Pratim Ghosh , Arnab Kumar Maity , Mohsen Pourahmadi , Bani K. Mallick

In this article, we develop and investigate a new classifier based on features extracted using spatial depth. Our construction is based on fitting a generalized additive model to the posterior probabilities of the different competing…

Methodology · Statistics 2015-04-16 Subhajit Dutta , Anil K. Ghosh

The characteristics and determinants of health and disease are often organised in space, reflecting our spatially extended nature. Understanding the influence of such factors requires models capable of capturing spatial relations. Though a…

Dominant features of spatial data are connected structures or patterns that emerge from location-based variation and manifest at specific scales or resolutions. To identify dominant features, we propose a sequential application of…

Methodology · Statistics 2020-12-17 Roman Flury , Florian Gerber , Bernhard Schmid , Reinhard Furrer

Accurate survival prediction from histopathology whole-slide images (WSIs) remains challenging due to their gigapixel resolution, strong spatial heterogeneity, and complex survival distributions. We introduce a comprehensive computational…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Ardhendu Sekhar , Vasu Soni , Keshav Aske , Shivam Madnoorkar , Pranav Jeevan , Amit Sethi

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

Applications · Statistics 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato

The computational analysis of Mass Spectrometry Imaging (MSI) data aims at the identification of interesting mass co-localizations and the visualization of their lateral distribution in the sample, usually a tissue cross section. But as the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Karsten Wüllems , Tim W. Nattkemper

Spatial proteomics maps protein distributions in tissues, providing transformative insights for life sciences. However, current sequencing-based technologies suffer from low spatial resolution, and substantial inter-tissue variability in…

Quantitative Methods · Quantitative Biology 2025-08-26 Bokai Zhao , Weiyang Shi , Hanqing Chao , Zijiang Yang , Yiyang Zhang , Ming Song , Tianzi Jiang

In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union…

Machine Learning · Computer Science 2015-02-24 Eric Kernfeld , Shuchin Aeron , Misha Kilmer

Recent work on overfitting Bayesian mixtures of distributions offers a powerful framework for clustering multivariate data using a latent Gaussian model which resembles the factor analysis model. The flexibility provided by overfitting…

Methodology · Statistics 2019-08-29 Panagiotis Papastamoulis

In epidemiological disease mapping one aims to estimate the spatio-temporal pattern in disease risk and identify high-risk clusters, allowing health interventions to be appropriately targeted. Bayesian spatio-temporal models are used to…

Methodology · Statistics 2014-11-11 Duncan Lee , Andrew Lawson

Generating interpretable visualizations from complex data is a common problem in many applications. Two key ingredients for tackling this issue are clustering and representation learning. However, current methods do not yet successfully…

Machine Learning · Computer Science 2020-06-11 Laura Manduchi , Matthias Hüser , Julia Vogt , Gunnar Rätsch , Vincent Fortuin

Spatial transcriptomics (ST) bridges gene expression and tissue morphology but faces clinical adoption barriers due to technical complexity and prohibitive costs. While computational methods predict gene expression from H&E-stained…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Ziqiao Weng , Yaoyu Fang , Jiahe Qian , Xinkun Wang , Lee AD Cooper , Weidong Cai , Bo Zhou