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Popular technologies for generating spatially resolved transcriptomic data measure gene expression at the resolution of a "spot", i.e., a small tissue region 55 microns in diameter. Each spot can contain many cells of different types. In…

Applications · Statistics 2025-11-24 Hyun Jung Koo , Aaron J. Molstad

Clustering of gene expression time series gives insight into which genes may be coregulated, allowing us to discern the activity of pathways in a given microarray experiment. Of particular interest is how a given group of genes varies with…

Quantitative Methods · Quantitative Biology 2018-02-13 Muhammad Arifur Rahman , Paul R. Heath , Neil D. Lawrence

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

Spectral clustering is a powerful technique for clustering high-dimensional data, utilizing graph-based representations to detect complex, non-linear structures and non-convex clusters. The construction of a similarity graph is essential…

Machine Learning · Computer Science 2025-01-27 Kamal Berahmand , Farid Saberi-Movahed , Razieh Sheikhpour , Yuefeng Li , Mahdi Jalili

Spatial transcriptomics clustering is pivotal for identifying cell subpopulations by leveraging spatial location information. While recent graph-based methods modeling cell-cell interactions have improved clustering accuracy, they remain…

Machine Learning · Computer Science 2026-01-21 Chenkai Guo , Yikai Zhu , Renxiang Guan , Jinli Ma , Siwei Wang , Ke Liang , Guangdun Peng , Dayu Hu

The integration of single-cell RNA sequencing (scRNA-seq) and spatial transcriptomics (ST) data is crucial for understanding gene expression in spatial context. Existing methods for such integration have limited performance, with structural…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Rabeya Tus Sadia , Md Atik Ahamed , Qiang Cheng

Single-cell gene expression measurements encode variability spanning molecular noise, cell-to-cell heterogeneity, and technical artifacts. Mechanistic stochastic models provide powerful approaches to disentangle these sources, yet inferring…

Quantitative Methods · Quantitative Biology 2025-09-19 Christopher E. Miles

Deep learning-based nuclei segmentation and classification in pathology images typically rely on large-scale pixel-level manual annotations, which are costly and difficult to obtain across diverse tissues and staining conditions. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Kazuya Nishimura , Ryoma Bise , Haruka Hirose , Yasuhiro Kojima

Single-cell-resolution spatial transcriptomics profiles gene expression at cellular locations in native tissues, yet accurate cell-type annotation remains challenging: imaging-based platforms are constrained by targeted gene panels, whereas…

Cell Behavior · Quantitative Biology 2026-05-27 Yiyang Zhang , Bokai Zhao , Xiaoru Zhang , Zongchang Du , Xiaojuan Sun , Tianzi Jiang

Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the number of variables, these models can be easily…

Methodology · Statistics 2018-09-25 Michael Fop , Thomas Brendan Murphy , Luca Scrucca

This paper investigates the problem of adjusting for spatial effects in genomic prediction. Despite being seldomly considered in genomic prediction, spatial effects often affect phenotypic measurements of plants. We consider a Gaussian…

Applications · Statistics 2020-06-09 Xiaojun Mao , Somak Dutta , Raymond K. W. Wong , Dan Nettleton

Tumour heterogeneity in breast cancer poses challenges in predicting outcome and response to therapy. Spatial transcriptomics technologies may address these challenges, as they provide a wealth of information about gene expression at the…

Image and Video Processing · Electrical Eng. & Systems 2023-09-19 Md Mamunur Rahaman , Ewan K. A. Millar , Erik Meijering

We present a scalable Gaussian process model for identifying and characterizing smooth multidimensional changepoints, and automatically learning changes in expressive covariance structure. We use Random Kitchen Sink features to flexibly…

Spectral clustering is a powerful method for finding structure in a dataset through the eigenvectors of a similarity matrix. It often outperforms traditional clustering algorithms such as $k$-means when the structure of the individual…

Numerical Analysis · Mathematics 2019-04-26 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

Methodology · Statistics 2025-05-16 Luca Scrucca

Spatial transcriptomics provides an unprecedented perspective for deciphering tissue spatial heterogeneity. However, high-resolution spatial transcriptomic technology remains constrained by limited gene coverage, technical complexity, and…

Biomolecules · Quantitative Biology 2026-05-19 Xinlei Huang , Weihao Dai , Zijun Qin , Xin Yu , Di Wang , Yanran Liu , Lixin Cheng , Xubin Zheng

Although extensive research exists in spatial modeling, few studies have addressed finite mixture model-based clustering methods for spatial data. Finite mixture models, especially Gaussian mixture models, particularly suffer from high…

We develop here a semiparametric Gaussian mixture model (SGMM) for unsupervised learning with valuable spatial information taken into consideration. Specifically, we assume for each instance a random location. Then, conditional on this…

Methodology · Statistics 2025-10-21 Baichen Yu , Jin Liu , Hansheng Wang

We study Spatial Logistic Gaussian Process (SLGP) models for non-parametric estimation of probability density fields using scattered samples of heterogeneous sizes. SLGPs are examined from the perspective of random measures and their…

Statistics Theory · Mathematics 2025-02-20 Athénaïs Gautier , David Ginsbourger

Mapping of spatial hotspots, i.e., regions with significantly higher rates of generating cases of certain events (e.g., disease or crime cases), is an important task in diverse societal domains, including public health, public safety,…

Machine Learning · Statistics 2021-10-12 Yiqun Xie , Shashi Shekhar , Yan Li
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