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During embryonic development, differentiating cells respond via gene expression to positional cues from morphogen gradients. While gene expression is often highly erratic, embryonic development is precise. We show by theory and simulations…

Cell Behavior · Quantitative Biology 2015-05-13 Thorsten Erdmann , Martin Howard , Pieter Rein ten Wolde

Recent advances in Spatial Transcriptomics (ST) pair histology images with spatially resolved gene expression profiles, enabling predictions of gene expression across different tissue locations based on image patches. This opens up new…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Aniruddha Ganguly , Debolina Chatterjee , Wentao Huang , Jie Zhang , Alisa Yurovsky , Travis Steele Johnson , Chao Chen

Mapper, a topological algorithm, is frequently used as an exploratory tool to build a graphical representation of data. This representation can help to gain a better understanding of the intrinsic shape of high-dimensional genomic data and…

Genomics · Quantitative Biology 2023-07-19 Erik J. Amézquita , Farzana Nasrin , Kathleen M. Storey , Masato Yoshizawa

This paper presents the generalized spatial autoregression (GSAR) model, a significant advance in spatial econometrics for non-normal response variables belonging to the exponential family. The GSAR model extends the logistic SAR, probit…

Methodology · Statistics 2024-12-03 N. A. Cruz , J. D. Toloza-Delgado , O. O. Melo

The rapid development of spatial transcriptomics (ST) offers new opportunities to explore the gene expression patterns within the spatial microenvironment. Current research integrates pathological images to infer gene expression, addressing…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Junchao Zhu , Ruining Deng , Tianyuan Yao , Juming Xiong , Chongyu Qu , Junlin Guo , Siqi Lu , Yucheng Tang , Daguang Xu , Mengmeng Yin , Yu Wang , Shilin Zhao , Yaohong Wang , Haichun Yang , Yuankai Huo

Genome-wide gene expression profiles, as measured with microarrays or RNA-Seq experiments, have revolutionized biological and biomedical research by providing a quantitative measure of the entire mRNA transcriptome. Typically, researchers…

Applications · Statistics 2013-08-01 Neil R. Clark , Kevin Hu , Edward Y. Chen , Qioanan Duan , Avi Ma`ayan

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

Machine Learning · Computer Science 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

Methodology · Statistics 2015-09-15 Mark D. Risser , Catherine A. Calder

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

State-of-the-art deep learning methods have shown a remarkable capacity to model complex data domains, but struggle with geospatial data. In this paper, we introduce SpaceGAN, a novel generative model for geospatial domains that learns…

Machine Learning · Computer Science 2019-05-24 Konstantin Klemmer , Adriano Koshiyama , Sebastian Flennerhag

Spatial confounding is a persistent challenge in spatial statistics, influencing the validity of statistical inference in models that analyze spatially-structured data. The concept has been interpreted in various ways but is broadly defined…

The recent advancement of spatial transcriptomics (ST) allows to characterize spatial gene expression within tissue for discovery research. However, current ST platforms suffer from low resolution, hindering in-depth understanding of…

Image and Video Processing · Electrical Eng. & Systems 2025-11-05 Xiaofei Wang , Xingxu Huang , Stephen J. Price , Chao Li

Causal inference in spatial domains faces two intertwined challenges: (1) unmeasured spatial factors, such as weather, air pollution, or mobility, that confound treatment and outcome, and (2) interference from nearby treatments that violate…

Machine Learning · Computer Science 2025-10-13 Ayush Khot , Miruna Oprescu , Maresa Schröder , Ai Kagawa , Xihaier Luo

Convolutional neural networks (CNNs) have been applied to learn spatial features for high-resolution (HR) synthetic aperture radar (SAR) image classification. However, there has been little work on integrating the unique statistical…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Wenkai Liang , Yan Wu , Ming Li , Peng Zhang , Yice Cao , Xin Hu

Simultaneous analysis of gene expression data and genetic variants is highly of interest, especially when the number of gene expressions and genetic variants are both greater than the sample size. Association of both causal genes and…

Methodology · Statistics 2021-10-07 Morteza Amini

Spatial Transcriptomics (ST) provides spatially resolved gene expression profiles within intact tissue architecture, enabling molecular analysis in histological context. However, the high cost, limited throughput, and restricted data…

Machine Learning · Computer Science 2026-03-31 Yaoyu Fang , Jiahe Qian , Xinkun Wang , Lee A. Cooper , Bo Zhou

Understanding the complex nature of spatial information is crucial for problem solving in social and environmental sciences. This study investigates how the underlying patterns of spatial data can significantly influence the outcomes of…

Physics and Society · Physics 2024-09-17 Peng Luo , Yongze Song , Wenwen Li , Liqiu Meng

Spatiotemporal datasets, which consist of spatially-referenced time series, are ubiquitous in diverse applications, such as air pollution monitoring, disease tracking, and cloud-demand forecasting. As the scale of modern datasets increases,…

Machine Learning · Computer Science 2024-11-28 Feras Saad , Jacob Burnim , Colin Carroll , Brian Patton , Urs Köster , Rif A. Saurous , Matthew Hoffman

We introduce a novel Bayesian approach for both covariate selection and sparse precision matrix estimation in the context of high-dimensional Gaussian graphical models involving multiple responses. Our approach provides a sparse estimation…

Methodology · Statistics 2024-09-25 Anwesha Chakravarti , Naveen N. Narishetty , Feng Liang

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
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