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For a nonlinear dynamical system that depends on parameters, the paper introduces a novel tensorial reduced-order model (TROM). The reduced model is projection-based, and for systems with no parameters involved, it resembles proper…

Numerical Analysis · Mathematics 2023-11-16 Alexander V. Mamonov , Maxim A. Olshanskii

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

The integration of spatial multi-omics data from single tissues is crucial for advancing biological research. However, a significant data imbalance impedes progress: while spatial transcriptomics data is relatively abundant, spatial…

Artificial Intelligence · Computer Science 2026-02-06 Zhaorui Jiang , Yingfang Yuan , Lei Hu , Wei Pang

The development of single-cell and spatial transcriptomics has revolutionized our capacity to investigate cellular properties, functions, and interactions in both cellular and spatial contexts. However, the analysis of single-cell and…

Genomics · Quantitative Biology 2024-12-09 Shuang Ge , Shuqing Sun , Huan Xu , Qiang Cheng , Zhixiang Ren

Spatial Transcriptomics is a groundbreaking technology that integrates histology images with spatially resolved gene expression profiles. Among the various Spatial Transcriptomics techniques available, Visium has emerged as the most widely…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Daniela Ruiz , Paula Cárdenas , Leonardo Manrique , Daniela Vega , Gabriel M. Mejia , Pablo Arbeláez

Spatially resolved transcriptomics is a fast-developing set of technologies that enables the measurement of localized gene expression across spatial locations in a sample. Detecting spatially varying genes is critical for analyzing such…

Applications · Statistics 2026-04-22 Pritam Dey , Rajarshi Guhaniyogi , Yang Ni , Bani K. Mallick

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

Intelligent medical diagnosis has shown remarkable progress based on the large-scale datasets with precise annotations. However, fewer labeled images are available due to significantly expensive cost for annotating data by experts. To fully…

Image and Video Processing · Electrical Eng. & Systems 2023-03-06 Wentao Lei , Lei Liu , Li Liu

Although recent deep learning methods, especially generative models, have shown good performance in fast magnetic resonance imaging, there is still much room for improvement in high-dimensional generation. Considering that internal…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Wei Zhang , Zengwei Xiao , Hui Tao , Minghui Zhang , Xiaoling Xu , Qiegen Liu

Spatial transcriptomics (ST) has revolutionised transcriptomics analysis by preserving tissue architecture, allowing researchers to study gene expression in its native spatial context. However, despite its potential, ST still faces…

Quantitative Methods · Quantitative Biology 2025-05-19 Anthony Baptista , Rosamond Nuamah , Ciro Chiappini , Anita Grigoriadis

Spatial transcriptomics (ST) is an emerging technology that enables researchers to investigate the molecular relationships underlying tissue morphology. However, acquiring ST data remains prohibitively expensive, and traditional fixed-grid…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Junchao Zhu , Ruining Deng , Junlin Guo , Tianyuan Yao , Chongyu Qu , Juming Xiong , Siqi Lu , Zhengyi Lu , Yanfan Zhu , Marilyn Lionts , Yuechen Yang , Yalin Zheng , Yu Wang , Shilin Zhao , Haichun Yang , Yuankai Huo

A new statistical model designed for regression analysis with a sparse design matrix is proposed. This new model utilizes the positions of the limited non-zero elements in the design matrix to decompose the regression model into…

Applications · Statistics 2022-01-17 Hsien-Wei Chen

With the rapid advancement of Spatial Resolved Transcriptomics (SRT) technology, it is now possible to comprehensively measure gene transcription while preserving the spatial context of tissues. Spatial domain identification and gene…

Genomics · Quantitative Biology 2024-08-14 Donghai Fang , Fangfang Zhu , Dongting Xie , Wenwen Min

Motivated by applications in neuroimaging analysis, we propose a new regression model, Sparse TensOr REsponse regression (STORE), with a tensor response and a vector predictor. STORE embeds two key sparse structures: element-wise sparsity…

Machine Learning · Statistics 2017-11-28 Will Wei Sun , Lexin Li

This paper delves into the realm of stochastic optimization for compositional minimax optimization - a pivotal challenge across various machine learning domains, including deep AUC and reinforcement learning policy evaluation. Despite its…

Machine Learning · Computer Science 2023-12-13 Jin Liu , Xiaokang Pan , Junwen Duan , Hongdong Li , Youqi Li , Zhe Qu

Advances in spatially-resolved transcriptomics (SRT) technologies have propelled the development of new computational analysis methods to unlock biological insights. As the cost of generating these data decreases, these technologies provide…

Genomics · Quantitative Biology 2024-08-02 Boyi Guo , Wodan Ling , Sang Ho Kwon , Pratibha Panwar , Shila Ghazanfar , Keri Martinowich , Stephanie C. Hicks

Spatial transcriptomics (ST) is a groundbreaking genomic technology that enables spatial localization analysis of gene expression within tissue sections. However, it is significantly limited by high costs and sparse spatial resolution. An…

Image and Video Processing · Electrical Eng. & Systems 2024-07-31 Zhiceng Shi , Shuailin Xue , Fangfang Zhu , Wenwen Min

Decentralized nonconvex optimization has received increasing attention in recent years in machine learning due to its advantages in system robustness, data privacy, and implementation simplicity. However, three fundamental challenges in…

Machine Learning · Computer Science 2021-05-20 Xin Zhang , Jia Liu , Zhengyuan Zhu , Elizabeth S. Bentley

Recently, tensor data (or multidimensional array) have been generated in many modern applications, such as functional magnetic resonance imaging (fMRI) in neuroscience and videos in video analysis. Many efforts are made in recent years to…

Machine Learning · Computer Science 2023-08-10 Jiaqi Zhang , Yinghao Cai , Zhaoyang Wang , Beilun Wang

Scanning transmission electron microscopy (STEM) has become the technique of choice for quantitative characterization of atomic structure of materials, where the minute displacements of atomic columns from high-symmetry positions can be…

Materials Science · Physics 2021-10-05 Kevin M. Roccapriore , Nicole Creange , Maxim Ziatdinov , Sergei V. Kalinin