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Score-based generative modelling (SGM) has proven to be a very effective method for modelling densities on finite-dimensional spaces. In this work we propose to extend this methodology to learn generative models over functional spaces. To…

The location, timing, and abundance of gene expression (both mRNA and proteins) within a tissue define the molecular mechanisms of cell functions. Recent technology breakthroughs in spatial molecular profiling, including imaging-based…

Applications · Statistics 2020-12-10 Qiwei Li , Minzhe Zhang , Yang Xie , Guanghua Xiao

Visualizing high dimensional data by projecting them into two or three dimensional space is one of the most effective ways to intuitively understand the data's underlying characteristics, for example their class neighborhood structure.…

Machine Learning · Computer Science 2020-04-06 Pitoyo Hartono

Spatial transcriptomics (ST) enables spatially resolved gene profiling but remains expensive and low-throughput, limiting large-cohort studies and routine clinical use. Predicting spatial gene expression from routine hematoxylin and eosin…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Changfan Wang , Xinran Wang , Donghai Liu , Fei Su , Lulu Sun , Zhicheng Zhao , Zhu Meng

This paper proposes a spatiotemporal (ST) fusion framework robust against diverse noise for satellite images, named Temporally-Similar Structure-Aware ST fusion (TSSTF). ST fusion is a promising approach to address the trade-off between the…

Signal Processing · Electrical Eng. & Systems 2026-01-30 Ryosuke Isono , Shunsuke Ono

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

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Terahertz Time-Domain Spectroscopy is a powerful technique for extracting the low-frequency optical properties of materials. However, the optical constants are difficult to determine directly from the experimental transfer function, such…

Optics · Physics 2025-06-02 Kamyar Rashidi , Matthew Y. Sfeir

Current high-resolution imaging techniques require an intact sample that preserves spatial relationships. We here present a novel approach, "puzzle imaging," that allows imaging a spatially scrambled sample. This technique takes many…

Neurons and Cognition · Quantitative Biology 2016-02-17 Joshua I. Glaser , Bradley M. Zamft , George M. Church , Konrad P. Kording

In this paper, a multi-resolution feature extraction algorithm for face recognition is proposed based on two-dimensional discrete wavelet transform (2D-DWT), which efficiently exploits the local spatial variations in a face image. For the…

Computer Vision and Pattern Recognition · Computer Science 2011-10-10 Hafiz Imtiaz , Shaikh Anowarul Fattah

In this paper, we study the problem of inferring spatially-varying Gaussian Markov random fields (SV-GMRF) where the goal is to learn a network of sparse, context-specific GMRFs representing network relationships between genes. An important…

Applications · Statistics 2022-06-22 Visweswaran Ravikumar , Tong Xu , Wajd N. Al-Holou , Salar Fattahi , Arvind Rao

The rapid development of digital pathology and modern deep learning has facilitated the emergence of pathology foundation models that are expected to solve general pathology problems under various disease conditions in one unified model,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Yutong Sun , Sichen Zhu , Peng Qiu

Symbolic regression has recently gained traction in AI-driven scientific discovery, aiming to recover explicit closed-form expressions from data that reveal underlying physical laws. Despite recent advances, existing methods remain…

Methodology · Statistics 2026-03-02 Somjit Roy , Pritam Dey , Bani K. Mallick

Many cellular responses to surrounding cues require temporally concerted transcriptional regulation of multiple genes. In prokaryotic cells, a single-input-module motif with one transcription factor regulating multiple target genes can…

Subcellular Processes · Quantitative Biology 2019-06-19 Jingyu Zhang , Hengyu Chen , Ruoyan Li , David A. Taft , Guang Yao , Fan Bai , Jianhua Xing

One of the most powerful techniques to study protein structures is to look for recurrent fragments (also called substructures or spatial motifs), then use them as patterns to characterize the proteins under study. An emergent trend consists…

Computational Engineering, Finance, and Science · Computer Science 2018-03-02 Wajdi Dhifli , Rabie Saidi , Engelbert Mephu Nguifo

Spatial transcriptomics is an emerging field that enables the identification of functional regions based on the spatial distribution of gene expression. Integrating this functional information present in transcriptomic data with structural…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Shanaka Liyanaarachchi , Chathurya Wijethunga , Shihab Aaqil Ahamed , Akthas Absar , Ranga Rodrigo

Recent advances in deep learning for medical image segmentation demonstrate expert-level accuracy. However, in clinically realistic environments, such methods have marginal performance due to differences in image domains, including…

Computer Vision and Pattern Recognition · Computer Science 2019-06-13 Ling Zhang , Xiaosong Wang , Dong Yang , Thomas Sanford , Stephanie Harmon , Baris Turkbey , Holger Roth , Andriy Myronenko , Daguang Xu , Ziyue Xu

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

Applications · Statistics 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

For 3D spatial transcriptomics (ST), the high per-section acquisition cost of fully sampling every tissue section remains a significant challenge. Although recent approaches predict gene expression from histology images, these methods…

Image and Video Processing · Electrical Eng. & Systems 2025-07-30 Jiahe Qian , Yaoyu Fang , Xinkun Wang , Lee A. Cooper , Bo Zhou

High-resolution time-frequency (TF) analysis plays crucial role in characterizing multicomponent signal (MCSs) and estimating oscillatory properties. Linear time-frequency representations (TFRs) such as classical short-time Fourier…

Signal Processing · Electrical Eng. & Systems 2023-12-12 Rayyan Abdalla