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Unsupervised registration strategies bypass requirements in ground truth transforms or segmentations by optimising similarity metrics between fixed and moved volumes. Among these methods, a recent subclass of approaches based on…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Benjamin Billot , Ramya Muthukrishnan , Esra Abaci-Turk , P. Ellen Grant , Nicholas Ayache , Hervé Delingette , Polina Golland

Gene expression analysis aims at identifying the genes able to accurately predict biological parameters like, for example, disease subtyping or progression. While accurate prediction can be achieved by means of many different techniques,…

Methodology · Statistics 2008-09-11 Christine De Mol , Sofia Mosci , Magali Traskine , Alessandro Verri

In the past, optimization-based registration models have used spatially-varying regularization to account for deformation variations in different image regions. However, deep learning-based registration models have mostly relied on…

Image and Video Processing · Electrical Eng. & Systems 2023-03-14 Junyu Chen , Yihao Liu , Yufan He , Yong Du

Spatial Transcriptomics (ST) is a technology that measures gene expression profiles within tissue sections while retaining spatial context. It reveals localized gene expression patterns and tissue heterogeneity, both of which are essential…

Quantitative Methods · Quantitative Biology 2026-03-24 Wei Zhang , Jiajun Chu , Xinci Liu , Chen Tong , Xinyue Li

Spatial transcriptomics (ST) is a novel technology that enables the observation of gene expression at the resolution of individual spots within pathological tissues. ST quantifies the expression of tens of thousands of genes in a tissue…

Machine Learning · Computer Science 2025-11-25 Kaito Shiku , Kazuya Nishimura , Shinnosuke Matsuo , Yasuhiro Kojima , Ryoma Bise

We investigate a variational method for ill-posed problems, named $\texttt{graphLa+}\Psi$, which embeds a graph Laplacian operator in the regularization term. The novelty of this method lies in constructing the graph Laplacian based on a…

Numerical Analysis · Mathematics 2024-10-22 Davide Bianchi , Davide Evangelista , Stefano Aleotti , Marco Donatelli , Elena Loli Piccolomini , Wenbin Li

Spatial transcriptomics offers spatially resolved gene expression profiling within tissue sections, but its cost and limited throughput hinder large-scale deployment. To extend this capability to routine practice, recent computational…

Machine Learning · Computer Science 2026-05-07 Keunho Byeon , Jin Tae Kwak

Spatial transcriptomics (ST) captures gene expression within distinct regions (i.e., windows) of a tissue slide. Traditional supervised learning frameworks applied to model ST are constrained to predicting expression from slide image…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Yan Yang , Md Zakir Hossain , Xuesong Li , Shafin Rahman , Eric Stone

This paper tackles the challenging problem of jointly inferring time-varying network topologies and imputing missing data from partially observed graph signals. We propose a unified non-convex optimization framework to simultaneously…

Machine Learning · Statistics 2026-05-07 Chuansen Peng , Xiaojing Shen

Neural networks are powerful function approximators with tremendous potential in learning complex distributions. However, they are prone to overfitting on spurious patterns. Bayesian inference provides a principled way to regularize neural…

Machine Learning · Computer Science 2024-12-02 Yanzhe Bekkemoen , Helge Langseth

Gene regulatory networks play a crucial role in controlling an organism's biological processes, which is why there is significant interest in developing computational methods that are able to extract their structure from high-throughput…

Machine Learning · Statistics 2018-09-19 Ioan Gabriel Bucur , Tom van Bussel , Tom Claassen , Tom Heskes

Spatially resolved transcriptomics represents a significant advancement in single-cell analysis by offering both gene expression data and their corresponding physical locations. However, this high degree of spatial resolution entails a…

Genomics · Quantitative Biology 2024-03-19 Xiaoyu Li , Wenwen Min , Shunfang Wang , Changmiao Wang , Taosheng Xu

The present paper proposes a novel Bayesian, computational strategy in the context of model-based inverse problems in elastostatics. On one hand we attempt to provide probabilistic estimates of the material properties and their spatial…

Computation · Statistics 2015-12-21 P. S. Koutsourelakis

Spatial transcriptomics is a technology that captures gene expression levels at different spatial locations, widely used in tumor microenvironment analysis and molecular profiling of histopathology, providing valuable insights into…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Junzhuo Liu , Markus Eckstein , Zhixiang Wang , Friedrich Feuerhake , Dorit Merhof

We introduce a novel stochastic regularization technique for deep neural networks, which decomposes a layer into multiple branches with different parameters and merges stochastically sampled combinations of the outputs from the branches…

Machine Learning · Computer Science 2019-10-04 Wonpyo Park , Paul Hongsuck Seo , Bohyung Han , Minsu Cho

interpretable, and well understood models that are routinely employed even though, as is revealed through prior and posterior predictive checks, these can poorly characterise the spatial heterogeneity in the underlying process of interest.…

Machine Learning · Statistics 2024-04-08 Andrew Zammit-Mangion , Michael D. Kaminski , Ba-Hien Tran , Maurizio Filippone , Noel Cressie

This paper considers a high-dimensional linear regression problem where there are complex correlation structures among predictors. We propose a graph-constrained regularization procedure, named Sparse Laplacian Shrinkage with the Graphical…

Methodology · Statistics 2019-04-10 Yuehan Yang , Siwei Xia , Hu Yang

Spatial regression of random fields based on potentially biased sensing information is proposed in this paper. One major concern in such applications is that since it is not known a-priori what the accuracy of the collected data from each…

Signal Processing · Electrical Eng. & Systems 2020-09-04 Qikun Xiang , Ido Nevat , Gareth W. Peters

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

Variable selection is crucial in high-dimensional omics-based analyses, since it is biologically reasonable to assume only a subset of non-noisy features contributes to the data structures. However, the task is particularly hard in an…

Methodology · Statistics 2022-03-22 Emilie Eliseussen , Thomas Fleischer , Valeria Vitelli