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Phase-field models of tumour growth have proved useful as theoretical tools to investigate cancer invasion. A key implicit assumption underlying mathematical models of this type which have so far been proposed, though, is that cells in the…

Analysis of PDEs · Mathematics 2025-07-08 Tommaso Lorenzi , Giulia Pozzi , Andrea Signori

The goal of this presentation is to build an efficient non-parametric Bayes classifier in the presence of large numbers of predictors. When analyzing such data, parametric models are often too inflexible while non-parametric procedures tend…

Methodology · Statistics 2013-01-07 Abhishek Bhattacharya

Deep unrolling is an emerging deep learning-based image reconstruction methodology that bridges the gap between model-based and purely deep learning-based image reconstruction methods. Although deep unrolling methods achieve…

Image and Video Processing · Electrical Eng. & Systems 2022-12-21 Canberk Ekmekci , Mujdat Cetin

The comprehensive integration of machine learning healthcare models within clinical practice remains suboptimal, notwithstanding the proliferation of high-performing solutions reported in the literature. A predominant factor hindering…

Image and Video Processing · Electrical Eng. & Systems 2023-10-12 Ling Huang , Su Ruan , Yucheng Xing , Mengling Feng

Existing deep learning-based surrogate models facilitate efficient data generation, but fall short in uncertainty quantification, efficient parameter space exploration, and reverse prediction. In our work, we introduce SurroFlow, a novel…

Machine Learning · Computer Science 2024-07-19 Jingyi Shen , Yuhan Duan , Han-Wei Shen

Computer models are now widely used across a range of scientific disciplines to describe various complex physical systems, however to perform full uncertainty quantification we often need to employ emulators. An emulator is a fast…

Methodology · Statistics 2019-05-06 Ian Vernon , Samuel E. Jackson , Jonathan A. Cumming

We present a new method for exploring cancer gene expression data based on tools from algebraic topology. Our method selects a small relevant subset from tens of thousands of genes while simultaneously identifying nontrivial higher order…

Genomics · Quantitative Biology 2014-10-15 Svetlana Lockwood , Bala Krishnamoorthy

Patient-reported outcome (PRO) measures are increasingly collected as a means of measuring healthcare quality and value. The capability to predict such measures enables patient-provider shared decision making and the delivery of…

Methodology · Statistics 2023-03-01 Jaeyoung Park , Muxuan Liang , Ying-Qi Zhao , Xiang Zhong

The ever-increasing parameter counts of deep learning models necessitate effective compression techniques for deployment on resource-constrained devices. This paper explores the application of information geometry, the study of…

Machine Learning · Computer Science 2025-07-15 Zakhar Shumaylov , Vasileios Tsiaras , Yannis Stylianou

We describe a diffeomorphic registration algorithm that allows groups of images to be accurately aligned to a common space, which we intend to incorporate into the SPM software. The idea is to perform inference in a probabilistic graphical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Mikael Brudfors , Yaël Balbastre , Guillaume Flandin , Parashkev Nachev , John Ashburner

The past few years have seen a revived interest in quantum geometrical characterizations of band structures due to the rapid development of topological insulators and semi-metals. Although the metric tensor has been connected to many…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Adrien Bouhon , Abigail Timmel , Robert-Jan Slager

Background: Radiotherapy outcomes are usually predicted using the Linear Quadratic model. However, this model does not integrate complex features of tumor growth, in particular cell cycle regulation. Methods: In this paper, we propose a…

Tissues and Organs · Quantitative Biology 2007-05-23 Benjamin Ribba , Thierry Colin , Santiago Schnell

Turing patterns play a fundamental role in morphogenesis and population dynamics, encoding key information about the underlying biological mechanisms. Yet, traditional inverse problems have largely relied on non-biological data such as…

Analysis of PDEs · Mathematics 2025-09-10 Yuhan Li , Hongyu Liu , Catharine W. K. Lo

In this paper we investigate the geometry of the likelihood of the unknown parameters in a simple class of Bayesian directed graphs with hidden variables. This enables us, before any numerical algorithms are employed, to obtain certain…

Machine Learning · Computer Science 2013-02-01 Raffaella Settimi , Jim Q. Smith

From a systems biology perspective the majority of cancer models, although interesting and providing a qualitative explanation of some problems, have a major disadvantage in that they usually miss a genuine connection with experimental…

Statistics Theory · Mathematics 2023-05-25 Zuzanna Szymańska , Jakub Skrzeczkowski , Błażej Miasojedow , Piotr Gwiazda

Integrating heterogeneous biomedical data including imaging, omics, and clinical records supports accurate diagnosis and personalised care. Graph-based models fuse such non-Euclidean data by capturing spatial and relational structure, yet…

Genomics · Quantitative Biology 2025-05-06 Alireza Sadeghi , Farshid Hajati , Ahmadreza Argha , Nigel H Lovell , Min Yang , Hamid Alinejad-Rokny

Microsatellite instability (MSI) is associated with several tumor types and its status has become increasingly vital in guiding patient treatment decisions. However, in clinical practice, distinguishing MSI from its counterpart is…

Machine Learning · Statistics 2020-10-08 Jin Zhu , Wangwei Wu , Yuting Zhang , Shiyun Lin , Yukang Jiang , Ruixian Liu , Xueqin Wang

Heterogeneity is a fundamental characteristic of cancer. To accommodate heterogeneity, subgroup identification has been extensively studied and broadly categorized into unsupervised and supervised analysis. Compared to unsupervised…

Methodology · Statistics 2026-02-25 Xing Qin , Xu Liu , Shuangge Ma , Mengyun Wu

Biological processes involve a variety of spatial and temporal scales. A holistic understanding of many biological processes therefore requires multi-scale models which capture the relevant properties on all these scales. In this manuscript…

Molecular Networks · Quantitative Biology 2015-06-23 Jan Hasenauer , Nick Jagiella , Sabrina Hross , Fabian J. Theis

Many cognitive neuroscience studies use large feature sets to predict and interpret brain activity patterns. Feature sets take many forms, from human stimulus annotations to representations in deep neural networks. Of crucial importance in…

Neurons and Cognition · Quantitative Biology 2022-12-07 Anna A. Ivanova , Martin Schrimpf , Stefano Anzellotti , Noga Zaslavsky , Evelina Fedorenko , Leyla Isik