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With the recent wave of digitalization, specifically in the context of safety-critical applications, there has been a growing need for computationally efficient, accurate, generalizable, and trustworthy models. Physics-based models have…

Numerical Analysis · Mathematics 2023-09-20 Sondre Sørbø , Sindre Stenen Blakseth , Adil Rasheed , Trond Kvamsdal , Omer San

An essential component of therapeutic drug/biomarker monitoring (TDM) is to combine patient data with prior knowledge for model-based predictions of therapy outcomes. Current Bayesian forecasting tools typically rely only on the most…

Quantitative Methods · Quantitative Biology 2019-09-23 Corinna Maier , Niklas Hartung , Jana de Wiljes , Charlotte Kloft , Wilhelm Huisinga

Capturing the inter-dependencies among multiple types of clinically-critical events is critical not only to accurate future event prediction, but also to better treatment planning. In this work, we propose a deep latent state-space…

Machine Learning · Computer Science 2024-07-30 Yuan Xue , Denny Zhou , Nan Du , Andrew M. Dai , Zhen Xu , Kun Zhang , Claire Cui

Data-driven modeling in mechanics is evolving rapidly based on recent machine learning advances, especially on artificial neural networks. As the field matures, new data and models created by different groups become available, opening…

Numerical Analysis · Mathematics 2024-03-11 Aleksandr Dekhovich , O. Taylan Turan , Jiaxiang Yi , Miguel A. Bessa

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

Statistical Mechanics · Physics 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

Medical studies for chronic disease are often interested in the relation between longitudinal risk factor profiles and individuals' later life disease outcomes. These profiles may typically be subject to intermediate structural changes due…

Applications · Statistics 2023-08-22 Sandra Keizer , Zhuozhao Zhan , Vasan S. Ramachandran , Edwin R. van den Heuvel

When solving partial differential equations using classical schemes such as finite difference or finite volume methods, sufficiently fine meshes and carefully designed schemes are required to achieve high-order accuracy of numerical…

Numerical Analysis · Mathematics 2025-04-02 Jinrui Zhou , Yiqi Gu , Hua Shen , Liwei Xu , Juan Zhang , Guanyu Zhou

Dynamic prediction of causal effects under different treatment regimes conditional on an individual's characteristics and longitudinal history is an essential problem in precision medicine. This is challenging in practice because outcomes…

Methodology · Statistics 2023-03-07 Yizhen Xu , Jisoo Kim , Laura K. Hummers , Ami A. Shah , Scott Zeger

We propose a unified framework for adaptive routing in multitask, multimodal prediction settings where data heterogeneity and task interactions vary across samples. Motivated by applications in psychotherapy where structured assessments and…

The move towards personalized treatment and digital twins for cancer therapy requires a complete understanding of the mathematical models upon which these optimized simulation-based strategies are formulated. This study investigates the…

Quantitative Methods · Quantitative Biology 2025-11-21 Changin Oh , Kathleen P. Wilkie

Although mechanical ventilation is a lifesaving intervention in the ICU, it has harmful side-effects, such as barotrauma and volutrauma. These harms can occur due to asynchronies. Asynchronies are defined as a mismatch between the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-11 A. van Diepen , T. H. G. F. Bakkes , A. J. R. De Bie , S. Turco , R. A. Bouwman , P. H. Woerlee , M. Mischi

The widespread application of Electronic Health Records (EHR) data in the medical field has led to early successes in disease risk prediction using deep learning methods. These methods typically require extensive data for training due to…

Machine Learning · Computer Science 2024-11-28 Shibo Li , Hengliang Cheng , Weihua Li

Joint models for longitudinal and time-to-event data are commonly used in longitudinal studies to forecast disease trajectories over time. While there are many advantages to joint modeling, the standard forms suffer from limitations that…

Machine Learning · Statistics 2019-09-09 Bryan Lim , Mihaela van der Schaar

Hybrid neural ordinary differential equations (neural ODEs) integrate mechanistic models with neural ODEs, offering strong inductive bias and flexibility, and are particularly advantageous in data-scarce healthcare settings. However,…

Machine Learning · Computer Science 2026-03-04 Bob Junyi Zou , Lu Tian

Mobile health (mHealth) leverages digital technologies, such as mobile phones, to capture objective, frequent, and real-world digital phenotypes from individuals, enabling the delivery of tailored interventions to accommodate substantial…

Methodology · Statistics 2026-03-24 Xingche Guo , Zexi Cai , Yuanjia Wang , Donglin Zeng

We develop a prediction-based prescriptive model for learning optimal personalized treatments for patients based on their Electronic Health Records (EHRs). Our approach consists of: (i) predicting future outcomes under each possible therapy…

Machine Learning · Statistics 2018-12-06 Ruidi Chen , Ioannis Paschalidis

As metabolomics datasets are becoming larger and more complex, there is an increasing need for model-based data integration and analysis to optimally leverage these data. Dynamical models of metabolism allow for the integration of…

Quantitative Methods · Quantitative Biology 2023-11-29 Polina Lakrisenko , Daniel Weindl

Integrating multi-modal clinical data, such as electronic health records (EHR) and chest X-ray images (CXR), is particularly beneficial for clinical prediction tasks. However, in a temporal setting, multi-modal data are often inherently…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Wenfang Yao , Chen Liu , Kejing Yin , William K. Cheung , Jing Qin

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

Computation · Statistics 2024-05-10 Jianhua Xian , Ziqi Wang

Clinical data from electronic medical records, registries or trials provide a large source of information to apply machine learning methods in order to foster precision medicine, e.g. by finding new disease phenotypes or performing…

Machine Learning · Computer Science 2020-08-17 Maria Hügle , Gabriel Kalweit , Thomas Huegle , Joschka Boedecker