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Discontinuities and delayed terms are encountered in the governing equations of a large class of problems ranging from physics and engineering to medicine and economics. These systems cannot be properly modelled and simulated with standard…

Artificial Intelligence · Computer Science 2024-09-27 Thibault Monsel , Onofrio Semeraro , Lionel Mathelin , Guillaume Charpiat

Graph Neural Networks (GNNs) have demonstrated remarkable success in modeling complex relationships in graph-structured data. A recent innovation in this field is the family of Differential Equation-Inspired Graph Neural Networks (DE-GNNs),…

Machine Learning · Computer Science 2024-01-23 Moshe Eliasof , Eldad Haber , Eran Treister , Carola-Bibiane Schönlieb

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

Neural ordinary differential equations (Neural ODEs) are an effective framework for learning dynamical systems from irregularly sampled time series data. These models provide a continuous-time latent representation of the underlying…

Machine Learning · Computer Science 2023-03-06 Edward De Brouwer , Rahul G. Krishnan

Neural networks with physics based inductive biases such as Lagrangian neural networks (LNN), and Hamiltonian neural networks (HNN) learn the dynamics of physical systems by encoding strong inductive biases. Alternatively, Neural ODEs with…

Machine Learning · Computer Science 2024-06-18 Suresh Bishnoi , Ravinder Bhattoo , Sayan Ranu , N. M. Anoop Krishnan

Ordinary differential equations (ODEs) can provide mechanistic models of temporally local changes of processes, where parameters are often informed by external knowledge. While ODEs are popular in systems modeling, they are less established…

Methodology · Statistics 2025-07-10 Maren Hackenberg , Astrid Pechmann , Clemens Kreutz , Janbernd Kirschner , Harald Binder

Data-driven models for glucose level forecast often do not provide meaningful insights despite accurate predictions. Yet, context understanding in medicine is crucial, in particular for diabetes management. In this paper, we introduce…

Machine Learning · Computer Science 2021-11-16 Quentin Blampey , Mehdi Rahim

Temporal Graph Neural Networks (TGNNs) have gained growing attention for modeling and predicting structures in temporal graphs. However, existing TGNNs primarily focus on pairwise interactions while overlooking higher-order structures that…

Machine Learning · Computer Science 2025-05-22 Jingzhe Liu , Zhigang Hua , Yan Xie , Bingheng Li , Harry Shomer , Yu Song , Kaveh Hassani , Jiliang Tang

Medical time series has been playing a vital role in real-world healthcare systems as valuable information in monitoring health conditions of patients. Accurate classification for medical time series, e.g., Electrocardiography (ECG)…

Machine Learning · Computer Science 2025-02-10 Wei Fan , Jingru Fei , Dingyu Guo , Kun Yi , Xiaozhuang Song , Haolong Xiang , Hangting Ye , Min Li

This work introduces Neural Chronos Ordinary Differential Equations (Neural CODE), a deep neural network architecture that fits a continuous-time ODE dynamics for predicting the chronology of a system both forward and backward in time. To…

Machine Learning · Computer Science 2025-03-27 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

Node classification for graph-structured data aims to classify nodes whose labels are unknown. While studies on static graphs are prevalent, few studies have focused on dynamic graph node classification. Node classification on dynamic…

Machine Learning · Computer Science 2022-12-08 Jiarui Sun , Mengting Gu , Chin-Chia Michael Yeh , Yujie Fan , Girish Chowdhary , Wei Zhang

While Hyperbolic Graph Neural Network (HGNN) has recently emerged as a powerful tool dealing with hierarchical graph data, the limitations of scalability and efficiency hinder itself from generalizing to deep models. In this paper, by…

Machine Learning · Computer Science 2024-06-10 Jiaxu Liu , Xinping Yi , Sihao Wu , Xiangyu Yin , Tianle Zhang , Xiaowei Huang , Shi Jin

Accurately predicting long-horizon molecular dynamics (MD) trajectories remains a significant challenge, as existing deep learning methods often struggle to retain fidelity over extended simulations. We hypothesize that one key factor…

Machine Learning · Computer Science 2025-07-01 Fang Sun , Zijie Huang , Haixin Wang , Huacong Tang , Xiao Luo , Wei Wang , Yizhou Sun

Hypergraph data, which capture multi-way interactions among entities, are increasingly prevalent in the big data era. Generating new hyperlinks from an observed, usually high-dimensional hypergraph is an important yet challenging task with…

Methodology · Statistics 2026-05-14 Shihao Wu , Junyi Yang , Gongjun Xu , Ji Zhu

Accurate and explainable health event predictions are becoming crucial for healthcare providers to develop care plans for patients. The availability of electronic health records (EHR) has enabled machine learning advances in providing these…

Machine Learning · Computer Science 2021-05-18 Chang Lu , Chandan K. Reddy , Prithwish Chakraborty , Samantha Kleinberg , Yue Ning

There has been an increasing focus in learning interpretable feature representations, particularly in applications such as medical image analysis that require explainability, whilst relying less on annotated data (since annotations can be…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Gabriele Valvano , Agisilaos Chartsias , Andrea Leo , Sotirios A. Tsaftaris

In anti-cancer drug development, a major scientific challenge is disentangling the complex relationships between high-dimensional genomics data from patient tumor samples, the corresponding tumor's organ of origin, the drug targets…

Machine Learning · Computer Science 2024-03-29 Omid Bazgir , Zichen Wang , Ji Won Park , Marc Hafner , James Lu

The uncertainty of clinical examinations frequently leads to irregular observation intervals in longitudinal imaging data, posing challenges for modeling disease progression.Most existing imaging-based disease prediction models operate in…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Xin Hong , Ying Shi , Yinhao Li , Yen-Wei Chen

Alzheimer's disease (AD) is a devastating neurodegenerative condition that precedes progressive and irreversible dementia; thus, predicting its progression over time is vital for clinical diagnosis and treatment. Numerous studies have…

Artificial Intelligence · Computer Science 2023-10-06 Seungwoo Jeong , Wonsik Jung , Junghyo Sohn , Heung-Il Suk

Heterogeneous temporal graphs (HTGs) are ubiquitous data structures in the real world. Recently, to enhance representation learning on HTGs, numerous attention-based neural networks have been proposed. Despite these successes, existing…

Machine Learning · Computer Science 2025-10-22 Yili Wang , Tairan Huang , Changlong He , Qiutong Li , Jianliang Gao
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