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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…

人工智能 · 计算机科学 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),…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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)…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

人工智能 · 计算机科学 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…

机器学习 · 计算机科学 2025-10-22 Yili Wang , Tairan Huang , Changlong He , Qiutong Li , Jianliang Gao