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Neural Ordinary Differential Equations (ODE) are a promising approach to learn dynamic models from time-series data in science and engineering applications. This work aims at learning Neural ODE for stiff systems, which are usually raised…

Numerical Analysis · Mathematics 2021-10-04 Suyong Kim , Weiqi Ji , Sili Deng , Yingbo Ma , Christopher Rackauckas

Parkinson's disease (PD) shows heterogeneous, evolving brain-morphometry patterns. Modeling these longitudinal trajectories enables mechanistic insight, treatment development, and individualized 'digital-twin' forecasting. However, existing…

Machine Learning · Computer Science 2025-11-10 Xiaoda Wang , Yuji Zhao , Kaiqiao Han , Xiao Luo , Sanne van Rooij , Jennifer Stevens , Lifang He , Liang Zhan , Yizhou Sun , Wei Wang , Carl Yang

Poverty is a complex dynamic challenge that cannot be adequately captured using predefined differential equations. Nowadays, artificial machine learning (ML) methods have demonstrated significant potential in modelling real-world dynamical…

Dynamical Systems · Mathematics 2026-04-02 Sandeep Kumar Samota , Snehashish Chakraverty , Narayan Sethi

We develop a new method to detect anomalies within time series, which is essential in many application domains, reaching from self-driving cars, finance, and marketing to medical diagnosis and epidemiology. The method is based on…

Machine Learning · Computer Science 2022-02-22 Tim Schneider , Chen Qiu , Marius Kloft , Decky Aspandi Latif , Steffen Staab , Stephan Mandt , Maja Rudolph

Neural networks have shown promising potential in accelerating the numerical simulation of systems governed by partial differential equations (PDEs). Different from many existing neural network surrogates operating on high-dimensional…

Machine Learning · Computer Science 2025-01-09 Zijie Li , Saurabh Patil , Francis Ogoke , Dule Shu , Wilson Zhen , Michael Schneier , John R. Buchanan, , Amir Barati Farimani

Self-supervised learning (SSL) has emerged as a promising paradigm for addressing the annotation bottleneck in medical imaging by learning representations from unlabeled data. However, its effectiveness depends heavily on the design of the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Chathura Wimalasiri

Self-supervised learning (SSL) has emerged as a powerful technique for learning rich representations from unlabeled data. The data representations are able to capture many underlying attributes of data, and be useful in downstream…

Machine Learning · Computer Science 2023-12-01 Weicheng Zhu , Sheng Liu , Carlos Fernandez-Granda , Narges Razavian

Anomalies in time-series provide insights of critical scenarios across a range of industries, from banking and aerospace to information technology, security, and medicine. However, identifying anomalies in time-series data is particularly…

Machine Learning · Computer Science 2022-08-31 Wadie Skaf , Tomáš Horváth

Incorporating neural networks for the solution of Ordinary Differential Equations (ODEs) represents a pivotal research direction within computational mathematics. Within neural network architectures, the integration of the intrinsic…

Dynamical Systems · Mathematics 2024-01-10 Shanshan Xiao , Jiawei Zhang , Yifa Tang

In scanning microscopy based imaging techniques, there is a need to develop novel data acquisition schemes that can reduce the time for data acquisition and minimize sample exposure to the probing radiation. Sparse sampling schemes are…

Signal Processing · Electrical Eng. & Systems 2018-03-09 Yan Zhang , G. M. Dilshan Godaliyadda , Nicola Ferrier , Emine B. Gulsoy , Charles A. Bouman , Charudatta Phatak

The inherent slow imaging speed of Magnetic Resonance Image (MRI) has spurred the development of various acceleration methods, typically through heuristically undersampling the MRI measurement domain known as k-space. Recently, deep neural…

Image and Video Processing · Electrical Eng. & Systems 2022-04-13 Wei Peng , Li Feng , Guoying Zhao , Fang Liu

Deep sequence models have achieved notable success in time-series analysis, such as interpolation and forecasting. Recent advances move beyond discrete-time architectures like Recurrent Neural Networks (RNNs) toward continuous-time…

Machine Learning · Computer Science 2025-08-05 Haoran Li , Muhao Guo , Yang Weng , Hanghang Tong

Supervised machine learning provides state-of-the-art solutions to a wide range of computer vision problems. However, the need for copious labelled training data limits the capabilities of these algorithms in scenarios where such input is…

Computer Vision and Pattern Recognition · Computer Science 2022-09-02 András Kalapos , Bálint Gyires-Tóth

Modeling the dynamics of probability distributions from time-dependent data samples is a fundamental problem in many fields, including digital health. The goal is to analyze how the distribution of a biomarker, such as glucose, changes over…

Machine Learning · Statistics 2025-09-18 Antonio Álvarez-López , Marcos Matabuena

Self-supervised learning has become a popular way to pretrain a deep learning model and then transfer it to perform downstream tasks. However, most of these methods are developed on large-scale image datasets that contain natural objects…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Kevin Van Vorst , Li Shen

Despite the promise of scientific machine learning (SciML) in combining data-driven techniques with mechanistic modeling, existing approaches for incorporating hard constraints in neural differential equations (NDEs) face significant…

Machine Learning · Computer Science 2025-05-28 Avik Pal , Alan Edelman , Christopher Rackauckas

We consider the neural ODE perspective of supervised learning and study the impact of the final time $T$ (which may indicate the depth of a corresponding ResNet) in training. For the classical $L^2$--regularized empirical risk minimization…

Optimization and Control · Mathematics 2021-03-31 Carlos Esteve , Borjan Geshkovski , Dario Pighin , Enrique Zuazua

Time series with non-uniform intervals occur in many applications, and are difficult to model using standard recurrent neural networks (RNNs). We generalize RNNs to have continuous-time hidden dynamics defined by ordinary differential…

Machine Learning · Computer Science 2019-07-10 Yulia Rubanova , Ricky T. Q. Chen , David Duvenaud

We investigate the utility of in-domain self-supervised pre-training of vision models in the analysis of remote sensing imagery. Self-supervised learning (SSL) has emerged as a promising approach for remote sensing image classification due…

Computer Vision and Pattern Recognition · Computer Science 2024-02-06 Ivica Dimitrovski , Ivan Kitanovski , Nikola Simidjievski , Dragi Kocev

To study neurodegenerative diseases, longitudinal studies are carried on volunteer patients. During a time span of several months to several years, they go through regular medical visits to acquire data from different modalities, such as…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Cecilia Ostertag , Marie Beurton-Aimar , Muriel Visani , Thierry Urruty , Karell Bertet