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Low-dimensional vector representations of network nodes have proven successful to feed graph data to machine learning algorithms and to improve performance across diverse tasks. Most of the embedding techniques, however, have been developed…

Physics and Society · Physics 2021-05-04 Koya Sato , Mizuki Oka , Alain Barrat , Ciro Cattuto

Many consequential real-world systems, like wind fields and ocean currents, are dynamic and hard to model. Learning their governing dynamics remains a central challenge in scientific machine learning. Dynamic Mode Decomposition (DMD)…

Machine Learning · Computer Science 2025-11-26 Yujin Kim , Sarah Dean

Accurate aircraft trajectory prediction is critical for air traffic management, airline operations, and environmental assessment. This paper introduces NODE-FDM, a Neural Ordinary Differential Equations-based Flight Dynamics Model trained…

Machine Learning · Computer Science 2025-09-30 Gabriel Jarry , Ramon Dalmau , Xavier Olive , Philippe Very

Model Predictive Path Integral (MPPI) control is a powerful sampling-based strategy for nonlinear autonomous systems. However, its performance is often bottlenecked by the fidelity of nominal dynamics. We propose ICODE-MPPI, a robust…

Robotics · Computer Science 2026-05-06 Shugen Song , Wenjie Mei , Chengyan Zhao

Predicting vehicle trajectories plays an important role in autonomous driving and ITS applications. Although multiple deep learning algorithms are devised to predict vehicle trajectories, their reliant on specific graph structure (e.g.,…

Robotics · Computer Science 2026-04-09 Diyi Liu , Zihan Niu , Tu Xu , Lishan Sun

To model time series accurately is important within a wide range of fields. As the world is generally too complex to be modelled exactly, it is often meaningful to assess the probability of a dynamical system to be in a specific state. This…

Machine Learning · Computer Science 2023-03-16 Mari Dahl Eggen , Alise Danielle Midtfjord

Universal Multimodal Retrieval requires unified embedding models capable of interpreting diverse user intents, ranging from simple keywords to complex compositional instructions. While Multimodal Large Language Models (MLLMs) possess strong…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Xiangzhao Hao , Shijie Wang , Tianyu Yang , Tianyue Wang , Haiyun Guo , Jinqiao Wang

We propose Characteristic-Neural Ordinary Differential Equations (C-NODEs), a framework for extending Neural Ordinary Differential Equations (NODEs) beyond ODEs. While NODEs model the evolution of a latent variables as the solution to an…

Machine Learning · Computer Science 2022-11-10 Xingzi Xu , Ali Hasan , Khalil Elkhalil , Jie Ding , Vahid Tarokh

Forecasting high-dimensional dynamical systems is a fundamental challenge in various fields, such as geosciences and engineering. Neural Ordinary Differential Equations (NODEs), which combine the power of neural networks and numerical…

Machine Learning · Computer Science 2024-10-16 Dibyajyoti Chakraborty , Seung Whan Chung , Troy Arcomano , Romit Maulik

There has been a significant focus on modelling emotion ambiguity in recent years, with advancements made in representing emotions as distributions to capture ambiguity. However, there has been comparatively less effort devoted to the…

Artificial Intelligence · Computer Science 2024-08-01 Jingyao Wu , Ting Dang , Vidhyasaharan Sethu , Eliathamby Ambikairajah

Effective urban traffic management is vital for sustainable city development, relying on intelligent systems with machine learning tasks such as traffic flow prediction and travel time estimation. Traditional approaches usually focus on…

Machine Learning · Computer Science 2025-02-12 Chengkai Han , Jingyuan Wang , Yongyao Wang , Xie Yu , Hao Lin , Chao Li , Junjie Wu

Neural Ordinary Differential Equations (NeuralODEs) present an attractive way to extract dynamical laws from time series data, as they bridge neural networks with the differential equation-based modeling paradigm of the physical sciences.…

Machine Learning · Computer Science 2024-01-24 Joon-Hyuk Ko , Hankyul Koh , Nojun Park , Wonho Jhe

We propose a novel framework for enhancing robotic adaptability and learning efficiency, which integrates unsupervised trajectory segmentation with adaptive probabilistic movement primitives (ProMPs). By employing a cutting-edge deep…

Robotics · Computer Science 2024-05-01 Tianci Gao

We introduce OS-net (Orbitally Stable neural NETworks), a new family of neural network architectures specifically designed for periodic dynamical data. OS-net is a special case of Neural Ordinary Differential Equations (NODEs) and takes…

Dynamical Systems · Mathematics 2023-09-27 Marieme Ngom , Carlo Graziani

There are two major challenges for scaling up robot navigation around dynamic obstacles: the complex interaction dynamics of the obstacles can be hard to model analytically, and the complexity of planning and control grows exponentially in…

Robotics · Computer Science 2023-07-07 Hongzhan Yu , Chiaki Hirayama , Chenning Yu , Sylvia Herbert , Sicun Gao

Neural Ordinary Differential Equations (N-ODEs) are a powerful building block for learning systems, which extend residual networks to a continuous-time dynamical system. We propose a Bayesian version of N-ODEs that enables well-calibrated…

Machine Learning · Computer Science 2020-02-19 Andreas Look , Melih Kandemir

Dynamical analysis of manufacturing and natural systems provides critical information about production of manufactured and natural resources respectively, thus playing an important role in assessing sustainability of these systems. However,…

Systems and Control · Electrical Eng. & Systems 2021-10-19 William Farlessyost , Shweta Singh

Many optimization tasks involve streaming data with unknown concept drifts, posing a significant challenge as Streaming Data-Driven Optimization (SDDO). Existing methods, while leveraging surrogate model approximation and historical…

Machine Learning · Computer Science 2025-12-09 Yuan-Ting Zhong , Ting Huang , Xiaolin Xiao , Yue-Jiao Gong

We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical perspective to address some of the main properties and paradigms of Deep Learning (DL), in particular, data classification and universal approximation.…

Optimization and Control · Mathematics 2021-04-13 Domènec Ruiz-Balet , Enrique Zuazua

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

Machine Learning · Computer Science 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee