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Representation learning on dynamic graphs requires capturing complex dependencies that evolve across both time and structure. Existing approaches typically adopt fixed temporal decay schemes or predetermined structural propagation depths,…

Dynamical systems governed by ordinary differential equations (ODEs) serve as models for a vast number of natural and social phenomena. In this work, we offer a fresh perspective on the classical problem of imputing missing time series…

机器学习 · 计算机科学 2025-03-17 Patrick Seifner , Kostadin Cvejoski , Antonia Körner , Ramsés J. Sánchez

Spatiotemporal graph neural networks have shown to be effective in time series forecasting applications, achieving better performance than standard univariate predictors in several settings. These architectures take advantage of a graph…

机器学习 · 计算机科学 2023-11-13 Andrea Cini , Ivan Marisca , Daniele Zambon , Cesare Alippi

Ordinary differential equations (ODEs) are widely used to describe the time evolution of natural phenomena across various scientific fields. Estimating the parameters of these systems from data is a challenging task, particularly when…

数值分析 · 数学 2025-01-23 S. Syafiie , Aries Subiantoro , Vivi Andasari , Fernando Tadeo

Given high-dimensional time series data (e.g., sensor data), how can we detect anomalous events, such as system faults and attacks? More challengingly, how can we do this in a way that captures complex inter-sensor relationships, and…

机器学习 · 计算机科学 2021-06-15 Ailin Deng , Bryan Hooi

Multivariate time series classification (MTSC) is an important data mining task, which can be effectively solved by popular deep learning technology. Unfortunately, the existing deep learning-based methods neglect the hidden dependencies in…

机器学习 · 计算机科学 2024-08-19 Huaiyuan Liu , Xianzhang Liu , Donghua Yang , Zhiyu Liang , Hongzhi Wang , Yong Cui , Jun Gu

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

机器学习 · 计算机科学 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

Data-centric methods have shown great potential in understanding and predicting spatiotemporal dynamics, enabling better design and control of the object system. However, deep learning models often lack interpretability, fail to obey…

机器学习 · 计算机科学 2025-01-07 Yuan Mi , Pu Ren , Hongteng Xu , Hongsheng Liu , Zidong Wang , Yike Guo , Ji-Rong Wen , Hao Sun , Yang Liu

In this paper, we investigate the decentralized statistical inference problem, where a network of agents cooperatively recover a (structured) vector from private noisy samples without centralized coordination. Existing optimization-based…

机器学习 · 计算机科学 2021-04-06 He Wang , Yifei Shen , Ziyuan Wang , Dongsheng Li , Jun Zhang , Khaled B. Letaief , Jie Lu

Manipulating deformable linear objects by robots has a wide range of applications, e.g., manufacturing and medical surgery. To complete such tasks, an accurate dynamics model for predicting the deformation is critical for robust control. In…

机器人学 · 计算机科学 2022-03-30 Changhao Wang , Yuyou Zhang , Xiang Zhang , Zheng Wu , Xinghao Zhu , Shiyu Jin , Te Tang , Masayoshi Tomizuka

Graph neural ordinary differential equations (Graph ODEs) extend graph learning from discrete message-passing layers to continuous-time representation flows. While it supports adaptive long-range propagation, we show that Graph ODEs with…

机器学习 · 计算机科学 2026-04-28 Qinhan Hou , Jing Tang

This work introduces a new approach for accelerating the numerical analysis of time-domain partial differential equations (PDEs) governing complex physical systems. The methodology is based on a combination of a classical reduced-order…

机器学习 · 计算机科学 2024-06-06 Victor Matray , Faisal Amlani , Frédéric Feyel , David Néron

We present a new data-driven reduced-order modeling approach to efficiently solve parametrized partial differential equations (PDEs) for many-query problems. This work is inspired by the concept of implicit neural representation (INR),…

数值分析 · 数学 2023-11-30 Tianshu Wen , Kookjin Lee , Youngsoo Choi

A hybrid approach, incorporating concepts of nonlinear dynamics in artificial neural networks (ANN), is proposed to model time series generated by complex dynamic systems. We introduce well known features used in the study of dynamic…

comp-gas · 物理学 2008-02-03 D. R. Kulkarni , A. S. Pandya , J. C. Parikh

Graphs are a powerful representation tool in machine learning applications, with link prediction being a key task in graph learning. Temporal link prediction in dynamic networks is of particular interest due to its potential for solving…

机器学习 · 计算机科学 2024-01-17 Sanaz Hasanzadeh Fard , Mohammad Ghassemi

The generalization ability of Convolutional neural networks (CNNs) for biometrics drops greatly due to the adverse effects of various occlusions. To this end, we propose a novel unified framework integrated the merits of both CNNs and…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Min Ren , Yunlong Wang , Zhenan Sun , Tieniu Tan

We address the problem of learning the dynamics of an unknown non-parametric system linking a target and a feature time series. The feature time series is measured on a sparse and irregular grid, while we have access to only a few points of…

机器学习 · 统计学 2023-06-01 Linus Bleistein , Adeline Fermanian , Anne-Sophie Jannot , Agathe Guilloux

Graph neural networks (GNNs) have achieved strong performance in various applications. In the real world, network data is usually formed in a streaming fashion. The distributions of patterns that refer to neighborhood information of nodes…

机器学习 · 计算机科学 2020-12-07 Junshan Wang , Guojie Song , Yi Wu , Liang Wang

Graph Neural Networks (GNNs) are emerging as powerful tools for nonlinear Model Order Reduction (MOR) of time-dependent parameterized Partial Differential Equations (PDEs). However, existing methodologies struggle to combine geometric…

机器学习 · 计算机科学 2026-01-19 Lorenzo Tomada , Federico Pichi , Gianluigi Rozza

We investigate the reconstruction of time series from dynamical networks that are partially observed. In particular, we address the extent to which the time series at a node of the network can be successfully reconstructed when measuring…

数据分析、统计与概率 · 物理学 2024-10-11 Tyrus Berry , Timothy Sauer
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