English
Related papers

Related papers: Learning Time-Varying Graph Signals via Koopman

200 papers

Variational autoencoder (VAE) is a widely used generative model for learning latent representations. Burda et al. in their seminal paper showed that learning capacity of VAE is limited by over-pruning. It is a phenomenon where a significant…

Machine Learning · Computer Science 2020-08-10 Rayyan Ahmad Khan , Muhammad Umer Anwaar , Martin Kleinsteuber

Many tasks in graph machine learning, such as link prediction and node classification, are typically solved by using representation learning, in which each node or edge in the network is encoded via an embedding. Though there exists a lot…

This paper takes a step towards temporal reasoning in a dynamically changing video, not in the pixel space that constitutes its frames, but in a latent space that describes the non-linear dynamics of the objects in its world. We introduce…

Machine Learning · Statistics 2017-10-31 Marco Fraccaro , Simon Kamronn , Ulrich Paquet , Ole Winther

Graph self-supervised learning seeks to learn effective graph representations without relying on labeled data. Among various approaches, graph autoencoders (GAEs) have gained significant attention for their efficiency and scalability.…

Machine Learning · Computer Science 2025-06-17 Yang Liu , Deyu Bo , Wenxuan Cao , Yuan Fang , Yawen Li , Chuan Shi

Graph representation learning (also known as network embedding) has been extensively researched with varying levels of granularity, ranging from nodes to graphs. While most prior work in this area focuses on node-level representation,…

Machine Learning · Computer Science 2023-06-05 Lili Wang , Chenghan Huang , Weicheng Ma , Xinyuan Cao , Soroush Vosoughi

Variational autoencoders (VAE) are powerful generative models that learn the latent representations of input data as random variables. Recent studies show that VAE can flexibly learn the complex temporal dynamics of time series and achieve…

Machine Learning · Computer Science 2023-11-14 Borui Cai , Shuiqiao Yang , Longxiang Gao , Yong Xiang

Inference of space-time varying signals on graphs emerges naturally in a plethora of network science related applications. A frequently encountered challenge pertains to reconstructing such dynamic processes, given their values over a…

Machine Learning · Computer Science 2018-09-25 Vassilis N. Ioannidis , Daniel Romero , Georgios B. Giannakis

Representing and predicting high-dimensional and spatiotemporally chaotic dynamical systems remains a fundamental challenge in dynamical systems and machine learning. Although data-driven models can achieve accurate short-term forecasts,…

Machine Learning · Computer Science 2026-02-17 Liangyu Su , Jun Shu , Rui Liu , Deyu Meng , Zongben Xu

Spatiotemporal imaging has applications in e.g. cardiac diagnostics, surgical guidance, and radiotherapy monitoring, In this paper, we explain the temporal motion by identifying the underlying dynamics, only based on the sequential images.…

Medical Physics · Physics 2024-10-16 Niklas Gunnarsson , Peter Kimstrand , Jens Sjölund , Thomas B. Schön

Recurrent neural networks are widely used on time series data, yet such models often ignore the underlying physical structures in such sequences. A new class of physics-based methods related to Koopman theory has been introduced, offering…

Computational Physics · Physics 2020-07-01 Omri Azencot , N. Benjamin Erichson , Vanessa Lin , Michael W. Mahoney

Continuously-observed event occurrences, often exhibit self- and mutually-exciting effects, which can be well modeled using temporal point processes. Beyond that, these event dynamics may also change over time, with certain periodic trends.…

Machine Learning · Computer Science 2024-03-11 Sikun Yang , Hongyuan Zha

Real-time remote control over wireless is an important-yet-challenging application in 5G and beyond due to its mission-critical nature under limited communication resources. Current solutions hinge on not only utilizing ultra-reliable and…

Information Theory · Computer Science 2022-09-16 Abanoub M. Girgis , Hyowoon Seo , Jihong Park , Mehdi Bennis , Jinho Choi

Graph autoencoders (AE) and variational autoencoders (VAE) recently emerged as powerful node embedding methods, with promising performances on challenging tasks such as link prediction and node clustering. Graph AE, VAE and most of their…

Machine Learning · Computer Science 2019-10-03 Guillaume Salha , Romain Hennequin , Michalis Vazirgiannis

Graphs are a fundamental abstraction for modeling relational data. However, graphs are discrete and combinatorial in nature, and learning representations suitable for machine learning tasks poses statistical and computational challenges. In…

Machine Learning · Statistics 2019-05-16 Aditya Grover , Aaron Zweig , Stefano Ermon

Knowledge graph embedding, which projects symbolic entities and relations into continuous vector spaces, is gaining increasing attention. Previous methods allow a single static embedding for each entity or relation, ignoring their intrinsic…

Artificial Intelligence · Computer Science 2020-04-07 Quan Wang , Pingping Huang , Haifeng Wang , Songtai Dai , Wenbin Jiang , Jing Liu , Yajuan Lyu , Yong Zhu , Hua Wu

This paper endeavors to learn time-varying graphs by using structured temporal priors that assume underlying relations between arbitrary two graphs in the graph sequence. Different from many existing chain structure based methods in which…

Machine Learning · Computer Science 2022-02-24 Xiang Zhang , Qiao Wang

Graph simulation has recently received a surge of attention in graph processing and analytics. In real-life applications, e.g. social science, biology, and chemistry, many graphs are composed of a series of evolving graphs (i.e., temporal…

Machine Learning · Computer Science 2025-10-08 Sheng Xiang , Chenhao Xu , Dawei Cheng , Xiaoyang Wang , Ying Zhang

Spatiotemporal graph neural networks (STGNNs) have shown promising results in many domains, from forecasting to epidemiology. However, understanding the dynamics learned by these models and explaining their behaviour is significantly more…

Machine Learning · Computer Science 2026-04-08 Michele Guerra , Simone Scardapane , Filippo Maria Bianchi

Graph-based techniques emerged as a choice to deal with the dimensionality issues in modeling multivariate time series. However, there is yet no complete understanding of how the underlying structure could be exploited to ease this task.…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Elvin Isufi , Andreas Loukas , Nathanael Perraudin , Geert Leus

This paper presents an estimation method for time-varying graph signals among multiple sub-networks. In many sensor networks, signals observed are associated with nodes (i.e., sensors), and edges of the network represent the inter-node…

Signal Processing · Electrical Eng. & Systems 2024-09-18 Tsutahiro Fukuhara , Junya Hara , Hiroshi Higashi , Yuichi Tanaka